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Lateral Design Considerations for Mid-Rise Wood Structures
Marselle Condominiums Trochalakis, PLLC Photographer: Matt Todd Photographer
5 stories of wood over 6 stories concrete (podium) 2 above grade
By: R. Terry Malone, PE, SESenior Technical DirectorArchitectural & Engineering Solutionswww.woodworks.org
E-mail: [email protected]
120 Union, San Diego, CATogawa Smith Martin
This presentation is copyrighted by Woodworks
Mid-rise Codes and Standards
CrescentTerminusbuilding- credit:RichardLubrant.
The analysis techniques provided in this presentation are intended to demonstrate one method of analysis, but not the only means of analysis. The techniques and examples shown here are provided as information for designers to consider to refine their own techniques.
Course Description
Research, full-scale testing and code requirements continue to evolve for mid-rise construction. This presentation will focus on important engineering considerations related to the lateral design of mid-rise* wood buildings. Implementation of a well-considered design requires the understanding of diaphragm and shear wall flexibility and their effects on the horizontal distribution of forces through the structure. In mid-rise, multi-family buildings, corridor only shear walls are becoming very popular as a way to eliminate exterior shear walls. The special design issues this situation creates will be addressed.
*Definition:A mid-rise building can be described as something between a high-rise and low-rise structure —that is, between four and ten stories with heights ranging between 35 to 75 feet tall.
Learning Objectives• Design Considerations
Discuss important lateral engineering issues that need to be considered to successfully design a mid-rise structure.
• Diaphragm and Shear Wall FlexibilityUnderstand the relationship between diaphragm and shear Wall stiffness on the horizontal distribution of shears within a mid-rise structure.
• Tall Shear Walls With Multi-story EffectsDiscuss the behavior of shear walls under multi-story effects and the impact on the distribution of shear forces within the structure.
• Overview-Open Front and Non-Open Front StructuresReview key points in the analysis of open front diaphragms and non-open front designs.
Presentation Topics
• Design Considerations
• Complete Load Paths
• Diaphragm Flexibility
• Tall Shear Walls-Flexibility
• Horizontal Distribution of Shears
• Overview-Mid-rise: Exterior shear Walls
• Overview-Mid-rise: Open Front
120 Union, San Diego, CATogawa Smith Martin
Design ConsiderationsMethods of analysis for open-front or tall shear wall mid-rise structures are currently evolving as more complex building geometries are becoming more prevalent. Building shapes and footprints are driving the design procedures for all lateral resisting systems and materials.
Design requirements:
• IBC1604.4- Analysis:o Method of analysis shall take into account equilibrium, general stability,
geometric compatibility, and both short-and long term material properties.
o Shall be based on rational analysis in accordance with well established principals of mechanics. Analysis shall provide complete load paths.
Considerations:
• Make sure that you have complete continuous lateral load paths.
• Address vertical / horizontal irregularities.
• Investigate diaphragm and shear wall flexibility/stiffness.
• Consider the multi-story effects on shear wall stiffness.
• Check the effects of offset diaphragms and shear walls.
• Verify the horizontal distribution of forces within the diaphragm and to the shear walls.
76’
35’
6’
35’
Open Front & Non-open Front Floor Plan w/ and w/o offsets
7654321
Typical Unit
F
C
B
A
D
E
Open Front
Non-Open Front
8
SWTypical
SWTypical
Typical Unit
• ASCE 7-10 Section 12.3.1.1- (c), Light framed construction, meeting all conditions:
§ Longitudinal-Typically permitted to be idealized as flexible, provided exterior shear walls of adequate stiffness exist. However, diaphragm can be semi-rigid, rigid or open front, even if exterior walls exist.
§ Transverse-Traditionally assumed to be flexible diaphragm.
§ If token or questionable wall stiffness occurs at the exterior wall line, consider using semi-rigid analysis using the envelope method-(conservative), or semi-rigid, or idealize as rigid.
Non-open front
Open Front Structures:• SDPWS 4.2.5.2 :
§ Loading parallel to open side - Model as semi-rigid, which shall include shear and bending deformation of the diaphragm, or it can be idealized as rigid.
