appendix l: structural engineering
TRANSCRIPT
Appendix L: Structural Engineering Arcadia Feasibility Study
Arcadia Section 205: Flood Risk Management Project
October, 2019
Appendix L: Structural Engineering
USACE | Arcadia Feasibility Study 2
TABLE OF CONTENTS
1 Introduction ...................................................................................................................................... 3 1.1 Structural Locations ............................................................................................................ 3
2 Technical Guidelines and Reference Standards ............................................................................. 3 2.1 General ............................................................................................................................... 3 2.2 Closure Structures and Retaining and Flood Walls ............................................................ 4
3 Design Criteria ................................................................................................................................. 5 3.1 Performance Objectives ...................................................................................................... 5 3.2 Global Stability Criteria ....................................................................................................... 5 3.3 Design Considerations ........................................................................................................ 5 3.4 Materials .............................................................................................................................. 6 3.5 Material Dead Load Unit Weights ....................................................................................... 9
4 Loads.............................................................................................................................................. 10
5 Structural Design ............................................................................................................................ 12 5.1 T-Wall Floodwall ................................................................................................................ 12 5.2 Roadway and Railroad Closures ...................................................................................... 15 5.3 Additional Design Details .................................................................................................. 18
6 Structural Calculations ................................................................................................................... 20 LIST OF FIGURES Figure 5.1: Side view of a typical floodwall structure. ................................................................................. 12 Figure 5.2: Front view of a typical closure gate structure. .......................................................................... 15 LIST OF TABLES Table 1.1.1: Location of Structural Features ................................................................................................. 3 Table 3.1: Load Categories to Satisfy Performance Requirements .............................................................. 5 Table 3.2: Global Stability Criteria ................................................................................................................ 5 Table 3.3: Water Flood Elevations ................................................................................................................ 6 Table 3.4: Structure Elevations ..................................................................................................................... 6 Table 3.5: Applicable Concrete Design Load Factors................................................................................... 7 Table 3.6: Strength Reduction Factors (ACI 318-19) .................................................................................... 7 Table 3.7: Minimum Concrete Clear Cover ................................................................................................... 8 Table 3.8: Structural Soil Parameters ........................................................................................................... 8 Table 3.9: Standard Dead Load Unit Weights .............................................................................................. 9 Table 5.1: Wall Elevations ........................................................................................................................... 12 Table 5.2: Flood Wall Design Load Cases .................................................................................................. 13 Table 5.3: Structural Stability of Floodwall 1 (10 ft. tall) .............................................................................. 14 Table 5.4: Structural Stability of Floodwall 2 (11.5 ft. tall) ........................................................................... 14 Table 5.5: Design Summary of Floodwall 1 (10 ft. tall) ............................................................................... 14 Table 5.6: Design Summary of Floodwall 2 (11.5 ft. tall) ............................................................................ 15 Table 5.7: Closure Structure Elevations ..................................................................................................... 15 Table 5.8: Closure Structure Dimensions ................................................................................................... 16 Table 5.9: Closure Structures Design Load Cases ..................................................................................... 17 Table 5.10: Railroad Closure – Closure section stability analysis results .................................................. 17 Table 5.11: Railroad Closure – Closure Section Design Capacity Values ................................................. 18
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1 Introduction This appendix report provides the structural engineering in support of the flood risk management plan recommended for the feasibility study of Arcadia, WI. This report was based on developing a structural engineering design that meets feasibility requirements, enables refinement of the project’s structural features, and establishes a baseline cost estimate. The feasibility project consists of four reaches. The structural features for this project are part of the recommendations under the section known as Reach 2. In this section, the main structural features consist of two flood wall sections and three closure structures (Table 1.1.1). The structural components of the design and analysis consist of a reinforced concrete cantilever (T-type) floodwall; two (2) roadway closures; and a railroad closure. Aspects specific to each project feature, such as specific design analysis; loading values; and resulting factors of safety, are described in Section 5. 1.1 Structural Locations
The station location of each structure relative to the Levee Alignment R2 (reference sheet CS103/CS202), which represents the centerline of the levee crest, is presented in Table 1.1.1.
Table 1.1.1: Location of Structural Features
Structure Location From (STA)
To (STA)
Top Elevation
Bottom Elevation
East Railroad Bridge Closure R2 8+73.44 R2 9+65.44 736.70 723.70
River Street Closure R2 35+18.76 R2 36+02.43 734.90 723.59
Floodwall 1 R2 36+02.43 R2 37+85.30 734.90 725.0 R2 46+00.00 R2 52+07.32 734.90 725.0
Main Street Closure R2 37+85.30 R2 39+31.30 734.90 724.25 Floodwall 2 R2 39+31.30 R2 46+00.00 734.90(a) 725.0(a)
(a) Floodwall 2 has variable top and bottom elevations, it is sloping along the direction of the river flow. 2 Technical Guidelines and Reference Standards These features were designed according to the applicable USACE engineering regulations (ERs), engineering manuals (EMs), engineering technical letters (TLs), engineering circulars (ECs), and industry codes.
2.1 General
1. 2015 International Building Code, International Code Council; June 2014.
2. ACI 318-19, Building Code Requirements for Structural Concrete, ACI Committee 318; 2014.
3. AISC 325-17, Steel Construction Manual, Fifteenth Edition, American Institute of Steel Construction; May 2017.
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4. ASCE 7-16, Minimum Design Loads for Buildings and Other Structures, American Society of Civil Engineers; 2016.
5. UFC 3-320-06A, 1 March 2005, Concrete Floor Slabs on Grade Subjected to Heavy Loads.
6. EM 385-1-1 Safety and Health Requirements, 2014.
7. Aluminum Design Manual, 2015 Edition.
8. 2017 AASHTO Bridge Design Specifications manual.
9. 2007 AREMA Manual for Railway Engineering
10. AASHTO 2018 A Policy on Geometric Design of Highway and Streets
2.2 Closure Structures and Retaining and Flood Walls
1. ECB 2017-2 Revision and Clarification of EM 1110-2-2100 and EM 1110-2-2502.
2. EM 1110-2-1612, Ice Engineering, U.S. Army Corps of Engineers, Washington DC; October 2002.
3. EM 1110-2-2100, Stability Analysis of Concrete Structures, U.S. Army Corps of Engineers, Washington DC; 1 December 2005.
4. EM 1110-2-2102, Waterstops and Other Preformed Joint Materials for Civil Works Structures, U.S. Army Corps of Engineers, Washington DC; September 1995.
5. EM 1110-2-2104, Strength Design for Reinforced-Concrete Hydraulic Structures, U.S. Army Corps of Engineers, Washington DC; August 2003.
6. EM 1110-2-2502, Retaining and Flood Walls, U.S. Army Corps of Engineers, Washington DC; 29 September 1989.
7. EM 1110-2-2504, Design of Sheet Pile Walls, U.S. Army Corps of Engineers, Washington DC; March 1994.
8. ETL 1110-2-584, Design of Hydraulic Steel Structures, U.S. Army Corps of Engineers, Washington DC; 30 June 2014.
9. EM 1110-2-2705 - Structural Design of Closure Structures for Local Flood Protection Projects
10. EM 1110-2-3400 - Painting: New Construction and Maintenance AASHTO - Standard Specifications for Highway Bridges AASHTO - Standard Specifications for Movable Highway Bridges
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3 Design Criteria 3.1 Performance Objectives
Performance objectives for the hydraulic structures on the project are listed in Table 3.1. These performance objectives were adopted from Table 1 of ECB 2017-2 (Attachment A, p.3), for critical sections, following the guidance in EM 1110-2-2502 (Table 4-2, p. 4-6) and EM 1110-2-2607 (Chapter 10). This table supersedes Table 3-1 of EM 1110-2-2100.
Table 3.1: Load Categories to Satisfy Performance Requirements
Water Elevation Flood Side
Load Condition Categories
Return Period
Annual Exceedance Probability
(AEP)
Calculated Annual Exceedance Probability
Railroad Bridge
River Street
Main Street
Usual ≤10-Year Event
1 - 0.1 (≥10%)
10% AEP (10-Year Event) 732.2 728.9’ 728.5’
Unusual (critical)
10- to 750-Year Event
0.1 - 0.00133 (10% - 0.13%)
Design Flood Elevation (100-year + 3’) 736.2’ 734.4’ 733.5’
Extreme (critical)
>750 years or Top of
Structure
Less than 0.00133
(≤0.133%)
Top of Wall w. Superiority 736.7’ 734.9’ 734.9’
3.2 Global Stability Criteria
Global stability criteria for sliding, overturning, bearing, and flotation are evaluated in accordance with EM 1110-2-2502 (Table 4-2) and EM 1110-2-2100 (Chapter 3), as applicable. The minimum factors of safety for the stability of critical structures with ordinary site information, as defined in EM 1110-2-2100, are listed in Table 3.2. The failure mechanisms (sliding, overturning, bearing, and flotation) are described in Chapter 3 of EM 1110-2-2100.
Table 3.2: Global Stability Criteria
Condition Usual (U) Unusual (N) Extreme (X) Reference Sliding 2 1.5 1.1 EM 1110-2-2100 (Table 3-2)
Overturning 100% Base in Compression 75% Base in Compression Resultant within Base EM 1110-2-2100 (Table 3-5)
Bearing 3.5 3.0 2.0 ECB 2017-2 (Table 2)
Flotation 1.3 1.2 1.1 EM 1110-2-2100 (Table 3-4)
3.3 Design Considerations
3.3.1 Water Surface Elevations
HEC-RAS 5.0.5 hydraulics models were used to calculate the water surface elevations for the 10 percent AEP, the design flood elevation, and the minimum design grade surface elevations in support of the structural analysis. The minimum design grade elevation corresponds with the top of the levee/wall. Water surface elevations used to determine hydrostatic loading on the structural features were provided by the Hydrology engineer and are listed in Table 3.3: Water Flood Elevations.
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Table 3.3: Water Flood Elevations
Usual Unusual (N) Extreme Construction
Structure 10% AEP Design Flood Elevation (100 yr + 3’)
Top of Wall w.
Superiority Overtopping
Railroad Bridge 732.20 736.20 736.70 728.00
River Street 728.90 734.40 734.90 726.00
Main Street 728.50 733.50 734.90 726.00
3.3.2 Structural Superiority
Structural superiority for flood risk management generally involves adding height to project features. This is done in order to control the location of overtopping if a flood event were to exceed the capacity of the system; thus, reducing the potential for scour on the landside of the structures. This results in the structures being taller than adjacent levee features.
3.3.3 Elevations of the Structures
Elevations for the bottom of the key, the bottom of the structure, the minimum ground surface for frost design consideration, the top of levee or floodwall adjacent to structures, and the top of structures with structural superiority are in Table 3.4.
Table 3.4: Structure Elevations
Structure Minimum Ground
Surface EL (ft.)
Bottom of Structure EL
(ft.) Bottom of Key
EL (ft.)
Top of Levee/Wall at Structure EL
(ft.)
Top of Structure EL
(ft.)
Railroad Closure 731.50 726.00 N/A 736.70 737.00 River Street
Closure 731.09 723.50 723.50 734.90 735.00
Main Street Closure 731.81 724.25 723.50 734.90 735.00
Floodwall 1 730.50 725.00 723.50 734.90(a) 730.90(b)
735.00(a)
732.00(b)
Floodwall 2 726.50 721.00 719.25 735.00(c) 732.00(d) 732.50
(a) Section of Floodwall 1 from R2 36+02.43 to R2 37+85.30. (b) Section of Floodwall 1 from R2 46+00.00 to R2 52+07.32. (c) Section of Floodwall 2 from R2 39+31.30 to 46+00.00. (d) Section of Floodwall 2 from R2 39+31.30 to 46+00.00.
3.4 Materials
3.4.1 Concrete Design Load Factors
Reinforced concrete is designed per EM 1110-2-2104 (Chapter 3). Structures are designed to account for usual and unusual events that are likely to occur during the service life of the structure, and are evaluated for possible extreme loading events that are unlikely to occur during the service life of the structure. The single load factors used for each event are listed in Table 3.5. For each event, the load cases listed below are intended to provide adequate reliability against exceeding strength limit states. The load factors are applied in the determination of the required nominal
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strength for all combinations of axial, moment, and shear. Shear reinforcement is designed for the excess shear, the difference between the factored ultimate shear force and the shear strength provided by the concrete will be per Chapter 3 (Table 3-1) of EM 1110-2-2104.
Table 3.5: Applicable Concrete Design Load Factors
Load Category Variable Usual (U) Unusual (N) Extreme (X)
𝛾𝑈 𝛾𝑁 𝛾𝑋 Dead D 2.24 1.64 1.21, 0.92
Vertical Earth EV 2.24 1.64 1.351, 1.02
Lateral Earth EH 2.24 1.64 1.353, 0.93
Hydrostatic Hs 2.24 1.64 1.3
Soil Surcharge ES 2.24 1.64 1.3 (1) Applied when loads add to the predominant load effect. (2) Applied when loads subtract from the predominant load effect. (3) Load Factors for structures using at-rest pressure for design: Driving Pressure = 1.35; Resisting Pressure = 0.9. (4) For members in direct tension (net tension across the entire cross section): Usual load factor = 2.8, Unusual load factor = 2.0
3.4.2 Concrete Strength Resistance Factors
Strength reduction (resistance) factors from Chapter 21 of ACI318-19 were used in the design as shown in Table 3.6.
Table 3.6: Strength Reduction Factors (ACI 318-19)
Application Reduction Factor
Tension controlled sections 0.9
Compression controlled sections with spiral reinforcing 0.75
Other compression controlled sections 0.65
Shear and torsion 0.75
Bearing on concrete (except for post-tensioned anchorage zones and strut-and-tie models) 0.65
Post-tensioned anchorage zones 0.85
Strut-and-tie models, struts, ties, nodal zones, and bearing areas in such models 0.75 Flexure sections without axial load in pre-tensioned members where strand embedment is less than the
development length 0.85
3.4.3 Material Specifications
3.4.3.1 Reinforced Concrete
Due to the high ground water levels and the structures exposed to moisture, the water exposure class of concrete is set to F2, S0, W1, C1, in accordance with durability requirements presented in Chapter 4 (Section 4-8) of ACI 318-19, and Chapter 19 (Table 19.3.2.1) of ACI 318-19. The minimum 28-day compressive strength for reinforced concrete in all structural components will be 4,500 pounds per square inch (psi). The concrete mix design requirements will be determined in accordance with ACI 318-19 and ACI 350.
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3.4.3.2 Concrete Reinforcement
All reinforcing steel will be per ASTM A615, Grade 60, undeformed and uncoated. The minimum concrete clear cover is listed in the following table.
Table 3.7: Minimum Concrete Clear Cover
Concrete Location Applicable Features Minimum Clear Cover (inches) Reference
Formed or screeded surfaces subject to cavitation or abrasion
erosion
Top of foundation slab, inside of exterior walls, both sides of interior walls (pump
station/dams) 6 EM 1110-2-2104,
Sect. 2-6
Unformed concrete placed against earth Bottom of the floodwall foundation 4 EM 1110-2-2104,
Sect. 2-6 Equal to or greater than 24 inches
(2 ft.) in thickness Surface of exterior walls 4 EM 1110-2-2104, Sect. 2-6
Greater than 12 inches (1 ft.) and less than 24 inches (2 ft.) in
thickness Top and bottom of top slab 3 EM 1110-2-2104,
Sect. 2-6
3.4.3.3 Structural Steel
All structural steel within the structural components will be per the specifications of the American Institute of Steel Construction (AISC) Manual of Steel Construction, 15th Ed. Listed below are the specifications for commonly used structural products:
Wide-flange sections: ASTM A992 or A572 Grade 50 ASTM A992 – Wide Flange Shapes. ASTM A500, Grade B – Hollow Structural Shapes. ASTM A36 – Other Standard Shapes. ASTM A36 – Plates, bars and sheets. ASTM A325 – Structural Bolts
3.4.3.4 Stainless Steel
Type 316/316L – Submerged or corrosive applications. Type 304/304L – All other areas.
3.4.3.5 Soil
The material properties of the soil and the associated design recommendations are obtained from the Geotechnical engineer and are defined in Table 3.8. Design calculations will be based on the Levee Fill parameters.
Table 3.8: Structural Soil Parameters
Parameter Soil Type
Moist Unit Weight, 𝜸𝒎𝒐𝒊𝒔𝒕
(pcf)
Saturated Unit Weight, 𝜸𝒔𝒂𝒕 (pcf)
Friction Angle, Φ (deg)
Cohesion, c (psf)
Fine Grained Alluvial Sands (aquifer)
118 120 30 0
Fine Grained Blanket (Lean Clay)
116 117 34 0
Levee Fill 123 125 32 0
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3.5 Material Dead Load Unit Weights
Table 3.9: Standard Dead Load Unit Weights
Material Unit Weight (pcf) Concrete 150
Non-reinforced structural grout 130
Steel 490
Water 62.4
Moist Soil 123
Saturated Soil 125
Buoyant Soil 62.6
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4 Loads Live Loads. Live loading for this project will be analyzed, in accordance EM 1110-2-2104, during Plans and Specifications.
Traffic Loads. For the roadway closure structures, the design vehicle will be a WB-67 semitrailer (AASHTO 2018). In accordance with Wisconsin’s vehicle weight limits, the maximum gross weight is 80 kips; the individual axles are limited to 20 kips; and the tandem axles are limited to 34 kips.
Train Loads. For the railroad closure structure, the design train will be a Cooper E80. Ballast is assumed to be 120 pcf and the treated timber ties will be 60 plf.
Dead Loads. Self-weight and dead loads include the total weight of the concrete structure and its appurtenant features (grating and railings, etc). Incidental Loads. Incidental loads from silt, debris pile up and atmospheric ice loading is considered minimal and was neglected. Hydrostatic Loads. Hydrostatic loading is linear and increases with the fluid depth. Hydrostatic pressure is applied perpendicular to all surfaces regardless of orientation. For the structures in this system, hydrostatic pressures will occur laterally on vertical walls or vertically on base slabs. The design fluid depth is a function of the structure’s location relative to the free water surfaces (on each side of the line of protection) and the load case event being considered. Hydrostatic loads will consist of hydrostatic water pressure causing a head differential across the structure. Hydrostatic lateral and vertical pressures will be applied to all structures based on the assumed water level for each load case at a magnitude of 62.4 psf per foot depth. Construction/Maintenance Surcharge load. A surcharge load is applied to account for vehicle loading on the backfill behind abutments. The usual load case uses 100 psf to account for service vehicles (pick-ups) and unusual load case uses 250 psf to account for the WB-65 semitrailer. Earth Loads. The assumed soil parameters used for stability and capacity can be found in Table 3.8. The structures will be surrounded by soils exhibiting both cohesive and cohesionless properties. Lateral and vertical soil loads will be computed and applied in accordance with EM 1110-2-2502 for shallow or pile founded concrete structures. Because minimal movement or rotation is anticipated, at-rest pressures will be applied to the structures per EM 1110-2-2100. In the sliding analysis of the floodwall footing, in accordance with EM 1110-2-2502 and further USACE guidance, resisting passive pressures can be ignored due to the potential for scouring. A compaction induced load will be applied during Plans and Specifications, in accordance with Appendix J of EM 1110-2-2502, which uses both active and passive pressures.
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Wind Loads. Where applicable, wind loads are computed in accordance with ASCE 7-16.
Velocity, v: 115 mph Importance factor, I: 1.0 Exposure category: D
Snow Loads. Where applicable, snow loads are determined and distributed in accordance with ASCE 7-16. Snow loads are per square foot of horizontal projection. The ground Surface Roughness Category is D. The Risk Category of the structures is III.
Ground snow load, pg. 53 : 50 psf Importance factor, I: 1.1 Snow exposure factor, Ce: 0.9
Earthquake Loads. According to Section D.7 of Appendix D, Arcadia is located in a seismic zone 0 on the Uniform Building Code Seismic Zone Map, noted within the Engineering Regulation 1110-2-1806 (Earthquake Design and Evaluation for Civil Works Projects, 2016). No recent earthquakes or fault activity have been documented in the study area. Seismic design analysis is not required and is consistent with local and regional building code. Ice, Debris, and Impact Loads. Impact loads include floating debris and ice. Given the size of this structure debris and ice will tend to bridge across approaches and these loads were neglected except for the swing gate design. Any debris or ice loading into to retained fill of approach walls will not govern.
Uplift Pressure. Uplift was determined using line of creep in the software CTWALL-R. Frost Protection. The foundations of all the structures will be founded below the design frost depth. The minimum frost depth for foundations is 5.5 feet below the ground surface to the bottom of the footing for non-heated structures in accordance with EM 1110-1-1905 (Sect. 2-3.b, p. 2-2). Loading Conditions and Assumptions. All structures are to manage various river elevations, depending on the time of year and flow conditions. During high water events on Turton Creek and the Trempealeau River, the swing gates will work with the floodwalls and the levee system to contain the water flows from entering the city. In coordination with Hydraulics, and depending on the water flow conditions, four general load cases were assumed and listed below:
1. Normal High River Stage (10% AEP) 2. Unusual High River Stage (Design Flood Elevation: 100 yr. + 3’) 3. Extreme High River Stage (Top of Wall with Superiority) 4. Construction Condition (Construction + Surcharge)
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5 Structural Design The Reach 2 will be designed, constructed, and operated in accordance with current USACE standards and in accordance with the methods and references cited in USACE engineering manuals, technical letters, regulations, and other documents. The following documents the major features associated with Reach 2:
Flood wall structure (2 total) Closure structure (3 total)
5.1 T-Wall Floodwall
Floodwalls are reinforced concrete structures that serve as barriers to provide flood protection. Two floodwall monoliths are located along Reach 2: a 10 foot floodwall (T-Wall 1) and an 11.5 foot floodwall (T-Wall 2). The locations of both floodwalls are presented in Table 1.1.1. See Figure 5.1 and Table 5.1: Wall Elevations for a typical view and dimensions of each floodwall.
Figure 5.1: Side view of a typical floodwall structure.
5.1.1 T-Wall Dimensions
Table 5.1: Wall Elevations
Structure T-Wall 1 (10 ft. tall) T-Wall 2 (11.5 ft. tall) Top Elevation (ft.) 735.01 732.51
Bottom of Footing Elevation (ft.) 725.0 721.0
Ground Line (ft.) 730.5 726.5
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Stem Thickness, E (ft.) 1 1.25
Stem Height (ft.) 9 10.25
Footing Thickness, C (ft.) 1 1.25
Footing Length, D (ft.) 11 12
Key Depth, F (ft.) 1.5 1.75
Exposed Ground, A (ft.) 4.5 6 (1) The elevation of the floodwalls varies as it slopes down from STA 39+31.30 to STA 52+07.32, following the flow of the river. For more information, see sheet CS202 in the Attachments to this Appendix.
5.1.2 Structural Design Criteria
The T-wall monoliths are designed in accordance with USACE guidance for the design of hydraulic structures. Structural stability of the floodwalls and closure structures are in accordance with EM 1110-2-2502. In accordance with EM 2100, structures are to be designated as Critical or Normal. Given that the Arcadia FRMP is a high hazard project whose failure would result in loss of life, it is designated as Critical.
5.1.3 Design Loads and Load Cases
General load cases for the feasibility study’s floodwall design are shown in Table 5.2 and are discussed below. The maximum flood elevation considered applicable for the floodwall structures is the top of floodwall elevation. Each structure has structural superiority, resulting in a structure that is higher than the adjacent levee. Therefore, flood loading will not reach the top of the wall without significant overtopping of the levee so this loading is considered applicable. Table 5.2: Flood Wall Design Load Cases
Load Case Type 1) Construction + Surcharge Unusual 2) 10% AEP Usual 3) Design Flood Elevation (100 yr. + 3’) Unusual 4) Design Flood Elevation (100 yr. + 3’) + Superiority Extreme
5.1.3.1 Load Case 1: Construction + Surcharge (Unusual)
The T-Wall monoliths are complete with fill and a compaction loading of 250 plf is applied.
5.1.3.2 Load Case 2: 10% AEP (Usual)
The T-Wall monoliths are complete with fill in place. Flood loading to the 10 percent AEP elevation is applied. This load case will not control the design. 5.1.3.3 Load Case 3: Flood Design Elevation (100 yr. + 3’) (Unusual)
The T-Wall monoliths are complete with fill in place and an ice/debris loading of 0.5 kip/ft is applied at the water surface elevation. Flood loading to the design flood elevation plus 3 feet is applied to the structure. This load case controls the design.
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5.1.3.4 Load Case 4: Flood Design Elevation (100 yr. + 3’) + Superiority (Extreme)
The T-Wall monoliths are complete with fill in place. Flood loading to the top of the wall elevation is applied.
5.1.4 Global Stability Analysis and Results Summary
The floodwalls were analyzed as two different monoliths: a 10 foot tall monolith and a 11.5 foot tall monolith. The resulting stability factors of safety are presented in Table 5.3 and Table 5.4 respectively, and satisfy all stability criteria required in EM 1110-2-2100. The land side water elevation was assumed to be at the lowest ground elevation at Reach 2. The uplift pressure under each monolith type was determined by line of creep, in accordance with the Geotechnical engineer and the level of design required for this feasibility study.
Table 5.3: Structural Stability of Floodwall 1 (10 ft. tall)
Load Case Type Sliding FOS
% of Base in Compression
Flotation FOS
Heel Bearing Pressure (psf)
Toe Bearing Pressure (psf)
1) Construction + Surcharge Unusual 97.18 100 5.84 306.7 1314.6
2) 10% AEP Usual 229.63 100 4.01 254.8 957.1 3) Design Flood Elevation (100 yr. +3’)
Unusual 8.42 78.55 4.82 0.0 1630.1
4) Design Flood Elevation (100 yr. +3’) + Superiority
Extreme 10.71 92.58 4.99 0.0 1395.4
Table 5.4: Structural Stability of Floodwall 2 (11.5 ft. tall)
Load Case Type Sliding FOS
% of Base in Compression
Flotation FOS
Heel Bearing Pressure (psf)
Toe Bearing Pressure (psf)
1) Construction + Surcharge Unusual 17.83 100 6.22 243.8 1470.1
2) 10% AEP Usual 50.83 100 4.83 38.8 1308.0 3) Design Flood Elevation (100 yr. + 3’)
Usual 6.06 76.28 5.18 0.0 1796.1
4) Design Flood Elevation (100 yr. + 3’) + Superiority
Extreme 5.26 82.58 5.57 0.0 1687.3
5.1.5 Structural Design, Analysis and Results Summary
The design strength for the design elements of the T-Wall floodwall monoliths will are presented in Table 5.5 and Table 5.6.
Table 5.5: Design Summary of Floodwall 1 (10 ft. tall)
Design Element
Calculated Maximum Design Capacity Utilization (%) Vu (kip) Mu (kip-ft) Vn (kip) Mn (kip-ft) Shear Moment
Stem 4.48 17.18 9.75 22.0 45.95 78.09 Footing Heel 5.80 29.99 30.24 70.60 19.18 42.48 Footing Toe 1.60 2.10 30.24 70.60 5.29 2.97 Footing Key 5.41 4.05 9.75 22.00 55.49 18.41
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Table 5.6: Design Summary of Floodwall 2 (11.5 ft. tall)
Design Element
Calculated Maximum Design Capacity Utilization (%) Vu (kip) Mu (kip) Vn (kip) Mn (kip) Shear Moment
Stem 5.25 21.31 13.16 30.10 39.89 70.80 Footing Heel 8.01 42.06 37.07 86.90 21.61 48.40 Footing Toe 3.17 4.29 37.07 86.90 8.55 4.94 Footing Key 6.39 5.57 13.16 38.80 48.56 14.36
5.2 Roadway and Railroad Closures
The railroad and roadway closures are a combination of reinforced concrete floodwalls (founded on grade) and steel swing gates that will serve as flood protection barriers (Figure 5.2). The steel swing gates will be permanently placement at the openings in the floodwalls and levees (located in Main Street, River Street and the railroad), in the open position. During a flood event, the gates will be swung into the closed position, with a rod placed at the junction to lock it in place. Each monolith is designed to support the swing gates. The top elevation of the closure structures are set higher than the adjacent levee for structural superiority (refer to Section 3.3.2). Transition sections on either end of the closure structure will connect the closure section to the levee or floodwall. The gate closure section of the closure structure includes a post that will be installed during a flooding event. See Sheet S-101 in the Attachments for swing gate closure and sill dimensions.
Figure 5.2: Front view of a typical closure gate structure.
5.2.1 Closure Structure Dimensions
The roadway closure structures for Main Street and River Street connect to floodwall T-Wall 1 on the upstream and downstream side of the Trempealeau River, respectively. As both roadway closures are subjected to the same conditions as the floodwall T-Wall 1, they are designed similarly. Dimensions for the closure structures are presented in Table 5.7 and Table 5.8, as well as sheet S-101 in the Attachments to Appendix L.
Table 5.7: Closure Structure Elevations
Structure River Street Closure (10 ft. tall)
Main Street Closure (10 ft. tall)
Railroad Closure (11 ft. tall)
Top Elevation (ft.) 735.0 735.0 737.0
Bottom of Footing Elevation (ft.) 725.0 725.0 726.0
Ground Line (ft.) 730.5 730.5 731.5
Appendix L: Structural Engineering
USACE | Arcadia Feasibility Study 16
Stem Thickness, E (ft.) 1.0 1.0 1.25
Stem Height (ft.) 9.0 9.0 9.0
Footing Thickness, C (ft.) 1.0 1.0 2.0
Footing Length, D (ft.) 11.0 11.0 11.0
Key Depth, F (ft.) 1.5 1.5 1.75
Exposed Ground, A (ft.) 4.5 4.5 5.5
Table 5.8: Closure Structure Dimensions
Structure River Street Closure (10 ft. tall)
Main Street Closure (10 ft. tall)
Railroad Closure (11 ft. tall)
Closure Opening, L (ft.) 38 68 42
Total Closure Length (ft.) 94 124 98
Height, H (ft.) 4 3.25 5.5
Pier Height, P (ft.) 6 6 6
Base Width, W (ft.) 11 11 12
5.2.2 Structural Design Criteria
The flood closure gate structure are designed in accordance with the Corps of Engineer's Standards and Engineering Manuals, the Wisconsin Department of Transportation (Wisconsin DOT) Standard Specifications for Road and Bridge Construction (2002), the American Association of State Highway and Transportation Officials, Inc. (AASHTO), American Institute of Steel Construction (AISC), American Concrete Institute (ACI), American Railway Engineering and Maintenance-of-Way Association (AREMA), and American Water Works Association (AWWA).
The stress and loading criteria used will be as described in Chapter 4 of EM 1110-2-2705. The gate operating equipment, seal assemblies and embedded metals will be as described in Chapter 5 of EM 1110-2- 2705. The steel, other than the stainless steel, will be painted in accordance with EM 1110-2-3400 and the Wisconsin DOT, Standard Specification for Road and Bridge Construction. Fits and surface finishes of movable parts shall be in accordance with AASHTO - Standard Specifications for Movable Highway Bridges. Criteria for the field leakage test shall be in accordance with American Water Works Association Standards.
5.2.3 Design Loads and Load Cases
General load cases for design of the closures in the feasibility study are shown in Table 5.9. The maximum flood elevation considered applicable for the closure structures is the Top of Closure with Superiority elevation (see Table 3.3). The closure structures have structural superiority, resulting in a structures that are higher than the adjacent levee. Therefore, flood loading will not reach the top of the closures without significant overtopping of the levee; thus, this specific loading was not considered applicable.
Appendix L: Structural Engineering
USACE | Arcadia Feasibility Study 17
Table 5.9: Closure Structures Design Load Cases
Load Case Type Construction + Surcharge Unusual 10% AEP Usual Design Flood Elevation (100 yr. + 3’) Unusual Design Flood Elevation (100 yr. + 3’) + Superiority Extreme
5.2.3.1 Load Case 1: Construction + Surcharge (Unusual)
The closure structure is complete with fill and a compaction loading of 250 plf is applied. 5.2.3.2 Load Case 2: 10% AEP (Usual)
The closure structure is complete with fill in place. Flood loading to the 10 percent AEP elevation is applied. 5.2.3.3 Load Case 3: Flood Design Elevation (100 yr. + 3’) (Unusual)
The closure structure is complete with fill in place and a wind loading of 50 plf is distributed from the water surface elevation to the top of the gate. Flood loading to the design flood elevation plus 3 feet is applied to the closure structure. This load case controls the design. 5.2.3.4 Load Case 4: Flood Design Elevation (100 yr. + 3’) + Superiority (Extreme)
The closure structure is complete with fill in place. Flood loading to the top of the design flood elevation plus 3 feet and superiority is applied to the closure structure. 5.2.4 Global Stability Analysis and Results Summary
The railroad closure structure was analyzed for global stability as the critical case among the closure structures. Each closure structure was analyzed as two sections: the opening section and tie-in wall section. The resulting stability factors of safety are presented in Table 5.10 for the railroad closure and tie-in wall sections, respectively. The land side water elevation was assumed to be at the bottom of footing. Therefore, the uplift pressure tapers from the full flood hydrostatic head (on the heel side) to no hydrostatic head (on the toe side).
