design of water tank-311207
TRANSCRIPT
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1
For proper assessment of load acting on Overhead Water Tank we have followed the appropriate
clauses of DBR , specification no PE-DC-250-600-C001.We have taken the basic wind speed
& factors K1,K2,& K3 as per DBR and IS:875(part -III) for wind load assessment (as shown in detail in
load calculation ). For seismic load calculation we have considered data for zone-II and importance factor
(I=1.5) according to IS:1893 , part-IV.The whole structure has been modeled and analyzed with the help of STAAD Pro. Each component of the
structure has been designed to withstand forces and moments as obtained from the Staad output.The tank
slabs and beams have been designed as uncracked sections in accodance with IS:3370 and other parts of the
structure have been designed as per IS 456 :2000.
Total factored load = 283.76 T ==>
Unfactored load = 189.17 T
Total load = 189.17 T for other load cases )
Area of raft = 1.6x3.5 = 5.60 m2
Base Pressure = 33.8 T/m2
< 30x1.25 = 37.5 T/ m2
Hence OK.
Design base pressure = 33.78 T/m2
Column A
GROUND LEVEL
DIA = 7650 mm
2000
3500
A
33.78 T/mm2
b = 1000 mm ; d = 600 - 50 - 8 = 542 mm
Moment at section A-A = 4.22 T-m
Mu/bd2
= 0.22 N/mm2
Minimum reinforcement required @ 0.2 % Fe415
Ast= 1168.6 mm M25
Provide 16 mm diameter bar @ 150 mm c/c (1340 mm2
) as main reinforcement.
Calculation of top reinforcement :
Soil pressure at top of footing = 3.4x1.8 = 6.12 T/m2
Bending moment at section A-A = 0.765 T-m
Mu/bd2
= 0.04 N/mm2
Minimum reinforcement required @ 0.2 %
DESIGN PHILOSOPHY
DESIGN OF FOUNDATION
FOOTING SLAB
( For Node No. 89 & Load Case 104 in STAAD Output )
4000
2500
600
( As this reaction is maximum among all load combination so ,there is no need of checking bearing capacity
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2
Astmin = 1084 mm
Provide 16 mm diameter bar @ 150 mm c/c at top as main reinforcement.
Distribution reinforcement: = 0.12 % in two faces
Astmin / face / m = 325 mm2
Provide 12 mm diameter @ 200 mm c/c top & bottom (565 mm2) .
Additional Overturning Moment Check For The Structure :
( For Cross check Through Hand Calculation )
Total overturning moment due to wind about base bottom = 0.77x6x7.25x32.5 + 19.597x30 +
14.37x25 + 9.17x20 + 8.39x15 +12.997x10
= 2475.0 T-m
Back fill Soil load = 237.81 T
Empty Water tank Wt. = 935 T ( From STAAD Output )
Total load = 1172.808 T
Restoring moment = 5620.7 T-m
Overturning Check With Staad Output :
( For Wnid load )
Horizontal Vertical Horizonta Moment
Node L/C Fx Mton Fy Mton Fz Mton Mx MTon- My MTon- Mz MTon-m
89 145 0.285 57.405 30.604 0 -3.7 0
90 145 13.29 173.91 44.048 0 -3.9 0
91 145 -13.576 -60.07 44.532 0 -3.9 0
139 145 0 102.51 0 0 0 0
140 145 0 141.9 0 0 0 0
141 145 0 170.59 0 0 0 0
142 145 0 183.03 0 0 0 0143 145 0 136.89 0 0 0 0
144 145 0 84.049 0 0 0 0
145 145 0 26.368 0 0 0 0
146 145 0 -24.93 0 0 0 0
147 145 0 -70.689 0 0 0 0
148 145 0 -59.457 0 0 0 0
149 145 0 -30.522 0 0 0 0
150 145 0 10.51 0 0 0 0
Per node dead load = 62.33 T-m
Overturnig moment about A-A Section using Staad output = 1274.3507 T-m
( Algebric sum of all moment )
Restoring moment = 5620.68 T-m
Staad Output for Seismic Load
A Horizontal Vertical Horizonta Moment Moment Moment
Node L/C Fx Mton Fy Mton Fz Mton Mx kNm My kNm Mz kNm
89 149 49.502 -67.986 -0.011 0 -1.5 0
Overturning moment
Restoring moment= 2.3 > 1.5
Restoring moment
Overturning moment= 4.4 > 1.5 Hence OK.
