design chart
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Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P1
CORCON
Desi n, Construction and Technical Information Manual
SIMPLE DESIGN CHART & SAMPLE CALCULATIONS
INDEX
DESIGN CONSIDERATIONS P2
SIMPLE DESIGN LOAD AND SPAN CHARTS FOR CORCON P3
SAMPLE CALCULATION P6
BEAM DESIGN P15
REFERENCE FIGURES FOR DESIGN P24
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Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P2
CORCON
Desi n, Construction and Technical Information Manual
DESIGN CONSIDERATIONS
CORCON
is a hybrid moltiribbed slab +beam system using the best properties of a slabcoupled with all the advantages of the beam used to stiffen the slab in deflection.
CORCON is a flexible system that can be applied to any span and loading
configuration by the use of inserts which can be used to vary the depth of the CORCON
rib beams - from a nominal 50 m2
depression to 300 m2
deep for extra heavy loads and or
long Spam over 8 to 9m. Also by reducing the (c to c) centre to centre spacing from 1200
m2
and continuity the spam can be increased to 26m using post-tensioning.
Small spans - say 3m- use CORCON
with "FLAT" insert mould (see the Figure below):
If require structural primary beams could always use upstand beams subject to
requirements. (see the Figure below):
This upstand systems allows continuous layting ofCORCON ribs.
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Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P3
CORCON
Desi n, Construction and Technical Information Manual
SIMPLE DESIGN LOAD AND SPAN CHARTS FOR CORCON
Beams @ 1200 Centres
Single SpanAllowable superimposed live load (KPa)
C to C spans metresBeamDepth
d mm
Reqd
bar
size
overla
p
AvgConc
.vol
m3/m2*
Totaldepth
mm 4.0 5.0 5.5 6.0 6.5 7.0 7.5 8.0 8.5 9.0 10.0 11.0 14.0
50 2Y12 0.12 184 3
75 2Y12 0.12 209 5 .5^
100 2Y12 0.12 234 5 1.5150 2Y12 0.12 284 5 2.5 1
200 2Y12 0.12 334 4 4 2 1^
250 2Y16 0.13 384 5 5 3.5 2 0.3 3**
300 2Y16 0,14 414 5 5 4 2 1^ 5** 3** 2***
1.5 hour fire rating, stc 49, min cover 85mm,
f62 mesh top & 1/250 deflection
* based on 20m2 room
^ roof loads
** post tensioned
*** continuous post tensioned built in primary beam
Single Span
Allowable superimposed live load (KPa)
C to C spans metresBeam
Depth
d mm
Reqdbar
sizeoverlap
AvgConc.
volm3/m2*
Total
depth
mm 3.0 3.5 4.0 4.5 5.0 5.5 6.0 6.5 7.0 7.5 8.0 8.5 9.0 9.5
50 2Y12 0.10 164 5 5 3 1 1
100 2Y12 0.10 214 5 4.5 2.5 .05
150 2Y12 0.10 264 5 3.5 1.5
200 2Y12 0.11 314 4 2 1
250 2Y16 0.11 364 5 5 4 2 1.5 0.5
300 2Y16 0.12 414 5 5 5 3.5 2 1
0.5-hour fire rating, min cover 65mm,
f62 mesh top & 1/250 deflection
* based on 20m2 room
^ roof loads
Continuous Span
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Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P4
CORCON
Desi n, Construction and Technical Information Manual
Allowable superimposed live load (KPa) and
deflection to span ratio.
C to C spans metres
BeamDepth
d mm
Reqdbar
sizeoverlap
AvgConc.