Table 5.10: Railroad Closure – Closure section stability analysis results
Load Case Type Sliding FOS
% of Base in Compression
Flotation FOS
Heel Bearing Pressure (psf)
Toe Bearing Pressure (psf)
1) Construction + Surcharge Unusual 30.43 100 5.04 311.5 1340.2
2) 10% AEP Usual 407.92 100 3.51 309.7 918.4 3) Design Flood Elevation (100 yr. +3’)
Unusual 6.93 80.99 4.20 0.0 1614.8
4) Design Flood Elevation (100 yr. +3’) + Superiority
Extreme 8.09 93.32 4.30 0.0 1412.3
Appendix L: Structural Engineering
USACE | Arcadia Feasibility Study 18
5.2.5 Structural Design, Analysis and Results Summary
The design strength for the design elements of the railroad closure structure monoliths is presented in Table 5.11.
Table 5.11: Railroad Closure – Closure Section Design Capacity Values
Design Element
Calculated Maximum Design Capacity Utilization (%) Vu (kip) Mu (kip) Vn (kip) Mn (kip) Shear Moment
Stem 4.31 16.30 13.16 30.10 32.75 54.15 Footing Heel 5.29 30.33 47.32 111.20 11.18 27.28 Footing Toe 2.70 3.66 47.32 111.20 5.71 3.29 Footing Key 5.88 5.12 13.16 30.10 44.68 17.01
5.3 Additional Design Details
5.3.1 Sheet Pile and Levee Connection
To provide resiliency at the connection point between the floodwall and levee, the floodwall is extended horizontally 5 feet into the levee (in the levee profile direction) and a sheet pile is extended an additional 15 feet (beyond the floodwall). The sheet pile is extended vertically to within 1’-6” of the levee crown elevation. See Sheet S-101 in the Attachments for a plan view of the sheet pile connection. 5.3.1.1 Contraction, Expansion, Construction Joints and Waterstops
Due to the length of the closure structure and the floodwall, expansion joints have been added between the wall monoliths and on the outside of the gate support piers, to accommodate thermal expansion and contraction. The monolith length will be set at approximately 60 feet. The footings and the closure sill walls do not have control joints because they are subgrade elements. Waterstops will be included in all expansion and control joints. 5.3.2 Road and Railroad Closure Decisions
Decisions made during the design of the railroad and road closure are discussed below. 5.3.2.1 Opening Width
The opening width was defined to allow the service road and the existing rails to pass through the openings. 5.3.2.2 Swing Gate: Steel Design
The steel design will be in accordance with ETL 1110-2-584 using LRFD. The swing gate will have a similar design to the swing gate presented in sheet SG-14 in the Attachments. 5.3.2.3 Closure Structure: Load Cases and Load Combinations
The design load cases and the load factors will follow ETL 1110-2-2105, Section F.4.2. The following cases will be analyzed:
Appendix L: Structural Engineering
USACE | Arcadia Feasibility Study 19
Case 1: Strength I, Gate closed (includes dead and hydrostatic to the top of gate): 1.2D
+ 1.4H Case 2: Strength I, Gate closed, Gate subject on the upper level wind pressure of up to
50 psf: 1.2D + 1.3W2 Case 3: Strength II, Gate operating, Hinged gate subjected to Dead and Wind (lower
level 15 psf), operating load is treated as a reaction: 1.2D + 1.3W1 Note that for the wind pressures, ETL 1110-2-2105 allows for use of 50 psf and 15 psf (not operating and operating) as maximum pressures in lieu of calculating the pressures according to ASCE 7. The ASCE 7 wind design information (defined previously and used for the concrete wall design) is covered by these maximums. ETL 1110-2-584 will require a minimum member thickness of 3/8” which will control the member selections. This will result in stiff girders with a large amount of reserve capacity and deflections well under l/360. 5.3.2.4 Closure Structure: Hinge Design
The hinges will be made up of short length plates that are stiffened and thus will not fail in buckling. Without buckling, yield will be the failure mechanism, and the unfactored von Mises stress will be compared to a critical von Mises stress of 0.5Fy. 5.3.2.5 Closure Structure: Fracture Critical Analysis
An analysis will be performed during Plans & Specs, to determine the closure structure’s Fracture Critical Members (FCMs). All welds will be welded per AWS 1.5, utilizing a Fracture Control Plan. Non-Destructive Examination (NDE) by a Certified Weld Inspector (CWI) will be specified in accordance with ER 1110-2- 8157 and AWS 1.5. Documentation of the final accepted CWI report will be provided to the Sponsor. Welds on the hinges will also receive NDE due to lack of redundancy. While the flood load is transferred through bearing into the pilasters, the failure of the hinges would lead to a non-functioning structure and failure during operation is a safety concern. 5.3.2.6 Foundation Design
Foundation final design will be in accordance with the available soil borings and recommendations by the COE. The foundation design will be performed during Plans and Specifications based on Load Combinations derived from EM 1110-2-2104, Table E-2 for Inland Floodwalls. All applicable load cases will be considered in the design of the footings. 5.3.3 Miscellaneous Metals (grating, guard rail and handrail)
Designs for guard rail and handrail, if needed, will be developed during Plans & Specifications and will be based on standardize Wisconsin DOT designs.
Appendix L: Structural Engineering
USACE | Arcadia Feasibility Study 20
5.3.4 Miscellaneous Drainage Features
RCP Pipes, if needed, will be developed during Plans & Specifications and will be designed according to EM 1110 2 2902 and ACPA Concrete Pipe Handbook guidelines.
5.3.5 Corrosion Control
To help resist corrosion, the metals will be hot dip galvanized after fabrication or painted per city requirement. 6 Structural Calculations The following information is included in Attachment 1 to this appendix:
Floodwall Structure Stability and Design (CTWALL-R output) Typical Closure Structure Stability and Design (CTWALL-R output) Typical Concrete Design of T-Wall sections Drawings
Appendix L: Structural Engineering
USACE | Arcadia Feasibility Study 21
Attachments
Floodwall1_10_Usual.out.txt
****************** Echoprint of Input Data ******************
Date: 2019/ 9/30 Time: 17.00.50
Arcadia Floodwall, Height 10 ft, No Sheetpile Usual Case, Cracked, Water 10% AEP Check Design
Company name: USACE Project name: Arcadia Feasibility Study Project location: Arcadia, Wisconsin Wall location: Floodwall, Height 10 ft. Computed by: CNO
Structural geometry data: Elevation of top of stem (ELTS) = 735.00 ft Height of stem (HTS) = 9.00 ft Thickness top of stem (TTS) = 1.00 ft Thickness bottom of stem (TBS) = 1.00 ft Dist. of batter at bot. of stem (TBSR)= 0.00 ft Depth of heel (THEEL) = 2.50 ft Distance of batter for heel (BTRH) = 0.00 ft Depth of toe (TTOE) = 1.00 ft Width of toe (TWIDTH) = 2.50 ft Distance of batter for toe (BTRT) = 0.00 ft Width of base (BWIDTH) = 11.00 ft Depth of key (HK) = 1.50 ft Width of bottom of key (TK) = 1.25 ft Dist. of batter at bot. of key (BTRK) = 0.00 ft
Structure coordinates:
x (ft) y (ft) ==================
0.00 723.500.00 726.007.50 726.007.50 735.008.50 735.008.50 726.00
Page 1
Floodwall1_10_Usual.out.txt 11.00 726.00 11.00 725.00 1.25 725.00 1.25 723.50
NOTE: X=0 is located at the left‐hand side of the structure. The Y values correspond to the actual elevation used.
Structural property data: Unit weight of concrete = 0.150 kcf
Driving side soil property data:
Moist Saturated Elev. Phi c Unit wt. unit wt. Delta soil (deg) (ksf) (kcf) (kcf) (deg) (ft) ======================================================= 32.00 0.000 0.123 0.125 0.00 730.50
Driving side soil geometry:
Soil Batter Distance point (in:1ft) (ft) ============================= 1 0.00 0.00 2 0.00 0.00 3 0.00 500.00
Driving side soil profile:
Soil x y point (ft) (ft) ============================= 1 ‐992.50 730.50 2 7.50 730.50
Resisting side soil property data:
Moist Saturated Elev. Phi c Unit wt. unit wt. soil Batter (deg) (ksf) (kcf) (kcf) (ft) (in:1ft) ======================================================== 32.00 0.000 0.123 0.125 730.50 0.00
Resisting side soil profile:
Soil x y
Page 2
Floodwall1_10_Usual.out.txt point (ft) (ft) ============================= 1 8.50 730.50 2 508.50 730.50
Foundation property data: phi for soil‐structure interface = 32.00 (deg) c for soil‐structure interface = 0.000 (ksf) phi for soil‐soil interface = 32.00 (deg) c for soil‐soil interface = 0.000 (ksf)
Water data: Driving side elevation = 731.50 ft Resisting side elevation = 726.00 ft Unit weight of water = 0.0624 kcf Seepage pressures computed by Line of Creep method.
Minimum required factors of safety: Sliding FS = 2.00 Overturning = 100.00% base in compression
Crack options: o Crack *is* down to bottom of heel o Computed cracks *will* be filled with water
All computed failure angles are based on 45+‐(phi developed)/2 Note: Any wedge angles that are 'set' are not affected by this option.
Strength mobilization factor = 0.6667
Resisting side pressures *are not* used in the overturning analysis.
Forces on the resisting side *are used* in the sliding analysis.
*Do* iterate in overturning analysis.
***** Summary of Results *****
Arcadia Floodwall, Height 10 ft, No Sheetpile
Project name: Arcadia Feasibility Study
*************** *** Satisfied *** * Overturning * Required base in comp. = 100.00 % *************** Actual base in comp. = 100.00 %
Page 3
Floodwall1_10_Usual.out.txt Overturning ratio = 2.44
Xr (measured from toe) = 4.44 ft Resultant ratio = 0.4034 Stem ratio = 0.2273 Base pressure at heel = 0.2548 ksf Base pressure at toe = 0.9571 ksf
*********** *** Satisfied *** * Sliding * Min. Required = 2.00 *********** Actual FS = 229.63
*********** * Bearing * ***********
Net ultimate bearing pressure = 16.8054 (ksf) Factor of safety = 22.236
********************** Output Results **********************
Date: 2019/ 9/30 Time: 17.00.50
Arcadia Floodwall, Height 10 ft, No Sheetpile Usual Case, Cracked, Water 10% AEP Check Design
Company name: USACE Project name: Arcadia Feasibility Study Project location: Arcadia, Wisconsin Wall location: Floodwall, Height 10 ft. Computed by: CNO
*************************** ** Overturning Results ** ***************************
Solution converged in 1 iterations.
SMF used to calculate K's = 0.6667 Alpha for the SMF = 0.0000
Page 4
Floodwall1_10_Usual.out.txt Calculated earth pressure coefficients: Driving side at rest K = 0.0000 Driving side at rest Kc = 0.0000 Resisting side at rest K = 0.0000 Resisting side at rest Kc = 0.0000 No passive pressures used for resisting side.
Depth of cracking = 7.00 ft Crack extends to bottom of base of structure.
** Driving side pressures **
Water pressures: Elevation Pressure (ft) (ksf) ====================== 731.50 0.0000 723.50 0.4992
** Resisting side pressures **
Water pressures: Elevation Pressure (ft) (ksf) ====================== 726.00 0.0000 725.00 0.0908 725.00 0.4677 723.50 0.4992
Balancing earth pressures: Elevation Pressure (ft) (ksf) ====================== 725.00 0.8175 723.50 0.8175
** Uplift pressures **
Water pressures: x‐coord. Pressure (ft) (ksf) ====================== 0.00 0.4992 1.25 0.4677 1.25 0.3363 11.00 0.0908
Page 5
Floodwall1_10_Usual.out.txt ** Forces and moments **
======================================================================== Part | Force (kips) | Mom. Arm | Moment | | Vert. | Horiz.| (ft) | (ft‐k) | ======================================================================== Structure: Structure weight........... 3.281 ‐4.89 ‐16.04 Structure, driving side: Moist soil................. 0.000 0.00 0.00 Saturated soil............. 4.219 ‐7.25 ‐30.59 Water above structure...... 0.000 0.00 0.00 Water above soil........... 0.468 ‐7.25 ‐3.39 External vertical loads.... 0.000 0.00 0.00 Ext. horz. pressure loads.. 0.000 0.00 0.00 Ext. horz. line loads...... 0.000 0.00 0.00 Structure, resisting side: Moist soil................. 1.384 ‐1.25 ‐1.73 Saturated soil............. 0.000 0.00 0.00 Water above structure...... 0.000 0.00 0.00 Water above soil........... 0.000 0.00 0.00 Driving side: Effective earth loads...... 0.000 0.00 0.00 Shear (due to delta)....... 0.000 0.00 0.00 Horiz. surcharge effects... 0.000 0.00 0.00 Water loads................ 1.997 1.17 2.33 Resisting side: Effective earth loads...... 0.000 0.00 0.00 Balancing earth load....... ‐1.226 ‐0.77 0.94 Water loads................ ‐0.771 ‐0.69 0.53 Foundation: Vertical force on base..... ‐6.665 ‐4.44 29.58 Uplift..................... ‐2.686 ‐6.84 18.37 ======================================================================== ** Statics Check ** SUMS = 0.000 0.000 0.00
Angle of base = 7.77 degrees Normal force on base = 6.770 kips Shear force on base = 0.314 kips Max. available shear force = 4.724 kips
Base pressure at heel = 0.2548 ksf Base pressure at toe = 0.9571 ksf
Xr (measured from toe) = 4.44 ft Resultant ratio = 0.4034 Stem ratio = 0.2273 Base in compression = 100.00 %
Page 6
Floodwall1_10_Usual.out.txt Overturning ratio = 2.44
Volume of concrete = 0.81 cubic yds/ft of wall
NOTE: The engineer shall verify that the computed bearing pressures below the wall do not exceed the allowable foundation bearing pressure, or, perform a bearing capacity analysis using the program CBEAR. Also, the engineer shall verify that the base pressures do not result in excessive differential settlement of the wall foundation.
*********************** ** Sliding Results ** ***********************
Factor of safety > 100. Last iteration printed.
Horizontal Vertical Wedge Loads Loads Number (kips) (kips) ================================== 1 0.000 0.000 2 1.997 0.468 3 0.000 0.000
Water pressures on wedges:
Top Bottom Wedge press. press. x‐coord. press. number (ksf) (ksf) (ft) (ksf) ================================================ 1 0.0000 0.0000 2 0.0000 0.4992 2 11.0000 0.0908 3 0.0000 0.0908
Points of sliding plane: Point 1 (left), x = 0.00 ft, y = 723.50 ft Point 2 (right), x = 11.00 ft, y = 725.00 ft
Depth of cracking = 7.00 ft Crack extends to bottom of base of structure.
Failure Total Weight Submerged Uplift
Page 7
Floodwall1_10_Usual.out.txt Wedge angle length of wedge length force number (deg) (ft) (kips) (ft) (kips) ======================================================== 1 0.000 0.000 0.000 0.000 0.000 2 7.765 11.102 9.681 11.102 3.275 3 44.922 7.789 1.866 1.416 0.064
Wedge Net force number (kips) =================== 1 0.000 2 ‐0.594 3 1.871 =================== SUM = 1.278
+‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+ | Factor of safety = 229.627 | +‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+
*********************** ** Bearing Results ** ***********************
Base width = 11.102 (ft) Xr = 4.438 (ft) Effective base width = 8.957 (ft) (measured along slope) Base slope = 7.7652 (deg)
phi = 32.000 (deg) c = 0.000 (ksf) Effective gamma = 0.0626 (kcf)
Normal load = 6.770 (kips) Load inclination = 2.659 (deg) Load eccentricity = 1.072 (ft)
Surcharge = 0.6161 (ksf) Embedment = 5.500 (ft) Ground slope = 0.0000 (deg)
Bearing Capacity Factors =============================================
Page 8
Floodwall1_10_Usual.out.txt C Q G ============================================= Bearing 35.4903 23.1768 22.0225 Embedment 1.2215 1.1108 1.1108 Inclination 0.9418 0.9418 0.8407 Base Tilt 0.8305 0.8378 0.8378 Ground Slope 1.0000 1.0000 1.0000
Net ultimate bearing pressure = 16.8054 (ksf)
+‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+ | Factor of safety = 22.236 | +‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+
Page 9
Floodwall1_10_Unusual_Construction.out.txt
****************** Echoprint of Input Data ******************
Date: 2019/ 9/30 Time: 16.58.49
Arcadia Floodwall, Height 10 ft, No Sheetpile Unusual Case Construction, Cracked Check Design
Company name: USACE Project name: Arcadia Feasibility Study Project location: Arcadia, Wisconsin Wall location: Floodwall, Height 10 ft. Computed by: CNO
Structural geometry data: Elevation of top of stem (ELTS) = 735.00 ft Height of stem (HTS) = 9.00 ft Thickness top of stem (TTS) = 1.00 ft Thickness bottom of stem (TBS) = 1.00 ft Dist. of batter at bot. of stem (TBSR)= 0.00 ft Depth of heel (THEEL) = 2.50 ft Distance of batter for heel (BTRH) = 0.00 ft Depth of toe (TTOE) = 1.00 ft Width of toe (TWIDTH) = 2.50 ft Distance of batter for toe (BTRT) = 0.00 ft Width of base (BWIDTH) = 11.00 ft Depth of key (HK) = 1.50 ft Width of bottom of key (TK) = 1.25 ft Dist. of batter at bot. of key (BTRK) = 0.00 ft
Structure coordinates:
x (ft) y (ft) ================== 0.00 723.50 0.00 726.00 7.50 726.00 7.50 735.00 8.50 735.00 8.50 726.00
Page 1
Floodwall1_10_Unusual_Construction.out.txt 11.00 726.00 11.00 725.00 1.25 725.00 1.25 723.50
NOTE: X=0 is located at the left‐hand side of the structure. The Y values correspond to the actual elevation used.
Structural property data: Unit weight of concrete = 0.150 kcf
Driving side soil property data:
Moist Saturated Elev. Phi c Unit wt. unit wt. Delta soil (deg) (ksf) (kcf) (kcf) (deg) (ft) ======================================================= 32.00 0.000 0.123 0.125 0.00 730.50
Driving side soil geometry:
Soil Batter Distance point (in:1ft) (ft) ============================= 1 0.00 0.00 2 0.00 0.00 3 0.00 500.00
Driving side soil profile:
Soil x y point (ft) (ft) ============================= 1 ‐992.50 730.50 2 7.50 730.50
Resisting side soil property data:
Moist Saturated Elev. Phi c Unit wt. unit wt. soil Batter (deg) (ksf) (kcf) (kcf) (ft) (in:1ft) ======================================================== 32.00 0.000 0.123 0.125 730.50 0.00
Resisting side soil profile:
Soil x y
Page 2
Floodwall1_10_Unusual_Construction.out.txt point (ft) (ft) ============================= 1 8.50 730.50 2 508.50 730.50
Foundation property data: phi for soil‐structure interface = 32.00 (deg) c for soil‐structure interface = 0.000 (ksf) phi for soil‐soil interface = 32.00 (deg) c for soil‐soil interface = 0.000 (ksf)
Water data: Driving side elevation = 734.50 ft Resisting side elevation = 726.00 ft Unit weight of water = 0.0624 kcf Seepage pressures computed by Line of Creep method.
Uniform load data: Magnitude of load = 0.2500 k/ft
Minimum required factors of safety: Sliding FS = 1.50 Overturning = 75.00% base in compression
Crack options: o Crack *is* down to bottom of heel o Computed cracks *will* be filled with water
All computed failure angles are based on 45+‐(phi developed)/2 Note: Any wedge angles that are 'set' are not affected by this option.
Strength mobilization factor = 0.6667
Resisting side pressures *are not* used in the overturning analysis.
Forces on the resisting side *are used* in the sliding analysis.
*Do* iterate in overturning analysis.
***** Summary of Results *****
Arcadia Floodwall, Height 10 ft, No Sheetpile
Project name: Arcadia Feasibility Study
Page 3
Floodwall1_10_Unusual_Construction.out.txt *************** *** Satisfied *** * Overturning * Required base in comp. = 75.00 % *************** Actual base in comp. = 100.00 % Overturning ratio = 2.18
Xr (measured from toe) = 4.36 ft Resultant ratio = 0.3964 Stem ratio = 0.2273 Base pressure at heel = 0.3067 ksf Base pressure at toe = 1.3146 ksf
*********** *** Satisfied *** * Sliding * Min. Required = 1.50 *********** Actual FS = 97.18
*********** * Bearing * ***********
Net ultimate bearing pressure = 13.1119 (ksf) Factor of safety = 12.538
********************** Output Results **********************
Date: 2019/ 9/30 Time: 16.58.49
Arcadia Floodwall, Height 10 ft, No Sheetpile Unusual Case Construction, Cracked Check Design
Company name: USACE Project name: Arcadia Feasibility Study Project location: Arcadia, Wisconsin Wall location: Floodwall, Height 10 ft. Computed by: CNO
*************************** ** Overturning Results ** ***************************
Solution converged in 1 iterations.
Page 4
Floodwall1_10_Unusual_Construction.out.txt
SMF used to calculate K's = 0.6667 Alpha for the SMF = 0.0000 Calculated earth pressure coefficients: Driving side at rest K = 0.0000 Driving side at rest Kc = 0.0000 Resisting side at rest K = 0.0000 Resisting side at rest Kc = 0.0000 No passive pressures used for resisting side.
Depth of cracking = 7.00 ft Crack extends to bottom of base of structure.
** Driving side pressures **
Water pressures: Elevation Pressure (ft) (ksf) ====================== 734.50 0.0000 723.50 0.6864
Surcharge pressures: Elev. Press. (ft) (ksf) ===================
** Resisting side pressures **
Water pressures: Elevation Pressure (ft) (ksf) ====================== 726.00 0.0000 725.00 0.1062 725.00 0.6377 723.50 0.6864
Balancing earth pressures: Elevation Pressure (ft) (ksf) ====================== 725.00 1.8193 723.50 1.8193
** Uplift pressures **
Water pressures:
Page 5
Floodwall1_10_Unusual_Construction.out.txt x‐coord. Pressure (ft) (ksf) ====================== 0.00 0.6864 1.25 0.6377 1.25 0.4858 11.00 0.1062
** Forces and moments **
======================================================================== Part | Force (kips) | Mom. Arm | Moment | | Vert. | Horiz.| (ft) | (ft‐k) | ======================================================================== Structure: Structure weight........... 3.281 ‐4.89 ‐16.04 Structure, driving side: Moist soil................. 0.000 0.00 0.00 Saturated soil............. 4.219 ‐7.25 ‐30.59 Water above structure...... 0.000 0.00 0.00 Water above soil........... 1.872 ‐7.25 ‐13.57 External vertical loads.... 1.875 ‐7.25 ‐13.59 Ext. horz. pressure loads.. 0.000 0.00 0.00 Ext. horz. line loads...... 0.000 0.00 0.00 Structure, resisting side: Moist soil................. 1.384 ‐1.25 ‐1.73 Saturated soil............. 0.000 0.00 0.00 Water above structure...... 0.000 0.00 0.00 Water above soil........... 0.000 0.00 0.00 Driving side: Effective earth loads...... 0.000 0.00 0.00 Shear (due to delta)....... 0.000 0.00 0.00 Horiz. surcharge effects... 0.000 0.00 0.00 Water loads................ 3.775 2.16 8.16 Resisting side: Effective earth loads...... 0.000 0.00 0.00 Balancing earth load....... ‐2.729 ‐0.75 2.06 Water loads................ ‐1.046 ‐0.72 0.75 Foundation: Vertical force on base..... ‐8.917 ‐4.36 38.88 Uplift..................... ‐3.714 ‐6.91 25.67 ======================================================================== ** Statics Check ** SUMS = 0.000 0.000 0.00
Angle of base = 7.77 degrees Normal force on base = 9.204 kips Shear force on base = 1.499 kips Max. available shear force = 6.245 kips
Page 6
Floodwall1_10_Unusual_Construction.out.txt
Base pressure at heel = 0.3067 ksf Base pressure at toe = 1.3146 ksf
Xr (measured from toe) = 4.36 ft Resultant ratio = 0.3964 Stem ratio = 0.2273 Base in compression = 100.00 % Overturning ratio = 2.18
Volume of concrete = 0.81 cubic yds/ft of wall
NOTE: The engineer shall verify that the computed bearing pressures below the wall do not exceed the allowable foundation bearing pressure, or, perform a bearing capacity analysis using the program CBEAR. Also, the engineer shall verify that the base pressures do not result in excessive differential settlement of the wall foundation.
*********************** ** Sliding Results ** ***********************
Solution converged. Summation of forces = 0.
Horizontal Vertical Wedge Loads Loads Number (kips) (kips) ================================== 1 0.000 0.000 2 3.775 3.747 3 0.000 0.000
Water pressures on wedges:
Top Bottom Wedge press. press. x‐coord. press. number (ksf) (ksf) (ft) (ksf) ================================================ 1 0.0000 0.0000 2 0.0000 0.6864 2 11.0000 0.1062 3 0.0000 0.1062
Page 7
Floodwall1_10_Unusual_Construction.out.txt Points of sliding plane: Point 1 (left), x = 0.00 ft, y = 723.50 ft Point 2 (right), x = 11.00 ft, y = 725.00 ft
Depth of cracking = 7.00 ft Crack extends to bottom of base of structure.
Failure Total Weight Submerged Uplift Wedge angle length of wedge length force number (deg) (ft) (kips) (ft) (kips) ======================================================== 1 0.000 0.000 0.000 0.000 0.000 2 7.765 11.102 9.681 11.102 4.400 3 44.816 7.803 1.873 1.419 0.075
Wedge Net force number (kips) =================== 1 0.000 2 ‐1.885 3 1.885 =================== SUM = 0.000
+‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+ | Factor of safety = 97.184 | +‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+
*********************** ** Bearing Results ** ***********************
Base width = 11.102 (ft) Xr = 4.360 (ft) Effective base width = 8.801 (ft) (measured along slope) Base slope = 7.7652 (deg)
phi = 32.000 (deg) c = 0.000 (ksf) Effective gamma = 0.0626 (kcf)
Normal load = 9.204 (kips) Load inclination = 9.251 (deg) Load eccentricity = 1.150 (ft)
Page 8
Floodwall1_10_Unusual_Construction.out.txt
Surcharge = 0.6161 (ksf) Embedment = 5.500 (ft) Ground slope = 0.0000 (deg)
Bearing Capacity Factors ============================================= C Q G ============================================= Bearing 35.4903 23.1768 22.0225 Embedment 1.2255 1.1127 1.1127 Inclination 0.8050 0.8050 0.5054 Base Tilt 0.8305 0.8378 0.8378 Ground Slope 1.0000 1.0000 1.0000
Net ultimate bearing pressure = 13.1119 (ksf)
+‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+ | Factor of safety = 12.538 | +‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+
Page 9
Floodwall1_10_Unusual.out.txt
****************** Echoprint of Input Data ******************
Date: 2019/ 9/30 Time: 16.53.59
Arcadia Floodwall, Height 10 ft, No Sheetpile Unusual Case, Cracked, Water Design Flood EL Check Design
Company name: USACE Project name: Arcadia Feasibility Study Project location: Arcadia, Wisconsin Wall location: Floodwall, Height 10 ft Computed by: CNO
Structural geometry data: Elevation of top of stem (ELTS) = 735.00 ft Height of stem (HTS) = 9.00 ft Thickness top of stem (TTS) = 1.00 ft Thickness bottom of stem (TBS) = 1.00 ft Dist. of batter at bot. of stem (TBSR)= 0.00 ft Depth of heel (THEEL) = 2.50 ft Distance of batter for heel (BTRH) = 0.00 ft Depth of toe (TTOE) = 1.00 ft Width of toe (TWIDTH) = 2.50 ft Distance of batter for toe (BTRT) = 0.00 ft Width of base (BWIDTH) = 11.00 ft Depth of key (HK) = 1.50 ft Width of bottom of key (TK) = 1.25 ft Dist. of batter at bot. of key (BTRK) = 0.00 ft
Structure coordinates:
x (ft) y (ft) ================== 0.00 723.50 0.00 726.00 7.50 726.00 7.50 735.00 8.50 735.00 8.50 726.00
Page 1
Floodwall1_10_Unusual.out.txt 11.00 726.00 11.00 725.00 1.25 725.00 1.25 723.50
NOTE: X=0 is located at the left‐hand side of the structure. The Y values correspond to the actual elevation used.
Structural property data: Unit weight of concrete = 0.150 kcf
Driving side soil property data:
Moist Saturated Elev. Phi c Unit wt. unit wt. Delta soil (deg) (ksf) (kcf) (kcf) (deg) (ft) ======================================================= 32.00 0.000 0.123 0.125 0.00 730.50
Driving side soil geometry:
Soil Batter Distance point (in:1ft) (ft) ============================= 1 0.00 0.00 2 0.00 0.00 3 0.00 500.00
Driving side soil profile:
Soil x y point (ft) (ft) ============================= 1 ‐992.50 730.50 2 7.50 730.50
Resisting side soil property data:
Moist Saturated Elev. Phi c Unit wt. unit wt. soil Batter (deg) (ksf) (kcf) (kcf) (ft) (in:1ft) ======================================================== 32.00 0.000 0.123 0.125 730.50 0.00
Resisting side soil profile:
Soil x y
Page 2
Floodwall1_10_Unusual.out.txt point (ft) (ft) ============================= 1 8.50 730.50 2 508.50 730.50
Foundation property data: phi for soil‐structure interface = 32.00 (deg) c for soil‐structure interface = 0.000 (ksf) phi for soil‐soil interface = 32.00 (deg) c for soil‐soil interface = 0.000 (ksf)
Water data: Driving side elevation = 734.50 ft Resisting side elevation = 726.00 ft Unit weight of water = 0.0624 kcf Seepage pressures computed by Line of Creep method.
Horizontal line load data:
Elevation Force (ft) (kips) ======================== 734.50 0.50
Minimum required factors of safety: Sliding FS = 1.50 Overturning = 75.00% base in compression
Crack options: o Crack *is* down to bottom of heel o Computed cracks *will* be filled with water
All computed failure angles are based on 45+‐(phi developed)/2 Note: Any wedge angles that are 'set' are not affected by this option.
Strength mobilization factor = 0.6667
Resisting side pressures *are not* used in the overturning analysis.
Forces on the resisting side *are used* in the sliding analysis.
*Do* iterate in overturning analysis.
***** Summary of Results *****
Page 3
Floodwall1_10_Unusual.out.txt Arcadia Floodwall, Height 10 ft, No Sheetpile
Project name: Arcadia Feasibility Study
*************** *** Satisfied *** * Overturning * Required base in comp. = 75.00 % *************** Actual base in comp. = 78.55 % Overturning ratio = 1.57
Xr (measured from toe) = 2.88 ft Resultant ratio = 0.2618 Stem ratio = 0.2273 Base pressure at x= 8.64 ft from toe = 0.0000 ksf Base pressure at toe = 1.6301 ksf
*********** *** Satisfied *** * Sliding * Min. Required = 1.50 *********** Actual FS = 8.42
*********** * Bearing * ***********
Net ultimate bearing pressure = 9.7274 (ksf) Factor of safety = 7.628
********************** Output Results **********************
Date: 2019/ 9/30 Time: 16.53.59
Arcadia Floodwall, Height 10 ft, No Sheetpile Unusual Case, Cracked, Water Design Flood EL Check Design
Company name: USACE Project name: Arcadia Feasibility Study Project location: Arcadia, Wisconsin Wall location: Floodwall, Height 10 ft Computed by: CNO
***************************
Page 4
Floodwall1_10_Unusual.out.txt ** Overturning Results ** ***************************
Solution converged in 1 iterations.