Hence OK.
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90 149 31.355 119.81 9.953 0 -0.7 0
91 149 31.479 119.42 -9.942 0 -2.3 0
139 149 0 -54.762 0 0 0 0
140 149 0 -21.268 0 0 0 0
141 149 0 25.013 0 0 0 0
142 149 0 75.092 0 0 0 0
143 149 0 148.75 0 0 0 0
144 149 0 163.1 0 0 0 0145 149 0 163 0 0 0 0
146 149 0 148.49 0 0 0 0
147 149 0 74.672 0 0 0 0
148 149 0 24.632 0 0 0 0
149 149 0 -21.554 0 0 0 0
150 149 0 -54.915 0 0 0 0
Per node dead load = 62.33 T-m
Overturnig moment about A-A Section using Staad output = 563.74333 T-m
( Algebric sum of all moment )
Restoring moment = 5620.68 T-m
A A
PLAN SHOWING SPRING SUPPORT
STAAD OUTPUT FOR FOUNDATION CIRCULAR BEAM
Beam L/C Node Fx Mton Fy Mton Fz Mton Mx kNm Mz kNm
DESIGN OF FOUNDATION RING BEAM (SECTION 2000mmx2500mm)
DETAIL OF FORCES & MOMENTS AS OBTAINED FROM STAAD OUTPUT
Hence OK.Restoring moment
= 10.0 > 1.5
Overturning moment
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4
Max Fx 174 101 139 0 142.805 0 399.7 -152.5
Min Fx 174 101 139 0 142.805 0 399.7 -152.5
Max Fy 184 105 147 0 496.683 0 4123.9 -42.4
Min Fy 178 125 142 0 -498.214 0 -4131.2 -46.9
Max Fz 174 101 139 0 142.805 0 399.7 -152.5
Min Fz 174 101 139 0 142.805 0 399.7 -152.5
Max Mx 184 105 147 0 496.683 0 4123.9 -42.4
Min Mx 178 125 90 0 -464.864 0 -4131.2 -7165.1Max My 174 101 139 0 142.805 0 399.7 -152.5
Min My 174 101 139 0 142.805 0 399.7 -152.5
Max Mz 181 124 145 0 16.872 0 3.3 6512.4
Min Mz 188 104 89 0 -386.57 0 -3280.8 -7542.7
Bending moment , Muz = 7542.7 kN-m
Torsion Tu = 4131.2 kN-m Ref. STAAD Output
Shear Vu = 4982.1 kN Mem - 188 & 178 And
L/C - 104 & 125
b = 2000 mm D = 2500 mm
b1 = 1875 mm d1 = 2375 mm
Cover = 50 mm Bar dia = 25 mm
25 mmd = 2412.5 mm
(Cl. 41.4 of IS : 456 - 2000 )
Mu = 7542.7 kN-m
Mt = Tu (1+D/b)/1.7
= 5467.8 kN-m
Me1 = 13010 kN-m
Me1/bd= 1.12 N/mm ; ptreqd = 0.322 %
( From Table -3 of SP-16)
Astreqd = 15536.5 mm
Shear :
Equivalent shear , Ve = Vu + 1.6 Tu/b = 8287.1 kN
Tve = 1.72 N/mm < Tcmax = 3.1 N/mm Hence OK.
( From Table - 20 of IS: 456 -2000)
Percentage of steel = 0.33
Design shear strength Tc = 0.4 N/mm (From Table -19 of IS:456 - 2000)
Shear capacity = 1930 kN
For ten legged 12 mm diameter stirrup, spacing = 154.97 mmProvide spacing sv = 150 mm
Minimum Transverse Reinforcement :
(Tve -Tc)b*Sv / (0.87 fy) = 1094.8 mm
Provided 10 Legged - 12 mm diameter stirrup @ 150 mm c/c (1130 mm2) Hence OK.
For side face reinforcement :
Provided 6 nos. 20 diameter bars at each face @ 300 c/c .
20 - 25 mm dia
2000
DESIGN:-
Spacer bar dia. =
Equivalent bending moment Me1 = Mu + Mt
Provide (20+12 ) nos. 25 mm diameter(15707 mm2) bars as reinforcement at bottom & top .