§ Loading perpendicular to open side (Transverse)-traditionally assumed to be flexible.
§ Drift at edges of the structure ≤ the ASCE 7 allowable story drift whensubject to seismic design forces including torsion, and accidental torsion(strength, multiplied by Cd). No set drift requirements required for wind (Drift can be tolerated).
Includes flexible and rigid analysis
Presentation Topics
• Design Considerations
• Complete Load Paths
• Diaphragm Flexibility
• Tall Shear Walls-Flexibility
• Horizontal Distribution of Shears
• Overview-Mid-rise: Open Front
• Overview-Mid-rise: Exterior shear Walls
120Union,SanDiego,CATogawaSmithMartin
Strut/chord
Open
3
4
4
21
FE
D
C
B
5 8 96 7
Strut/chord St
rut (
typ.
)
Strutchord
Strut chord
Strut /chord
Strut/chord
Strut/chord
SW1
SW5
SW2SW3 SW4
Stru
t
MR
F1
Multiple offsets
Offset struts
Support Support
Col
lect
or
Collector
Collector(typ.)
Collector(typ.)
Collector (typ.)
Col
lect
or (t
yp.)
Analysis: ASCE7-10 Sections:• 1.3.1.3.1-Design shall be based on a rational analysis• 12.10.1-At diaphragm discontinuities such as openings and re-entrant
corners, the design shall assure that the dissipation or transfer of edge (chord) forces combined with other forces in the diaphragm is within shear and tension capacity of the diaphragm.
Complete Load PathsDiscontinuousdiaphragm chords
Offset shear wallsand struts
ASCE7-10 Section 1.4-Complete load paths are required including members and their splice connections
Openingin diaph.
Vertical offset indiaphragm
SW8
10
A
Strut/chord
Open
3
4
5
21
FE
D
C
B
6 9 107 8
Strut/chord St
rut (
typ.
)
Strutchord
Strut chord
Strut /chord
Strut/chord
Strut/chord
SW1
SW5
SW2SW3
SW6
SW4
Stru
t
MR
F1
Support Support
Col
lect
or
Collector
Collector(typ.)
Collector(typ.)
Collector (typ.)
Col
lect
or (t
yp.)
A
Complete Load Paths
ASCE7-10 Section 1.4-Complete load paths are required including members and their splice connections
SW7
SW8
Transfer area
Collectors for shear transfer to individual full-height wall segments shall be provided.
SDPWS 4.3.5.1Where offset walls occur in the wall line, the shear walls on each side of the offset should be considered as separate shear walls and should be tied together by force transfer around the offset (in the plane of the diaphragm).
4
Presentation Topics
• Design Considerations
• Complete Load Paths
• Diaphragm Flexibility
• Tall Shear Walls-Flexibility
• Horizontal Distribution of Shears
• Overview-Mid-rise: Exterior shear Walls
• Overview-Mid-rise: Open Front
120Union,SanDiego,CATogawaSmithMartin
Average drift of walls
Is maximum diaphragm deflection (MDD) >2x average story drift of vertical elements,using the Equivalent Force Procedure of Section 12.8?
Maximum diaphragm deflection
Envelope MethodAllowed for semi-rigid modelling
Is diaphragm untopped steel decking or Wood Structural Panels
Idealize as
flexible
Is span to depth ratio ≤ 3and having no horizontal irregularities ?
Is diaphragm concrete slab or concrete filled steel deck ?
Structural analysis must explicitly include consideration of the stiffness of the diaphragm (i.e. semi-rigid modeling), or calculated as rigid in accordance with 2015 IBC Section 1604.4 or ASCE 7-10 Section 12.3.1.3.
12.3.1.1- Is any of the following true?
1 & 2 family Vertical elements one Light framed constructionDwelling of the following : where all of the following are
met:1. Steel braced frames 1. Topping of concrete or2. Composite steel and similar material is not
concrete braced frames placed over wood structural3. Concrete, masonry, steel SW panel diaphragms except
or composite concrete and for non-structural topping steel shear walls. not greater than 1 ½” thick.