SMF used to calculate K's = 0.6667 Alpha for the SMF = 0.0000 Calculated earth pressure coefficients: Driving side at rest K = 0.0000 Driving side at rest Kc = 0.0000 Resisting side at rest K = 0.0000 Resisting side at rest Kc = 0.0000 No passive pressures used for resisting side.
Depth of cracking = 7.00 ft Crack extends to bottom of base of structure.
** Driving side pressures **
Water pressures: Elevation Pressure (ft) (ksf) ====================== 734.50 0.0000 723.50 0.6864
** Resisting side pressures **
Water pressures: Elevation Pressure (ft) (ksf) ====================== 726.00 0.0000 725.00 0.1062 725.00 0.6377 723.50 0.6864
Balancing earth pressures: Elevation Pressure (ft) (ksf) ====================== 725.00 2.1526 723.50 2.1526
** Uplift pressures **
Water pressures: x‐coord. Pressure
Page 5
Floodwall1_10_Unusual.out.txt (ft) (ksf) ====================== 0.00 0.6864 1.25 0.6377 1.25 0.4858 11.00 0.1062
** Forces and moments **
======================================================================== Part | Force (kips) | Mom. Arm | Moment | | Vert. | Horiz.| (ft) | (ft‐k) | ======================================================================== Structure: Structure weight........... 3.281 ‐4.89 ‐16.04 Structure, driving side: Moist soil................. 0.000 0.00 0.00 Saturated soil............. 4.219 ‐7.25 ‐30.59 Water above structure...... 0.000 0.00 0.00 Water above soil........... 1.872 ‐7.25 ‐13.57 External vertical loads.... 0.000 0.00 0.00 Ext. horz. pressure loads.. 0.000 0.00 0.00 Ext. horz. line loads...... 0.500 9.50 4.75 Structure, resisting side: Moist soil................. 1.384 ‐1.25 ‐1.73 Saturated soil............. 0.000 0.00 0.00 Water above structure...... 0.000 0.00 0.00 Water above soil........... 0.000 0.00 0.00 Driving side: Effective earth loads...... 0.000 0.00 0.00 Shear (due to delta)....... 0.000 0.00 0.00 Horiz. surcharge effects... 0.000 0.00 0.00 Water loads................ 3.775 2.16 8.16 Resisting side: Effective earth loads...... 0.000 0.00 0.00 Balancing earth load....... ‐3.229 ‐0.72 2.31 Water loads................ ‐1.046 ‐0.72 0.75 Foundation: Vertical force on base..... ‐7.042 ‐2.88 20.28 Uplift..................... ‐3.714 ‐6.91 25.67 ======================================================================== ** Statics Check ** SUMS = 0.000 0.000 0.00
Angle of base = 7.77 degrees Normal force on base = 7.414 kips Shear force on base = 2.248 kips Max. available shear force = 5.126 kips
Page 6
Floodwall1_10_Unusual.out.txt Base pressure at x= 8.64 ft from toe = 0.0000 ksf Base pressure at toe = 1.6301 ksf
Xr (measured from toe) = 2.88 ft Resultant ratio = 0.2618 Stem ratio = 0.2273 Base in compression = 78.55 % Overturning ratio = 1.57
Volume of concrete = 0.81 cubic yds/ft of wall
NOTE: The engineer shall verify that the computed bearing pressures below the wall do not exceed the allowable foundation bearing pressure, or, perform a bearing capacity analysis using the program CBEAR. Also, the engineer shall verify that the base pressures do not result in excessive differential settlement of the wall foundation.
*********************** ** Sliding Results ** ***********************
Solution converged. Summation of forces = 0.
Horizontal Vertical Wedge Loads Loads Number (kips) (kips) ================================== 1 0.000 0.000 2 4.275 1.872 3 0.000 0.000
Water pressures on wedges:
Top Bottom Wedge press. press. x‐coord. press. number (ksf) (ksf) (ft) (ksf) ================================================ 1 0.0000 0.0000 2 0.0000 0.6864 2 11.0000 0.1062 3 0.0000 0.1062
Points of sliding plane:
Page 7
Floodwall1_10_Unusual.out.txt Point 1 (left), x = 0.00 ft, y = 723.50 ft Point 2 (right), x = 11.00 ft, y = 725.00 ft
Depth of cracking = 7.00 ft Crack extends to bottom of base of structure.
Failure Total Weight Submerged Uplift Wedge angle length of wedge length force number (deg) (ft) (kips) (ft) (kips) ======================================================== 1 0.000 0.000 0.000 0.000 0.000 2 7.765 11.102 9.681 11.102 4.400 3 42.877 8.083 2.005 1.470 0.078
Wedge Net force number (kips) =================== 1 0.000 2 ‐2.150 3 2.151 =================== SUM = 0.000
+‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+ | Factor of safety = 8.415 | +‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+
*********************** ** Bearing Results ** ***********************
Base width = 11.102 (ft) Xr = 2.880 (ft) Effective base width = 5.813 (ft) (measured along slope) Base slope = 7.7652 (deg)
phi = 32.000 (deg) c = 0.000 (ksf) Effective gamma = 0.0626 (kcf)
Normal load = 7.414 (kips) Load inclination = 16.867 (deg) Load eccentricity = 2.644 (ft)
Page 8
Floodwall1_10_Unusual.out.txt Surcharge = 0.6161 (ksf) Embedment = 5.500 (ft) Ground slope = 0.0000 (deg)
Bearing Capacity Factors ============================================= C Q G ============================================= Bearing 35.4903 23.1768 22.0225 Embedment 1.3414 1.1707 1.1707 Inclination 0.6603 0.6603 0.2236 Base Tilt 0.8305 0.8378 0.8378 Ground Slope 1.0000 1.0000 1.0000
Net ultimate bearing pressure = 9.7274 (ksf)
+‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+ | Factor of safety = 7.628 | +‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+
Page 9
Floodwall1_10_Extreme.out.txt
****************** Echoprint of Input Data ******************
Date: 2019/ 9/30 Time: 16.56.38
Arcadia Floodwall, Height 10 ft, No Sheetpile Extreme Case, Cracked, Water Top of Wall w Superiority Check Design
Company name: USACE Project name: Arcadia Feasibility Study Project location: Arcadia, Wisconsin Wall location: Floodwall, Height 10 ft. Computed by: CNO
Structural geometry data: Elevation of top of stem (ELTS) = 735.00 ft Height of stem (HTS) = 9.00 ft Thickness top of stem (TTS) = 1.00 ft Thickness bottom of stem (TBS) = 1.00 ft Dist. of batter at bot. of stem (TBSR)= 0.00 ft Depth of heel (THEEL) = 2.50 ft Distance of batter for heel (BTRH) = 0.00 ft Depth of toe (TTOE) = 1.00 ft Width of toe (TWIDTH) = 2.50 ft Distance of batter for toe (BTRT) = 0.00 ft Width of base (BWIDTH) = 11.00 ft Depth of key (HK) = 1.50 ft Width of bottom of key (TK) = 1.25 ft Dist. of batter at bot. of key (BTRK) = 0.00 ft
Structure coordinates:
x (ft) y (ft) ================== 0.00 723.50 0.00 726.00 7.50 726.00 7.50 735.00 8.50 735.00 8.50 726.00
Page 1
Floodwall1_10_Extreme.out.txt 11.00 726.00 11.00 725.00 1.25 725.00 1.25 723.50
NOTE: X=0 is located at the left‐hand side of the structure. The Y values correspond to the actual elevation used.
Structural property data: Unit weight of concrete = 0.150 kcf
Driving side soil property data:
Moist Saturated Elev. Phi c Unit wt. unit wt. Delta soil (deg) (ksf) (kcf) (kcf) (deg) (ft) ======================================================= 32.00 0.000 0.123 0.125 0.00 730.50
Driving side soil geometry:
Soil Batter Distance point (in:1ft) (ft) ============================= 1 0.00 0.00 2 0.00 0.00 3 0.00 500.00
Driving side soil profile:
Soil x y point (ft) (ft) ============================= 1 ‐992.50 730.50 2 7.50 730.50
Resisting side soil property data:
Moist Saturated Elev. Phi c Unit wt. unit wt. soil Batter (deg) (ksf) (kcf) (kcf) (ft) (in:1ft) ======================================================== 32.00 0.000 0.123 0.125 730.50 0.00
Resisting side soil profile:
Soil x y
Page 2
Floodwall1_10_Extreme.out.txt point (ft) (ft) ============================= 1 8.50 730.50 2 508.50 730.50
Foundation property data: phi for soil‐structure interface = 32.00 (deg) c for soil‐structure interface = 0.000 (ksf) phi for soil‐soil interface = 32.00 (deg) c for soil‐soil interface = 0.000 (ksf)
Water data: Driving side elevation = 735.00 ft Resisting side elevation = 726.00 ft Unit weight of water = 0.0624 kcf Seepage pressures computed by Line of Creep method.
Minimum required factors of safety: Sliding FS = 1.10 Overturning = 0.00% base in compression
Crack options: o Crack *is* down to bottom of heel o Computed cracks *will* be filled with water
All computed failure angles are based on 45+‐(phi developed)/2 Note: Any wedge angles that are 'set' are not affected by this option.
Strength mobilization factor = 0.6667
Resisting side pressures *are not* used in the overturning analysis.
Forces on the resisting side *are used* in the sliding analysis.
*Do* iterate in overturning analysis.
***** Summary of Results *****
Arcadia Floodwall, Height 10 ft, No Sheetpile
Project name: Arcadia Feasibility Study
*************** *** Satisfied *** * Overturning * Required base in comp. = 0.00 % *************** Actual base in comp. = 92.58 %
Page 3
Floodwall1_10_Extreme.out.txt Overturning ratio = 1.71
Xr (measured from toe) = 3.39 ft Resultant ratio = 0.3086 Stem ratio = 0.2273 Base pressure at x= 10.18 ft from toe = 0.0000 ksf Base pressure at toe = 1.3954 ksf
*********** *** Satisfied *** * Sliding * Min. Required = 1.10 *********** Actual FS = 10.71
*********** * Bearing * ***********
Net ultimate bearing pressure = 10.2387 (ksf) Factor of safety = 9.417
********************** Output Results **********************
Date: 2019/ 9/30 Time: 16.56.38
Arcadia Floodwall, Height 10 ft, No Sheetpile Extreme Case, Cracked, Water Top of Wall w Superiority Check Design
Company name: USACE Project name: Arcadia Feasibility Study Project location: Arcadia, Wisconsin Wall location: Floodwall, Height 10 ft. Computed by: CNO
*************************** ** Overturning Results ** ***************************
Solution converged in 1 iterations.
SMF used to calculate K's = 0.6667 Alpha for the SMF = 0.0000
Page 4
Floodwall1_10_Extreme.out.txt Calculated earth pressure coefficients: Driving side at rest K = 0.0000 Driving side at rest Kc = 0.0000 Resisting side at rest K = 0.0000 Resisting side at rest Kc = 0.0000 No passive pressures used for resisting side.
Depth of cracking = 7.00 ft Crack extends to bottom of base of structure.
** Driving side pressures **
Water pressures: Elevation Pressure (ft) (ksf) ====================== 735.00 0.0000 723.50 0.7176
** Resisting side pressures **
Water pressures: Elevation Pressure (ft) (ksf) ====================== 726.00 0.0000 725.00 0.1088 725.00 0.6661 723.50 0.7176
Balancing earth pressures: Elevation Pressure (ft) (ksf) ====================== 725.00 2.0227 723.50 2.0227
** Uplift pressures **
Water pressures: x‐coord. Pressure (ft) (ksf) ====================== 0.00 0.7176 1.25 0.6661 1.25 0.5107 11.00 0.1088
Page 5
Floodwall1_10_Extreme.out.txt ** Forces and moments **
======================================================================== Part | Force (kips) | Mom. Arm | Moment | | Vert. | Horiz.| (ft) | (ft‐k) | ======================================================================== Structure: Structure weight........... 3.281 ‐4.89 ‐16.04 Structure, driving side: Moist soil................. 0.000 0.00 0.00 Saturated soil............. 4.219 ‐7.25 ‐30.59 Water above structure...... 0.000 0.00 0.00 Water above soil........... 2.106 ‐7.25 ‐15.27 External vertical loads.... 0.000 0.00 0.00 Ext. horz. pressure loads.. 0.000 0.00 0.00 Ext. horz. line loads...... 0.000 0.00 0.00 Structure, resisting side: Moist soil................. 1.384 ‐1.25 ‐1.73 Saturated soil............. 0.000 0.00 0.00 Water above structure...... 0.000 0.00 0.00 Water above soil........... 0.000 0.00 0.00 Driving side: Effective earth loads...... 0.000 0.00 0.00 Shear (due to delta)....... 0.000 0.00 0.00 Horiz. surcharge effects... 0.000 0.00 0.00 Water loads................ 4.126 2.33 9.60 Resisting side: Effective earth loads...... 0.000 0.00 0.00 Balancing earth load....... ‐3.034 ‐0.74 2.25 Water loads................ ‐1.092 ‐0.71 0.77 Foundation: Vertical force on base..... ‐7.105 ‐3.39 24.12 Uplift..................... ‐3.885 ‐6.92 26.88 ======================================================================== ** Statics Check ** SUMS = 0.000 0.000 0.00
Angle of base = 7.77 degrees Normal force on base = 7.450 kips Shear force on base = 2.046 kips Max. available shear force = 5.149 kips
Base pressure at x= 10.18 ft from toe = 0.0000 ksf Base pressure at toe = 1.3954 ksf
Xr (measured from toe) = 3.39 ft Resultant ratio = 0.3086 Stem ratio = 0.2273 Base in compression = 92.58 %
Page 6
Floodwall1_10_Extreme.out.txt Overturning ratio = 1.71
Volume of concrete = 0.81 cubic yds/ft of wall
NOTE: The engineer shall verify that the computed bearing pressures below the wall do not exceed the allowable foundation bearing pressure, or, perform a bearing capacity analysis using the program CBEAR. Also, the engineer shall verify that the base pressures do not result in excessive differential settlement of the wall foundation.
*********************** ** Sliding Results ** ***********************
Solution converged. Summation of forces = 0.
Horizontal Vertical Wedge Loads Loads Number (kips) (kips) ================================== 1 0.000 0.000 2 4.126 2.106 3 0.000 0.000
Water pressures on wedges:
Top Bottom Wedge press. press. x‐coord. press. number (ksf) (ksf) (ft) (ksf) ================================================ 1 0.0000 0.0000 2 0.0000 0.7176 2 11.0000 0.1088 3 0.0000 0.1088
Points of sliding plane: Point 1 (left), x = 0.00 ft, y = 723.50 ft Point 2 (right), x = 11.00 ft, y = 725.00 ft
Depth of cracking = 7.00 ft Crack extends to bottom of base of structure.
Failure Total Weight Submerged Uplift
Page 7
Floodwall1_10_Extreme.out.txt Wedge angle length of wedge length force number (deg) (ft) (kips) (ft) (kips) ======================================================== 1 0.000 0.000 0.000 0.000 0.000 2 7.765 11.102 9.681 11.102 4.587 3 43.330 8.015 1.973 1.457 0.079
Wedge Net force number (kips) =================== 1 0.000 2 ‐2.085 3 2.085 =================== SUM = 0.000
+‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+ | Factor of safety = 10.706 | +‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+
*********************** ** Bearing Results ** ***********************
Base width = 11.102 (ft) Xr = 3.394 (ft) Effective base width = 6.852 (ft) (measured along slope) Base slope = 7.7652 (deg)
phi = 32.000 (deg) c = 0.000 (ksf) Effective gamma = 0.0626 (kcf)
Normal load = 7.450 (kips) Load inclination = 15.359 (deg) Load eccentricity = 2.125 (ft)
Surcharge = 0.6161 (ksf) Embedment = 5.500 (ft) Ground slope = 0.0000 (deg)
Bearing Capacity Factors =============================================
Page 8
Floodwall1_10_Extreme.out.txt C Q G ============================================= Bearing 35.4903 23.1768 22.0225 Embedment 1.2896 1.1448 1.1448 Inclination 0.6878 0.6878 0.2704 Base Tilt 0.8305 0.8378 0.8378 Ground Slope 1.0000 1.0000 1.0000
Net ultimate bearing pressure = 10.2387 (ksf)
+‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+ | Factor of safety = 9.417 | +‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+
Page 9
Floodwall2_11ft6in_Usual.out.txt
****************** Echoprint of Input Data ******************
Date: 2019/ 9/30 Time: 15.43.37
Arcadia Floodwall, Height 11 1/2 ft, No Sheetpile Usual Case, Cracked, Water 10% AEP Check Design
Company name: USACE Project name: Arcadia Feasibility Study Project location: Arcadia, Wisconsin Wall location: Floodwall, Height 11 1/2 ft Computed by: CNO
Structural geometry data: Elevation of top of stem (ELTS) = 732.50 ft Height of stem (HTS) = 10.25 ft Thickness top of stem (TTS) = 1.25 ft Thickness bottom of stem (TBS) = 1.25 ft Dist. of batter at bot. of stem (TBSR)= 0.00 ft Depth of heel (THEEL) = 3.00 ft Distance of batter for heel (BTRH) = 0.00 ft Depth of toe (TTOE) = 1.25 ft Width of toe (TWIDTH) = 2.50 ft Distance of batter for toe (BTRT) = 0.00 ft Width of base (BWIDTH) = 12.00 ft Depth of key (HK) = 1.75 ft Width of bottom of key (TK) = 1.25 ft Dist. of batter at bot. of key (BTRK) = 0.00 ft
Structure coordinates:
x (ft) y (ft) ================== 0.00 719.25 0.00 722.25 8.25 722.25 8.25 732.50 9.50 732.50 9.50 722.25
Page 1
Floodwall2_11ft6in_Usual.out.txt 12.00 722.25 12.00 721.00 1.25 721.00 1.25 719.25
NOTE: X=0 is located at the left‐hand side of the structure. The Y values correspond to the actual elevation used.
Structural property data: Unit weight of concrete = 0.150 kcf
Driving side soil property data:
Moist Saturated Elev. Phi c Unit wt. unit wt. Delta soil (deg) (ksf) (kcf) (kcf) (deg) (ft) ======================================================= 32.00 0.000 0.123 0.125 0.00 726.50
Driving side soil geometry:
Soil Batter Distance point (in:1ft) (ft) ============================= 1 0.00 0.00 2 0.00 0.00 3 0.00 500.00
Driving side soil profile:
Soil x y point (ft) (ft) ============================= 1 ‐991.75 726.50 2 8.25 726.50
Resisting side soil property data:
Moist Saturated Elev. Phi c Unit wt. unit wt. soil Batter (deg) (ksf) (kcf) (kcf) (ft) (in:1ft) ======================================================== 32.00 0.000 0.123 0.125 726.50 0.00
Resisting side soil profile:
Soil x y
Page 2
Floodwall2_11ft6in_Usual.out.txt point (ft) (ft) ============================= 1 9.50 726.50 2 509.50 726.50
Foundation property data: phi for soil‐structure interface = 32.00 (deg) c for soil‐structure interface = 0.000 (ksf) phi for soil‐soil interface = 32.00 (deg) c for soil‐soil interface = 0.000 (ksf)
Water data: Driving side elevation = 730.50 ft Resisting side elevation = 722.25 ft Unit weight of water = 0.0624 kcf Seepage pressures computed by Line of Creep method.
Minimum required factors of safety: Sliding FS = 2.00 Overturning = 100.00% base in compression
Crack options: o Crack *is* down to bottom of heel o Computed cracks *will* be filled with water
All computed failure angles are based on 45+‐(phi developed)/2 Note: Any wedge angles that are 'set' are not affected by this option.
Strength mobilization factor = 0.6667
Resisting side pressures *are not* used in the overturning analysis.
Forces on the resisting side *are used* in the sliding analysis.
*Do* iterate in overturning analysis.
***** Summary of Results *****
Arcadia Floodwall, Height 11 1/2 ft, No Sheetpile
Project name: Arcadia Feasibility Study
*************** *** Satisfied *** * Overturning * Required base in comp. = 100.00 % *************** Actual base in comp. = 100.00 %
Page 3
Floodwall2_11ft6in_Usual.out.txt Overturning ratio = 1.89
Xr (measured from toe) = 4.12 ft Resultant ratio = 0.3429 Stem ratio = 0.2083 Base pressure at heel = 0.0388 ksf Base pressure at toe = 1.3080 ksf
*********** *** Satisfied *** * Sliding * Min. Required = 2.00 *********** Actual FS = 50.83
*********** * Bearing * ***********
Net ultimate bearing pressure = 12.2402 (ksf) Factor of safety = 12.145
********************** Output Results **********************
Date: 2019/ 9/30 Time: 15.43.37
Arcadia Floodwall, Height 11 1/2 ft, No Sheetpile Usual Case, Cracked, Water 10% AEP Check Design
Company name: USACE Project name: Arcadia Feasibility Study Project location: Arcadia, Wisconsin Wall location: Floodwall, Height 11 1/2 ft Computed by: CNO
*************************** ** Overturning Results ** ***************************
Solution converged in 1 iterations.
SMF used to calculate K's = 0.6667 Alpha for the SMF = 0.0000
Page 4
Floodwall2_11ft6in_Usual.out.txt Calculated earth pressure coefficients: Driving side at rest K = 0.0000 Driving side at rest Kc = 0.0000 Resisting side at rest K = 0.0000 Resisting side at rest Kc = 0.0000 No passive pressures used for resisting side.
Depth of cracking = 7.25 ft Crack extends to bottom of base of structure.
** Driving side pressures **
Water pressures: Elevation Pressure (ft) (ksf) ====================== 730.50 0.0000 719.25 0.7020
** Resisting side pressures **
Water pressures: Elevation Pressure (ft) (ksf) ====================== 722.25 0.0000 721.00 0.1261 721.00 0.6596 719.25 0.7020
Balancing earth pressures: Elevation Pressure (ft) (ksf) ====================== 721.00 1.5306 719.25 1.5306
** Uplift pressures **
Water pressures: x‐coord. Pressure (ft) (ksf) ====================== 0.00 0.7020 1.25 0.6596 1.25 0.4910 12.00 0.1261
Page 5
Floodwall2_11ft6in_Usual.out.txt ** Forces and moments **
======================================================================== Part | Force (kips) | Mom. Arm | Moment | | Vert. | Horiz.| (ft) | (ft‐k) | ======================================================================== Structure: Structure weight........... 4.500 ‐5.16 ‐23.24 Structure, driving side: Moist soil................. 0.000 0.00 0.00 Saturated soil............. 4.383 ‐7.88 ‐34.51 Water above structure...... 0.000 0.00 0.00 Water above soil........... 2.059 ‐7.87 ‐16.22 External vertical loads.... 0.000 0.00 0.00 Ext. horz. pressure loads.. 0.000 0.00 0.00 Ext. horz. line loads...... 0.000 0.00 0.00 Structure, resisting side: Moist soil................. 1.307 ‐1.25 ‐1.63 Saturated soil............. 0.000 0.00 0.00 Water above structure...... 0.000 0.00 0.00 Water above soil........... 0.000 0.00 0.00 Driving side: Effective earth loads...... 0.000 0.00 0.00 Shear (due to delta)....... 0.000 0.00 0.00 Horiz. surcharge effects... 0.000 0.00 0.00 Water loads................ 3.949 2.01 7.92 Resisting side: Effective earth loads...... 0.000 0.00 0.00 Balancing earth load....... ‐2.679 ‐0.89 2.39 Water loads................ ‐1.270 ‐0.80 1.01 Foundation: Vertical force on base..... ‐8.081 ‐4.12 33.26 Uplift..................... ‐4.168 ‐7.44 31.03 ======================================================================== ** Statics Check ** SUMS = 0.000 0.000 0.00
Angle of base = 8.30 degrees Normal force on base = 8.383 kips Shear force on base = 1.484 kips Max. available shear force = 5.881 kips
Base pressure at heel = 0.0388 ksf Base pressure at toe = 1.3080 ksf
Xr (measured from toe) = 4.12 ft Resultant ratio = 0.3429 Stem ratio = 0.2083 Base in compression = 100.00 %
Page 6
Floodwall2_11ft6in_Usual.out.txt Overturning ratio = 1.89
Volume of concrete = 1.11 cubic yds/ft of wall
NOTE: The engineer shall verify that the computed bearing pressures below the wall do not exceed the allowable foundation bearing pressure, or, perform a bearing capacity analysis using the program CBEAR. Also, the engineer shall verify that the base pressures do not result in excessive differential settlement of the wall foundation.
*********************** ** Sliding Results ** ***********************
Solution converged. Summation of forces = 0.
Horizontal Vertical Wedge Loads Loads Number (kips) (kips) ================================== 1 0.000 0.000 2 3.949 2.059 3 0.000 0.000
Water pressures on wedges:
Top Bottom Wedge press. press. x‐coord. press. number (ksf) (ksf) (ft) (ksf) ================================================ 1 0.0000 0.0000 2 0.0000 0.7020 2 12.0000 0.1261 3 0.0000 0.1261
Points of sliding plane: Point 1 (left), x = 0.00 ft, y = 719.25 ft Point 2 (right), x = 12.00 ft, y = 721.00 ft
Depth of cracking = 7.25 ft Crack extends to bottom of base of structure.
Failure Total Weight Submerged Uplift
Page 7
Floodwall2_11ft6in_Usual.out.txt Wedge angle length of wedge length force number (deg) (ft) (kips) (ft) (kips) ======================================================== 1 0.000 0.000 0.000 0.000 0.000 2 8.297 12.127 11.229 12.127 5.021 3 44.648 7.826 1.885 1.779 0.112
Wedge Net force number (kips) =================== 1 0.000 2 ‐1.906 3 1.906 =================== SUM = 0.000
+‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+ | Factor of safety = 50.832 | +‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+
*********************** ** Bearing Results ** ***********************
Base width = 12.127 (ft) Xr = 4.115 (ft) Effective base width = 8.318 (ft) (measured along slope) Base slope = 8.2971 (deg)
phi = 32.000 (deg) c = 0.000 (ksf) Effective gamma = 0.0626 (kcf)
Normal load = 8.383 (kips) Load inclination = 10.041 (deg) Load eccentricity = 1.905 (ft)
Surcharge = 0.6010 (ksf) Embedment = 5.500 (ft) Ground slope = 0.0000 (deg)
Bearing Capacity Factors =============================================
Page 8
Floodwall2_11ft6in_Usual.out.txt C Q G ============================================= Bearing 35.4903 23.1768 22.0225 Embedment 1.2386 1.1193 1.1193 Inclination 0.7893 0.7893 0.4709 Base Tilt 0.8194 0.8272 0.8272 Ground Slope 1.0000 1.0000 1.0000
Net ultimate bearing pressure = 12.2402 (ksf)
+‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+ | Factor of safety = 12.145 | +‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+
Page 9
Floodwall2_11ft6in_Unusual_Construction.out.txt
****************** Echoprint of Input Data ******************
Date: 2019/ 9/30 Time: 15.47.15
Arcadia Floodwall, Height 11 1/2 ft, No Sheetpile Unusual Case Construction, Cracked Check Design
Company name: USACE Project name: Arcadia Feasibility Study Project location: Arcadia, Wisconsin Wall location: Floodwall, Height 11 1/2 ft Computed by: CNO
Structural geometry data: Elevation of top of stem (ELTS) = 732.50 ft Height of stem (HTS) = 10.25 ft Thickness top of stem (TTS) = 1.25 ft Thickness bottom of stem (TBS) = 1.25 ft Dist. of batter at bot. of stem (TBSR)= 0.00 ft Depth of heel (THEEL) = 3.00 ft Distance of batter for heel (BTRH) = 0.00 ft Depth of toe (TTOE) = 1.25 ft Width of toe (TWIDTH) = 2.50 ft Distance of batter for toe (BTRT) = 0.00 ft Width of base (BWIDTH) = 12.00 ft Depth of key (HK) = 1.75 ft Width of bottom of key (TK) = 1.25 ft Dist. of batter at bot. of key (BTRK) = 0.00 ft
Structure coordinates:
x (ft) y (ft) ================== 0.00 719.25 0.00 722.25 8.25 722.25 8.25 732.50 9.50 732.50 9.50 722.25
Page 1
Floodwall2_11ft6in_Unusual_Construction.out.txt 12.00 722.25 12.00 721.00 1.25 721.00 1.25 719.25
NOTE: X=0 is located at the left‐hand side of the structure. The Y values correspond to the actual elevation used.
Structural property data: Unit weight of concrete = 0.150 kcf
Driving side soil property data:
Moist Saturated Elev. Phi c Unit wt. unit wt. Delta soil (deg) (ksf) (kcf) (kcf) (deg) (ft) ======================================================= 32.00 0.000 0.123 0.125 0.00 726.50
Driving side soil geometry:
Soil Batter Distance point (in:1ft) (ft) ============================= 1 0.00 0.00 2 0.00 0.00 3 0.00 500.00
Driving side soil profile:
Soil x y point (ft) (ft) ============================= 1 ‐991.75 726.50 2 8.25 726.50
Resisting side soil property data:
Moist Saturated Elev. Phi c Unit wt. unit wt. soil Batter (deg) (ksf) (kcf) (kcf) (ft) (in:1ft) ======================================================== 32.00 0.000 0.123 0.125 726.50 0.00
Resisting side soil profile:
Soil x y
Page 2
Floodwall2_11ft6in_Unusual_Construction.out.txt point (ft) (ft) ============================= 1 9.50 726.50 2 509.50 726.50
Foundation property data: phi for soil‐structure interface = 32.00 (deg) c for soil‐structure interface = 0.000 (ksf) phi for soil‐soil interface = 32.00 (deg) c for soil‐soil interface = 0.000 (ksf)
Water data: Driving side elevation = 731.50 ft Resisting side elevation = 722.25 ft Unit weight of water = 0.0624 kcf Seepage pressures computed by Line of Creep method.
Uniform load data: Magnitude of load = 0.2500 k/ft
Minimum required factors of safety: Sliding FS = 1.50 Overturning = 75.00% base in compression
Crack options: o Crack *is* down to bottom of heel o Computed cracks *will* be filled with water
All computed failure angles are based on 45+‐(phi developed)/2 Note: Any wedge angles that are 'set' are not affected by this option.
Strength mobilization factor = 0.6667
Resisting side pressures *are not* used in the overturning analysis.
Forces on the resisting side *are used* in the sliding analysis.
*Do* iterate in overturning analysis.
***** Summary of Results *****
Arcadia Floodwall, Height 11 1/2 ft, No Sheetpile
Project name: Arcadia Feasibility Study
Page 3
Floodwall2_11ft6in_Unusual_Construction.out.txt *************** *** Satisfied *** * Overturning * Required base in comp. = 75.00 % *************** Actual base in comp. = 100.00 % Overturning ratio = 2.09
Xr (measured from toe) = 4.57 ft Resultant ratio = 0.3807 Stem ratio = 0.2083 Base pressure at heel = 0.2438 ksf Base pressure at toe = 1.4701 ksf
*********** *** Satisfied *** * Sliding * Min. Required = 1.50 *********** Actual FS = 17.83
*********** * Bearing * ***********
Net ultimate bearing pressure = 12.6451 (ksf) Factor of safety = 10.962
********************** Output Results **********************
Date: 2019/ 9/30 Time: 15.47.15
Arcadia Floodwall, Height 11 1/2 ft, No Sheetpile Unusual Case Construction, Cracked Check Design
Company name: USACE Project name: Arcadia Feasibility Study Project location: Arcadia, Wisconsin Wall location: Floodwall, Height 11 1/2 ft Computed by: CNO
*************************** ** Overturning Results ** ***************************
Solution converged in 1 iterations.
Page 4
Floodwall2_11ft6in_Unusual_Construction.out.txt
SMF used to calculate K's = 0.6667 Alpha for the SMF = 0.0000 Calculated earth pressure coefficients: Driving side at rest K = 0.0000 Driving side at rest Kc = 0.0000 Resisting side at rest K = 0.0000 Resisting side at rest Kc = 0.0000 No passive pressures used for resisting side.
Depth of cracking = 7.25 ft Crack extends to bottom of base of structure.