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5
6 - 20 dia
12 - 25 mm dia
6 - 20 dia
12 dia @ 600 c/c
10 Legged 12 dia
4-12 dia at each row stirrup @ 150 c/c
16 dia @ 150 c/c
12 dia @ 200 c/c
12 dia @ 200 c/c
12 mm dia @ 200 c/c 12 dia @ 200 c/c
12-25 dia 16 mm dia @ 150 mm c/c
20-25 dia
Loading :
DL
Weight of 150 thk landing slab = 0.150x2.5 = 0.375 T/m2
LL Effective depth = 125 mm
Live load on landing = 0.25 T/m2
Total DL+LL = 0.625 T/m2
Load for ladder = 6x0.03 + 2x0.0304 = 0.241 T/m
Reaction on landing due to ladder = 0.241x5.112/2 = 0.616 T
Case 1 :
Considering simply supported max. span of landing = 1.965 m
For conservative design reaction due to ladder is considered at mid point of simply supported span
Max. moment due to simply supported = 0.60 T-m
Mu/bd2 = 0.58
Ast reqd = 2.3 cm2(Table 2 of sp - 16 )
Provide 10 mm dia @ 300 c/c (2.62 cm2 ) top & bottom along simply supported span direction
Case 2 :
Considering cantilever max. span of landing = 1.181 m
For conservative design reaction due to ladder is considered at end of cantilever span
Max. moment due to cantilever = 1.163 T-m
Mu/bd2 = 1.117
Ast reqd = 4.5 cm2
(Table 2 of sp - 16 )
Provide 10 mm dia @ 150 c/c (5.24 cm2 ) top along cantilever span direction
Provide 10 mm dia @ 300 c/c (2.62 cm2 ) bottom along cantilever span direction
1000
Group - 1 & 2 20 - 32 mm Dia 600
600 x 1000
Group - 1
600
3500
DESIGN OF COLUMNS
2
500
DESIGN OF LANDING SLAB
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6
600 x1150
Group - 2
5 Sets - 12 dia @
300 c/c
600x 1350
Group -3
Group - 3
600
32 - 36 mm
Dia bars 1400Group -1 STAAD OUTPUT FOR COLUMNS
Beam L/C Node Fx Mton Fy Mton Fz Mton Mx MTon- My MTon-m
Max Fx 36 116 71 285.746 -0.105 -42.873 -0.1 53.2
Min Fx 222 122 48 1.649 -0.115 0.194 0 -0.2
Max Fy 36 125 71 142.69 21.457 -3.435 -1.6 6.8
Min Fy 36 105 71 143.289 -21.47 -1.925 1.4 3.8
Max Fz 29 125 72 245.292 10.412 49.844 -1.7 -63.2
Min Fz 36 104 71 249.287 0.257 -51.893 -0.1 64.5
Max Mx 29 105 72 40.628 -10.328 -44.511 1.5 52.5
Min Mx 29 125 72 245.292 10.412 49.844 -1.7 -63.2
Max My 29 125 7 233.288 10.412 49.844 -1.7 178.6
Min My 36 104 2 237.284 0.257 -51.893 -0.1 -187.2
Max Mz 36 105 2 131.286 -21.47 -1.925 1.4 -5.6
Min Mz 36 125 2 130.686 21.457 -3.435 -1.6 -9.8
Group -2 Beam L/C Node Fx Mton Fy Mton Fz Mton Mx MTon- My MTon-m
Max Fx 33 104 80 661.862 -0.454 -77.176 -1 201.3
Min Fx 33 124 77 -219.73 -0.451 73.606 -1 175.7
Max Fy 33 125 80 228.096 28.114 -1.782 -8.2 4.5
Min Fy 33 105 80 228.103 -29.02 -1.787 6.2 4.5
Max Fz 33 124 80 -205.66 -0.451 73.606 -1 -192.4
Min Fz 33 104 80 661.862 -0.454 -77.176 -1 201.3
Max Mx 33 105 80 228.103 -29.02 -1.787 6.2 4.5
Min Mx 33 125 80 228.096 28.114 -1.782 -8.2 4.5
Max My 33 104 80 661.862 -0.454 -77.176 -1 201.3
Min My 33 124 80 -205.66 -0.451 73.606 -1 -192.4
Max Mz 33 125 80 228.096 28.114 -1.782 -8.2 4.5
Min Mz 33 105 80 228.103 -29.02 -1.787 6.2 4.5