volm3/m2*
Totaldepth
mm5.0 5.5 6.0 6.5 7.0 7.5 8.0 8.5 9.0 9.5
10.0
10.5
11.0
50 2Y12 0.12* 184
2
1/2
70
75 2Y12 0.12* 209
21/2
75
100 2Y12 0.12* 234
2
1/300
150 2Y12 0.12* 284
2
1/2
75
200 2Y12 0.13* 334
2
1/2
75
250 2Y16 0.13* 384
2
1/3
50
2
1/3
00
300 2Y16 0.13* 434
2
1/3
50
2
1/3
00
2
1/2
50
1.5 hour fire rating, stc 49, min cover 85mm,
f62 mesh & y16 @ 1200mm top
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Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P5
CORCON
Desi n, Construction and Technical Information Manual
SELECTED SECTION PROPERTIES
b = 110mmB = 155MmD = 485mmd = 300mm
Fck = 30N/mm2Fy = 460N/mm2
Conc. Cover = 25mmRib Spacing = 900mm
Cross sectional Area = 177954.57mm2
Moment of Inertia Ixx = 2468.22E6 mm4Reinforcement at Mid-Span = 2 * T16 mm Dia.Reinforcement at Supports = 3 T 12mm Dia.Moment Capacity at Mid Span = 69.08KN-mSection Capacity at Support = 81.03Actual Deflection = 1.14mmShear Capacity = 0.86N/Sq.mmShear Reinforcement = Please check CORCON test Results.Concrete Volume per Sq.m of Plan Area = 0.15Cub.mReinforcement per Sq.m of Plan Area = 0.26Kg
B
dD
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Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P6
CORCON
Desi n, Construction and Technical Information Manual
SAMPLE CALCULATION
PROJECT
The Sukhothai BangkokJOB REF
DECOIN PTY LTDACN 008 625 590ABN 30 008 625 590
CALCULATION BY
Upul Perera
CHECKED
BY
CALC SHEET
PART OF
STRUCTURE
PRINTED BYDecoin Pty Ltd
DATE09/02/2003
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Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P7
CORCON
Desi n, Construction and Technical Information Manual
MEMBERREF
LOAD CALCULATIONS
Loading (Guest Room Area)
(A) Rib Self weight = 3.36kN/m2
Screed + Finishes = 1.177kN/m
2
Services = 0.225kN/m
2
Ceilings = 0.225kN/m
2
Partitions =421.8
434.3
kN/m2 - DL
Imposed Lead 1.962kN/m
2- LL
n= 14.93 kN/m2
(ult)
Udl for Ribs DL = 8.421 x 1.2 = 10.1 kN/m
LL = 1.962 x 1.2 = 2.4 kN/m
(B) Plant Room Area
Rib Self wt. = 3.36Screed = 1.1772
Services =7622.4
225.0
kN/m2
- DL
Live Leads = 7.35 8kN/m
2- LL
N= 18.439 kN/m2
(ULT)
Udl for Ribs DL = 5.715 kN/m
LL = 8.829 kN/m
(C ) Storage Room,Rib self wt. = 3.36 kN/m
2
Screed = 1.177
Services =7622.4
225.0-
kN/m2
- DL
Imposed Load 4.905 -kN/m2 - LL
OUT PUT
R
efer
ences
to
B
S
8110
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Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P8
CORCON
Desi n, Construction and Technical Information Manual
UDL for Ribs, DL = 5.715 kN/m
LL = 5.886 kN/m
MEMBERREF
Specimen Calculation
Loading for [live load of 300 kg/m2 Area]
Ribbed slab self wt = 0.14 x 24 = 3.36 kN/m2Screed = 1.18
Services = 0.225Ceilings = 0.225
4.99 kN/m2
DL
Live Load = 2.943 kN/m2
-LL
Design Ultimate Load n = 4.99 x 1.4 + 2.943
x 1.6
= 11.69 kN/m2
Uniformly Distributed Load on a Rib
DL = 1.2 x 4.99 = 5.88 kN/m
LL = 1.2 x 2.943 = 3.53 kN/m (service load)
Three load combinations were considered. Please refer
Prokon print out sheets #01 to #03.
The rib beam is designed for max. sagging and hoggingmoment for each span, considering BM and SF envelopes.
OUT PUT
MEMBER
REF
BS8110
Cl 3.3.4
CALCULATIONS
A. Durability and Fire Resistance of Rib Slab
Exposure conditions: It is assumed that these rib beams are
used in areas where the concrete surfaces are protected
OUT PUT
R
eferences
to
B
S
8110
Y20 Y20
Area=140561 mm2 = 0.14 m2
66
125
400
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Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P9
CORCON
Desi n, Construction and Technical Information Manual
BS8110Table 3.4
BS 8110
Table 3.5
BS 8110Fig. 3.2
against weather or aggressive conditions.
Therefore treat as mild Exposure Conditions.
For Grade 30 Concrete (30 Mpa) the Nominal coverrequirement is as 25 mm, for Durability requirement,
Note: Above cover requirement is including links
Nominal cover for Ribbed slab for : -
01 hr. Fire Period = 20 mm02 hr. Fire Period = 35 mm for continuous beams
45 mm for Simply Supported beams
use 35 mm cover for bottom bars
Minimum member Dimensions regeared for Ribbed
beams, is 125 mm and Slab thickness of 95 mm for 1 hr
fire rating?
Same for 2-hr fire rating is 125 mm ribs & 125 mm slab
thickness.
MEMBER
REF
BS 8110
Cl.3.4.4.4
CALCULATIONS
Design for bending.
MaxM
+ re moment in the span = 71.1 kNm.
Effective Depth(d) = 400 (35+6+15) = 344 mm
OUT PUT
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Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P10
CORCON
Desi n, Construction and Technical Information Manual
BS 8110
Table 3.27
K= cufbd
M2 303441179
101.712
6
=0.017 < k = 0.156
Hence Compression R/F is not required.
Z=d [0.5 +
9.0
25.0k
] < 0.95d
=344 x [0.5+
9.0
017.025.0 ]
=344 x 0.98 >0.95d
Z=0.95d=0.95x344=327mm
Depth to Neutral axis x = (d-z)/0.45=(344-327)/0.45=37.8mm
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Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P11
CORCON
Desi n, Construction and Technical Information Manual
BS 8110
Table 327
M/bd2
fcu =3033466
10632
6
= 0.285 > k=0.156
Compression Steel is required.