** Driving side pressures **
Water pressures: Elevation Pressure (ft) (ksf) ====================== 731.50 0.0000 719.25 0.7644
Surcharge pressures: Elev. Press. (ft) (ksf) ===================
** Resisting side pressures **
Water pressures: Elevation Pressure (ft) (ksf) ====================== 722.25 0.0000 721.00 0.1319 721.00 0.7168 719.25 0.7644
Balancing earth pressures: Elevation Pressure (ft) (ksf) ====================== 721.00 1.8877 719.25 1.8877
** Uplift pressures **
Water pressures:
Page 5
Floodwall2_11ft6in_Unusual_Construction.out.txt x‐coord. Pressure (ft) (ksf) ====================== 0.00 0.7644 1.25 0.7168 1.25 0.5410 12.00 0.1319
** Forces and moments **
======================================================================== Part | Force (kips) | Mom. Arm | Moment | | Vert. | Horiz.| (ft) | (ft‐k) | ======================================================================== Structure: Structure weight........... 4.500 ‐5.16 ‐23.24 Structure, driving side: Moist soil................. 0.000 0.00 0.00 Saturated soil............. 4.383 ‐7.88 ‐34.51 Water above structure...... 0.000 0.00 0.00 Water above soil........... 2.574 ‐7.87 ‐20.27 External vertical loads.... 2.062 ‐7.88 ‐16.24 Ext. horz. pressure loads.. 0.000 0.00 0.00 Ext. horz. line loads...... 0.000 0.00 0.00 Structure, resisting side: Moist soil................. 1.307 ‐1.25 ‐1.63 Saturated soil............. 0.000 0.00 0.00 Water above structure...... 0.000 0.00 0.00 Water above soil........... 0.000 0.00 0.00 Driving side: Effective earth loads...... 0.000 0.00 0.00 Shear (due to delta)....... 0.000 0.00 0.00 Horiz. surcharge effects... 0.000 0.00 0.00 Water loads................ 4.682 2.33 10.91 Resisting side: Effective earth loads...... 0.000 0.00 0.00 Balancing earth load....... ‐3.303 ‐0.89 2.96 Water loads................ ‐1.379 ‐0.82 1.13 Foundation: Vertical force on base..... ‐10.283 ‐4.57 46.98 Uplift..................... ‐4.543 ‐7.47 33.92 ======================================================================== ** Statics Check ** SUMS = 0.000 0.000 0.00
Angle of base = 8.30 degrees Normal force on base = 10.652 kips Shear force on base = 1.785 kips Max. available shear force = 7.299 kips
Page 6
Floodwall2_11ft6in_Unusual_Construction.out.txt
Base pressure at heel = 0.2438 ksf Base pressure at toe = 1.4701 ksf
Xr (measured from toe) = 4.57 ft Resultant ratio = 0.3807 Stem ratio = 0.2083 Base in compression = 100.00 % Overturning ratio = 2.09
Volume of concrete = 1.11 cubic yds/ft of wall
NOTE: The engineer shall verify that the computed bearing pressures below the wall do not exceed the allowable foundation bearing pressure, or, perform a bearing capacity analysis using the program CBEAR. Also, the engineer shall verify that the base pressures do not result in excessive differential settlement of the wall foundation.
*********************** ** Sliding Results ** ***********************
Solution converged. Summation of forces = 0.
Horizontal Vertical Wedge Loads Loads Number (kips) (kips) ================================== 1 0.000 0.000 2 4.682 4.637 3 0.000 0.000
Water pressures on wedges:
Top Bottom Wedge press. press. x‐coord. press. number (ksf) (ksf) (ft) (ksf) ================================================ 1 0.0000 0.0000 2 0.0000 0.7644 2 12.0000 0.1319 3 0.0000 0.1319
Page 7
Floodwall2_11ft6in_Unusual_Construction.out.txt Points of sliding plane: Point 1 (left), x = 0.00 ft, y = 719.25 ft Point 2 (right), x = 12.00 ft, y = 721.00 ft
Depth of cracking = 7.25 ft Crack extends to bottom of base of structure.
Failure Total Weight Submerged Uplift Wedge angle length of wedge length force number (deg) (ft) (kips) (ft) (kips) ======================================================== 1 0.000 0.000 0.000 0.000 0.000 2 8.297 12.127 11.229 12.127 5.435 3 43.996 7.918 1.928 1.800 0.119
Wedge Net force number (kips) =================== 1 0.000 2 ‐1.991 3 1.991 =================== SUM = 0.000
+‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+ | Factor of safety = 17.830 | +‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+
*********************** ** Bearing Results ** ***********************
Base width = 12.127 (ft) Xr = 4.569 (ft) Effective base width = 9.234 (ft) (measured along slope) Base slope = 8.2971 (deg)
phi = 32.000 (deg) c = 0.000 (ksf) Effective gamma = 0.0626 (kcf)
Normal load = 10.652 (kips) Load inclination = 9.512 (deg) Load eccentricity = 1.446 (ft)
Page 8
Floodwall2_11ft6in_Unusual_Construction.out.txt
Surcharge = 0.6010 (ksf) Embedment = 5.500 (ft) Ground slope = 0.0000 (deg)
Bearing Capacity Factors ============================================= C Q G ============================================= Bearing 35.4903 23.1768 22.0225 Embedment 1.2149 1.1074 1.1074 Inclination 0.7998 0.7998 0.4939 Base Tilt 0.8194 0.8272 0.8272 Ground Slope 1.0000 1.0000 1.0000
Net ultimate bearing pressure = 12.6451 (ksf)
+‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+ | Factor of safety = 10.962 | +‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+
Page 9
Floodwall2_11ft6in_Unusual.out.txt
****************** Echoprint of Input Data ******************
Date: 2019/ 9/30 Time: 15.41.56
Arcadia Floodwall, Height 11 1/2 ft, No Sheetpile Unusual Case, Cracked, Water Design Flood EL Check Design
Company name: USACE Project name: Arcadia Feasibility Study Project location: Arcadia, Wisconsin Wall location: Floodwall, Height 11 1/2 ft Computed by: CNO
Structural geometry data: Elevation of top of stem (ELTS) = 732.50 ft Height of stem (HTS) = 10.25 ft Thickness top of stem (TTS) = 1.25 ft Thickness bottom of stem (TBS) = 1.25 ft Dist. of batter at bot. of stem (TBSR)= 0.00 ft Depth of heel (THEEL) = 3.00 ft Distance of batter for heel (BTRH) = 0.00 ft Depth of toe (TTOE) = 1.25 ft Width of toe (TWIDTH) = 2.50 ft Distance of batter for toe (BTRT) = 0.00 ft Width of base (BWIDTH) = 12.00 ft Depth of key (HK) = 1.75 ft Width of bottom of key (TK) = 1.25 ft Dist. of batter at bot. of key (BTRK) = 0.00 ft
Structure coordinates:
x (ft) y (ft) ================== 0.00 719.25 0.00 722.25 8.25 722.25 8.25 732.50 9.50 732.50 9.50 722.25
Page 1
Floodwall2_11ft6in_Unusual.out.txt 12.00 722.25 12.00 721.00 1.25 721.00 1.25 719.25
NOTE: X=0 is located at the left‐hand side of the structure. The Y values correspond to the actual elevation used.
Structural property data: Unit weight of concrete = 0.150 kcf
Driving side soil property data:
Moist Saturated Elev. Phi c Unit wt. unit wt. Delta soil (deg) (ksf) (kcf) (kcf) (deg) (ft) ======================================================= 32.00 0.000 0.123 0.125 0.00 726.50
Driving side soil geometry:
Soil Batter Distance point (in:1ft) (ft) ============================= 1 0.00 0.00 2 0.00 0.00 3 0.00 500.00
Driving side soil profile:
Soil x y point (ft) (ft) ============================= 1 ‐991.75 726.50 2 8.25 726.50
Resisting side soil property data:
Moist Saturated Elev. Phi c Unit wt. unit wt. soil Batter (deg) (ksf) (kcf) (kcf) (ft) (in:1ft) ======================================================== 32.00 0.000 0.123 0.125 726.50 0.00
Resisting side soil profile:
Soil x y
Page 2
Floodwall2_11ft6in_Unusual.out.txt point (ft) (ft) ============================= 1 9.50 726.50 2 509.50 726.50
Foundation property data: phi for soil‐structure interface = 32.00 (deg) c for soil‐structure interface = 0.000 (ksf) phi for soil‐soil interface = 32.00 (deg) c for soil‐soil interface = 0.000 (ksf)
Water data: Driving side elevation = 731.50 ft Resisting side elevation = 722.25 ft Unit weight of water = 0.0624 kcf Seepage pressures computed by Line of Creep method.
Horizontal line load data:
Elevation Force (ft) (kips) ======================== 731.50 0.50
Minimum required factors of safety: Sliding FS = 1.50 Overturning = 75.00% base in compression
Crack options: o Crack *is* down to bottom of heel o Computed cracks *will* be filled with water
All computed failure angles are based on 45+‐(phi developed)/2 Note: Any wedge angles that are 'set' are not affected by this option.
Strength mobilization factor = 0.6667
Resisting side pressures *are not* used in the overturning analysis.
Forces on the resisting side *are used* in the sliding analysis.
*Do* iterate in overturning analysis.
***** Summary of Results *****
Page 3
Floodwall2_11ft6in_Unusual.out.txt Arcadia Floodwall, Height 11 1/2 ft, No Sheetpile
Project name: Arcadia Feasibility Study
*************** *** Satisfied *** * Overturning * Required base in comp. = 75.00 % *************** Actual base in comp. = 76.28 % Overturning ratio = 1.56
Xr (measured from toe) = 3.05 ft Resultant ratio = 0.2543 Stem ratio = 0.2083 Base pressure at x= 9.15 ft from toe = 0.0000 ksf Base pressure at toe = 1.7961 ksf
*********** *** Satisfied *** * Sliding * Min. Required = 1.50 *********** Actual FS = 6.06
*********** * Bearing * ***********
Net ultimate bearing pressure = 9.4830 (ksf) Factor of safety = 6.735
********************** Output Results **********************
Date: 2019/ 9/30 Time: 15.41.56
Arcadia Floodwall, Height 11 1/2 ft, No Sheetpile Unusual Case, Cracked, Water Design Flood EL Check Design
Company name: USACE Project name: Arcadia Feasibility Study Project location: Arcadia, Wisconsin Wall location: Floodwall, Height 11 1/2 ft Computed by: CNO
***************************
Page 4
Floodwall2_11ft6in_Unusual.out.txt ** Overturning Results ** ***************************
Solution converged in 1 iterations.
SMF used to calculate K's = 0.6667 Alpha for the SMF = 0.0000 Calculated earth pressure coefficients: Driving side at rest K = 0.0000 Driving side at rest Kc = 0.0000 Resisting side at rest K = 0.0000 Resisting side at rest Kc = 0.0000 No passive pressures used for resisting side.
Depth of cracking = 7.25 ft Crack extends to bottom of base of structure.
** Driving side pressures **
Water pressures: Elevation Pressure (ft) (ksf) ====================== 731.50 0.0000 719.25 0.7644
** Resisting side pressures **
Water pressures: Elevation Pressure (ft) (ksf) ====================== 722.25 0.0000 721.00 0.1319 721.00 0.7168 719.25 0.7644
Balancing earth pressures: Elevation Pressure (ft) (ksf) ====================== 721.00 2.1734 719.25 2.1734
** Uplift pressures **
Water pressures: x‐coord. Pressure
Page 5
Floodwall2_11ft6in_Unusual.out.txt (ft) (ksf) ====================== 0.00 0.7644 1.25 0.7168 1.25 0.5410 12.00 0.1319
** Forces and moments **
======================================================================== Part | Force (kips) | Mom. Arm | Moment | | Vert. | Horiz.| (ft) | (ft‐k) | ======================================================================== Structure: Structure weight........... 4.500 ‐5.16 ‐23.24 Structure, driving side: Moist soil................. 0.000 0.00 0.00 Saturated soil............. 4.383 ‐7.88 ‐34.51 Water above structure...... 0.000 0.00 0.00 Water above soil........... 2.574 ‐7.87 ‐20.27 External vertical loads.... 0.000 0.00 0.00 Ext. horz. pressure loads.. 0.000 0.00 0.00 Ext. horz. line loads...... 0.500 10.50 5.25 Structure, resisting side: Moist soil................. 1.307 ‐1.25 ‐1.63 Saturated soil............. 0.000 0.00 0.00 Water above structure...... 0.000 0.00 0.00 Water above soil........... 0.000 0.00 0.00 Driving side: Effective earth loads...... 0.000 0.00 0.00 Shear (due to delta)....... 0.000 0.00 0.00 Horiz. surcharge effects... 0.000 0.00 0.00 Water loads................ 4.682 2.33 10.91 Resisting side: Effective earth loads...... 0.000 0.00 0.00 Balancing earth load....... ‐3.803 ‐0.88 3.36 Water loads................ ‐1.379 ‐0.82 1.13 Foundation: Vertical force on base..... ‐8.221 ‐3.05 25.08 Uplift..................... ‐4.543 ‐7.47 33.92 ======================================================================== ** Statics Check ** SUMS = 0.000 0.000 0.00
Angle of base = 8.30 degrees Normal force on base = 8.684 kips Shear force on base = 2.577 kips Max. available shear force = 6.069 kips
Page 6
Floodwall2_11ft6in_Unusual.out.txt Base pressure at x= 9.15 ft from toe = 0.0000 ksf Base pressure at toe = 1.7961 ksf
Xr (measured from toe) = 3.05 ft Resultant ratio = 0.2543 Stem ratio = 0.2083 Base in compression = 76.28 % Overturning ratio = 1.56
Volume of concrete = 1.11 cubic yds/ft of wall
NOTE: The engineer shall verify that the computed bearing pressures below the wall do not exceed the allowable foundation bearing pressure, or, perform a bearing capacity analysis using the program CBEAR. Also, the engineer shall verify that the base pressures do not result in excessive differential settlement of the wall foundation.
*********************** ** Sliding Results ** ***********************
Solution converged. Summation of forces = 0.
Horizontal Vertical Wedge Loads Loads Number (kips) (kips) ================================== 1 0.000 0.000 2 5.182 2.574 3 0.000 0.000
Water pressures on wedges:
Top Bottom Wedge press. press. x‐coord. press. number (ksf) (ksf) (ft) (ksf) ================================================ 1 0.0000 0.0000 2 0.0000 0.7644 2 12.0000 0.1319 3 0.0000 0.1319
Points of sliding plane:
Page 7
Floodwall2_11ft6in_Unusual.out.txt Point 1 (left), x = 0.00 ft, y = 719.25 ft Point 2 (right), x = 12.00 ft, y = 721.00 ft
Depth of cracking = 7.25 ft Crack extends to bottom of base of structure.
Failure Total Weight Submerged Uplift Wedge angle length of wedge length force number (deg) (ft) (kips) (ft) (kips) ======================================================== 1 0.000 0.000 0.000 0.000 0.000 2 8.297 12.127 11.229 12.127 5.435 3 42.057 8.211 2.064 1.866 0.123
Wedge Net force number (kips) =================== 1 0.000 2 ‐2.269 3 2.269 =================== SUM = 0.000
+‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+ | Factor of safety = 6.062 | +‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+
*********************** ** Bearing Results ** ***********************
Base width = 12.127 (ft) Xr = 3.051 (ft) Effective base width = 6.167 (ft) (measured along slope) Base slope = 8.2971 (deg)
phi = 32.000 (deg) c = 0.000 (ksf) Effective gamma = 0.0626 (kcf)
Normal load = 8.684 (kips) Load inclination = 16.531 (deg) Load eccentricity = 2.980 (ft)
Page 8
Floodwall2_11ft6in_Unusual.out.txt Surcharge = 0.6010 (ksf) Embedment = 5.500 (ft) Ground slope = 0.0000 (deg)
Bearing Capacity Factors ============================================= C Q G ============================================= Bearing 35.4903 23.1768 22.0225 Embedment 1.3218 1.1609 1.1609 Inclination 0.6664 0.6664 0.2337 Base Tilt 0.8194 0.8272 0.8272 Ground Slope 1.0000 1.0000 1.0000
Net ultimate bearing pressure = 9.4830 (ksf)
+‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+ | Factor of safety = 6.735 | +‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+
Page 9
Floodwall2_11ft6in_Extreme.out.txt
****************** Echoprint of Input Data ******************
Date: 2019/ 9/30 Time: 15.44.39
Arcadia Floodwall, Height 11 1/2 ft, No Sheetpile Extreme Case, Cracked, Water Top of Wall w Superiority Check Design
Company name: USACE Project name: Arcadia Feasibility Study Project location: Arcadia, Wisconsin Wall location: Floodwall, Height 11 1/2 ft Computed by: CNO
Structural geometry data: Elevation of top of stem (ELTS) = 732.50 ft Height of stem (HTS) = 10.25 ft Thickness top of stem (TTS) = 1.25 ft Thickness bottom of stem (TBS) = 1.25 ft Dist. of batter at bot. of stem (TBSR)= 0.00 ft Depth of heel (THEEL) = 3.00 ft Distance of batter for heel (BTRH) = 0.00 ft Depth of toe (TTOE) = 1.25 ft Width of toe (TWIDTH) = 2.50 ft Distance of batter for toe (BTRT) = 0.00 ft Width of base (BWIDTH) = 12.00 ft Depth of key (HK) = 1.75 ft Width of bottom of key (TK) = 1.25 ft Dist. of batter at bot. of key (BTRK) = 0.00 ft
Structure coordinates:
x (ft) y (ft) ================== 0.00 719.25 0.00 722.25 8.25 722.25 8.25 732.50 9.50 732.50 9.50 722.25
Page 1
Floodwall2_11ft6in_Extreme.out.txt 12.00 722.25 12.00 721.00 1.25 721.00 1.25 719.25
NOTE: X=0 is located at the left‐hand side of the structure. The Y values correspond to the actual elevation used.
Structural property data: Unit weight of concrete = 0.150 kcf
Driving side soil property data:
Moist Saturated Elev. Phi c Unit wt. unit wt. Delta soil (deg) (ksf) (kcf) (kcf) (deg) (ft) ======================================================= 32.00 0.000 0.123 0.125 0.00 726.50
Driving side soil geometry:
Soil Batter Distance point (in:1ft) (ft) ============================= 1 0.00 0.00 2 0.00 0.00 3 0.00 500.00
Driving side soil profile:
Soil x y point (ft) (ft) ============================= 1 ‐991.75 726.50 2 8.25 726.50
Resisting side soil property data:
Moist Saturated Elev. Phi c Unit wt. unit wt. soil Batter (deg) (ksf) (kcf) (kcf) (ft) (in:1ft) ======================================================== 32.00 0.000 0.123 0.125 726.50 0.00
Resisting side soil profile:
Soil x y
Page 2
Floodwall2_11ft6in_Extreme.out.txt point (ft) (ft) ============================= 1 9.50 726.50 2 509.50 726.50
Foundation property data: phi for soil‐structure interface = 32.00 (deg) c for soil‐structure interface = 0.000 (ksf) phi for soil‐soil interface = 32.00 (deg) c for soil‐soil interface = 0.000 (ksf)
Water data: Driving side elevation = 732.50 ft Resisting side elevation = 722.25 ft Unit weight of water = 0.0624 kcf Seepage pressures computed by Line of Creep method.
Minimum required factors of safety: Sliding FS = 1.10 Overturning = 0.00% base in compression
Crack options: o Crack *is* down to bottom of heel o Computed cracks *will* be filled with water
All computed failure angles are based on 45+‐(phi developed)/2 Note: Any wedge angles that are 'set' are not affected by this option.
Strength mobilization factor = 0.6667
Resisting side pressures *are not* used in the overturning analysis.
Forces on the resisting side *are used* in the sliding analysis.
*Do* iterate in overturning analysis.
***** Summary of Results *****
Arcadia Floodwall, Height 11 1/2 ft, No Sheetpile
Project name: Arcadia Feasibility Study
*************** *** Satisfied *** * Overturning * Required base in comp. = 0.00 % *************** Actual base in comp. = 82.58 %
Page 3
Floodwall2_11ft6in_Extreme.out.txt Overturning ratio = 1.59
Xr (measured from toe) = 3.30 ft Resultant ratio = 0.2753 Stem ratio = 0.2083 Base pressure at x= 9.91 ft from toe = 0.0000 ksf Base pressure at toe = 1.6873 ksf
*********** *** Satisfied *** * Sliding * Min. Required = 1.10 *********** Actual FS = 5.26
*********** * Bearing * ***********
Net ultimate bearing pressure = 9.2144 (ksf) Factor of safety = 6.952
********************** Output Results **********************
Date: 2019/ 9/30 Time: 15.44.39
Arcadia Floodwall, Height 11 1/2 ft, No Sheetpile Extreme Case, Cracked, Water Top of Wall w Superiority Check Design
Company name: USACE Project name: Arcadia Feasibility Study Project location: Arcadia, Wisconsin Wall location: Floodwall, Height 11 1/2 ft Computed by: CNO
*************************** ** Overturning Results ** ***************************
Solution converged in 1 iterations.
SMF used to calculate K's = 0.6667 Alpha for the SMF = 0.0000
Page 4
Floodwall2_11ft6in_Extreme.out.txt Calculated earth pressure coefficients: Driving side at rest K = 0.0000 Driving side at rest Kc = 0.0000 Resisting side at rest K = 0.0000 Resisting side at rest Kc = 0.0000 No passive pressures used for resisting side.
Depth of cracking = 7.25 ft Crack extends to bottom of base of structure.
** Driving side pressures **
Water pressures: Elevation Pressure (ft) (ksf) ====================== 732.50 0.0000 719.25 0.8268
** Resisting side pressures **
Water pressures: Elevation Pressure (ft) (ksf) ====================== 722.25 0.0000 721.00 0.1378 721.00 0.7741 719.25 0.8268
Balancing earth pressures: Elevation Pressure (ft) (ksf) ====================== 721.00 2.2804 719.25 2.2804
** Uplift pressures **
Water pressures: x‐coord. Pressure (ft) (ksf) ====================== 0.00 0.8268 1.25 0.7741 1.25 0.5911 12.00 0.1378
Page 5
Floodwall2_11ft6in_Extreme.out.txt ** Forces and moments **
======================================================================== Part | Force (kips) | Mom. Arm | Moment | | Vert. | Horiz.| (ft) | (ft‐k) | ======================================================================== Structure: Structure weight........... 4.500 ‐5.16 ‐23.24 Structure, driving side: Moist soil................. 0.000 0.00 0.00 Saturated soil............. 4.383 ‐7.88 ‐34.51 Water above structure...... 0.000 0.00 0.00 Water above soil........... 3.089 ‐7.87 ‐24.32 External vertical loads.... 0.000 0.00 0.00 Ext. horz. pressure loads.. 0.000 0.00 0.00 Ext. horz. line loads...... 0.000 0.00 0.00 Structure, resisting side: Moist soil................. 1.307 ‐1.25 ‐1.63 Saturated soil............. 0.000 0.00 0.00 Water above structure...... 0.000 0.00 0.00 Water above soil........... 0.000 0.00 0.00 Driving side: Effective earth loads...... 0.000 0.00 0.00 Shear (due to delta)....... 0.000 0.00 0.00 Horiz. surcharge effects... 0.000 0.00 0.00 Water loads................ 5.478 2.67 14.62 Resisting side: Effective earth loads...... 0.000 0.00 0.00 Balancing earth load....... ‐3.991 ‐0.87 3.47 Water loads................ ‐1.487 ‐0.80 1.19 Foundation: Vertical force on base..... ‐8.360 ‐3.30 27.62 Uplift..................... ‐4.918 ‐7.48 36.81 ======================================================================== ** Statics Check ** SUMS = 0.000 0.000 0.00
Angle of base = 8.30 degrees Normal force on base = 8.849 kips Shear force on base = 2.742 kips Max. available shear force = 6.172 kips
Base pressure at x= 9.91 ft from toe = 0.0000 ksf Base pressure at toe = 1.6873 ksf
Xr (measured from toe) = 3.30 ft Resultant ratio = 0.2753 Stem ratio = 0.2083 Base in compression = 82.58 %
Page 6
Floodwall2_11ft6in_Extreme.out.txt Overturning ratio = 1.59
Volume of concrete = 1.11 cubic yds/ft of wall
NOTE: The engineer shall verify that the computed bearing pressures below the wall do not exceed the allowable foundation bearing pressure, or, perform a bearing capacity analysis using the program CBEAR. Also, the engineer shall verify that the base pressures do not result in excessive differential settlement of the wall foundation.
*********************** ** Sliding Results ** ***********************
Solution converged. Summation of forces = 0.
Horizontal Vertical Wedge Loads Loads Number (kips) (kips) ================================== 1 0.000 0.000 2 5.478 3.089 3 0.000 0.000
Water pressures on wedges:
Top Bottom Wedge press. press. x‐coord. press. number (ksf) (ksf) (ft) (ksf) ================================================ 1 0.0000 0.0000 2 0.0000 0.8268 2 12.0000 0.1378 3 0.0000 0.1378
Points of sliding plane: Point 1 (left), x = 0.00 ft, y = 719.25 ft Point 2 (right), x = 12.00 ft, y = 721.00 ft
Depth of cracking = 7.25 ft Crack extends to bottom of base of structure.
Failure Total Weight Submerged Uplift
Page 7
Floodwall2_11ft6in_Extreme.out.txt Wedge angle length of wedge length force number (deg) (ft) (kips) (ft) (kips) ======================================================== 1 0.000 0.000 0.000 0.000 0.000 2 8.297 12.127 11.229 12.127 5.849 3 41.613 8.282 2.096 1.882 0.130
Wedge Net force number (kips) =================== 1 0.000 2 ‐2.337 3 2.337 =================== SUM = 0.000
+‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+ | Factor of safety = 5.260 | +‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+
*********************** ** Bearing Results ** ***********************
Base width = 12.127 (ft) Xr = 3.303 (ft) Effective base width = 6.676 (ft) (measured along slope) Base slope = 8.2971 (deg)
phi = 32.000 (deg) c = 0.000 (ksf) Effective gamma = 0.0626 (kcf)
Normal load = 8.849 (kips) Load inclination = 17.220 (deg) Load eccentricity = 2.725 (ft)
Surcharge = 0.6010 (ksf) Embedment = 5.500 (ft) Ground slope = 0.0000 (deg)
Bearing Capacity Factors =============================================
Page 8
Floodwall2_11ft6in_Extreme.out.txt C Q G ============================================= Bearing 35.4903 23.1768 22.0225 Embedment 1.2972 1.1486 1.1486 Inclination 0.6539 0.6539 0.2133 Base Tilt 0.8194 0.8272 0.8272 Ground Slope 1.0000 1.0000 1.0000
Net ultimate bearing pressure = 9.2144 (ksf)
+‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+ | Factor of safety = 6.952 | +‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+
Page 9
RailroadClosure_11ft_Usual.out.txt
****************** Echoprint of Input Data ******************
Date: 2019/10/ 3 Time: 10.47.58
Arcadia Railroad Closure, Height 11 ft, No Sheetpile Usual Case, Cracked, Water 10% AEP Check Design
Company name: USACE Project name: Arcadia Feasibility Study Project location: Arcadia, Wisconsin Wall location: Railroad Closure, Height 11 ft. Computed by: CNO
Structural geometry data: Elevation of top of stem (ELTS) = 737.00 ft Height of stem (HTS) = 9.00 ft Thickness top of stem (TTS) = 1.25 ft Thickness bottom of stem (TBS) = 1.25 ft Dist. of batter at bot. of stem (TBSR)= 0.00 ft Depth of heel (THEEL) = 3.75 ft Distance of batter for heel (BTRH) = 0.00 ft Depth of toe (TTOE) = 2.00 ft Width of toe (TWIDTH) = 2.50 ft Distance of batter for toe (BTRT) = 0.00 ft Width of base (BWIDTH) = 12.00 ft Depth of key (HK) = 1.75 ft Width of bottom of key (TK) = 1.25 ft Dist. of batter at bot. of key (BTRK) = 0.00 ft
Structure coordinates:
x (ft) y (ft) ================== 0.00 724.25 0.00 728.00 8.25 728.00 8.25 737.00 9.50 737.00 9.50 728.00
Page 1
RailroadClosure_11ft_Usual.out.txt 12.00 728.00 12.00 726.00 1.25 726.00 1.25 724.25
NOTE: X=0 is located at the left‐hand side of the structure. The Y values correspond to the actual elevation used.
Structural property data: Unit weight of concrete = 0.150 kcf
Driving side soil property data:
Moist Saturated Elev. Phi c Unit wt. unit wt. Delta soil (deg) (ksf) (kcf) (kcf) (deg) (ft) ======================================================= 32.00 0.000 0.123 0.125 0.00 731.50
Driving side soil geometry:
Soil Batter Distance point (in:1ft) (ft) ============================= 1 0.00 0.00 2 0.00 0.00 3 0.00 500.00
Driving side soil profile:
Soil x y point (ft) (ft) ============================= 1 ‐991.75 731.50 2 8.25 731.50
Resisting side soil property data:
Moist Saturated Elev. Phi c Unit wt. unit wt. soil Batter (deg) (ksf) (kcf) (kcf) (ft) (in:1ft) ======================================================== 32.00 0.000 0.123 0.125 731.50 0.00
Resisting side soil profile:
Soil x y
Page 2
RailroadClosure_11ft_Usual.out.txt point (ft) (ft) ============================= 1 9.50 731.50 2 509.50 731.50
Foundation property data: phi for soil‐structure interface = 32.00 (deg) c for soil‐structure interface = 0.000 (ksf) phi for soil‐soil interface = 32.00 (deg) c for soil‐soil interface = 0.000 (ksf)
Water data: Driving side elevation = 732.20 ft Resisting side elevation = 728.00 ft Unit weight of water = 0.0624 kcf Seepage pressures computed by Line of Creep method.
Minimum required factors of safety: Sliding FS = 2.00 Overturning = 100.00% base in compression
Crack options: o Crack *is* down to bottom of heel o Computed cracks *will* be filled with water
All computed failure angles are based on 45+‐(phi developed)/2 Note: Any wedge angles that are 'set' are not affected by this option.
Strength mobilization factor = 0.6667
Resisting side pressures *are not* used in the overturning analysis.
Forces on the resisting side *are used* in the sliding analysis.
*Do* iterate in overturning analysis.
***** Summary of Results *****
Arcadia Railroad Closure, Height 11 ft, No Sheetpile
Project name: Arcadia Feasibility Study
*************** *** Satisfied *** * Overturning * Required base in comp. = 100.00 % *************** Actual base in comp. = 100.00 %
Page 3
RailroadClosure_11ft_Usual.out.txt Overturning ratio = 2.48
Xr (measured from toe) = 5.01 ft Resultant ratio = 0.4174 Stem ratio = 0.2083 Base pressure at heel = 0.3097 ksf Base pressure at toe = 0.9184 ksf
*********** *** Satisfied *** * Sliding * Min. Required = 2.00 *********** Actual FS = 407.92
*********** * Bearing * ***********
Net ultimate bearing pressure = 16.9725 (ksf) Factor of safety = 23.125
********************** Output Results **********************
Date: 2019/10/ 3 Time: 10.47.58
Arcadia Railroad Closure, Height 11 ft, No Sheetpile Usual Case, Cracked, Water 10% AEP Check Design
Company name: USACE Project name: Arcadia Feasibility Study Project location: Arcadia, Wisconsin Wall location: Railroad Closure, Height 11 ft. Computed by: CNO
*************************** ** Overturning Results ** ***************************
Solution converged in 1 iterations.
SMF used to calculate K's = 0.6667 Alpha for the SMF = 0.0000
Page 4
RailroadClosure_11ft_Usual.out.txt Calculated earth pressure coefficients: Driving side at rest K = 0.0000 Driving side at rest Kc = 0.0000 Resisting side at rest K = 0.0000 Resisting side at rest Kc = 0.0000 No passive pressures used for resisting side.
Depth of cracking = 7.25 ft Crack extends to bottom of base of structure.