2. Each line of vertical elements of the seismic force-resisting system complies with the allowablestory drift of Table 12.12-1.
Idealizeas rigid
Idealize asflexible
Yes
YesYes
No
No
No
NoNo
Star
tASCE7-10 Section 12.3 Diaphragm Flexibility Seismic
Yes
Yes
Section 12.3.1- The structural analysis shall consider the relative stiffnesses of diaphragms and the vertical elements of the lateral force resisting system.
(Could apply to CLT or Heavy timber diaphragms)
Is diaphragm untopped steel decking , concrete filled steel decks or concrete slabs, each having a span-to-depth ratio of two or less?
Yes
Yes
No
Diaphragm canbe idealized asflexible
Is diaphragm ofWood Structural Panels ?
Diaphragm canbe idealized asrigid
No
Is diaphragm untopped steel decking , concrete filled steel decks or concrete slabs, each having a span-to-depth ratio greater than two ?
Justify by Calculation as flexible, semi-rigid or rigid per 2015 IBC Section 1604.4 or ASCE 7-10 Section 12.3.1.3.
ASCE7-10, Section 26.2 Diaphragm Flexibility Wind
Start
Yes
ASCE 7-10 Section 27.5.4-Diaphragm flexibilityThe structural analysis shall consider the stiffness of diaphragms and vertical elements of the MWFRS
Wind
Presentation Topics
• Design Considerations
• Complete Load Paths
• Diaphragm Flexibility
• Tall Shear Walls-Flexibility
• Horizontal Distribution of Shears
• Overview-Mid-rise: Exterior shear Walls
• Overview-Mid-rise: Open Front
120 Union, San Diego, CATogawa Smith Martin
Current Examples of Mid-rise Analysis-Traditional Method
• APEGBC Technical & Practice Bulletin � Revised April 8, 2015 “5 and 6 Storey Wood Frame Residential Building Projects (Mid-Rise)”-Based on FPInnovations Mechanics Based Approach
• FPInnovations-Website ”Seismic Analysis of Wood-Frame Buildings on Concrete Podium”, Newfield
• Shiotani/Hohbach Method-Woodworks Slide archivehttp://www.woodworks.org/wp-content/uploads/HOHBACH-Mid-Rise-Shear-Wall-and-Diaphragm-Design-WSF-151209.pdf
• Design Example: ”Design of Stacked Multi-Storey Wood-Based Shear Walls Using a Mechanics-Based Approach ”, Canadian Wood Council
Current Examples of Shear Wall Multi-story Effects and Mid-rise Analysis
FPIMBA
Traditional+ moment
Traditional
• 2016 WCTE: A Comparative Analysis of Three Methods Used For Calculating Deflections For Multi-storeyWood Shear Walls: Grant Newfield, Jasmine B. Wang
• FPInnovations-Website ”A Mechanics-Based Approach for Determining Deflections of Stacked Multi-Storey Wood-Based Shear Walls”, Newfield
NEW
http://www.woodworks.org/education/online-seminars/• Thompson Method-Woodworks Website
Webinarhttp://www.woodworks.org/wp-content/uploads/5-over-1-Design-Example.pdf
Paper
Current Examples of Mid-rise Analysis-Mechanics Based Approach
• SEAOC/IBC Structural Design Manual, Volume 2. 2015. Structural Engineers Association of California. Sacramento, CA
Not currently addressed or required by code
StackedShearWallElevationTraditionalMethod-Thompson Example
Source:WoodWorks Five-StoryWood-FrameStructureoverPodiumSlabDesignExample
Traditional Shear Walls: • Max. A/R=3.5:1• Walls assumed to be pinned at
top and fixed at the bottom at eachfloor,
• rigid wall sections and, • out-of-plane diaphragm stiffness-
rigid • Doesn’t account for multi-story
shear wall effects
∆"#=%&'(
)*++ &'
.///01+ '∆1
+
+
+
VR
V3
V2
∆2= ∆34.+∆345 + ∆34(
++
Shiotani / Hohbach Method
Equivalent beam/column
∆34=6 78'8
5 (92 −'8;)<2
VR
V3
V2
• The equation is judged to be adequate as long as the aspect ratios of the walls are reasonable
• Shear wall deflections are approximated based on this equation and extrapolated for multistory behavior.