Z=d [0.5 +
9.0
'25.0
k]
= 334[0.5 +
9.0
156.025.0 ]
= 334 x 0.776
= 259 mm
x= (d-z)/0.45 = (384-259) / 0.45 = 166.6 mm
Area of compression Reinforcements:
A's=(k-k') fcubd2/0.87 fy(d-d')
= 5633445087.0
3346630156.0285.0 2
=261.8 mm2
Area of tension R/F : As = k' fcu bd2
/ 0.87fyz +A's
As =25945087.0
3346630156.0 2
+261.8 = 601.6 mm
2
minimum tension R/F
hb
As
w
.min100 =0.26
Asmin. =100
4005.9526.0 = 99.3 mm
2
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Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P12
CORCON
Desi n, Construction and Technical Information Manual
MEMBER
REF
BS 8110Table 3.9
Or from
equation:
BS 8110Table 3.8
BS 8110
cl.3.4.56
Table 3.8
CALCULATIONS
Check for Shear
Maxm. shear force at 1st interior support = 60.6 kN,
Take Maxm
shear force at d away from face of the
support:V=54.8 kN
Tension Steel provided 2 Y 20 (628 mm2)
bd
As100=
3345.95
628100
=1.968 v =3345.95
108.54 3
=1.718 N/
mm2
Design concrete shear stress vc
vc = 0.793
1
100
bvd
As 41
400
d
/m3
1
25
cuf
= 0.793
1
628100
bvd
4
1
25.1
334/400
3
1
25
30
vc = 0.79 1.250 25.1046.1 1.0625 = 0.878 N/ mm2
Asv bv sv (v-vc) / 0.87 fyv
sv cvsvyv
vvb
Af
87.0
898.0718.15.95
23.2825087.0
sv 153mm provide R6-150 c/c
max shear link spacing 0.75d= 0.75 x 334 = 250 mm
minimum link requirement Asv 0.4 bv sv / 0.87 fyv
sv v
svyv
b
Af
4.0
87.0
5.954.0
23.2825087.0
= 322 mm
OUT PUT
Provide Shear links
at 1st
interiorsupport
R6-150 mm c/c.
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Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P13
CORCON
Desi n, Construction and Technical Information Manual
provide nominal links @ R6 -225 c/c
Provide Nominallinks R6-225 mmc/c.
MEMBER
REF
Ref. BS 8110
Table 3.10
CALCULATIONS
Check for Deflection, (250mm Rib -n = 11.69kN/m2
b
bw =
1179
5.95= 0.081
basic span/Depth ratio = 16.76 (Value between simplysupported & continuous)
fs=bsprov
reqs
yA
Af
18
5
.
. = 1629
538450
85 = 240 N/
mm2
M/bd2
=2
6
3441179
101.71
= 0.509
Modification factor = 0.55 +
0.2
9.0120
477
2
bd
M
fs
M.F. = 0.55 +
0.295.1509.09.0120
240477
Allowable span = 16.76 x 1.95 x 344 mm
=11,242 mm > actual span 7,258 mm
Hence: Deflection is satisfactory.
OUT PUT
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Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P14
CORCON
Desi n, Construction and Technical Information Manual
CHECK FOR DEFLECTION (BS8110)
DATA
Bending moment at mid span = 114 kNm (Ultimate)
Average web width (bw) = 95.5 mm
Effective Flange width (b) = 1179 mm
Effective depth at mid span (d) = 394 mm
Actual span of rib = 7525 mm
Strength of reinforcement (fy) = 450 N/mm2
Area of steel required (Asreq.) = 778 mm2
Area of steel provided (Aspro.) = 805 mm2
Moment redisribution ratio = 1
CALCULATIONS
Basic Span/Span Depth ratio = 16.76
The design service stress (fs) = 271.82 N/mm2
Modification factor = 1.67 1.673
Allowable Span = 11,046 mm
Deflection is Satisfactory
Table 3.10 of BS8110
See the BS 8110- Table 3.10 Support ConditionsRectangularSections
Flanged Beams with bw/b
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Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P15
CORCON
Desi n, Construction and Technical Information Manual
BEAM DESIGN
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Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P16
CORCON
Desi n, Construction and Technical Information Manual
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Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P17
CORCON
Desi n, Construction and Technical Information Manual
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Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P18
CORCON
Desi n, Construction and Technical Information Manual
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Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P19
CORCON
Desi n, Construction and Technical Information Manual
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Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P20
CORCON
Desi n, Construction and Technical Information Manual
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Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P21
CORCON
Desi n, Construction and Technical Information Manual
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Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P22
CORCON
Desi n, Construction and Technical Information Manual
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Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P23
CORCON
Desi n, Construction and Technical Information Manual
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Appendix IX. SIMPLE DESIGN CHART & SAMPLE CALCULATIONS P24
CORCON
Desi n, Construction and Technical Information Manual
REFERENCE FIGURES FOR DESIGN