** Driving side pressures **
Water pressures: Elevation Pressure (ft) (ksf) ====================== 732.20 0.0000 724.25 0.4961
** Resisting side pressures **
Water pressures: Elevation Pressure (ft) (ksf) ====================== 728.00 0.0000 726.00 0.1619 726.00 0.4756 724.25 0.4961
Balancing earth pressures: Elevation Pressure (ft) (ksf) ====================== 726.00 0.5484 724.25 0.5484
** Uplift pressures **
Water pressures: x‐coord. Pressure (ft) (ksf) ====================== 0.00 0.4961 1.25 0.4756 1.25 0.3378 12.00 0.1619
Page 5
RailroadClosure_11ft_Usual.out.txt ** Forces and moments **
======================================================================== Part | Force (kips) | Mom. Arm | Moment | | Vert. | Horiz.| (ft) | (ft‐k) | ======================================================================== Structure: Structure weight........... 5.616 ‐5.45 ‐30.61 Structure, driving side: Moist soil................. 0.000 0.00 0.00 Saturated soil............. 3.609 ‐7.88 ‐28.42 Water above structure...... 0.000 0.00 0.00 Water above soil........... 0.360 ‐7.87 ‐2.84 External vertical loads.... 0.000 0.00 0.00 Ext. horz. pressure loads.. 0.000 0.00 0.00 Ext. horz. line loads...... 0.000 0.00 0.00 Structure, resisting side: Moist soil................. 1.076 ‐1.25 ‐1.35 Saturated soil............. 0.000 0.00 0.00 Water above structure...... 0.000 0.00 0.00 Water above soil........... 0.000 0.00 0.00 Driving side: Effective earth loads...... 0.000 0.00 0.00 Shear (due to delta)....... 0.000 0.00 0.00 Horiz. surcharge effects... 0.000 0.00 0.00 Water loads................ 1.972 0.91 1.80 Resisting side: Effective earth loads...... 0.000 0.00 0.00 Balancing earth load....... ‐0.960 ‐0.88 0.85 Water loads................ ‐1.012 ‐0.61 0.62 Foundation: Vertical force on base..... ‐7.368 ‐5.01 36.91 Uplift..................... ‐3.293 ‐7.00 23.04 ======================================================================== ** Statics Check ** SUMS = 0.000 0.000 0.00
Angle of base = 8.30 degrees Normal force on base = 7.430 kips Shear force on base = ‐0.114 kips Max. available shear force = 5.285 kips
Base pressure at heel = 0.3097 ksf Base pressure at toe = 0.9184 ksf
Xr (measured from toe) = 5.01 ft Resultant ratio = 0.4174 Stem ratio = 0.2083 Base in compression = 100.00 %
Page 6
RailroadClosure_11ft_Usual.out.txt Overturning ratio = 2.48
Volume of concrete = 1.39 cubic yds/ft of wall
NOTE: The engineer shall verify that the computed bearing pressures below the wall do not exceed the allowable foundation bearing pressure, or, perform a bearing capacity analysis using the program CBEAR. Also, the engineer shall verify that the base pressures do not result in excessive differential settlement of the wall foundation.
*********************** ** Sliding Results ** ***********************
Factor of safety > 100. Last iteration printed.
Horizontal Vertical Wedge Loads Loads Number (kips) (kips) ================================== 1 0.000 0.000 2 1.972 0.360 3 0.000 0.000
Water pressures on wedges:
Top Bottom Wedge press. press. x‐coord. press. number (ksf) (ksf) (ft) (ksf) ================================================ 1 0.0000 0.0000 2 0.0000 0.4961 2 12.0000 0.1619 3 0.0000 0.1619
Points of sliding plane: Point 1 (left), x = 0.00 ft, y = 724.25 ft Point 2 (right), x = 12.00 ft, y = 726.00 ft
Depth of cracking = 7.25 ft Crack extends to bottom of base of structure.
Failure Total Weight Submerged Uplift
Page 7
RailroadClosure_11ft_Usual.out.txt Wedge angle length of wedge length force number (deg) (ft) (kips) (ft) (kips) ======================================================== 1 0.000 0.000 0.000 0.000 0.000 2 8.297 12.127 11.340 12.127 3.990 3 44.956 7.784 1.867 2.831 0.229
Wedge Net force number (kips) =================== 1 0.000 2 ‐0.253 3 1.870 =================== SUM = 1.616
+‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+ | Factor of safety = 407.917 | +‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+
*********************** ** Bearing Results ** ***********************
Base width = 12.127 (ft) Xr = 5.009 (ft) Effective base width = 10.123 (ft) (measured along slope) Base slope = 8.2971 (deg)
phi = 32.000 (deg) c = 0.000 (ksf) Effective gamma = 0.0626 (kcf)
Normal load = 7.430 (kips) Load inclination = 0.876 (deg) Load eccentricity = 1.002 (ft)
Surcharge = 0.5557 (ksf) Embedment = 5.500 (ft) Ground slope = 0.0000 (deg)
Bearing Capacity Factors =============================================
Page 8
RailroadClosure_11ft_Usual.out.txt C Q G ============================================= Bearing 35.4903 23.1768 22.0225 Embedment 1.1960 1.0980 1.0980 Inclination 0.9806 0.9806 0.9460 Base Tilt 0.8194 0.8272 0.8272 Ground Slope 1.0000 1.0000 1.0000
Net ultimate bearing pressure = 16.9725 (ksf)
+‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+ | Factor of safety = 23.125 | +‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+
Page 9
RailroadClosure_11ft_Unusual_Construction.out.txt
****************** Echoprint of Input Data ******************
Date: 2019/10/ 3 Time: 10.50.30
Arcadia Railroad Closure, Height 11 ft, No Sheetpile Unusual Construction Case, Cracked, Design Flood EL Check Design
Company name: USACE Project name: Arcadia Feasibility Study Project location: Arcadia, Wisconsin Wall location: Railroad Closure, Height 11 ft. Computed by: CNO
Structural geometry data: Elevation of top of stem (ELTS) = 737.00 ft Height of stem (HTS) = 9.00 ft Thickness top of stem (TTS) = 1.25 ft Thickness bottom of stem (TBS) = 1.25 ft Dist. of batter at bot. of stem (TBSR)= 0.00 ft Depth of heel (THEEL) = 3.75 ft Distance of batter for heel (BTRH) = 0.00 ft Depth of toe (TTOE) = 2.00 ft Width of toe (TWIDTH) = 2.50 ft Distance of batter for toe (BTRT) = 0.00 ft Width of base (BWIDTH) = 12.00 ft Depth of key (HK) = 1.75 ft Width of bottom of key (TK) = 1.25 ft Dist. of batter at bot. of key (BTRK) = 0.00 ft
Structure coordinates:
x (ft) y (ft) ================== 0.00 724.25 0.00 728.00 8.25 728.00 8.25 737.00 9.50 737.00 9.50 728.00
Page 1
RailroadClosure_11ft_Unusual_Construction.out.txt 12.00 728.00 12.00 726.00 1.25 726.00 1.25 724.25
NOTE: X=0 is located at the left‐hand side of the structure. The Y values correspond to the actual elevation used.
Structural property data: Unit weight of concrete = 0.150 kcf
Driving side soil property data:
Moist Saturated Elev. Phi c Unit wt. unit wt. Delta soil (deg) (ksf) (kcf) (kcf) (deg) (ft) ======================================================= 32.00 0.000 0.123 0.125 0.00 731.50
Driving side soil geometry:
Soil Batter Distance point (in:1ft) (ft) ============================= 1 0.00 0.00 2 0.00 0.00 3 0.00 500.00
Driving side soil profile:
Soil x y point (ft) (ft) ============================= 1 ‐991.75 731.50 2 8.25 731.50
Resisting side soil property data:
Moist Saturated Elev. Phi c Unit wt. unit wt. soil Batter (deg) (ksf) (kcf) (kcf) (ft) (in:1ft) ======================================================== 32.00 0.000 0.123 0.125 731.50 0.00
Resisting side soil profile:
Soil x y
Page 2
RailroadClosure_11ft_Unusual_Construction.out.txt point (ft) (ft) ============================= 1 9.50 731.50 2 509.50 731.50
Foundation property data: phi for soil‐structure interface = 32.00 (deg) c for soil‐structure interface = 0.000 (ksf) phi for soil‐soil interface = 32.00 (deg) c for soil‐soil interface = 0.000 (ksf)
Water data: Driving side elevation = 736.20 ft Resisting side elevation = 728.00 ft Unit weight of water = 0.0624 kcf Seepage pressures computed by Line of Creep method.
Uniform load data: Magnitude of load = 0.2500 k/ft
Minimum required factors of safety: Sliding FS = 1.50 Overturning = 75.00% base in compression
Crack options: o Crack *is* down to bottom of heel o Computed cracks *will* be filled with water
All computed failure angles are based on 45+‐(phi developed)/2 Note: Any wedge angles that are 'set' are not affected by this option.
Strength mobilization factor = 0.6667
Resisting side pressures *are not* used in the overturning analysis.
Forces on the resisting side *are used* in the sliding analysis.
*Do* iterate in overturning analysis.
***** Summary of Results *****
Arcadia Railroad Closure, Height 11 ft, No Sheetpile
Project name: Arcadia Feasibility Study
Page 3
RailroadClosure_11ft_Unusual_Construction.out.txt *************** *** Satisfied *** * Overturning * Required base in comp. = 75.00 % *************** Actual base in comp. = 100.00 % Overturning ratio = 2.08
Xr (measured from toe) = 4.75 ft Resultant ratio = 0.3962 Stem ratio = 0.2083 Base pressure at heel = 0.3115 ksf Base pressure at toe = 1.3402 ksf
*********** *** Satisfied *** * Sliding * Min. Required = 1.50 *********** Actual FS = 30.43
*********** * Bearing * ***********
Net ultimate bearing pressure = 12.4915 (ksf) Factor of safety = 11.725
********************** Output Results **********************
Date: 2019/10/ 3 Time: 10.50.30
Arcadia Railroad Closure, Height 11 ft, No Sheetpile Unusual Construction Case, Cracked, Design Flood EL Check Design
Company name: USACE Project name: Arcadia Feasibility Study Project location: Arcadia, Wisconsin Wall location: Railroad Closure, Height 11 ft. Computed by: CNO
*************************** ** Overturning Results ** ***************************
Solution converged in 1 iterations.
Page 4
RailroadClosure_11ft_Unusual_Construction.out.txt
SMF used to calculate K's = 0.6667 Alpha for the SMF = 0.0000 Calculated earth pressure coefficients: Driving side at rest K = 0.0000 Driving side at rest Kc = 0.0000 Resisting side at rest K = 0.0000 Resisting side at rest Kc = 0.0000 No passive pressures used for resisting side.
Depth of cracking = 7.25 ft Crack extends to bottom of base of structure.
** Driving side pressures **
Water pressures: Elevation Pressure (ft) (ksf) ====================== 736.20 0.0000 724.25 0.7457
Surcharge pressures: Elev. Press. (ft) (ksf) ===================
** Resisting side pressures **
Water pressures: Elevation Pressure (ft) (ksf) ====================== 728.00 0.0000 726.00 0.1972 726.00 0.7057 724.25 0.7457
Balancing earth pressures: Elevation Pressure (ft) (ksf) ====================== 726.00 1.7076 724.25 1.7076
** Uplift pressures **
Water pressures:
Page 5
RailroadClosure_11ft_Unusual_Construction.out.txt x‐coord. Pressure (ft) (ksf) ====================== 0.00 0.7457 1.25 0.7057 1.25 0.5406 12.00 0.1972
** Forces and moments **
======================================================================== Part | Force (kips) | Mom. Arm | Moment | | Vert. | Horiz.| (ft) | (ft‐k) | ======================================================================== Structure: Structure weight........... 5.616 ‐5.45 ‐30.61 Structure, driving side: Moist soil................. 0.000 0.00 0.00 Saturated soil............. 3.609 ‐7.88 ‐28.42 Water above structure...... 0.000 0.00 0.00 Water above soil........... 2.420 ‐7.87 ‐19.05 External vertical loads.... 2.062 ‐7.88 ‐16.24 Ext. horz. pressure loads.. 0.000 0.00 0.00 Ext. horz. line loads...... 0.000 0.00 0.00 Structure, resisting side: Moist soil................. 1.076 ‐1.25 ‐1.35 Saturated soil............. 0.000 0.00 0.00 Water above structure...... 0.000 0.00 0.00 Water above soil........... 0.000 0.00 0.00 Driving side: Effective earth loads...... 0.000 0.00 0.00 Shear (due to delta)....... 0.000 0.00 0.00 Horiz. surcharge effects... 0.000 0.00 0.00 Water loads................ 4.455 2.24 9.97 Resisting side: Effective earth loads...... 0.000 0.00 0.00 Balancing earth load....... ‐2.988 ‐0.89 2.65 Water loads................ ‐1.467 ‐0.67 0.99 Foundation: Vertical force on base..... ‐9.910 ‐4.75 47.12 Uplift..................... ‐4.873 ‐7.17 34.95 ======================================================================== ** Statics Check ** SUMS = 0.000 0.000 0.00
Angle of base = 8.30 degrees Normal force on base = 10.238 kips Shear force on base = 1.527 kips Max. available shear force = 7.040 kips
Page 6
RailroadClosure_11ft_Unusual_Construction.out.txt
Base pressure at heel = 0.3115 ksf Base pressure at toe = 1.3402 ksf
Xr (measured from toe) = 4.75 ft Resultant ratio = 0.3962 Stem ratio = 0.2083 Base in compression = 100.00 % Overturning ratio = 2.08
Volume of concrete = 1.39 cubic yds/ft of wall
NOTE: The engineer shall verify that the computed bearing pressures below the wall do not exceed the allowable foundation bearing pressure, or, perform a bearing capacity analysis using the program CBEAR. Also, the engineer shall verify that the base pressures do not result in excessive differential settlement of the wall foundation.
*********************** ** Sliding Results ** ***********************
Solution converged. Summation of forces = 0.
Horizontal Vertical Wedge Loads Loads Number (kips) (kips) ================================== 1 0.000 0.000 2 4.455 4.482 3 0.000 0.000
Water pressures on wedges:
Top Bottom Wedge press. press. x‐coord. press. number (ksf) (ksf) (ft) (ksf) ================================================ 1 0.0000 0.0000 2 0.0000 0.7457 2 12.0000 0.1972 3 0.0000 0.1972
Page 7
RailroadClosure_11ft_Unusual_Construction.out.txt Points of sliding plane: Point 1 (left), x = 0.00 ft, y = 724.25 ft Point 2 (right), x = 12.00 ft, y = 726.00 ft
Depth of cracking = 7.25 ft Crack extends to bottom of base of structure.
Failure Total Weight Submerged Uplift Wedge angle length of wedge length force number (deg) (ft) (kips) (ft) (kips) ======================================================== 1 0.000 0.000 0.000 0.000 0.000 2 8.297 12.127 11.340 12.127 5.717 3 44.412 7.859 1.903 2.858 0.282
Wedge Net force number (kips) =================== 1 0.000 2 ‐1.934 3 1.934 =================== SUM = 0.000
+‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+ | Factor of safety = 30.433 | +‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+
*********************** ** Bearing Results ** ***********************
Base width = 12.127 (ft) Xr = 4.754 (ft) Effective base width = 9.609 (ft) (measured along slope) Base slope = 8.2971 (deg)
phi = 32.000 (deg) c = 0.000 (ksf) Effective gamma = 0.0626 (kcf)
Normal load = 10.238 (kips) Load inclination = 8.483 (deg) Load eccentricity = 1.259 (ft)
Page 8
RailroadClosure_11ft_Unusual_Construction.out.txt
Surcharge = 0.5557 (ksf) Embedment = 5.500 (ft) Ground slope = 0.0000 (deg)
Bearing Capacity Factors ============================================= C Q G ============================================= Bearing 35.4903 23.1768 22.0225 Embedment 1.2065 1.1033 1.1033 Inclination 0.8204 0.8204 0.5401 Base Tilt 0.8194 0.8272 0.8272 Ground Slope 1.0000 1.0000 1.0000
Net ultimate bearing pressure = 12.4915 (ksf)
+‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+ | Factor of safety = 11.725 | +‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+
Page 9
RailroadClosure_11ft_Unusual.out.txt
****************** Echoprint of Input Data ******************
Date: 2019/10/ 3 Time: 10.45.14
Arcadia Railroad Closure, Height 11 ft, No Sheetpile Unusual Case, Cracked, Water Design Flood EL Check Design
Company name: USACE Project name: Arcadia Feasibility Study Project location: Arcadia, Wisconsin Wall location: Railroad Closure, Height 11 ft. Computed by: CNO
Structural geometry data: Elevation of top of stem (ELTS) = 737.00 ft Height of stem (HTS) = 9.00 ft Thickness top of stem (TTS) = 1.25 ft Thickness bottom of stem (TBS) = 1.25 ft Dist. of batter at bot. of stem (TBSR)= 0.00 ft Depth of heel (THEEL) = 3.75 ft Distance of batter for heel (BTRH) = 0.00 ft Depth of toe (TTOE) = 2.00 ft Width of toe (TWIDTH) = 2.50 ft Distance of batter for toe (BTRT) = 0.00 ft Width of base (BWIDTH) = 12.00 ft Depth of key (HK) = 1.75 ft Width of bottom of key (TK) = 1.25 ft Dist. of batter at bot. of key (BTRK) = 0.00 ft
Structure coordinates:
x (ft) y (ft) ================== 0.00 724.25 0.00 728.00 8.25 728.00 8.25 737.00 9.50 737.00 9.50 728.00
Page 1
RailroadClosure_11ft_Unusual.out.txt 12.00 728.00 12.00 726.00 1.25 726.00 1.25 724.25
NOTE: X=0 is located at the left‐hand side of the structure. The Y values correspond to the actual elevation used.
Structural property data: Unit weight of concrete = 0.150 kcf
Driving side soil property data:
Moist Saturated Elev. Phi c Unit wt. unit wt. Delta soil (deg) (ksf) (kcf) (kcf) (deg) (ft) ======================================================= 32.00 0.000 0.123 0.125 0.00 731.50
Driving side soil geometry:
Soil Batter Distance point (in:1ft) (ft) ============================= 1 0.00 0.00 2 0.00 0.00 3 0.00 500.00
Driving side soil profile:
Soil x y point (ft) (ft) ============================= 1 ‐991.75 731.50 2 8.25 731.50
Resisting side soil property data:
Moist Saturated Elev. Phi c Unit wt. unit wt. soil Batter (deg) (ksf) (kcf) (kcf) (ft) (in:1ft) ======================================================== 32.00 0.000 0.123 0.125 731.50 0.00
Resisting side soil profile:
Soil x y
Page 2
RailroadClosure_11ft_Unusual.out.txt point (ft) (ft) ============================= 1 9.50 731.50 2 509.50 731.50
Foundation property data: phi for soil‐structure interface = 32.00 (deg) c for soil‐structure interface = 0.000 (ksf) phi for soil‐soil interface = 32.00 (deg) c for soil‐soil interface = 0.000 (ksf)
Water data: Driving side elevation = 736.20 ft Resisting side elevation = 728.00 ft Unit weight of water = 0.0624 kcf Seepage pressures computed by Line of Creep method.
Horizontal line load data:
Elevation Force (ft) (kips) ======================== 736.20 0.50
Minimum required factors of safety: Sliding FS = 1.50 Overturning = 75.00% base in compression
Crack options: o Crack *is* down to bottom of heel o Computed cracks *will* be filled with water
All computed failure angles are based on 45+‐(phi developed)/2 Note: Any wedge angles that are 'set' are not affected by this option.
Strength mobilization factor = 0.6667
Resisting side pressures *are not* used in the overturning analysis.
Forces on the resisting side *are used* in the sliding analysis.
*Do* iterate in overturning analysis.
***** Summary of Results *****
Page 3
RailroadClosure_11ft_Unusual.out.txt Arcadia Railroad Closure, Height 11 ft, No Sheetpile
Project name: Arcadia Feasibility Study
*************** *** Satisfied *** * Overturning * Required base in comp. = 75.00 % *************** Actual base in comp. = 80.99 % Overturning ratio = 1.56
Xr (measured from toe) = 3.24 ft Resultant ratio = 0.2700 Stem ratio = 0.2083 Base pressure at x= 9.72 ft from toe = 0.0000 ksf Base pressure at toe = 1.6148 ksf
*********** *** Satisfied *** * Sliding * Min. Required = 1.50 *********** Actual FS = 6.93
*********** * Bearing * ***********
Net ultimate bearing pressure = 9.1274 (ksf) Factor of safety = 7.228
********************** Output Results **********************
Date: 2019/10/ 3 Time: 10.45.14
Arcadia Railroad Closure, Height 11 ft, No Sheetpile Unusual Case, Cracked, Water Design Flood EL Check Design
Company name: USACE Project name: Arcadia Feasibility Study Project location: Arcadia, Wisconsin Wall location: Railroad Closure, Height 11 ft. Computed by: CNO
***************************
Page 4
RailroadClosure_11ft_Unusual.out.txt ** Overturning Results ** ***************************
Solution converged in 1 iterations.
SMF used to calculate K's = 0.6667 Alpha for the SMF = 0.0000 Calculated earth pressure coefficients: Driving side at rest K = 0.0000 Driving side at rest Kc = 0.0000 Resisting side at rest K = 0.0000 Resisting side at rest Kc = 0.0000 No passive pressures used for resisting side.
Depth of cracking = 7.25 ft Crack extends to bottom of base of structure.
** Driving side pressures **
Water pressures: Elevation Pressure (ft) (ksf) ====================== 736.20 0.0000 724.25 0.7457
** Resisting side pressures **
Water pressures: Elevation Pressure (ft) (ksf) ====================== 728.00 0.0000 726.00 0.1972 726.00 0.7057 724.25 0.7457
Balancing earth pressures: Elevation Pressure (ft) (ksf) ====================== 726.00 1.9933 724.25 1.9933
** Uplift pressures **
Water pressures: x‐coord. Pressure
Page 5
RailroadClosure_11ft_Unusual.out.txt (ft) (ksf) ====================== 0.00 0.7457 1.25 0.7057 1.25 0.5406 12.00 0.1972
** Forces and moments **
======================================================================== Part | Force (kips) | Mom. Arm | Moment | | Vert. | Horiz.| (ft) | (ft‐k) | ======================================================================== Structure: Structure weight........... 5.616 ‐5.45 ‐30.61 Structure, driving side: Moist soil................. 0.000 0.00 0.00 Saturated soil............. 3.609 ‐7.88 ‐28.42 Water above structure...... 0.000 0.00 0.00 Water above soil........... 2.420 ‐7.87 ‐19.05 External vertical loads.... 0.000 0.00 0.00 Ext. horz. pressure loads.. 0.000 0.00 0.00 Ext. horz. line loads...... 0.500 10.20 5.10 Structure, resisting side: Moist soil................. 1.076 ‐1.25 ‐1.35 Saturated soil............. 0.000 0.00 0.00 Water above structure...... 0.000 0.00 0.00 Water above soil........... 0.000 0.00 0.00 Driving side: Effective earth loads...... 0.000 0.00 0.00 Shear (due to delta)....... 0.000 0.00 0.00 Horiz. surcharge effects... 0.000 0.00 0.00 Water loads................ 4.455 2.24 9.97 Resisting side: Effective earth loads...... 0.000 0.00 0.00 Balancing earth load....... ‐3.488 ‐0.86 3.00 Water loads................ ‐1.467 ‐0.67 0.99 Foundation: Vertical force on base..... ‐7.848 ‐3.24 25.42 Uplift..................... ‐4.873 ‐7.17 34.95 ======================================================================== ** Statics Check ** SUMS = 0.000 0.000 0.00
Angle of base = 8.30 degrees Normal force on base = 8.269 kips Shear force on base = 2.319 kips Max. available shear force = 5.809 kips
Page 6
RailroadClosure_11ft_Unusual.out.txt Base pressure at x= 9.72 ft from toe = 0.0000 ksf Base pressure at toe = 1.6148 ksf
Xr (measured from toe) = 3.24 ft Resultant ratio = 0.2700 Stem ratio = 0.2083 Base in compression = 80.99 % Overturning ratio = 1.56
Volume of concrete = 1.39 cubic yds/ft of wall
NOTE: The engineer shall verify that the computed bearing pressures below the wall do not exceed the allowable foundation bearing pressure, or, perform a bearing capacity analysis using the program CBEAR. Also, the engineer shall verify that the base pressures do not result in excessive differential settlement of the wall foundation.
*********************** ** Sliding Results ** ***********************
Solution converged. Summation of forces = 0.
Horizontal Vertical Wedge Loads Loads Number (kips) (kips) ================================== 1 0.000 0.000 2 4.955 2.420 3 0.000 0.000
Water pressures on wedges:
Top Bottom Wedge press. press. x‐coord. press. number (ksf) (ksf) (ft) (ksf) ================================================ 1 0.0000 0.0000 2 0.0000 0.7457 2 12.0000 0.1972 3 0.0000 0.1972
Points of sliding plane:
Page 7
RailroadClosure_11ft_Unusual.out.txt Point 1 (left), x = 0.00 ft, y = 724.25 ft Point 2 (right), x = 12.00 ft, y = 726.00 ft
Depth of cracking = 7.25 ft Crack extends to bottom of base of structure.
Failure Total Weight Submerged Uplift Wedge angle length of wedge length force number (deg) (ft) (kips) (ft) (kips) ======================================================== 1 0.000 0.000 0.000 0.000 0.000 2 8.297 12.127 11.340 12.127 5.717 3 42.425 8.153 2.040 2.965 0.292
Wedge Net force number (kips) =================== 1 0.000 2 ‐2.193 3 2.193 =================== SUM = 0.000
+‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+ | Factor of safety = 6.934 | +‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+
*********************** ** Bearing Results ** ***********************
Base width = 12.127 (ft) Xr = 3.240 (ft) Effective base width = 6.548 (ft) (measured along slope) Base slope = 8.2971 (deg)
phi = 32.000 (deg) c = 0.000 (ksf) Effective gamma = 0.0626 (kcf)
Normal load = 8.269 (kips) Load inclination = 15.668 (deg) Load eccentricity = 2.789 (ft)
Page 8
RailroadClosure_11ft_Unusual.out.txt Surcharge = 0.5557 (ksf) Embedment = 5.500 (ft) Ground slope = 0.0000 (deg)
Bearing Capacity Factors ============================================= C Q G ============================================= Bearing 35.4903 23.1768 22.0225 Embedment 1.3031 1.1515 1.1515 Inclination 0.6821 0.6821 0.2605 Base Tilt 0.8194 0.8272 0.8272 Ground Slope 1.0000 1.0000 1.0000
Net ultimate bearing pressure = 9.1274 (ksf)
+‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+ | Factor of safety = 7.228 | +‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+
Page 9
RailroadClosure_11ft_Extreme.out.txt
****************** Echoprint of Input Data ******************
Date: 2019/10/ 3 Time: 10.54.03
Arcadia Railroad Closure, Height 11 ft, No Sheetpile Extreme Case, Cracked, Water Top of Closure w Superiority Check Design
Company name: USACE Project name: Arcadia Feasibility Study Project location: Arcadia, Wisconsin Wall location: Railroad Closure, Height 11 ft. Computed by: CNO
Structural geometry data: Elevation of top of stem (ELTS) = 737.00 ft Height of stem (HTS) = 9.00 ft Thickness top of stem (TTS) = 1.25 ft Thickness bottom of stem (TBS) = 1.25 ft Dist. of batter at bot. of stem (TBSR)= 0.00 ft Depth of heel (THEEL) = 3.75 ft Distance of batter for heel (BTRH) = 0.00 ft Depth of toe (TTOE) = 2.00 ft Width of toe (TWIDTH) = 2.50 ft Distance of batter for toe (BTRT) = 0.00 ft Width of base (BWIDTH) = 12.00 ft Depth of key (HK) = 1.75 ft Width of bottom of key (TK) = 1.25 ft Dist. of batter at bot. of key (BTRK) = 0.00 ft
Structure coordinates:
x (ft) y (ft) ================== 0.00 724.25 0.00 728.00 8.25 728.00 8.25 737.00 9.50 737.00 9.50 728.00
Page 1
RailroadClosure_11ft_Extreme.out.txt 12.00 728.00 12.00 726.00 1.25 726.00 1.25 724.25
NOTE: X=0 is located at the left‐hand side of the structure. The Y values correspond to the actual elevation used.
Structural property data: Unit weight of concrete = 0.150 kcf
Driving side soil property data:
Moist Saturated Elev. Phi c Unit wt. unit wt. Delta soil (deg) (ksf) (kcf) (kcf) (deg) (ft) ======================================================= 32.00 0.000 0.123 0.125 0.00 731.50
Driving side soil geometry:
Soil Batter Distance point (in:1ft) (ft) ============================= 1 0.00 0.00 2 0.00 0.00 3 0.00 500.00
Driving side soil profile:
Soil x y point (ft) (ft) ============================= 1 ‐991.75 731.50 2 8.25 731.50
Resisting side soil property data:
Moist Saturated Elev. Phi c Unit wt. unit wt. soil Batter (deg) (ksf) (kcf) (kcf) (ft) (in:1ft) ======================================================== 32.00 0.000 0.123 0.125 731.50 0.00
Resisting side soil profile:
Soil x y
Page 2
RailroadClosure_11ft_Extreme.out.txt point (ft) (ft) ============================= 1 9.50 731.50 2 509.50 731.50
Foundation property data: phi for soil‐structure interface = 32.00 (deg) c for soil‐structure interface = 0.000 (ksf) phi for soil‐soil interface = 32.00 (deg) c for soil‐soil interface = 0.000 (ksf)
Water data: Driving side elevation = 736.70 ft Resisting side elevation = 728.00 ft Unit weight of water = 0.0624 kcf Seepage pressures computed by Line of Creep method.
Minimum required factors of safety: Sliding FS = 1.10 Overturning = 0.00% base in compression
Crack options: o Crack *is* down to bottom of heel o Computed cracks *will* be filled with water
All computed failure angles are based on 45+‐(phi developed)/2 Note: Any wedge angles that are 'set' are not affected by this option.
Strength mobilization factor = 0.6667
Resisting side pressures *are not* used in the overturning analysis.
Forces on the resisting side *are used* in the sliding analysis.
*Do* iterate in overturning analysis.
***** Summary of Results *****
Arcadia Railroad Closure, Height 11 ft, No Sheetpile
Project name: Arcadia Feasibility Study
*************** *** Satisfied *** * Overturning * Required base in comp. = 0.00 % *************** Actual base in comp. = 93.32 %
Page 3
RailroadClosure_11ft_Extreme.out.txt Overturning ratio = 1.66
Xr (measured from toe) = 3.73 ft Resultant ratio = 0.3111 Stem ratio = 0.2083 Base pressure at x= 11.20 ft from toe = 0.0000 ksf Base pressure at toe = 1.4123 ksf
*********** *** Satisfied *** * Sliding * Min. Required = 1.10 *********** Actual FS = 8.09
*********** * Bearing * ***********
Net ultimate bearing pressure = 9.6005 (ksf) Factor of safety = 8.724
********************** Output Results **********************
Date: 2019/10/ 3 Time: 10.54.03
Arcadia Railroad Closure, Height 11 ft, No Sheetpile Extreme Case, Cracked, Water Top of Closure w Superiority Check Design
Company name: USACE Project name: Arcadia Feasibility Study Project location: Arcadia, Wisconsin Wall location: Railroad Closure, Height 11 ft. Computed by: CNO
*************************** ** Overturning Results ** ***************************
Solution converged in 1 iterations.
SMF used to calculate K's = 0.6667 Alpha for the SMF = 0.0000
Page 4
RailroadClosure_11ft_Extreme.out.txt Calculated earth pressure coefficients: Driving side at rest K = 0.0000 Driving side at rest Kc = 0.0000 Resisting side at rest K = 0.0000 Resisting side at rest Kc = 0.0000 No passive pressures used for resisting side.
Depth of cracking = 7.25 ft Crack extends to bottom of base of structure.