• Shear walls for this building type have continuous rod tie down systems that are integral to their multistory behavior.
• column elements simplify the model, over shell or plate elements.
• Calculate the deflection of the wall’s story(s) components
• A column section is used, then back calculated for the required moment of inertia to produce the expected deflection at the top of the multi-story shear wall.
• The sum of those deformations are greater than the traditional multi-story shear wall deflections
Procedure• Break the wall up into multi story components
• Provides a reasonable approximation for shear wall deflection (conservative).
Hohbach-Lewin, Inc.-Structural and Civil Engineers
• It also captures the flexural deformation of the full height wall.
∆34=6 78'8
(
()<278
A/R h/d ≤ 2:1
New Research and Analytical methods-Tall Shear WallsCurrently not addressed or required by code:Engineering preference and/or judgement
• Current research suggests that The traditional method of shear wall analysis might be more appropriate for low-rise structures.
Trad
ition
al
Met
hod
Tall
Wal
lM
etho
d
Testing shows that the traditional deflection equation is less accurate for walls with aspect ratios higher than 2:1.(Dolan)
Tall Shear WallMBA
Floor to floor A/R’s and Stiffness of Shear Walls
• Multi-story walls greater than 3 stories should:
§ Consider flexure and wall rotation.
§ Rotation and moment from walls above and wall rotation effects from walls below.
=>
Tall =>
Stiff
ness
bas
ed a
ppro
ach
∆?@@AB CDAEFGEHID
Allowable story drift for traditional and tall shear walls is checked floor to floor.
Total displ. of Tall Wall. More flexible.
A/R=3.5:1flr.-flr.
Total displ. Traditional walls
A/R=2:1flr.-flr.
Act
ing
as a
con
tinuo
us w
all
∑K8L85
5 )< 8+ ∑78 L(
( )< 8
Moment from walls above
Rotation from walls above and below.
Rim joist
Should consider as flexible because it is unknown where rim joist splices will occur
Platform framed
Semi-balloon framed(Very flexible)
Flexibility does not allow dead load to aid in resisting wall rotation
Stiffness might allow dead load to aid in resisting wall rotation, provided joints are strategically placed. (justify by calculation)
If diaphragm out-of-plane stiffness=FlexibleAnalyze entire wall as a tall wall
If diaphragm out-of-plane stiffness=Rigid (steel beam, conc. beam) Analyze entire wall as traditional floor to floor
Compression blocking
V
CT
M
Diaphragm out-of-planeFlexibility
Tall Wall Deflection
α1
θ.
∆1
α2
θ2
∆2
+
θ3
∆3
+α3
θ4
∆4
+α4
∆5
+N. L5 + L(
N. L5
N. L5 + L( + LO
N. L5 + L( +LO + LP
+α.(L. + L5)
98
α1
α.L.98
α.(L. +L5)
98
Deflection-Bending Deflection-Wall rotation)
TUV@WGXG HU∆.
translates to top translates to top
(Wall rotation)
+ +
+Rotation
+α.(L. + L5+L()
98
+α.(L. + L5+L( + LO)
98
+α.(L. + L5+L( +LO + LP)
98
∆8=∑K8L8
5
5 )< 8+ ∑78 L(
( )< 8+ 78L80&,8Z&,8
+ 0.75L8[\,8 +L898]1,8 + L8 ∑
K^L^)< ^
+7^L^
5
5 )< ^+ L8 ∑
]1,^9^
8_.^`. 8_.
^`.
Note:Increased wall flexibility can increase the period of the building, lowering the seismic force demands.