** Driving side pressures **
Water pressures: Elevation Pressure (ft) (ksf) ====================== 736.70 0.0000 724.25 0.7769
** Resisting side pressures **
Water pressures: Elevation Pressure (ft) (ksf) ====================== 728.00 0.0000 726.00 0.2017 726.00 0.7345 724.25 0.7769
Balancing earth pressures: Elevation Pressure (ft) (ksf) ====================== 726.00 1.8925 724.25 1.8925
** Uplift pressures **
Water pressures: x‐coord. Pressure (ft) (ksf) ====================== 0.00 0.7769 1.25 0.7345 1.25 0.5660 12.00 0.2017
Page 5
RailroadClosure_11ft_Extreme.out.txt ** Forces and moments **
======================================================================== Part | Force (kips) | Mom. Arm | Moment | | Vert. | Horiz.| (ft) | (ft‐k) | ======================================================================== Structure: Structure weight........... 5.616 ‐5.45 ‐30.61 Structure, driving side: Moist soil................. 0.000 0.00 0.00 Saturated soil............. 3.609 ‐7.88 ‐28.42 Water above structure...... 0.000 0.00 0.00 Water above soil........... 2.677 ‐7.87 ‐21.08 External vertical loads.... 0.000 0.00 0.00 Ext. horz. pressure loads.. 0.000 0.00 0.00 Ext. horz. line loads...... 0.000 0.00 0.00 Structure, resisting side: Moist soil................. 1.076 ‐1.25 ‐1.35 Saturated soil............. 0.000 0.00 0.00 Water above structure...... 0.000 0.00 0.00 Water above soil........... 0.000 0.00 0.00 Driving side: Effective earth loads...... 0.000 0.00 0.00 Shear (due to delta)....... 0.000 0.00 0.00 Horiz. surcharge effects... 0.000 0.00 0.00 Water loads................ 4.836 2.40 11.63 Resisting side: Effective earth loads...... 0.000 0.00 0.00 Balancing earth load....... ‐3.312 ‐0.86 2.84 Water loads................ ‐1.524 ‐0.68 1.03 Foundation: Vertical force on base..... ‐7.907 ‐3.73 29.52 Uplift..................... ‐5.071 ‐7.19 36.44 ======================================================================== ** Statics Check ** SUMS = 0.000 0.000 0.00
Angle of base = 8.30 degrees Normal force on base = 8.303 kips Shear force on base = 2.136 kips Max. available shear force = 5.831 kips
Base pressure at x= 11.20 ft from toe = 0.0000 ksf Base pressure at toe = 1.4123 ksf
Xr (measured from toe) = 3.73 ft Resultant ratio = 0.3111 Stem ratio = 0.2083 Base in compression = 93.32 %
Page 6
RailroadClosure_11ft_Extreme.out.txt Overturning ratio = 1.66
Volume of concrete = 1.39 cubic yds/ft of wall
NOTE: The engineer shall verify that the computed bearing pressures below the wall do not exceed the allowable foundation bearing pressure, or, perform a bearing capacity analysis using the program CBEAR. Also, the engineer shall verify that the base pressures do not result in excessive differential settlement of the wall foundation.
*********************** ** Sliding Results ** ***********************
Solution converged. Summation of forces = 0.
Horizontal Vertical Wedge Loads Loads Number (kips) (kips) ================================== 1 0.000 0.000 2 4.836 2.677 3 0.000 0.000
Water pressures on wedges:
Top Bottom Wedge press. press. x‐coord. press. number (ksf) (ksf) (ft) (ksf) ================================================ 1 0.0000 0.0000 2 0.0000 0.7769 2 12.0000 0.2017 3 0.0000 0.2017
Points of sliding plane: Point 1 (left), x = 0.00 ft, y = 724.25 ft Point 2 (right), x = 12.00 ft, y = 726.00 ft
Depth of cracking = 7.25 ft Crack extends to bottom of base of structure.
Failure Total Weight Submerged Uplift
Page 7
RailroadClosure_11ft_Extreme.out.txt Wedge angle length of wedge length force number (deg) (ft) (kips) (ft) (kips) ======================================================== 1 0.000 0.000 0.000 0.000 0.000 2 8.297 12.127 11.340 12.127 5.933 3 42.791 8.096 2.014 2.944 0.297
Wedge Net force number (kips) =================== 1 0.000 2 ‐2.142 3 2.142 =================== SUM = 0.000
+‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+ | Factor of safety = 8.087 | +‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+
*********************** ** Bearing Results ** ***********************
Base width = 12.127 (ft) Xr = 3.733 (ft) Effective base width = 7.544 (ft) (measured along slope) Base slope = 8.2971 (deg)
phi = 32.000 (deg) c = 0.000 (ksf) Effective gamma = 0.0626 (kcf)
Normal load = 8.303 (kips) Load inclination = 14.429 (deg) Load eccentricity = 2.291 (ft)
Surcharge = 0.5557 (ksf) Embedment = 5.500 (ft) Ground slope = 0.0000 (deg)
Bearing Capacity Factors =============================================
Page 8
RailroadClosure_11ft_Extreme.out.txt C Q G ============================================= Bearing 35.4903 23.1768 22.0225 Embedment 1.2630 1.1315 1.1315 Inclination 0.7051 0.7051 0.3015 Base Tilt 0.8194 0.8272 0.8272 Ground Slope 1.0000 1.0000 1.0000
Net ultimate bearing pressure = 9.6005 (ksf)
+‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+ | Factor of safety = 8.724 | +‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐+
Page 9
1
Nunez-Orta, Coralys N CIV USARMY USACE (USA)
From: Foss, Jason R CIV USARMY CEMVP (USA)Sent: Tuesday, July 23, 2019 09:56To: Fares, Tony S CIV USARMY CEMVP (USA)Cc: Nunez-Orta, Coralys N CIV USARMY USACE (USA)Subject: RE: Arcadia Soil Parameters
Tony, Typical geologic section in Arcadia has 3 to 8 feet of finer grained blanket underlain by 80 to 100 feet of fine grained alluvial sand aquifer. The geologic setting is quite variable though, making it hard to define a typical section. Here’s what I’ve been using so far:
Name Sat. Unit Weight
Moist Unit Weight Cohesion Phi
Fine Grained Alluvial Sands (aquifer) 120 118 0 30
Fine Grained Blanket (Lean Clay) 117 116 0 34
Levee Fill 125 123 0 32
Let me know if you have questions. Jason 651.290.5583
From: Fares, Tony S CIV USARMY CEMVP (USA) Sent: Wednesday, July 17, 2019 3:46 PM To: Foss, Jason R CIV USARMY CEMVP (USA) <[email protected]> Cc: Nunez‐Orta, Coralys N CIV USARMY USACE (USA) <Coralys.N.Nunez‐[email protected]> Subject: Arcadia Soil Parameters
Hi Jason, Please provide soil parameters to be used in the design of floodwalls and closures. Such as: Soil Parameters
Soil parameters established for Arcadia and used in the structure design are defined in Table 1-9.
Table 1-9 Structural Soil Parameters
Parameter Value
Moist Unit Weight (pcf) 115
Saturated Unit Weight (pcf) 120
Friction Angle (deg) 30
Cohesion (psf) 0
Thanks
2
Tony S. Fares, P.E. Structural Engineer 651‐290‐5568 (office) 651‐290‐5825 (fax) [email protected]
1
Nunez-Orta, Coralys N CIV USARMY USACE (USA)
From: Dessner, Amy J CIV USARMY CEMVP (US)Sent: Thursday, July 18, 2019 09:17To: Fares, Tony S CIV USARMY CEMVP (USA)Cc: Nunez-Orta, Coralys N CIV USARMY USACE (USA)Subject: RE: Arcadia Water Elevations
Tony, Please see below and let me know if you need any further information. Amy
HEC-RAS 1% AEP
Design Flood
Elevation (100 yr + 3)
Top of wall w.
Superiority Structure Station
RR bridge 3078.974 733.2 736.2 736.7
River Street 17539.2 731.4 734.4 734.9
Main Street 17243.55 730.5 733.5 734.9
From: Fares, Tony S CIV USARMY CEMVP (USA) Sent: Wednesday, July 17, 2019 2:02 PM To: Dessner, Amy J CIV USARMY CEMVP (US) <[email protected]> Cc: Nunez‐Orta, Coralys N CIV USARMY USACE (USA) <Coralys.N.Nunez‐[email protected]> Subject: Arcadia Water Elevations
Amy, We are refining our wall sections and closures design for the 100 year +3'. We will select the structures sizes to meet stability and strength based on performance objectives for hydraulic structures. These performance objectives will be adopted from Table 1 of ECB 2017‐2 for critical sections following the intent of guidance in EM 1110‐2‐2502 and EM 1110‐2‐2607. The tables below is from different project.
Table 1-2 Load Categories to Satisfy Performance Requirements
Load Condition Categories
Return Period
Annual Exceedance
Probability (AEP)
Water Elevation
Flood Side
Usual 10-Year Event 10% 714.98
Unusual 10- to 750-Year Event 10% - 0.133% 728.40
2
Extreme Greater than 750 years or Top of
Structure
Less than 0.133% 728.60
Water Surface Elevations
The XXX hydraulics models were used to calculate the water surface elevations for the 10 percent annual exceedance probability (AEP), 1 percent AEP, design flood elevation, and minimum design grade surface elevations in support of the structural analysis. The minimum design grade corresponds with the top of levee/wall. A discussion of the hydraulic modeling is presented in Section XX. Water surface elevations used to determine hydrostatic loading on structural features is in Table 1-7.
able 1-7 Structure Flood Elevations
Structure
10% AEP Design Flood Elevation (2)
Top of wall Overtopping (3)
Floodwall, Gate wells, Pump Station, etc…
714.98 728.40 728.60 728.99
Road and Railroad Closure 714.98 728.40 728.60 728.99 714.98 728.40 728.60 728.99
(2) Corresponds to the flood of record?? (3) Corresponds to water upstream??
Structural Superiority Structural superiority for the “Projects” generally involves adding height to project features to control the location of overtopping if a flood event exceeds the capacity of the system thus reducing the potential for scour on the Landside of the structures. This results in the structures being taller than adjacent levee features. Elevations for the minimum design project grade, the top of levee adjacent to structures, and the top of structures with structural superiority are in Table 1-8.
Table 1-8 Structure Elevations
Structure Minimum Design Project Grade
(feet) (1)
Top of Levee at Structure
(feet)
Top of Structure Elevation (feet)
Floodwall, Gate wells, Pump Station, etc..
Road and Railroad Closure
(1) Refer to Table XX
Can you provide similar tables for water elevations for the 100 year + 3’ so we can refine our design of the floodwall sections and the closures? Thanks Tony S. Fares, P.E. Structural Engineer 651‐290‐5568 (office) 651‐290‐5825 (fax) [email protected]
1
Nunez-Orta, Coralys N CIV USARMY USACE (USA)
From: Dessner, Amy J CIV USARMY CEMVP (US)Sent: Wednesday, September 25, 2019 12:23To: Nunez-Orta, Coralys N CIV USARMY USACE (USA)Subject: RE: Load Condition Categories (UNCLASSIFIED)
Sure! 10‐yr water surface elevations RR 732.2 River 728.9 Main 728.5 ‐‐‐‐‐Original Message‐‐‐‐‐ From: Nunez‐Orta, Coralys N CIV USARMY USACE (USA) Sent: Wednesday, September 25, 2019 11:36 AM To: Dessner, Amy J CIV USARMY CEMVP (US) <[email protected]> Subject: RE: Load Condition Categories (UNCLASSIFIED) CLASSIFICATION: UNCLASSIFIED Hey Amy, I'm sorry not explaining it better. Under the EM 2104, the Usual case is for a return period of 10‐years, the Unusual case is for a return period from 10‐750 years (this would be the 1% AEP), and the Extreme for a return period above 750 years or the Top of the Structure (currently using the Top of the Wall with Superiority). Do you happen to have the 10‐year water surface elevations? Thanks, Cora ‐‐‐‐‐Original Message‐‐‐‐‐ From: Dessner, Amy J CIV USARMY CEMVP (US) Sent: Tuesday, September 24, 2019 19:38 To: Nunez‐Orta, Coralys N CIV USARMY USACE (USA) <Coralys.N.Nunez‐[email protected]> Cc: Fares, Tony S CIV USARMY CEMVP (USA) <[email protected]> Subject: RE: Load Condition Categories (UNCLASSIFIED) Hey Cora ‐ The top of levee is generally set at the 100 year (1% AEP) water surface elevation + 3 or 3.5 feet. I hope that helps – I am not familiar with the load condition categories. From: Nunez‐Orta, Coralys N CIV USARMY USACE (USA) Sent: Tuesday, September 24, 2019 12:00 PM To: Dessner, Amy J CIV USARMY CEMVP (US) <[email protected]> Cc: Fares, Tony S CIV USARMY CEMVP (USA) <[email protected]> Subject: Load Condition Categories (UNCLASSIFIED)
2
CLASSIFICATION: UNCLASSIFIED *Switch to HTML Hi Amy, I’m doing a table with the AEP and water elevations that you sent. I’m a bit confused with the Usual load condition. If it’s a 1% AEP, wouldn’t that place it in the Unusual load Case? Water Elevation Flood Side Load Condition Categories Return Period Annual Exceedance Probability (AEP) Calculated Annual Exceedance Probability Railroad Bridge River Street Main Street Usual ≤10‐Year Event 1 ‐ 0.1
3
(≥10%) 1% AEP 733.20’ 731.4’ 730.5’ Unusual (critical) 10‐ to 750‐Year Event 0.1 ‐ 0.00133 (10% ‐ 0.13%) Design Flood Elevation (100 yr. + 3’) 736.2’ 734.4’ 733.5’ Extreme (critical) >750 years or Top of Structure Less than 0.00133 (≤0.133%) Top of Wall w. Superiority 736.7’ 734.9’ 734.9’ Thanks,
4
Coralys "Cora" Núñez Orta, EIT U.S. Army Corps of Engineers St. Paul District, CEMVP‐ECD‐S O: 651‐290‐5512 | C: 787‐463‐6663 CLASSIFICATION: UNCLASSIFIED CLASSIFICATION: UNCLASSIFIED
US Army Corps of Engineers DATE:
10/28/2019
Saint Paul District
CHK BY: TMG
Load Case: Design Flood Elevation (100 yr. + 3 ft.) - Unusual
Design Information: Note: Data located with-in a black box is an input, not a calculated value.
Labels and data below are from an overturning and sliding analysis performed by CTWALL
Top of Stem El 735.00 feet Toe Thickness 1.00 feet
Height of Stem 9.00 feet Toe Width 2.50 feet
Top Stem Thickness 1.00 feet Toe Slope 0.00 feet
Base Stem Thickness 1.00 feet Total Base Width 11.00 feet
Stem Batter 0.00 feet Key Depth 1.50 feet
Heel Thickness 2.50 feet Key Thickness 1.25 feet
Heel Slope 0.00 feet Key Slope 0.00 feet
ACI 318-19
Weight of Water (w) = 62.40 lbs/cu.ft fy = 60 ksi
Water Ele. L. (HwL) = 734.40 feet f'c = 4.0 ksi
Water Ele. R. (HwR) = 726.00 feet modification factor = 1.00
B. Wt. of Soil (b) = 62.60 lbs/cu.ft shear = 0.75 ACI 21.2
Soil Ele. L. (HsL) = 730.50 feet moment = 0.90 ACI 21.2
Soil Ele. R. (HsR) = 730.50 feet Load Condition Factor (LCF) = 0.75
Weight of Conc. (c) = 150.00 lbs/cu.ft Hydraulic Load Factor (HLF) = 1.30
M. Wt. of Soil (b) = 123.00 lbs/cu.ft Load Factor (LF) = 1.70
Ice/Debris = 500.00 lbs/ft Design Load Factor (DLF) = 1.66
Wind load = 0.00 lbs/sf
Bottom of Footing = 723.50 feet
PROJECT TITLE: Arcadia Feasibility Study CMP BY:
CNO
SHEET:
SUBJECT TITLE: Floodwall 10 ft, Unusual Case, Cracked Heel. No Sheetpile
COMPUTER FILE:
.xls
700
705
710
715
720
725
730
-5 5 15 25 35
Concrete Water Soil
700
705
710
715
720
725
730
-5 5 15 25 35
Concrete Water Soil
722.00
724.00
726.00
728.00
730.00
732.00
734.00
736.00
-5 5 15
Concrete Water Soil
Calculations: (STEM)
Moment and Shear
Force due to water (V) = 2.701 kips
Moment at bottom (M) = 10.364 kip-ftPlus Ice/Debris
Flexure Steel Dia. = 0.88 inchesT & S Steel Dia. = 0.88 inches
Required Concrete Cover = 3.00 inchesMinimum Depth based on ShearVu=(DLF)(V) ==> Vu = 4.48 kips Vu<(phi shear(Vc)= ACI 22.5.1.2
9.75 kips > Vu = 4.48 kips OKslab
d min = 3.93 in [Vu/(phi shear)(2)(l mod fctr)(sqrt(f'c))(bw)] ACI 22.5.5.1Actual depth d = 8.56
Vc = 9.75 kips =(phi shear)(l mod fctr)(2)(sqrt(f'c))(b d)] ACI 22.5.5.1As Maximum max = .25 balanced EM 1110-2-2104
1= 0.85 0.85-(0.05*(f'c-4000)/1000) 4000 < f'c <8000 balanced = 0.0285 [((.85 1 f'c)/fy)(87000/(87000+fy))] ACI 22.2.4.3
max = 0.0071 [.25( balanced)]As Maximum = 0.73 in^2 max)(bw)(d)]
ρmin = (200 psi)/fy = 0.0033
As Required
Mn = Mu where Mn = (As fy d)[1-(As fy)/(1.7 f'c b d)]
solve for As to determine area of steel necessary to resist moment
Mu = 17.18 kip-ft [(M)(DLF)]
As = 0.46 in^2 [solved for based on above formula]
Flexure Capacity:[a = (Ass*fy)/(0.85*f'c*b)] Equivalent Depth of Stress Block, a = 0.88 in
[Mn = Φm*0.85*f'c*a*b*(d-a/2)] Concrete Moment Capacity, Mn = 22.0 kip-ft
[ρ = Ass/(b*d)] Reinforcement Ratio, ρ = 0.0058
(from previously) Mu = 17.2 kip-ft if: 1.00
Strength vs. Load Effect, Mn/Mu = 1.28 > 1.00 Ok! if: > 1.00 Ok!if: < 1.00 NG!
As MAX 0.73 sq inAs MIN (INCLUDE YES OR NO) YES 0.34 sq in ACI 9.6.1.2 see note
S & T STEEL = 0.0028*Ag/2 <= 1.00 SQ IN 0.29 sq in EM 2104
S & T STEEL = 0.0018*Ag/2 <= 1.00 SQ IN 0.13 sq in ACI 7.12.2.1
(4/3) As REQUIRED 0.62 sq in ACI 9.6.1.3 ACI 10.5.3
As DESIGN 0.46 sq in
NOTE: ACI 10.5.2; 10.5.4 "NO" FOR SLABS AND FOOTINGS
SELECT FLEXURAL REINFORCEMENT
BAR SIZE (3,4,5,6,7,8,9 etc) = 7BAR SPACING (inches) = 12
As (provided) = 0.60 in^2 OK
Is design slab or beam?
Note: Soil was neglected as it is taken to be equal and opposite. Resisting side water was neglected to be conservative.
Calculations: Key
Calculation of Moment and Shear (Counter Clock Wise Positive)
Depth of Key below base: 1.5 ft
D/S Water Pressure - Rectangular portion of pressurex1 x2 Length p1 p2 Shear arm Moment
0.00 1.50 1.50 -0.638 -0.638 -0.957 0.75 -0.72
D/S Water Pressure - Triangular portion of pressure
x1 x2 Length p1 p2 Shear arm Moment0.00 1.50 1.50 0 -0.048 -0.036 1.00 -0.04
D/S Soil Pressure - Rectangular portion of pressurex1 x2 Length p1 p2 Shear arm Moment
0.00 1.50 1.50 -2.153 -2.153 -3.229 0.75 -2.42
U/S Water Pressure - Rectangular portion of pressure
x1 x2 Length p1 p2 Shear arm Moment0.00 1.50 1.50 0.587 0.587 0.880 0.75 0.66
U/S Water Pressure - Triangular portion of pressure
x1 x2 Length p1 p2 Shear arm Moment0.00 1.50 1.50 0 0.100 0.075 1.00 0.07
U/S Soil Pressure - Triangular portion of pressure
x1 x2 Length p1 p2 Shear arm Moment0.00 1.50 1.50 0.000 0.000 0.000 0.75 0.00
Total Shear (V) = -3.267 kips
Total Moment (M) = -2.441 kip-ft
Calculations: Key
Moment and Shear
Force due to water (V) = -3.267 kips
Moment at bottom (M) = -2.441 kip-ft
Flexure Steel Dia. = 0.88 inchesT & S Steel Dia. = 0.88 inches
Required Concrete Cover = 3.00 inchesMinimum Depth based on ShearVu=(DLF)(V) ==> Vu = -5.41 kips Vu<(phi shear(Vc)= ACI 22.5.1.2
9.75 kips > Vu = -5.41 kips OKslab
d min = -4.76 in [Vu/(phi shear)(2)(l mod fctr)(sqrt(f'c))(bw)] ACI 22.5.5.1Actual depth d = 8.56
Vc = 9.75 kips =(phi shear)(l mod fctr)(2)(sqrt(f'c))(b d)] ACI 22.5.5.1As Maximum max = .25 balanced EM 1110-2-2104
1= 0.85 0.85-(0.05*(f'c-4000)/1000) 4000 < f'c <8000 balanced = 0.0285 [((.85 1 f'c)/fy)(87000/(87000+fy))] ACI 22.2.4.3
max = 0.0071 [.25( balanced)]As Maximum = 0.73 in^2 max)(bw)(d)]
ρmin = (200 psi)/fy = 0.2000
As Required
Mn = Mu where Mn = (As fy d)[1-(As fy)/(1.7 f'c b d)]
solve for As to determine area of steel necessary to resist moment
Mu = -4.05 kip-ft [(M)(DLF)]
As = -0.10 in^2 [solved for based on above formula]
Flexure Capacity:[a = (Ass*fy)/(0.85*f'c*b)] Equivalent Depth of Stress Block, a = 0.88 in
[Mn = Φm*0.85*f'c*a*b*(d-a/2)] Concrete Moment Capacity, Mn = 22.0 kip-ft
[ρ = Ass/(b*d)] Reinforcement Ratio, ρ = 0.0058
(from previously) Mu = -4.0 kip-ft if: 1.33
Strength vs. Load Effect, Mn/Mu = 5.43 > 1.33 Ok! if: > 1.33 Ok!if: < 1.33 NG!
As MAX 0.73 sq inAs MIN (INCLUDE YES OR NO) YES 0.34 sq in ACI 9.6.1.2 see note
S & T STEEL = 0.004*Ag/2 <= 1.00 SQ IN 0.29 sq in EM 2104
S & T STEEL = 0.0018*Ag/2 <= 1.00 SQ IN 0.13 sq in ACI 7.12.2.1
(4/3) As REQUIRED -0.14 sq in ACI 9.6.1.3 ACI 10.5.3
As DESIGN 0.29 sq in
NOTE: ACI 10.5.2; 10.5.4 "NO" FOR SLABS AND FOOTINGS
SELECT FLEXURAL REINFORCEMENT
BAR SIZE (3,4,5,6,7,8,9 etc) = 7BAR SPACING (inches) = 12
As (provided) = 0.60 in^2 OK
Is design slab or beam?
Length of Base Press.= 11.000 feet Sheetpile cutoff ? no (YES or NO)
Base pressure at toe = 1.630 ksf CTWALL Distance to Cutoff = 0.000 feet
Base press. at heel = 0.000 ksf CTWALL
Hydro. Press. at toe = 0.638 ksf CTWALL
Hydro. Press. at heel = 0.587 ksf CTWALL
Hydro. Press. D/S key = 0.686 ksf CTWALL
Hydro. Press. U/s key = 0.686 ksf CTWALL
Base Pressure - Rectangular portion of base pressure
x1 x2 Length p1 p2 Shear arm Moment7.50 0.00 7.50 0.000 0.000 0.000 3.75 0.00
Base Pressure - Triangular portion of base pressure (Assumes maximum pressure is at Toe)x1 x2 Length p1 p2 Shear arm Moment
5.14 0.00 5.14 0 -0.970 -2.492 1.71 -4.27Uplift Pressure - Under Key With no sheetpile - Reactangular Portion
x1 x2 Length p1 p2 Shear arm Moment1.25 0.00 1.25 -0.638 -0.638 -0.798 6.88 -5.48
Uplift Pressure - Under Key With no sheetpile - Triangular Portion
x1 x2 Length p1 p2 Shear arm Moment1.25 0.00 1.25 -0.048 0.000 -0.030 7.08 -0.21
Uplift Pressure D/S of key - triangular uplift if no sheetpile x1 x2 Length p1 p2 Shear arm Moment
6.25 0.00 6.25 0.000 -0.167 -0.523 4.17 -2.18
Uplift Pressure D/S of key- rectangular uplift if no sheetpilex1 x2 Length p1 p2 Shear arm Moment
6.25 0.00 6.25 -0.319 -0.319 -1.993 3.13 -6.23Weight of Water on Heel
x1 x2 Length p1 p2 Shear arm Moment7.50 0.00 7.50 0.243 0.243 1.825 3.75 6.84
Weight of Soil on Heel
x1 x2 Length p1 p2 Shear arm Moment7.50 0.00 7.50 0.5535 0.5535 4.151 3.75 15.57
7.50 0.00 7.50 0 0 0.000 5.00 0.00
Weight of Buoyant Riprap on Heel
x1 x2 Length p1 p2 Shear arm Moment7.50 0.00 7.50 0.01 0.01 0.075 3.75 0.28
Weight of Heel Concrete
x1 x2 Length p1 p2 Shear arm Moment7.50 0.00 7.50 0.375 0.375 2.813 3.75 10.55
Weight of Key Concrete
x1 x2 Length p1 p2 Shear arm Moment1.25 0.00 1.25 0.375 0.375 0.469 6.88 3.22
Total Shear (V) = 3.498 kips
Total Moment (M) = 18.093 kip-ft
Calculations: HEEL at stem with no Forces on key, Top of base
Moment and Shear
Force due to water (V) = 3.498 kips
Moment at bottom (M) = 18.093 kip-ft
Flexure Steel Dia. = 0.88 inchesT & S Steel Dia. = 0.88 inches
Required Concrete Cover = 3.00 inchesMinimum Depth based on ShearVu=(DLF)(V) ==> Vu = 5.80 kips Vu<(phi shear(Vc)= ACI 22.5.1.2
30.24 kips > Vu = 5.80 kips OKslab
d min = 5.09 in [Vu/(phi shear)(2)(l mod fctr)(sqrt(f'c))(bw)] ACI 22.5.5.1Actual depth d = 26.56
Vc = 30.24 kips =(phi shear)(l mod fctr)(2)(sqrt(f'c))(b d)] ACI 22.5.5.1As Maximum max = .25 balanced EM 1110-2-2104
1= 0.85 0.85-(0.05*(f'c-4000)/1000) 4000 < f'c <8000 balanced = 0.0285 [((.85 1 f'c)/fy)(87000/(87000+fy))] ACI 22.2.4.3
max = 0.0071 [.25( balanced)]As Maximum = 2.27 in^2 max)(bw)(d)]
ρmin = (200 psi)/fy = 0.0033
As Required
Mn = Mu where Mn = (As fy d)[1-(As fy)/(1.7 f'c b d)]
solve for As to determine area of steel necessary to resist moment
Mu = 29.99 kip-ft [(M)(DLF)]
As = 0.25 in^2 [solved for based on above formula]
Flexure Capacity:[a = (Ass*fy)/(0.85*f'c*b)] Equivalent Depth of Stress Block, a = 0.88 in
[Mn = Φm*0.85*f'c*a*b*(d-a/2)] Concrete Moment Capacity, Mn = 70.6 kip-ft
[ρ = Ass/(b*d)] Reinforcement Ratio, ρ = 0.0019
(from previously) Mu = 30.0 kip-ft if: 1.33
Strength vs. Load Effect, Mn/Mu = 2.36 > 1.33 Ok! if: > 1.33 Ok!if: < 1.33 NG!
As MAX 2.27 sq inAs MIN (INCLUDE YES OR NO) YES 1.06 sq in ACI 9.6.1.2 see note
S & T STEEL = 0.004*Ag/2 <= 1.00 SQ IN 0.29 sq in EM 2104
S & T STEEL = 0.0018*Ag/2 <= 1.00 SQ IN 0.13 sq in ACI 7.12.2.1
(4/3) As REQUIRED 0.34 sq in ACI 9.6.1.3 ACI 10.5.3
As DESIGN 0.34 sq in
NOTE: ACI 10.5.2; 10.5.4 "NO" FOR SLABS AND FOOTINGS
SELECT FLEXURAL REINFORCEMENT
BAR SIZE (3,4,5,6,7,8,9 etc) = 7BAR SPACING (inches) = 12
As (provided) = 0.60 in^2 OK
Is design slab or beam?
Calculations: HEEL at stem with Forces on key
Moment and Shear
Total Shear (V) = 3.5 kips
Total Moment (M) = 20.5 kip-ft
Flexure Steel Dia. = 0.88 inchesT & S Steel Dia. = 0.88 inches
Required Concrete Cover = 4.00 inchesMinimum Depth based on ShearVu=(DLF)(V) ==> Vu = 5.80 kips Vu<(phi shear(Vc)= ACI 22.5.1.2
30.24 kips > Vu = 5.80 kips OKslab
d min = 5.09 in [Vu/(phi shear)(2)(l mod fctr)(sqrt(f'c))(bw)] ACI 22.5.5.1Actual depth d = 26.56
Vc = 30.24 kips =(phi shear)(l mod fctr)(2)(sqrt(f'c))(b d)] ACI 22.5.5.1As Maximum max = .25 balanced EM 1110-2-2104
1= 0.85 0.85-(0.05*(f'c-4000)/1000) 4000 < f'c <8000 balanced = 0.0285 [((.85 1 f'c)/fy)(87000/(87000+fy))] ACI 22.2.4.3
max = 0.0071 [.25( balanced)]As Maximum = 2.27 in^2 max)(bw)(d)]
ρmin = (200 psi)/fy = 0.0033
As Required
Mn = Mu where Mn = (As fy d)[1-(As fy)/(1.7 f'c b d)]
solve for As to determine area of steel necessary to resist moment
Mu = 34.04 kip-ft [(M)(DLF)]
As = 0.29 in^2 [solved for based on above formula]
Flexure Capacity:[a = (Ass*fy)/(0.85*f'c*b)] Equivalent Depth of Stress Block, a = 0.88 in
[Mn = Φm*0.85*f'c*a*b*(d-a/2)] Concrete Moment Capacity, Mn = 70.6 kip-ft
[ρ = Ass/(b*d)] Reinforcement Ratio, ρ = 0.0019
(from previously) Mu = 34.0 kip-ft if: 1.33
Strength vs. Load Effect, Mn/Mu = 2.08 > 1.33 Ok! if: > 1.33 Ok!if: < 1.33 NG!
As MAX 2.27 sq inAs MIN (INCLUDE YES OR NO) YES 1.06 sq in ACI 9.6.1.2 see note
S & T STEEL = 0.004*Ag/2 <= 1.00 SQ IN 0.29 sq in EM 2104
S & T STEEL = 0.0018*Ag/2 <= 1.00 SQ IN 0.13 sq in ACI 7.12.2.1
(4/3) As REQUIRED 0.38 sq in ACI 9.6.1.3 ACI 10.5.3
As DESIGN 0.38 sq in
NOTE: ACI 10.5.2; 10.5.4 "NO" FOR SLABS AND FOOTINGS
SELECT FLEXURAL REINFORCEMENT
BAR SIZE (3,4,5,6,7,8,9 etc) = 7BAR SPACING (inches) = 12
As (provided) = 0.60 in^2 OK
Is design slab or beam?
Calculations: (Bottom of Toe)
Calculation of Moment and Shear (Counter Clock Wise Positive)
Base Pressure - Rectangular portion of base pressure
x1 x2 Length p1 p2 Shear arm Moment0.00 2.50 2.50 -1.158 -1.158 -2.896 1.25 3.62
Base Pressure - Triangular portion of base pressure (Assumes maximum pressure is at Toe)
x1 x2 Length p1 p2 Shear arm Moment0.00 2.50 2.50 0 -0.472 -0.590 1.67 0.98
Uplift Pressure - triangular uplift
x1 x2 Length p1 p2 Shear arm Moment0.00 2.50 2.50 0.000 -0.097 -0.122 0.83 0.10
Uplift Pressure - rectangular uplift
x1 x2 Length p1 p2 Shear arm Moment0.00 2.50 2.50 -0.106 -0.106 -0.265 1.25 0.33
Weight of Soil on Toe
x1 x2 Length p1 p2 Shear arm Moment0.00 2.50 2.50 0.5535 0.5535 1.384 1.25 -1.73
Weight of Concrete
x1 x2 Length p1 p2 Shear arm Moment0.00 2.50 2.50 0.375 0.375 0.938 1.25 -1.17
Total Shear (V) = -1.551 kips
Total Moment (M) = 2.134 kip-ft
Calculations: (Bottom of Toe)
Moment and Shear
Total Shear (V) = -1.6 kips
Total Moment (M) = 2.1 kip-ft
Flexure Steel Dia. = 0.88 inchesT & S Steel Dia. = 0.88 inches
Required Concrete Cover = 3.00 inchesMinimum Depth based on ShearVu=(DLF)(V) ==> Vu = -2.57 kips Vu<(phi shear(Vc)= ACI 22.5.1.2
30.24 kips > Vu = -2.57 kips OKslab
d min = -2.26 in [Vu/(phi shear)(2)(l mod fctr)(sqrt(f'c))(bw)] ACI 22.5.5.1Actual depth d = 26.56
Vc = 30.24 kips =(phi shear)(l mod fctr)(2)(sqrt(f'c))(b d)] ACI 22.5.5.1As Maximum max = .25 balanced EM 1110-2-2104
1= 0.85 0.85-(0.05*(f'c-4000)/1000) 4000 < f'c <8000 balanced = 0.0285 [((.85 1 f'c)/fy)(87000/(87000+fy))] ACI 22.2.4.3
max = 0.0071 [.25( balanced)]
As Maximum = 2.27 in^2 max)(bw)(d)]
ρmin = (200 psi)/fy = 0.0033
As Required
Mn = Mu where Mn = (As fy d)[1-(As fy)/(1.7 f'c b d)]
solve for As to determine area of steel necessary to resist moment
Mu = 3.54 kip-ft [(M)(DLF)]
As = 0.03 in^2 [solved for based on above formula]
Flexure Capacity:[a = (Ass*fy)/(0.85*f'c*b)] Equivalent Depth of Stress Block, a = 0.88 in
[Mn = Φm*0.85*f'c*a*b*(d-a/2)] Concrete Moment Capacity, Mn = 70.6 kip-ft
[ρ = Ass/(b*d)] Reinforcement Ratio, ρ = 0.0019
(from previously) Mu = 3.5 kip-ft if: 1.33
Strength vs. Load Effect, Mn/Mu = 19.97 > 1.33 Ok! if: > 1.33 Ok!if: < 1.33 NG!
As MAX 2.27 sq inAs MIN (INCLUDE YES OR NO) YES 1.06 sq in ACI 9.6.1.2 see note
S & T STEEL = 0.004*Ag/2 <= 1.00 SQ IN 0.29 sq in EM 2104
S & T STEEL = 0.0018*Ag/2 <= 1.00 SQ IN 0.13 sq in ACI 7.12.2.1
(4/3) As REQUIRED 0.04 sq in ACI 9.6.1.3 ACI 10.5.3
As DESIGN 0.29 sq in
NOTE: ACI 10.5.2; 10.5.4 "NO" FOR SLABS AND FOOTINGS
SELECT FLEXURAL REINFORCEMENT
BAR SIZE (3,4,5,6,7,8,9 etc) = 7BAR SPACING (inches) = 12
As (provided) = 0.60 in^2 OK
Is design slab or beam?
Calculations - Bearing Capacity: (EM 1110-2-2502, Chapter 5)
BEARING CAPACITY = Q
Q= B1[(EcdEciEctEcgCNc)+(EqdEqiEqtEqgqoNq)+(ErdEriErtErgB1§Nr)/2] EQU. 5-2
FOOTING WIDTH, (B)= 11.00 ft.
SOIL DEPTH TOE SIDE (D)= 5.50 ft.
SATURATION HT.TOE SIDE (Dw)= 1.00 ft.
BASE SLOPE, alpha, ()= 7.77 degrees CTWALL
FRICTION ANGLE OF SOIL (0f)= 32.00 deg., Below Footing
FRICTION ANGLE OF SOIL (03)= 32.00 deg., Resisting Wedge
COHESION OF FOUNDATION Cfr= 0.00 k / ft2
SOIL UNIT Wt.,MOIST (§m)= 0.123 k / ft3
SOIL UNIT Wt.,SATUR. (§s)= 0.125 k / ft3
WATER UNIT WEIGHT (§w)= 0.0624 k / ft3
SOIL UNIT Wt.,BOUYANT (§b)= 0.0626 k / ft3
NET HORIZONTAL FORCE (SUM H)= 2.25 kip CTWALL
NET VERTICAL FORCE (SUM V)= 7.41 kip CTWALL
Xr (measured from toe) = 2.88 ft. CTWALL
SURCHARGE LOADING= 0.00 ksf
SOIL SURFACE SLOPE,RISE/RUN= 0.00 deg.
BETA ANGLE ()= 0.00 deg.
EFF. WIDTH OF BASE B1 = B-2e = 2Xr = 5.76
BEARING CAPACITY FACTORS FROM TABLE 5-1 EM 1110-2-2502
Nq = 23.18
Nc = 35.49
Nr = 22.02
EMBEDMENT FACTORS
Ecd = 1+0.2(D/B1)TAN(45+/2) = 1.345 EQU.5-4a
Eqd=Erd = = 1.000 EQU.5-4b IF( = O)
Eqd=Erd = 1+0.1(D/B1)TAN(45+/2) = 1.172 EQU.5-4c IF( >10)
Eqd=Erd = = 1.172
INTERPOLATE BETWEEN EQU. 5-4b AND 4c FOR (O<<=1O)
INCLINATION FACTORS
§o = ARCTAN[(SUM H)/SUM V] = 16.868 DEG.
Eqi=Eci = (1-§o/90)^2 = 0.660 EQU.5-5a
Eri = IF §o > THEN Eri = 0, ELSE,
Eri = (1-§o/)^2 = 0.224 EQU.5-5b
BASE TILT FACTORS ( IN RADIANS)
Eqt=Ert = (1-*TAN)^2 = 0.838 EQU.5-6a
Ect = 1-(2*/+2) = 0.947 EQU.5-6b
Ect = Eqt-[(1-Eqt)/(NcTAN)] = 0.830 EQU.5-6c
Ect = 0.830
GROUND SLOPE FACTORS ( is positive when the ground slopes down and away from the footing.)
Erg=Eqg = [1-TAN(-)]^2 = 1.000 EQU.5-7a
Ecg = 1-[2*(-)/(PI+2)] = 1.000 EQU.5-7b
Ecg = Eqg-[(1-Eqg)/Nc*TAN] = 1.000 EQU.5-7d
Ecg = 1.000
EFFECTIVE OVERBURDEN PRESSURE
qo = (Q+§*D)*COS() = 0.616 EQU.5-8a
0.616 §b*Dw+§m(D-Dw)
EFFECTIVE SOIL UNIT WEIGHT
§ = IF(Dw=0,§m,§b)= 0.0626 ksf
BEARING CAPACITY = 58.36 kips EQU. 5-2
F.O.S. = Q/SUM V= 7.87 EQU. 5-1
F.O.S. Required For = 3.0
Thus, Design is OK
Calculations: Flotation FOS
PartVertical Force (kip)
Horz. Force (kip)
Moment Arm (ft)
Moment (kip-ft)
Structure:
Structure Weight 3.281 -4.89 -16.04
Structure, driving side:Moist soil weight 0.00Saturated soil 4.219 -7.25 -30.59Water above structure 0.00Water above soil 1.872 -7.25 -13.57External vertical loads 0.00Ext. hz. pressure loads 0.00Ext. hz. line loads 0.50 9.50 4.75
Structure, resisting side:
Moist soil weight 1.384 -1.25 -1.73Saturated soil 0.00Water above structure 0.00Water above soil 0.00
Driving side:Effective earth loads 0.00Shear (due to delta) 0.00Hz. Surcharge effects 0.00Water loads 3.775 2.16 8.15
Resisting side:
Effective earth loads 0.00
Balancing earth loads -3.229 -0.72 2.32
Water loads -1.046 -0.72 0.75
Foundation:Vertical force on base -7.042 -2.88 20.28Uplift -3.714 -6.91 25.66
Flotation FOS
Req. FOS (Usual Case) 1.2Ws 8.884 kipWc 0.00 kipS 0.00 kipU 3.71 kip
Wg 1.872 kipCalculated FOS 4.82
EM 1110-2-2100, Table 3-4
US Army Corps of Engineers DATE:
10/28/2019
Saint Paul District
CHK BY: TMG
Load Case: Design Flood Elevation (100 yr. + 3 ft.) - Unusual
Design Information: Note: Data located with-in a black box is an input, not a calculated value.
Labels and data below are from an overturning and sliding analysis performed by CTWALL
Top of Stem El 732.50 feet Toe Thickness 1.25 feet
Height of Stem 10.25 feet Toe Width 2.50 feet
Top Stem Thickness 1.25 feet Toe Slope 0.00 feet
Base Stem Thickness 1.25 feet Total Base Width 12.00 feet
Stem Batter 0.00 feet Key Depth 1.75 feet
Heel Thickness 3.00 feet Key Thickness 1.25 feet
Heel Slope 0.00 feet Key Slope 0.00 feet
ACI 318-19
Weight of Water (w) = 62.40 lbs/cu.ft fy = 60 ksi
Water Ele. L. (HwL) = 731.50 feet f'c = 4.0 ksi
Water Ele. R. (HwR) = 722.25 feet modification factor = 1.00
B. Wt. of Soil (b) = 62.60 lbs/cu.ft shear = 0.75 ACI 21.2
Soil Ele. L. (HsL) = 726.50 feet moment = 0.90 ACI 21.2
Soil Ele. R. (HsR) = 726.50 feet Load Condition Factor (LCF) = 0.75
Weight of Conc. (c) = 150.00 lbs/cu.ft Hydraulic Load Factor (HLF) = 1.30
M. Wt. of Soil (b) = 123.00 lbs/cu.ft Load Factor (LF) = 1.70
Ice/Debris = 500.00 lbs/ft Design Load Factor (DLF) = 1.66
Wind load = 0.00 lbs/sf
Bottom of Footing = 719.25
PROJECT TITLE: Arcadia Feasibility Study CMP BY:
CNO
SHEET:
SUBJECT TITLE: Floodwall 11.5 ft, Unusual Case, Cracked Heel. No Sheetpile
COMPUTER FILE: .xls
700
705
710
715
720
725
730
-5 5 15 25 35
Concrete Water Soil
700
705
710
715
720
725
730
-5 5 15 25 35
Concrete Water Soil
718.00
720.00
722.00
724.00
726.00
728.00
730.00
732.00
734.00
-5 5 15
Concrete Water Soil
Calculations: (STEM)
Moment and Shear
Force due to water (V) = 3.170 kips
Moment at bottom (M) = 12.856 kip-ftPlus Ice/Debris
Flexure Steel Dia. = 0.88 inchesT & S Steel Dia. = 0.88 inches
Required Concrete Cover = 3.00 inchesMinimum Depth based on ShearVu=(DLF)(V) ==> Vu = 5.25 kips Vu<(phi shear(Vc)= ACI 22.5.1.2
13.16 kips > Vu = 5.25 kips OKslab
d min = 4.61 in [Vu/(phi shear)(2)(l mod fctr)(sqrt(f'c))(bw)] ACI 22.5.5.1Actual depth d = 11.56
Vc = 13.16 kips =(phi shear)(l mod fctr)(2)(sqrt(f'c))(b d)] ACI 22.5.5.1As Maximum max = .25 balanced EM 1110-2-2104
1= 0.85 0.85-(0.05*(f'c-4000)/1000) 4000 < f'c <8000 balanced = 0.0285 [((.85 1 f'c)/fy)(87000/(87000+fy))] ACI 22.2.4.3
max = 0.0071 [.25( balanced)]As Maximum = 0.99 in^2 max)(bw)(d)]
ρmin = (200 psi)/fy = 0.0033
As Required
Mn = Mu where Mn = (As fy d)[1-(As fy)/(1.7 f'c b d)]
solve for As to determine area of steel necessary to resist moment
Mu = 21.31 kip-ft [(M)(DLF)]
As = 0.42 in^2 [solved for based on above formula]
Flexure Capacity:[a = (Ass*fy)/(0.85*f'c*b)] Equivalent Depth of Stress Block, a = 0.88 in
[Mn = Φm*0.85*f'c*a*b*(d-a/2)] Concrete Moment Capacity, Mn = 30.1 kip-ft
[ρ = Ass/(b*d)] Reinforcement Ratio, ρ = 0.0043
(from previously) Mu = 21.3 kip-ft if: 1.00
Strength vs. Load Effect, Mn/Mu = 1.41 > 1.00 Ok! if: > 1.00 Ok!if: < 1.00 NG!
As MAX 0.99 sq inAs MIN (INCLUDE YES OR NO) YES 0.46 sq in ACI 9.6.1.2 see note
S & T STEEL = 0.0028*Ag/2 <= 1.00 SQ IN 0.36 sq in EM 2104
S & T STEEL = 0.0018*Ag/2 <= 1.00 SQ IN 0.16 sq in ACI 7.12.2.1
(4/3) As REQUIRED 0.56 sq in ACI 9.6.1.3 ACI 10.5.3
As DESIGN 0.46 sq in
NOTE: ACI 10.5.2; 10.5.4 "NO" FOR SLABS AND FOOTINGS
SELECT FLEXURAL REINFORCEMENT
BAR SIZE (3,4,5,6,7,8,9 etc) = 7BAR SPACING (inches) = 12
As (provided) = 0.60 in^2 OK
Is design slab or beam?
Note: Soil was neglected as it is taken to be equal and opposite. Resisting side water was neglected to be conservative.
Calculations: Key
Calculation of Moment and Shear (Counter Clock Wise Positive)
Depth of Key below base: 1.75 ft
D/S Water Pressure - Rectangular portion of pressure
x1 x2 Length p1 p2 Shear arm Moment0.00 1.75 1.75 -0.717 -0.717 -1.255 0.88 -1.10
D/S Water Pressure - Triangular portion of pressure
x1 x2 Length p1 p2 Shear arm Moment0.00 1.75 1.75 0 -0.047 -0.041 1.17 -0.05
D/S Soil Pressure - Rectangular portion of pressure
x1 x2 Length p1 p2 Shear arm Moment0.00 1.75 1.75 -2.173 -2.173 -3.803 0.88 -3.33
U/S Water Pressure - Rectangular portion of pressure
x1 x2 Length p1 p2 Shear arm Moment0.00 1.75 1.75 0.655 0.655 1.147 0.88 1.00
U/S Water Pressure - Triangular portion of pressure
x1 x2 Length p1 p2 Shear arm Moment0.00 1.75 1.75 0 0.109 0.095 1.17 0.11
U/S Soil Pressure - Triangular portion of pressure
x1 x2 Length p1 p2 Shear arm Moment0.00 1.75 1.75 0.000 0.000 0.000 0.88 0.00
Total Shear (V) = -3.858 kips
Total Moment (M) = -3.360 kip-ft
Calculations: Key
Moment and Shear
Force due to water (V) = -3.858 kips
Moment at bottom (M) = -3.360 kip-ft
Flexure Steel Dia. = 0.88 inchesT & S Steel Dia. = 0.88 inches
Required Concrete Cover = 3.00 inchesMinimum Depth based on ShearVu=(DLF)(V) ==> Vu = -6.39 kips Vu<(phi shear(Vc)= ACI 22.5.1.2
13.16 kips > Vu = -6.39 kips OKslab
d min = -5.62 in [Vu/(phi shear)(2)(l mod fctr)(sqrt(f'c))(bw)] ACI 22.5.5.1Actual depth d = 11.56
Vc = 13.16 kips =(phi shear)(l mod fctr)(2)(sqrt(f'c))(b d)] ACI 22.5.5.1As Maximum max = .25 balanced EM 1110-2-2104
1= 0.85 0.85-(0.05*(f'c-4000)/1000) 4000 < f'c <8000 balanced = 0.0285 [((.85 1 f'c)/fy)(87000/(87000+fy))] ACI 22.2.4.3
max = 0.0071 [.25( balanced)]As Maximum = 0.99 in^2 max)(bw)(d)]
ρmin = (200 psi)/fy = 0.1714
As Required
Mn = Mu where Mn = (As fy d)[1-(As fy)/(1.7 f'c b d)]
solve for As to determine area of steel necessary to resist moment
Mu = -5.57 kip-ft [(M)(DLF)]
As = -0.11 in^2 [solved for based on above formula]
Flexure Capacity:[a = (Ass*fy)/(0.85*f'c*b)] Equivalent Depth of Stress Block, a = 1.15 in
[Mn = Φm*0.85*f'c*a*b*(d-a/2)] Concrete Moment Capacity, Mn = 38.8 kip-ft
[ρ = Ass/(b*d)] Reinforcement Ratio, ρ = 0.0057
(from previously) Mu = -5.6 kip-ft if: 1.33
Strength vs. Load Effect, Mn/Mu = 6.97 > 1.33 Ok! if: > 1.33 Ok!if: < 1.33 NG!
As MAX 0.99 sq inAs MIN (INCLUDE YES OR NO) YES 0.46 sq in ACI 9.6.1.2 see note
S & T STEEL = 0.004*Ag/2 <= 1.00 SQ IN 0.36 sq in EM 2104
S & T STEEL = 0.0018*Ag/2 <= 1.00 SQ IN 0.16 sq in ACI 7.12.2.1
(4/3) As REQUIRED -0.14 sq in ACI 9.6.1.3 ACI 10.5.3
As DESIGN 0.36 sq in
NOTE: ACI 10.5.2; 10.5.4 "NO" FOR SLABS AND FOOTINGS
SELECT FLEXURAL REINFORCEMENT
BAR SIZE (3,4,5,6,7,8,9 etc) = 8BAR SPACING (inches) = 12
As (provided) = 0.79 in^2 OK
Is design slab or beam?
Length of Base Press.= 12.000 feet Sheetpile cutoff ? NO (YES or NO)
Base pressure at toe = 1.796 ksf CTWALL Distance to Cutoff = 0.000 feet
Base press. at heel = 0.000 ksf CTWALL
Hydro. Press. at toe = 0.717 ksf CTWALL
Hydro. Press. at heel = 0.655 ksf CTWALL
Hydro. Press. D/S key = 0.764 ksf CTWALL
Hydro. Press. U/s key = 0.764 ksf CTWALL
Base Pressure - Rectangular portion of base pressure
x1 x2 Length p1 p2 Shear arm Moment8.25 0.00 8.25 0.000 0.000 0.000 4.13 0.00
Base Pressure - Triangular portion of base pressure (Assumes maximum pressure is at Toe)x1 x2 Length p1 p2 Shear arm Moment
5.40 0.00 5.40 0 -1.009 -2.724 1.80 -4.90Uplift Pressure - Under Key With no sheetpile - Reactangular Portion
x1 x2 Length p1 p2 Shear arm Moment1.25 0.00 1.25 -0.717 -0.764 -0.926 7.63 -7.06
Uplift Pressure - Under Key With no sheetpile - Triangular Portion
x1 x2 Length p1 p2 Shear arm Moment1.25 0.00 1.25 -0.047 0.000 -0.029 7.83 -0.23
Uplift Pressure D/S of key - triangular uplift if no sheetpile x1 x2 Length p1 p2 Shear arm Moment
7.00 0.00 7.00 0.062 -0.266 -0.716 4.67 -3.34
Uplift Pressure D/S of key- rectangular uplift if no sheetpilex1 x2 Length p1 p2 Shear arm Moment
7.00 0.00 7.00 -0.275 -0.275 -1.923 3.50 -6.73Weight of Water on Heel
x1 x2 Length p1 p2 Shear arm Moment8.25 0.00 8.25 0.312 0.312 2.574 4.13 10.62
Weight of Soil on Heel
x1 x2 Length p1 p2 Shear arm Moment8.25 0.00 8.25 0.52275 0.52275 4.313 4.13 17.79
8.25 0.00 8.25 0 0 0.000 5.50 0.00
Weight of Buoyant Riprap on Heel
x1 x2 Length p1 p2 Shear arm Moment8.25 0.00 8.25 0.01 0.01 0.083 4.13 0.34
Weight of Heel Concrete
x1 x2 Length p1 p2 Shear arm Moment8.25 0.00 8.25 0.45 0.45 3.713 4.13 15.31
Weight of Key Concrete
x1 x2 Length p1 p2 Shear arm Moment1.25 0.00 1.25 0.375 0.375 0.469 7.63 3.57
Total Shear (V) = 4.833 kips
Total Moment (M) = 25.375 kip-ft
Calculations: HEEL at stem with no Forces on key, Top of base
Moment and Shear
Force due to water (V) = 4.833 kips
Moment at bottom (M) = 25.375 kip-ft
Flexure Steel Dia. = 0.88 inchesT & S Steel Dia. = 0.88 inches
Required Concrete Cover = 3.00 inchesMinimum Depth based on ShearVu=(DLF)(V) ==> Vu = 8.01 kips Vu<(phi shear(Vc)= ACI 22.5.1.2
37.07 kips > Vu = 8.01 kips OKslab
d min = 7.04 in [Vu/(phi shear)(2)(l mod fctr)(sqrt(f'c))(bw)] ACI 22.5.5.1Actual depth d = 32.56
Vc = 37.07 kips =(phi shear)(l mod fctr)(2)(sqrt(f'c))(b d)] ACI 22.5.5.1As Maximum max = .25 balanced EM 1110-2-2104
1= 0.85 0.85-(0.05*(f'c-4000)/1000) 4000 < f'c <8000 balanced = 0.0285 [((.85 1 f'c)/fy)(87000/(87000+fy))] ACI 22.2.4.3
max = 0.0071 [.25( balanced)]As Maximum = 2.78 in^2 max)(bw)(d)]
ρmin = (200 psi)/fy = 0.0033
As Required
Mn = Mu where Mn = (As fy d)[1-(As fy)/(1.7 f'c b d)]
solve for As to determine area of steel necessary to resist moment
Mu = 42.06 kip-ft [(M)(DLF)]
As = 0.29 in^2 [solved for based on above formula]
Flexure Capacity:[a = (Ass*fy)/(0.85*f'c*b)] Equivalent Depth of Stress Block, a = 0.88 in
[Mn = Φm*0.85*f'c*a*b*(d-a/2)] Concrete Moment Capacity, Mn = 86.9 kip-ft
[ρ = Ass/(b*d)] Reinforcement Ratio, ρ = 0.0015
(from previously) Mu = 42.1 kip-ft if: 1.33
Strength vs. Load Effect, Mn/Mu = 2.07 > 1.33 Ok! if: > 1.33 Ok!if: < 1.33 NG!
As MAX 2.78 sq inAs MIN (INCLUDE YES OR NO) YES 1.30 sq in ACI 9.6.1.2 see note
S & T STEEL = 0.004*Ag/2 <= 1.00 SQ IN 0.36 sq in EM 2104
S & T STEEL = 0.0018*Ag/2 <= 1.00 SQ IN 0.16 sq in ACI 7.12.2.1
(4/3) As REQUIRED 0.39 sq in ACI 9.6.1.3 ACI 10.5.3
As DESIGN 0.39 sq in
NOTE: ACI 10.5.2; 10.5.4 "NO" FOR SLABS AND FOOTINGS
SELECT FLEXURAL REINFORCEMENT
BAR SIZE (3,4,5,6,7,8,9 etc) = 7BAR SPACING (inches) = 12
As (provided) = 0.60 in^2 OK
Is design slab or beam?
Calculations: HEEL at stem with Forces on key
Moment and Shear
Total Shear (V) = 4.8 kips
Total Moment (M) = 28.7 kip-ft
Flexure Steel Dia. = 0.88 inchesT & S Steel Dia. = 0.88 inches
Required Concrete Cover = 3.00 inchesMinimum Depth based on ShearVu=(DLF)(V) ==> Vu = 8.01 kips Vu<(phi shear(Vc)= ACI 22.5.1.2
37.07 kips > Vu = 8.01 kips OKslab
d min = 7.04 in [Vu/(phi shear)(2)(l mod fctr)(sqrt(f'c))(bw)] ACI 22.5.5.1Actual depth d = 32.56
Vc = 37.07 kips =(phi shear)(l mod fctr)(2)(sqrt(f'c))(b d)] ACI 22.5.5.1As Maximum max = .25 balanced EM 1110-2-2104
1= 0.85 0.85-(0.05*(f'c-4000)/1000) 4000 < f'c <8000 balanced = 0.0285 [((.85 1 f'c)/fy)(87000/(87000+fy))] ACI 22.2.4.3
max = 0.0071 [.25( balanced)]As Maximum = 2.78 in^2 max)(bw)(d)]
ρmin = (200 psi)/fy = 0.0033
As Required
Mn = Mu where Mn = (As fy d)[1-(As fy)/(1.7 f'c b d)]
solve for As to determine area of steel necessary to resist moment
Mu = 47.63 kip-ft [(M)(DLF)]
As = 0.33 in^2 [solved for based on above formula]
Flexure Capacity:[a = (Ass*fy)/(0.85*f'c*b)] Equivalent Depth of Stress Block, a = 0.88 in
[Mn = Φm*0.85*f'c*a*b*(d-a/2)] Concrete Moment Capacity, Mn = 86.9 kip-ft
[ρ = Ass/(b*d)] Reinforcement Ratio, ρ = 0.0015
(from previously) Mu = 47.6 kip-ft if: 1.33
Strength vs. Load Effect, Mn/Mu = 1.82 > 1.33 Ok! if: > 1.33 Ok!if: < 1.33 NG!
As MAX 2.78 sq inAs MIN (INCLUDE YES OR NO) YES 1.30 sq in ACI 9.6.1.2 see note
S & T STEEL = 0.004*Ag/2 <= 1.00 SQ IN 0.36 sq in EM 2104
S & T STEEL = 0.0018*Ag/2 <= 1.00 SQ IN 0.16 sq in ACI 7.12.2.1
(4/3) As REQUIRED 0.44 sq in ACI 9.6.1.3 ACI 10.5.3
As DESIGN 0.44 sq in
NOTE: ACI 10.5.2; 10.5.4 "NO" FOR SLABS AND FOOTINGS
SELECT FLEXURAL REINFORCEMENT
BAR SIZE (3,4,5,6,7,8,9 etc) = 7BAR SPACING (inches) = 12
As (provided) = 0.60 in^2 OK
Is design slab or beam?
Calculations: (Bottom of Toe)
Calculation of Moment and Shear (Counter Clock Wise Positive, Vertical Downwards Positive, Horizontal Right Positive)
Base Pressure - Rectangular portion of base pressure
x1 x2 Length p1 p2 Shear arm Moment0.00 2.50 2.50 -1.305 -1.305 -3.263 1.25 4.08
Base Pressure - Triangular portion of base pressure (Assumes maximum pressure is at Toe)
x1 x2 Length p1 p2 Shear arm Moment0.00 2.50 2.50 0 -0.491 -0.613 1.67 1.02
Uplift Pressure - triangular uplift
x1 x2 Length p1 p2 Shear arm Moment0.00 2.50 2.50 -0.014 -0.095116 -0.137 0.83 0.11
Uplift Pressure - rectangular uplift
x1 x2 Length p1 p2 Shear arm Moment0.00 2.50 2.50 0.132 0.132 -0.330 1.25 0.41
Weight of Soil on Toe
x1 x2 Length p1 p2 Shear arm Moment0.00 2.50 2.50 0.52275 0.52275 1.307 1.25 -1.63
Weight of Concrete
x1 x2 Length p1 p2 Shear arm Moment0.00 2.50 2.50 0.45 0.45 1.125 1.25 -1.41
Total Shear (V) = -1.912 kips
Total Moment (M) = 2.588 kip-ft
Calculations: (Bottom of Toe)
Moment and Shear
Total Shear (V) = -1.9 kips
Total Moment (M) = 2.6 kip-ft
Flexure Steel Dia. = 0.88 inchesT & S Steel Dia. = 0.88 inches
Required Concrete Cover = 3.00 inchesMinimum Depth based on ShearVu=(DLF)(V) ==> Vu = -3.17 kips Vu<(phi shear(Vc)= ACI 22.5.1.2
37.07 kips > Vu = -3.17 kips OKslab
d min = -2.78 in [Vu/(phi shear)(2)(l mod fctr)(sqrt(f'c))(bw)] ACI 22.5.5.1Actual depth d = 32.56
Vc = 37.07 kips =(phi shear)(l mod fctr)(2)(sqrt(f'c))(b d)] ACI 22.5.5.1As Maximum max = .25 balanced EM 1110-2-2104
1= 0.85 0.85-(0.05*(f'c-4000)/1000) 4000 < f'c <8000 balanced = 0.0285 [((.85 1 f'c)/fy)(87000/(87000+fy))] ACI 22.2.4.3
max = 0.0071 [.25( balanced)]
As Maximum = 2.78 in^2 max)(bw)(d)]
ρmin = (200 psi)/fy = 0.0033
As Required
Mn = Mu where Mn = (As fy d)[1-(As fy)/(1.7 f'c b d)]
solve for As to determine area of steel necessary to resist moment
Mu = 4.29 kip-ft [(M)(DLF)]
As = 0.03 in^2 [solved for based on above formula]
Flexure Capacity:[a = (Ass*fy)/(0.85*f'c*b)] Equivalent Depth of Stress Block, a = 0.88 in
[Mn = Φm*0.85*f'c*a*b*(d-a/2)] Concrete Moment Capacity, Mn = 86.9 kip-ft
[ρ = Ass/(b*d)] Reinforcement Ratio, ρ = 0.0015
(from previously) Mu = 4.3 kip-ft if: 1.33
Strength vs. Load Effect, Mn/Mu = 20.25 > 1.33 Ok! if: > 1.33 Ok!if: < 1.33 NG!
As MAX 2.78 sq inAs MIN (INCLUDE YES OR NO) YES 1.30 sq in ACI 9.6.1.2 see note
S & T STEEL = 0.004*Ag/2 <= 1.00 SQ IN 0.36 sq in EM 2104
S & T STEEL = 0.0018*Ag/2 <= 1.00 SQ IN 0.16 sq in ACI 7.12.2.1
(4/3) As REQUIRED 0.04 sq in ACI 9.6.1.3 ACI 10.5.3
As DESIGN 0.36 sq in
NOTE: ACI 10.5.2; 10.5.4 "NO" FOR SLABS AND FOOTINGS
SELECT FLEXURAL REINFORCEMENT
BAR SIZE (3,4,5,6,7,8,9 etc) = 7BAR SPACING (inches) = 12
As (provided) = 0.60 in^2 OK
Is design slab or beam?
Calculations - Bearing Capacity: (EM 1110-2-2502, Chapter 5)
BEARING CAPACITY = Q
Q= B1[(EcdEciEctEcgCNc)+(EqdEqiEqtEqgqoNq)+(ErdEriErtErgB1§Nr)/2] EQU. 5-2
FOOTING WIDTH, (B)= 12.00 ft.
SOIL DEPTH TOE SIDE (D)= 5.50 ft.
SATURATION HT.TOE SIDE (Dw)= 1.25 ft.
BASE SLOPE, alpha, ()= 8.30 degrees CTWALL
FRICTION ANGLE OF SOIL (0f)= 32.00 deg., Below Footing
FRICTION ANGLE OF SOIL (03)= 32.00 deg., Resisting Wedge
COHESION OF FOUNDATION Cfr= 0.00 k / ft2
SOIL UNIT Wt.,MOIST (§m)= 0.123 k / ft3
SOIL UNIT Wt.,SATUR. (§s)= 0.125 k / ft3
WATER UNIT WEIGHT (§w)= 0.0624 k / ft3
SOIL UNIT Wt.,BOUYANT (§b)= 0.0626 k / ft3
NET HORIZONTAL FORCE (SUM H)= 2.58 kip CTWALL
NET VERTICAL FORCE (SUM V)= 8.68 kip CTWALL
Xr (measured from toe) = 3.05 ft. CTWALL
SURCHARGE LOADING= 0.00 ksf
SOIL SURFACE SLOPE,RISE/RUN= 0.00 deg.
BETA ANGLE ()= 0.00 deg.
EFF. WIDTH OF BASE B1 = B-2e = 2Xr = 6.1
BEARING CAPACITY FACTORS FROM TABLE 5-1 EM 1110-2-2502
Nq = 23.18
Nc = 35.49
Nr = 22.02
EMBEDMENT FACTORS
Ecd = 1+0.2(D/B1)TAN(45+/2) = 1.325 EQU.5-4a
Eqd=Erd = = 1.000 EQU.5-4b IF( = O)
Eqd=Erd = 1+0.1(D/B1)TAN(45+/2) = 1.163 EQU.5-4c IF( >10)
INCLINATION FACTORS
§o = ARCTAN[(SUM H)/SUM V] = 16.528 DEG.