Presentation Topics
• Design Considerations
• Complete Load Paths
• Diaphragm Flexibility
• Tall Shear Walls-Flexibility
• Horizontal Distribution of Shears
• Overview-Mid-rise: Exterior shear Walls
• Overview-Mid-rise: Open Front
120Union,SanDiego,CATogawaSmithMartin
Distribution of shear to vertical resisting elements shall be based on:
• Analysis where the diaphragm is modeled as :o Idealized as flexible-based on tributary area.
o Idealized as rigid-Distribution based on relative lateral stiffnesses of vertical-resisting elements of the story below.
o Modelled as semi-rigid. § Not idealized as rigid or flexible§ Distributed to the vertical resisting elements based on the relative stiffnesses of the
diaphragm and the vertical resisting elements accounting for both shear and flexural deformations.
§ In lieu of a semi-rigid diaphragm analysis, it shall be permitted to use an enveloped analysis.
Average drift of walls
Maximum diaphragm deflection (MDD) >2x average story drift of vertical elements, using the ELF Procedure of Section 12.8?
Maximum diaphragm deflection
Calculated as Flexible
• More conservatively distributes lateral forces to corridor, exterior and party walls
• Allows easier determination of building drift• Can over-estimate torsional drift• Can also inaccurately estimate diaphragm
shear forces
• Can under-estimate forces distributed to the corridor walls (long walls) and over-estimate forces distributed to the exterior walls (short walls)
• Can inaccurately estimate diaphragm shear forces
Note:Offsets in diaphragms can also affect the distribution of shear in the diaphragm due to changes in the diaphragm stiffness.
2015 SDPWS 4.2.5 Horizontal Distribution of Shear (Revised)
I1 I2 I3Rigid or spring Support ??
Exte
rior
shea
r w
alls
Rigid support orPartial support
Support Support
TD1
TD2
TD1
TD2
I1I2I3
Wind Loads as applicableSeismic Loads
Support Support
Full support(SW rigid)
Partial support(DecreasingSW stiffness)
No SW support
If flexible diaphragm
Corridor only SWCondition B
Condition A Condition C
• Flexible• Semi-rigid• Rigid
• Semi-rigid• Rigid
Unit with Exterior Wall Unit without Exterior Wall
Varying Degrees of Stiffness Effects of Exterior Walls
Multi-story Effects of Tall Shear Walls
Note that possible changes in diaphragm flexibility can occur from floor to floor: non-open front (flexible) vs. non-open front/open front (rigid or semi-rigid).
open front?
Semi-rigid?
Flexible?
Effects of openings?
Presentation Topics
• Design Considerations
• Complete Load Paths
• Diaphragm Flexibility
• Tall Shear Walls-Flexibility
• Horizontal Distribution of Shears
• Overview-Mid-rise: Exterior shear Walls
• Overview-Mid-rise: Open Front
120Union,SanDiego,CATogawaSmithMartin
The following information is from an on-going example calculation and is subject to further revisions and validation. The information provided is project specific, and is for informational purposes only. It is not intended to serve as recommendations or as the only method of analysis available.
76’
156’
35’
6’
35’
Case Study-Non-Open Front Floor Plan With Offsets
26’ typ.
Typical Unit
7654321
F
C
B
A
1.33 1.67
D
E
A.5
E.5
SW5SW4
SW3SW2
SW1
11.5’ 23’
27’ 35’
Varies’
• Flexible analysis• Rigid analysis• Semi-rigid (Envelope)
• ASCE 7-10 Section 12.3.1.1- (c), Light framed construction, meeting all conditions:§ All Light framed construction§ Non-structural concrete topping ≤ 1 ½”§ Each elements of the seismic line of vertical force-resisting system complies with the
allowable story drift of Table 12.12-1§ Longitudinal-Allowed to be idealized as flexible, provided exterior shear walls exist and
is in compliance with ASCE 7-10 Section 12.3.1.1 (c). If calculations show that the story drift at a line of lateral force resistance exceeds the allowable limit, flexible diaphragm behavior cannot be used.
Open Front
Non-Open FrontMax. A/R=4:1
ATS isolator nut take-up deviceand bearing plate
Coupler
Steel rod
Semi-balloon framing
Platform framing
Automatic Tensioning Systems/Devises
• Restraints are required at roof and each floor level to get best results
• Software programs are available for design
• Must be installed per manufacturers recommendations
Number and size of studs as required by design
Anchorage into foundation as required by calculation and per manufacturers recommendations
Ove
rtur
ning
Res
ista
nce
26’ Cor
ridor
∆ 34abcc.