Eqi=Eci = (1-§o/90)^2 = 0.666 EQU.5-5a
Eri = IF §o > THEN Eri = 0, ELSE,
Eri = (1-§o/)^2 = 0.234 EQU.5-5b
BASE TILT FACTORS ( IN RADIANS)
Eqt=Ert = (1-*TAN)^2 = 0.827 EQU.5-6a
Ect = 1-(2*/+2) = 0.944 EQU.5-6b
Ect = Eqt-[(1-Eqt)/(NcTAN)] = 0.819 EQU.5-6c
Ect = 0.819
GROUND SLOPE FACTORS ( is positive when the ground slopes down and away from the footing.)
Erg=Eqg = [1-TAN(-)]^2 = 1.000 EQU.5-7a
Ecg = 1-[2*(-)/(PI+2)] = 1.000 EQU.5-7b
Ecg = Eqg-[(1-Eqg)/Nc*TAN] = 1.000 EQU.5-7d
Ecg = 1.000
EFFECTIVE OVERBURDEN PRESSURE
qo = (Q+§*D)*COS() = 0.601 EQU.5-8a
0.601 §b*Dw+§m(D-Dw)
EFFECTIVE SOIL UNIT WEIGHT
§ = IF(Dw=0,§m,§b)= 0.0626 ksf
BEARING CAPACITY = 60.23 kips EQU. 5-2
F.O.S. = Q/SUM V= 6.94 EQU. 5-1
F.O.S. Required For = 3.0
Thus, Design is OK
Calculations: Flotation FOS
PartVertical Force (kip)
Horz. Force (kip)
Moment Arm (ft)
Moment (kip-ft)
Structure:
Structure Weight 4.5 -5.16 -23.22
Structure, driving side:Moist soil weight 0.00Saturated soil 4.383 -7.88 -34.54Water above structure 0.00Water above soil 2.574 -7.87 -20.26External vertical loads 0.00Ext. hz. pressure loads 0.00Ext. hz. line loads 0.50 10.50 5.25
Structure, resisting side:
Moist soil weight 1.307 -1.25 -1.63Saturated soil 0.00Water above structure 0.00Water above soil 0.00
Driving side:Effective earth loads 0.00Shear (due to delta) 0.00Hz. Surcharge effects 0.00Water loads 4.682 2.33 10.91
Resisting side:
Effective earth loads 0.00
Balancing earth loads -3.803 -0.88 3.35
Water loads -1.379 -0.82 1.13
Foundation:Vertical force on base -8.221 -3.05 25.07Uplift -4.543 -7.47 33.94
Flotation FOS
Req. FOS (Usual Case) 1.2Ws 10.19 kipWc 0.00 kipS 0.00 kipU 4.54 kip
Wg 2.574 kipCalculated FOS 5.18
EM 1110-2-2100, Table 3-4
US Army Corps of Engineers DATE:
10/28/2019
Saint Paul District
CHK BY: TMG
Load Case: Design Flood Elevation (100 yr. + 3 ft.) - Unusual
Design Information: Note: Data located with-in a black box is an input, not a calculated value.
Labels and data below are from an overturning and sliding analysis performed by CTWALL
Top of Stem El 737.00 feet Toe Thickness 2.00 feet
Height of Stem 9.00 feet Toe Width 2.50 feet
Top Stem Thickness 1.25 feet Toe Slope 0.00 feet
Base Stem Thickness 1.25 feet Total Base Width 12.00 feet
Stem Batter 0.00 feet Key Depth 1.75 feet
Heel Thickness 3.75 feet Key Thickness 1.25 feet
Heel Slope 0.00 feet Key Slope 0.00 feet
ACI 318-19
Weight of Water (w) = 62.40 lbs/cu.ft fy = 60 ksi
Water Ele. L. (HwL) = 736.20 feet f'c = 4.0 ksi
Water Ele. R. (HwR) = 728.00 feet modification factor = 1.00
B. Wt. of Soil (b) = 62.60 lbs/cu.ft shear = 0.75 ACI 21.2
Soil Ele. L. (HsL) = 731.50 feet moment = 0.90 ACI 21.2
Soil Ele. R. (HsR) = 731.50 feet Load Condition Factor (LCF) = 0.75
Weight of Conc. (c) = 150.00 lbs/cu.ft Hydraulic Load Factor (HLF) = 1.30
M. Wt. of Soil (b) = 123.00 lbs/cu.ft Load Factor (LF) = 1.70
Ice/Debris = 500.00 lbs/ft Design Load Factor (DLF) = 1.66
Wind load = 0.00 lbs/sf
Bottom of Footing = 724.25
PROJECT TITLE: Arcadia Feasibility Study CMP BY:
CNO
SHEET:
SUBJECT TITLE: Floodwall 11 ft, Unusual Case, Cracked Heel. No Sheetpile
COMPUTER FILE:
.xls
700
705
710
715
720
725
730
-5 5 15 25 35
Concrete Water Soil
700
705
710
715
720
725
730
-5 5 15 25 35
Concrete Water Soil
723.00
725.00
727.00
729.00
731.00
733.00
735.00
737.00
-5 5 15
Concrete Water Soil
Calculations: (STEM)
Moment and Shear
Force due to water (V) = 2.598 kips
Moment at bottom (M) = 9.834 kip-ftPlus Ice/Debris
Flexure Steel Dia. = 0.88 inchesT & S Steel Dia. = 0.88 inches
Required Concrete Cover = 3.00 inchesMinimum Depth based on ShearVu=(DLF)(V) ==> Vu = 4.31 kips Vu<(phi shear(Vc)= ACI 22.5.1.2
13.16 kips > Vu = 4.31 kips OKslab
d min = 3.78 in [Vu/(phi shear)(2)(l mod fctr)(sqrt(f'c))(bw)] ACI 22.5.5.1Actual depth d = 11.56
Vc = 13.16 kips =(phi shear)(l mod fctr)(2)(sqrt(f'c))(b d)] ACI 22.5.5.1As Maximum max = .25 balanced EM 1110-2-2104
1= 0.85 0.85-(0.05*(f'c-4000)/1000) 4000 < f'c <8000 balanced = 0.0285 [((.85 1 f'c)/fy)(87000/(87000+fy))] ACI 22.2.4.3
max = 0.0071 [.25( balanced)]As Maximum = 0.99 in^2 max)(bw)(d)]
ρmin = (200 psi)/fy = 0.0033
As Required
Mn = Mu where Mn = (As fy d)[1-(As fy)/(1.7 f'c b d)]
solve for As to determine area of steel necessary to resist moment
Mu = 16.30 kip-ft [(M)(DLF)]
As = 0.32 in^2 [solved for based on above formula]
Flexure Capacity:[a = (Ass*fy)/(0.85*f'c*b)] Equivalent Depth of Stress Block, a = 0.88 in
[Mn = Φm*0.85*f'c*a*b*(d-a/2)] Concrete Moment Capacity, Mn = 30.1 kip-ft
[ρ = Ass/(b*d)] Reinforcement Ratio, ρ = 0.0043
(from previously) Mu = 16.3 kip-ft if: 1.00
Strength vs. Load Effect, Mn/Mu = 1.85 > 1.00 Ok! if: > 1.00 Ok!if: < 1.00 NG!
As MAX 0.99 sq inAs MIN (INCLUDE YES OR NO) YES 0.46 sq in ACI 9.6.1.2 see note
S & T STEEL = 0.0028*Ag/2 <= 1.00 SQ IN 0.36 sq in EM 2104
S & T STEEL = 0.0018*Ag/2 <= 1.00 SQ IN 0.16 sq in ACI 7.12.2.1
(4/3) As REQUIRED 0.43 sq in ACI 9.6.1.3 ACI 10.5.3
As DESIGN 0.43 sq in
NOTE: ACI 10.5.2; 10.5.4 "NO" FOR SLABS AND FOOTINGS
SELECT FLEXURAL REINFORCEMENT
BAR SIZE (3,4,5,6,7,8,9 etc) = 7BAR SPACING (inches) = 12
As (provided) = 0.60 in^2 OK
Is design slab or beam?
Note: Soil was neglected as it is taken to be equal and opposite. Resisting side water was neglected to be conservative.
Calculations: Key
Calculation of Moment and Shear (Counter Clock Wise Positive)
Depth of Key below base: 2 ft
D/S Water Pressure - Rectangular portion of pressure
x1 x2 Length p1 p2 Shear arm Moment0.00 1.75 1.75 -0.706 -0.706 -1.236 0.88 -1.08
D/S Water Pressure - Triangular portion of pressure
x1 x2 Length p1 p2 Shear arm Moment0.00 1.75 1.75 0 -0.040 -0.035 1.17 -0.04
D/S Soil Pressure - Rectangular portion of pressure
x1 x2 Length p1 p2 Shear arm Moment0.00 1.75 1.75 -1.993 -1.993 -3.488 0.88 -3.05
U/S Water Pressure - Rectangular portion of pressure
x1 x2 Length p1 p2 Shear arm Moment0.00 1.75 1.75 0.636 0.636 1.114 0.88 0.97
U/S Water Pressure - Triangular portion of pressure
x1 x2 Length p1 p2 Shear arm Moment0.00 1.75 1.75 0 0.110 0.096 1.17 0.11
U/S Soil Pressure - Triangular portion of pressure
x1 x2 Length p1 p2 Shear arm Moment0.00 1.75 1.75 0.000 0.000 0.000 0.88 0.00
Total Shear (V) = -3.549 kips
Total Moment (M) = -3.088 kip-ft
Calculations: Key
Moment and Shear
Force due to water (V) = -3.549 kips
Moment at bottom (M) = -3.088 kip-ft
Flexure Steel Dia. = 0.88 inchesT & S Steel Dia. = 0.88 inches
Required Concrete Cover = 3.00 inchesMinimum Depth based on ShearVu=(DLF)(V) ==> Vu = -5.88 kips Vu<(phi shear(Vc)= ACI 22.5.1.2
13.16 kips > Vu = -5.88 kips OKslab
d min = -5.17 in [Vu/(phi shear)(2)(l mod fctr)(sqrt(f'c))(bw)] ACI 22.5.5.1Actual depth d = 11.56
Vc = 13.16 kips =(phi shear)(l mod fctr)(2)(sqrt(f'c))(b d)] ACI 22.5.5.1As Maximum max = .25 balanced EM 1110-2-2104
1= 0.85 0.85-(0.05*(f'c-4000)/1000) 4000 < f'c <8000 balanced = 0.0285 [((.85 1 f'c)/fy)(87000/(87000+fy))] ACI 22.2.4.3
max = 0.0071 [.25( balanced)]As Maximum = 0.99 in^2 max)(bw)(d)]
ρmin = (200 psi)/fy = 0.1714
As Required
Mn = Mu where Mn = (As fy d)[1-(As fy)/(1.7 f'c b d)]
solve for As to determine area of steel necessary to resist moment
Mu = -5.12 kip-ft [(M)(DLF)]
As = -0.10 in^2 [solved for based on above formula]
Flexure Capacity:[a = (Ass*fy)/(0.85*f'c*b)] Equivalent Depth of Stress Block, a = 0.88 in
[Mn = Φm*0.85*f'c*a*b*(d-a/2)] Concrete Moment Capacity, Mn = 30.1 kip-ft
[ρ = Ass/(b*d)] Reinforcement Ratio, ρ = 0.0043
(from previously) Mu = -5.1 kip-ft if: 1.33
Strength vs. Load Effect, Mn/Mu = 5.88 > 1.33 Ok! if: > 1.33 Ok!if: < 1.33 NG!
As MAX 0.99 sq inAs MIN (INCLUDE YES OR NO) YES 0.46 sq in ACI 9.6.1.2 see note
S & T STEEL = 0.004*Ag/2 <= 1.00 SQ IN 0.36 sq in EM 2104
S & T STEEL = 0.0018*Ag/2 <= 1.00 SQ IN 0.16 sq in ACI 7.12.2.1
(4/3) As REQUIRED -0.13 sq in ACI 9.6.1.3 ACI 10.5.3
As DESIGN 0.36 sq in
NOTE: ACI 10.5.2; 10.5.4 "NO" FOR SLABS AND FOOTINGS
SELECT FLEXURAL REINFORCEMENT
BAR SIZE (3,4,5,6,7,8,9 etc) = 7BAR SPACING (inches) = 12
As (provided) = 0.60 in^2 OK
Is design slab or beam?
Length of Base Press.= 12.000 feet Sheetpile cutoff ? no (YES or NO)
Base pressure at toe = 1.615 ksf CTWALL Distance to Cutoff = 0.000 feet
Base press. at heel = 0.000 ksf CTWALL
Hydro. Press. at toe = 0.197 ksf CTWALL
Hydro. Press. at heel = 0.512 ksf CTWALL
Hydro. Press. D/S key = 0.746 ksf CTWALL
Hydro. Press. U/s key = 0.746 ksf CTWALL
Base Pressure - Rectangular portion of base pressure
x1 x2 Length p1 p2 Shear arm Moment8.25 0.00 8.25 0.000 0.000 0.000 4.13 0.00
Base Pressure - Triangular portion of base pressure (Assumes maximum pressure is at Toe)x1 x2 Length p1 p2 Shear arm Moment
5.97 0.00 5.97 0 -0.992 -2.961 1.99 -5.89Uplift Pressure - Under Key With no sheetpile - Reactangular Portion
x1 x2 Length p1 p2 Shear arm Moment1.25 0.00 1.25 -0.706 -0.706 -0.883 7.63 -6.73
Uplift Pressure - Under Key With no sheetpile - Triangular Portion
x1 x2 Length p1 p2 Shear arm Moment1.25 0.00 1.25 -0.040 0.000 -0.025 7.83 -0.20
Uplift Pressure D/S of key - triangular uplift if no sheetpile x1 x2 Length p1 p2 Shear arm Moment
7.00 0.00 7.00 -0.315 -0.224 -1.887 4.67 -8.80
Uplift Pressure D/S of key- rectangular uplift if no sheetpilex1 x2 Length p1 p2 Shear arm Moment
7.00 0.00 7.00 -0.317 -0.317 -2.219 3.50 -7.77Weight of Water on Heel
x1 x2 Length p1 p2 Shear arm Moment8.25 0.00 8.25 0.293 0.293 2.420 4.13 9.98
Weight of Soil on Heel
x1 x2 Length p1 p2 Shear arm Moment8.25 0.00 8.25 0.4305 0.4305 3.552 4.13 14.65
8.25 0.00 8.25 0 0 0.000 5.50 0.00
Weight of Buoyant Riprap on Heel
x1 x2 Length p1 p2 Shear arm Moment8.25 0.00 8.25 0.01 0.01 0.083 4.13 0.34
Weight of Heel Concrete
x1 x2 Length p1 p2 Shear arm Moment8.25 0.00 8.25 0.5625 0.5625 4.641 4.13 19.14
Weight of Key Concrete
x1 x2 Length p1 p2 Shear arm Moment1.25 0.00 1.25 0.375 0.375 0.469 7.63 3.57
Total Shear (V) = 3.189 kips
Total Moment (M) = 18.301 kip-ft
Calculations: HEEL at stem with no Forces on key, Top of base
Moment and Shear
Force due to water (V) = 3.189 kips
Moment at bottom (M) = 18.301 kip-ft
Flexure Steel Dia. = 0.88 inchesT & S Steel Dia. = 0.88 inches
Required Concrete Cover = 3.00 inchesMinimum Depth based on ShearVu=(DLF)(V) ==> Vu = 5.29 kips Vu<(phi shear(Vc)= ACI 22.5.1.2
47.32 kips > Vu = 5.29 kips OKslab
d min = 4.64 in [Vu/(phi shear)(2)(l mod fctr)(sqrt(f'c))(bw)] ACI 22.5.5.1Actual depth d = 41.56
Vc = 47.32 kips =(phi shear)(l mod fctr)(2)(sqrt(f'c))(b d)] ACI 22.5.5.1As Maximum max = .25 balanced EM 1110-2-2104
1= 0.85 0.85-(0.05*(f'c-4000)/1000) 4000 < f'c <8000 balanced = 0.0285 [((.85 1 f'c)/fy)(87000/(87000+fy))] ACI 22.2.4.3
max = 0.0071 [.25( balanced)]As Maximum = 3.55 in^2 max)(bw)(d)]
ρmin = (200 psi)/fy = 0.0033
As Required
Mn = Mu where Mn = (As fy d)[1-(As fy)/(1.7 f'c b d)]
solve for As to determine area of steel necessary to resist moment
Mu = 30.33 kip-ft [(M)(DLF)]
As = 0.16 in^2 [solved for based on above formula]
Flexure Capacity:[a = (Ass*fy)/(0.85*f'c*b)] Equivalent Depth of Stress Block, a = 0.88 in
[Mn = Φm*0.85*f'c*a*b*(d-a/2)] Concrete Moment Capacity, Mn = 111.2 kip-ft
[ρ = Ass/(b*d)] Reinforcement Ratio, ρ = 0.0012
(from previously) Mu = 30.3 kip-ft if: 1.33
Strength vs. Load Effect, Mn/Mu = 3.67 > 1.33 Ok! if: > 1.33 Ok!if: < 1.33 NG!
As MAX 3.55 sq inAs MIN (INCLUDE YES OR NO) YES 1.66 sq in ACI 9.6.1.2 see note
S & T STEEL = 0.004*Ag/2 <= 1.00 SQ IN 0.36 sq in EM 2104
S & T STEEL = 0.0018*Ag/2 <= 1.00 SQ IN 0.16 sq in ACI 7.12.2.1
(4/3) As REQUIRED 0.22 sq in ACI 9.6.1.3 ACI 10.5.3
As DESIGN 0.36 sq in
NOTE: ACI 10.5.2; 10.5.4 "NO" FOR SLABS AND FOOTINGS
SELECT FLEXURAL REINFORCEMENT
BAR SIZE (3,4,5,6,7,8,9 etc) = 7BAR SPACING (inches) = 12
As (provided) = 0.60 in^2 OK
Is design slab or beam?
Calculations: HEEL at stem with Forces on key
Moment and Shear
Total Shear (V) = 3.2 kips
Total Moment (M) = 21.4 kip-ft
Flexure Steel Dia. = 0.88 inches
Is design slab or beam?
Calculations: (Bottom of Toe)
Calculation of Moment and Shear (Counter Clock Wise Positive)
Base Pressure - Rectangular portion of base pressure
x1 x2 Length p1 p2 Shear arm Moment0.00 2.50 2.50 -1.200 -1.200 -2.999 1.25 3.75
Base Pressure - Triangular portion of base pressure (Assumes maximum pressure is at Toe)
x1 x2 Length p1 p2 Shear arm Moment0.00 2.50 2.50 0 -0.415 -0.519 1.67 0.87
Uplift Pressure - triangular uplift
x1 x2 Length p1 p2 Shear arm Moment0.00 2.50 2.50 0.000 -0.080 -0.100 0.83 0.08
Uplift Pressure - rectangular uplift
x1 x2 Length p1 p2 Shear arm Moment0.00 2.50 2.50 -0.197 -0.197 -0.493 1.25 0.62
Weight of Soil on Toe
x1 x2 Length p1 p2 Shear arm Moment0.00 2.50 2.50 0.4305 0.4305 1.076 1.25 -1.35
Weight of Concrete
x1 x2 Length p1 p2 Shear arm Moment0.00 2.50 2.50 0.5625 0.5625 1.406 1.25 -1.76
Total Shear (V) = -1.628 kips
Total Moment (M) = 2.210 kip-ft
Calculations: (Bottom of Toe)
Moment and Shear
Total Shear (V) = -1.6 kips
Total Moment (M) = 2.2 kip-ft
Flexure Steel Dia. = 0.88 inchesT & S Steel Dia. = 0.88 inches
Required Concrete Cover = 3.00 inchesMinimum Depth based on ShearVu=(DLF)(V) ==> Vu = -2.70 kips Vu<(phi shear(Vc)= ACI 22.5.1.2
47.32 kips > Vu = -2.70 kips OKslab
d min = -2.37 in [Vu/(phi shear)(2)(l mod fctr)(sqrt(f'c))(bw)] ACI 22.5.5.1Actual depth d = 41.56
Vc = 47.32 kips =(phi shear)(l mod fctr)(2)(sqrt(f'c))(b d)] ACI 22.5.5.1As Maximum max = .25 balanced EM 1110-2-2104
1= 0.85 0.85-(0.05*(f'c-4000)/1000) 4000 < f'c <8000 balanced = 0.0285 [((.85 1 f'c)/fy)(87000/(87000+fy))] ACI 22.2.4.3
max = 0.0071 [.25( balanced)]
As Maximum = 3.55 in^2 max)(bw)(d)]
ρmin = (200 psi)/fy = 0.0033
As Required
Mn = Mu where Mn = (As fy d)[1-(As fy)/(1.7 f'c b d)]
solve for As to determine area of steel necessary to resist moment
Mu = 3.66 kip-ft [(M)(DLF)]
As = 0.02 in^2 [solved for based on above formula]
Flexure Capacity:[a = (Ass*fy)/(0.85*f'c*b)] Equivalent Depth of Stress Block, a = 0.88 in
[Mn = Φm*0.85*f'c*a*b*(d-a/2)] Concrete Moment Capacity, Mn = 111.2 kip-ft
[ρ = Ass/(b*d)] Reinforcement Ratio, ρ = 0.0012
(from previously) Mu = 3.7 kip-ft if: 1.33
Strength vs. Load Effect, Mn/Mu = 30.36 > 1.33 Ok! if: > 1.33 Ok!if: < 1.33 NG!
As MAX 3.55 sq inAs MIN (INCLUDE YES OR NO) YES 1.66 sq in ACI 9.6.1.2 see note
S & T STEEL = 0.004*Ag/2 <= 1.00 SQ IN 0.36 sq in EM 2104
S & T STEEL = 0.0018*Ag/2 <= 1.00 SQ IN 0.16 sq in ACI 7.12.2.1
(4/3) As REQUIRED 0.03 sq in ACI 9.6.1.3 ACI 10.5.3
As DESIGN 0.36 sq in
NOTE: ACI 10.5.2; 10.5.4 "NO" FOR SLABS AND FOOTINGS
SELECT FLEXURAL REINFORCEMENT
BAR SIZE (3,4,5,6,7,8,9 etc) = 7BAR SPACING (inches) = 12
As (provided) = 0.60 in^2 OK
Is design slab or beam?
Calculations - Bearing Capacity: (EM 1110-2-2502, Chapter 5)
BEARING CAPACITY = Q
Q= B1[(EcdEciEctEcgCNc)+(EqdEqiEqtEqgqoNq)+(ErdEriErtErgB1§Nr)/2] EQU. 5-2
FOOTING WIDTH, (B)= 12.00 ft.
SOIL DEPTH TOE SIDE (D)= 5.50 ft.
SATURATION HT.TOE SIDE (Dw)= 2.00 ft.
BASE SLOPE, alpha, ()= 8.30 degrees CTWALL
FRICTION ANGLE OF SOIL (0f)= 32.00 deg., Below Footing
FRICTION ANGLE OF SOIL (03)= 32.00 deg., Resisting Wedge
COHESION OF FOUNDATION Cfr= 0.00 k / ft2
SOIL UNIT Wt.,MOIST (§m)= 0.123 k / ft3
SOIL UNIT Wt.,SATUR. (§s)= 0.125 k / ft3
WATER UNIT WEIGHT (§w)= 0.0624 k / ft3
SOIL UNIT Wt.,BOUYANT (§b)= 0.0626 k / ft3
NET HORIZONTAL FORCE (SUM H)= 2.32 kip CTWALL
NET VERTICAL FORCE (SUM V)= 8.27 kip CTWALL
Xr (measured from toe) = 3.24 ft. CTWALL
SURCHARGE LOADING= 0.00 ksf
SOIL SURFACE SLOPE,RISE/RUN= 0.00 deg.
BETA ANGLE ()= 0.00 deg.
EFF. WIDTH OF BASE B1 = B-2e = 2Xr = 6.48
BEARING CAPACITY FACTORS FROM TABLE 5-1 EM 1110-2-2502
Nq = 23.18
Nc = 35.49
Nr = 22.02
EMBEDMENT FACTORS
Ecd = 1+0.2(D/B1)TAN(45+/2) = 1.306 EQU.5-4a
Eqd=Erd = = 1.000 EQU.5-4b IF( = O)
Eqd=Erd = 1+0.1(D/B1)TAN(45+/2) = 1.153 EQU.5-4c IF( >10)
Eqd=Erd = = 1.153
INTERPOLATE BETWEEN EQU. 5-4b AND 4c FOR (O<<=1O)
INCLINATION FACTORS
§o = ARCTAN[(SUM H)/SUM V] = 15.666 DEG.
Eqi=Eci = (1-§o/90)^2 = 0.682 EQU.5-5a
Eri = IF §o > THEN Eri = 0, ELSE,
Eri = (1-§o/)^2 = 0.261 EQU.5-5b
BASE TILT FACTORS ( IN RADIANS)
Eqt=Ert = (1-*TAN)^2 = 0.827 EQU.5-6a
Ect = 1-(2*/+2) = 0.944 EQU.5-6b
Ect = Eqt-[(1-Eqt)/(NcTAN)] = 0.819 EQU.5-6c
Ect = 0.819
GROUND SLOPE FACTORS ( is positive when the ground slopes down and away from the footing.)
Erg=Eqg = [1-TAN(-)]^2 = 1.000 EQU.5-7a
Ecg = 1-[2*(-)/(PI+2)] = 1.000 EQU.5-7b
Ecg = Eqg-[(1-Eqg)/Nc*TAN] = 1.000 EQU.5-7d
Ecg = 1.000
EFFECTIVE OVERBURDEN PRESSURE
qo = (Q+§*D)*COS() = 0.556 EQU.5-8a
0.556 §b*Dw+§m(D-Dw)
EFFECTIVE SOIL UNIT WEIGHT
§ = IF(Dw=0,§m,§b)= 0.0626 ksf
BEARING CAPACITY = 61.50 kips EQU. 5-2
F.O.S. = Q/SUM V= 7.44 EQU. 5-1
F.O.S. Required For = 3.0
Thus, Design is OK
Calculations: Flotation FOS
PartVertical Force (kip)
Horz. Force (kip)
Moment Arm (ft)
Moment (kip-ft)
Structure:
Structure Weight 5.616 -5.45 -30.61
Structure, driving side:Moist soil weight 0.00Saturated soil 3.609 -7.88 -28.44Water above structure 0.00Water above soil 2.42 -7.87 -19.05External vertical loads 0.00Ext. hz. pressure loads 0.00Ext. hz. line loads 0.50 10.20 5.10
Structure, resisting side:
Moist soil weight 1.076 -1.25 -1.35Saturated soil 0.00Water above structure 0.00Water above soil 0.00
Driving side:Effective earth loads 0.00Shear (due to delta) 0.00Hz. Surcharge effects 0.00Water loads 4.455 2.24 9.98
Resisting side:
Effective earth loads 0.00
Balancing earth loads -3.488 -0.86 3.00
Water loads -1.467 -0.67 0.98
Foundation:Vertical force on base -7.848 -3.24 25.43Uplift -4.873 -7.17 34.94
Flotation FOS
Req. FOS (Usual Case) 1.2Ws 10.301 kipWc 0.00 kipS 0.00 kipU 4.87 kip
Wg 2.42 kipCalculated FOS 4.20
EM 1110-2-2100, Table 3-4
Arcadia Floodwalls
PROJECT: Arcadia FeasibilityDESIGNER: Coralys Nunez-OrtaCHECKER: Tony FaresESTIMATOR: Susan Taylor
Date Prepared: 10/23/2019
Type Of Structure Reinforced Concrete T-WallStructure Name Floodwall 1Water Flood EL 100 YEAR + 3'
10' Wall
Wall lengths
Item Description Units QuantitySTA R2 46+00.00 to STA R2 52+07.32 FT 610.00
Site PreparationItem Description Units QuantityExisting Ground Elevation (Varies) FT 730.500Bottom of Excavation (Varies) FT 726.500Wall's length FT 795.000Excavation From B Sprang CY 4707.431Backfill to top of berm CY 4421.759
Slab Concrete and SteelItem Description Units QuantityForms SF 1920.000Reinforcing LBS 85293.953Concrete CY 379.097
Wall Concrete and SteelItem Description Units QuantityForms wall SF 14580.000Reinforcing wall LBS 71690.909Concrete wall CY 265.000
Misc.Item Description Units QuantityU Waterstop LF 192.500Y Waterstop, 9" wide LF 154.000Expansion Joint: Sealant, Backer Rod, Joint Filler LF 500.500Dowels: 2' #11 plus 1' 1.5" metallic tube EACH 101.111Wall Cap, 12"x8", cast in place or precast LF 795.000
11.5' Wall
Wall lengths
Item Description Units QuantitySTA R2 39+31.30 to STA R2 46Ashley Ft 670.00
Site PreparationItem Description Units QuantityExisting Ground Elevation (Varies) FT 726.500Bottom of Excavation (Varies) FT 719.250Wall's length FT 670.000Excavation CY 4136.319Backfill totop of berm CY 3577.986
Slab Concrete and SteelItem Description Units QuantityForms SF 2035.000Reinforcing LBS 78476.186Concrete CY 426.505
Wall Concrete and SteelItem Description Units QuantityForms wall SF 14042.500Reinforcing wall LBS 67827.202Concrete wall CY 317.940
Misc.Item Description Units QuantityU Waterstop LF 166.375Y Waterstop, 9" wide LF 139.150Expansion Joint: Sealant, Backer Rod, Joint Filler LF 444.675Dowels: 2' #11 plus 1' 1.5" metallic tube EACH 90.444Wall Cap, 12"x8", cast in place or precast LF 670.000Sheetpile, PZ 22, transition into levee, 2 places SF 172.500
Between Main and River Streets
Ashley
FTSTA R2 36+02.43 to STA R2 37+85.30 185.00
Arcadia
PROJECT Arcadia FeasibilityDesigned By Coralys Nunez-OrtaChecked By Tony Fares
Date Prepared 24/10/2019
Type Of Structure Swing Gate Closure Structures 100 YEAR + 3'
Units Main St. Closure River St. Closure East RR ClosureFT 68.00 38.00 42.00FT 3.25 4.00 5.50FT 124.00 94.00 98.00FT 11.00 11.00 12.00FT 2.00 2.00 2.00FT 1.50 1.50 1.50FT 3.50 3.50 3.50FT 6.75 7.50 9.00FT 66.00 36.00 40.00FT 4.00 4.00 4.00FT 12.75 13.50 15.00
Elev 735.00 735.00 737.00Elev 730.50 730.50 731.50Elev 723.50 723.50 724.25FT 7.00 7.00 7.25FT 131.00 101.00 105.25FT 18.00 18.00 19.25
Units Quantity Quantity QuantityCY 611.33 471.33 544.04CY 432.46 341.35 390.98
Units Quantity Quantity QuantitySF 518.00 398.00 416.00
LBS 13359.58 10170.94 11413.70CY 101.04 76.59 87.11
Units Quantity Quantity QuantitySF 3346.00 1954.00 2406.00
LBS 19959.66 12270.13 14567.59CY 77.83 53.39 65.94
Units Quantity Quantity QuantitySF 330.00 165.00 360.00
Units Quantity Quantity QuantityLBS 2256.04 1551.67 2358.13LBS 5401.34 3662.12 4344.96LBS 829.01 877.77 975.30LBS 300.00 300.00 300.00LBS 666.40 372.40 411.60FT 74.50 46.00 53.00
Frame MembersPostsMisc Steel Parts Sill, Channel C7*9.8Seal, Hallow Bulb, J Seal
Skin Plate, 1/4" thick
ReinforcingConcrete
Sill, Piers and Walls ConcreteItem DescriptionFormsReinforcingConcrete
Sheep pile @ ends to integrate into leveeSheet Piling PZ22
Swing Gate, welded and painted A36 steel, made of skin plate HSS frame and post members, hinges and rodsItem Description
Forms
Existing Ground Surface ElevationBottom of Excavation ElevationDepth of ExcavationExcavation Length at BottomExcavation Width at Bottom
Site PreparationItem DescriptionExcavationBackfill Material from Excavation
Base Slab ConcreteItem Description
Top of closure line of protection
Closure WidthClosure HeightBase LengthBase WidthThickness of BaseSill and Walls ThicknessSill Height above SlabWalls Height above SlabWalls LengthPiers ThicknessPiers Height above Slab
1