6’
8’
12’
4’
4’
27’
11.5
’3’
11.5
’
Displ.I1I2I3
Computer Model
Tall or narrow SW
Full depth
M
V
35’
156’
Sym.C.L.
3’23
’Seismic
Moderately stiff. support
. Positive moment
∑ Kdiaph.
Shear Deflection per USDA Research Note FPL-0210
∆e81f'
∆"#*&[c.
∆O∆(∆5∆.
∆O∆(∆5∆.
9’ 9’ 9’ 4’ 4’
Cor
ridor Ext.
SW
∆ 34abcc .
∆ 34[gZ
∆34[gZ
Torsion + acc. torsion
Bending
Check Total deflection-Diaphragm flexibility
Check exterior SW stiffness effectsOffs
et
Offs
et
Shear DeflectionNail slip deflection
Determination of Non-Open Front Diaphragm Flexibility
∆ *&[c.34
∆34[gZ
From Tall wall calc.
From Tall wall calc.
Bending Stiffness = *]5
5
Corridor
Sym.C.L.
5g∆ *
&[c.34
Bending increases at start of offset
Roof Plot- Longitudinal Loads- A/R*=1.5:1 (8’ wall)
Base Line=0
Base Line=0
Base Line=0
End
Offs
et
Offs
et
51.13 k46.4 k43.21 k
80.48
414.2’k
526.55’k
692.1’k
Full cantilever
A/R 1.5:1 wallA/R 2:1 wall
A/R 3.5:1 wallNot fullsupport
Full cantilever
Partialsupport
*Aspect ratios Floor to Floor
Determine Diaphragm and TD Nailing, and Chord ForcesSym.C.L.
TD1TD2
TD1TD2I1I2
I3
26’ 6’
8’
12’
4’
4’
27’11
.5’
3’11
.5’
35’
3’
23’
156’
Chord Slip at TD
TD1
TD2
Longitudinal Loading
Collector 2
Collector 1
TD1 Shear
TD2 Shear
Basic Diaphragm Shear
Drift by semi-rigid or rigid analysis only (Open front)
Spring support If Shear walls
+
Same as
=
Check Story Drift-3D model or 2D plane Grid
+Same
as
=
Collectors
C.M.
ASCE 7-10 12.8.6Story drift check(Non-open front)
W1
W2
or
Collectors
Story Drift Check Longitudinal + Torsion (8’ ext. walls)
Significant shear distributed to corridor walls (cantilever action)
Notice curvature (bending) of offset sections
Maximum drift(open front)
C.M.
ASCE 7-10 12.8.6Story drift check(Non-open front)
Presentation Topics
• Design Considerations
• Complete Load Paths
• Diaphragm Flexibility
• Tall Shear Walls-Flexibility
• Horizontal Distribution of Shears
• Mid-rise: Exterior shear Walls
• Overview-Mid-rise: Open Front
120Union,SanDiego,CATogawaSmithMartin
The following information is from an on-going example calculation and is subject to further revisions and validation. The information provided is project specific, and is for informational purposes only. It is not intended to serve as recommendations or as the only method of analysis available.
Relevant 2015 SPDWS Sections
New definitions added:• Open front structures• Notation for L’ and W’ for
cantilever Diaphragms
Relevant Revised sections:• 4.2.5- Horizontal Distribution
of Shears• 4.2.5.1-Torsional Irregularity• 4.2.5.2- Open Front Structures
(a)
L’
W’
Force
Cantilever DiaphragmPlan
Open front
SW
SW
L’Cantilever DiaphragmPlan
W’
Open front
SW
SW
SWForce
L’
W’
Open front
SW
SW Force
Cantilever Diaphragm
Figure 4A Examples of Open Front Structures
(d)
L’
W’Open front
SW
SW
Force
Cantilever Diaphragm
SW
SWL’
Cantilever Diaphragm
(c)(b)
Open front
4.2.5.2 Open Front Structures: (Figure 4A)For resistance to seismic loads, wood-frame diaphragms in open front structures shall comply with allof the following requirements:
1. The diaphragm conforms to:a. WSP-L’/W’ ratio ≤ 1.5:1 4.2.7.1b. Single layer-Diag. sht. Lumber- L’/W’ ratio ≤ 1:1 4.2.7.2c. Double layer-Diag. sht. Lumber- L’/W’ ratio ≤ 1:1 4.2.7.3
2. The drift at edges shall not exceed the ASCE 7 allowable story drift when subject to seismicdesign forces including torsion, and accidental torsion (Deflection-strength level amplified by Cd. ).
3. For open-front-structures that are also torsionally irregular as defined in 4.2.5.1, the L’/W’ ratio shall not exceed 0.67:1 for structures over one story in height, and 1:1 for structures one story in height.
4. For loading parallel to open side:a. Model as semi-rigid (min.), shall include shear and bending deformation of the diaphragm,
or idealized as rigid.
5. The diaphragm length, L’, (normal to the open side) does not exceed 35 feet.
76’
156’
35’
6’
35’
Case Study-Open Front Floor Plan With Offsets
26’ typ.
Typical Unit
7654321
F
C
B
A
1.33 1.67
D
E
A.5
E.5
SW5SW4
SW3SW2
SW1
11.5’ 23’
27’ 35’
• Rigid analysis• Semi-rigid (Envelope)
Open Front
Non-Open Front
Corridor walls typical
Shear panels are required over corridor walls
Transverse shear wallstypical
No exterior shear wallstypical
Determination of Open Front Diaphragm Flexibility
26’
Cor
ridor
Corridor only shear walls
.∆ 3
4
∆e81f'I1I2I3
Computer Model
6’
8’
12’
4’
4’
27’
11.5
’3’
M
V
23’
156’
Sym.C.L.
3’
K1
Full depth
Seismic
Bending ∆
∑ Kdiaph.
Shear Deflection per USDA Research Note FPL-0210
∆(
Shear DeflectionNail slip deflection
L’ Limit= 35’
• Check drift at edges (extreme corners) including torsion plus accidental torsion (Deflection-strength level x Cd. )
• Seismic-meet ASCE7 drift• Wind-deflections can be tolerated.
Torsion + acc. torsion
Corridor
Sym.C.L.
Final Diaphragm (Total) Deflections
∆O∆(∆5∆.
9.5’ 9.5’ 8’ 4’ 4’
Corr
idor
∆ 34abcc .
Roof
5th Floor
4th Floor
Cor
ridor
. ∆e81f'
6’
8’
12’
4’
4’
27’
11.5
’3’
23’
∆ 34abcc . 35’
∆O∆(∆5∆.
9.5’ 9.5’ 8’ 4’ 4’Co
rrid
or
∆ 34abcc .
∆O∆(∆5∆.
9.5’ 9.5’ 8’ 4’ 4’
Corr
idor
∆ 34abcc .I1I2I3
Seismic
Check for diaphragm flexibility
Verify Diaphragm Flexibility:• If flexible, add blocking• If still flexible, decrease nail spacing
to stiffen up
Reference Materials
http://www.woodworks.org/wp-content/uploads/Irregular-Diaphragms_Paper1.pdf
• The Analysis of Irregular Shaped Structures: Diaphragms and Shear Walls-Malone, Rice-Book published by McGraw-Hill, ICC
• Woodworks Presentation Slide Archives-Workshop-Advanced Diaphragm Analysis
• NEHRP (NIST) Seismic Design Technical Brief No. 10-Seismic Design of Wood Light-Frame Structural Diaphragm Systems: A Guide for Practicing Engineers
• SEAOC Seismic Design Manual, Volume 2
• Woodworks-The Analysis of Irregular Shaped Diaphragms (paper). Complete Example with narrative and calculations.
Method of Analysis and Webinar References
DiaphragmsOpeningsOffsetShearWallsOffsetDiaphragms
Mid-riseDesignConsiderations
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R. Terry Malone, P.E., S.E.Senior Technical DirectorWoodWorks.org
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This concludes Woodworks Webinar on:Lateral Design Considerations for Mid-rise Structures