Group-3
Beam L/C Node Fx Mton Fy Mton Fz Mton Mx MTon- My MTon-mMax Fx 30 104 89 1057.43 -0.019 -73.356 -0.2 335.5
Min Fx 30 124 86 -458.74 -0.019 74.3 -0.2 -162.8
Max Fy 30 125 89 303.247 45.904 0.475 -5.6 -5.6
Min Fy 30 105 89 303.243 -45.942 0.469 5.1 -5.6
Max Fz 31 124 86 -402 -0.256 87.26 -0.6 -335.4
Min Fz 31 104 86 971.702 -0.257 -91.02 -0.6 344.7
Max Mx 31 105 86 284.853 -28.941 -1.875 7.7 4.6
Min Mx 32 125 83 256.421 29.572 -1.81 -9.4 4.5
Max My 31 104 86 971.702 -0.257 -91.02 -0.6 344.7
Min My 30 124 89 -450.94 -0.019 74.3 -0.2 -346.7
-1.1
-74.7
-35.6
-0.7
75.8
-74.7
-1.1
72.5
-28.4
14.9
0.5
-14.6
-75.7
Mz MTon-m
-1.1
1.2
14.9
Mz MTon-m
-0.1
0.1
28.3
0
-92.6
128.8
82.6
-128.8
0.1
0.1
0
72.5
0.1
-74.7
Mz MTon-m0
-1.1
-1.1
72.5
8 sets - 12 mm dia @ 300 c/c
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Max Mz 30 125 89 303.247 45.904 0.475 -5.6 -5.6
Min Mz 30 105 89 303.243 -45.942 0.469 5.1 -5.6
DESIGN OF COLUMN ( Group - 1 )
Member no 29,39,40,22,37,38,36,41,42
b = 600 mm
D = 1000 mm
Factored axial load Pu = 233.29 T Member - 29
Factored moment Muy = 178.60 T-m Load Case - 125 ZFactored moment Muz = 35.600 T-m M 25
Clear Cover = 40 mm Fe 415
Dia of bar = 25 mm
Assume percentage of steel 2.5
600
P/fck = 2.5/25 = 0.1
Y Y
Pu
fckbD
Uniaxial moment capacity about Z-Z axis
1000
d/D = 0.09 Z
Refer chart no - 44Mu
fckbD2
Muz1 = 139.5 T-m
Uniaxial moment capacity about Y-Y axis
d/D = 0.05
Refer chart no - 43
Mu
fckbD2
Muy1 = 247.5 T-m
Puz
Ag
Puz = 1140 T
PuPuz
n nMuy Muz
Muy1 Muz1
1 1
178.60 35.600
247.5 139.5
Provide 20 - 32 Dia bars. 161 Cm2
% of reinforcement = 2.68
Design of ties:
According to cl.26.5.3.2 c of IS 456 - 2000
The diameter of the ties should not be less than 1/4 th the diameter of the largest longitudinal bar
subject to a minimum = 8
The c/c spacing of the ties should be least of the following :
i) Least lateral dimension of column = 600 mm
ii) 16 x dia. Of longitudinal bar = 512 mmiii) 48 x dia.of tie = 384 mm
DESIGN OF COLUMN ( Group - 2 )
Member no 26,27,28,19,20,21,33,34,35
b = 600 mm Y
D = 1150 mm 600
Factored axial load Pu = 662.000 T Member - 33
Factored moment Muy = 201.200 T-m Load Case - 104
Factored moment Muz = 1.100 T-m M 25
Clear Cover = 40 mm Fe 415
= 0.156
= 0.155
= 0.165
= 19 (From Table 63 )
= 0.20 = => n =1 1
= = 0.98 < 1 Hence O.K
-128.8
128.8
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8
Dia of bar = 25 mm
Assume percentage of steel 2.2 Z Z
P/fck = 2.2/25 = 0.088
Pu
fckbD Y
Uniaxial moment capacity about Z-Z axisd/D = 0.09
Refer chart no - 44
Mu
fckbD
Muz1 = 124.2 T-m
Uniaxial moment capacity about Y-Y axis
d/D = 0.046
Refer chart no - 43
Mu
fckbD2
Muy1 = 258 T-m
From Chart - 63
PuzAg
Puz = 1207.5 T
Pu
Puz
n = 1.4
n nMuy Muz
Muy1 Muz1
1.4 1.4
201.200 1.100
258 124.2
Provide 20 - 32 Dia bars. 161 Cm2
% of reinforcement = 2.33
Design of ties:
According to cl.26.5.3.2 c of IS 456 - 2000The diameter of the ties should not be less than 1/4 th the diameter of the largest longitudinal bar
subject to a minimum = 8
The c/c spacing of the ties should be least of the following :
i) Least lateral dimension of column = 600 mm
ii) 16 x dia. Of longitudinal bar = 512 mm
iii) 48 x dia.of tie = 384 mm
DESIGN OF COLUMN ( Group - 3 )
Member no 23,24,25,16,17,18,30,31,32
b = 600 mm
D = 1350 mm
Factored axial load Pu = 972.000 T Member - 31
Factored moment Muy = 344.700 T-m Load Case - 104
Factored moment Muz = 0.100 T-m M 25
Clear Cover = 40 mm Fe 415
Dia of bar = 25 mmAssume percentage of steel 4 % Z
600
P/fck = 4/25 = 0.16
Pu
fckbD
Y Y
Uniaxial moment capacity about Z-Z axis
1350
= 0.38
= 0.12
= 0.13
= 17.5
= 0.55
= = 0.71 For d'/d = 0.1,
required pt = % => Astreqd =
required pc = % => Ascreqd =
mm diameter bars as tension reinforcement at support.
Therefore, provided pt = % for which, Tc = N/mm2
[Ref. Table 61 of SP16]
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14
312620 N = 312.62 kN
267.38 kN
3.2929
roviding 4L 8 220 mm[Ref. Table 62 of SP16]
232 kN-m
0.7037 N/mm
2
0.201 816 mm2
=> 1.6617949 nos. 25 mm bars
0.05 %
16 1.0092
Provide 2 no. 16
Provide 9 no. 32
Provide 5 no. 32
Provide 4L 8
9-32 mm Diameter Bars
2-16 mm Diameter Bars
500 500
804.2 kN
2412.09 kN-m
500 mm
900 mm
40 mm
32 mm
Separator bar dia. ' = 32 mmTherefore, 812 mm
7.317 N/mm2
2.35 9541 mm2
=> 11.86 nos. 32 mm bars
1.22 4953 mm2
=> 6.156321 nos. 32 mm bars
Provide 12 no. 32
2.38 0.86
349160 N = 349.16 kN
455.04 kN
5.6039
Providin 4L 12 250 mm[Ref. Table 62 of SP16]
291 kN-m
0.8827 N/mm2
[Refer "4th layer from bottom" in
Details of Forces & Moments Acting
on Tie Beams]
Shear capacity of the section = Tcbd =
Vus =Vu Tcbd =
Vus /d = kN/cm
mm diameter bars, required spacing =
At span:- Factored Bending Moment Mu =
Therefore, Mu/bd
2
=From Table 3 of SP16 ==>
required pt = % => Astreqd =
For side face reinforcement required percentage of steel per face =
Therefore number mm diameter bars required per face =
mm diameter bars at each face for side face reinforcement.
mm diameter bars as top & bottom reinforcement at support.
mm diameter bars as top & bottom reinforcement at span.
mm diameter bars @ 200 c/c as stirrup.
4L-8 mm Dia.Bar @ 200 c/c
5-32 mm Diameter Bars
900
At Supports At Span
DESIGN OF BEAMS IN 2ND, 4TH AND 5TH LAYER FROM BOTTOM (TB2 ,TB4 & TB5)
At face of column:
Maximum factored shear force Vu =
Maximum factored bending moment Mu =
Assume section of beam ==> 500mm x 900mm
Here, width of the section, b=
overall depth of the section, D=
Assuming, clear cover, c =
Diameter of reinforcement, =
effective depth, d = D - c - - ('/2) =
Mu/bd2
=From Table 51 of SP16 ==> For d'/d = 0.1,
required pt = % => Astreqd =
required pc = % => Ascreqd =
mm diameter bars as tension reinforcement at support.
Therefore, provided pt = % for which, Tc = N/mm2 [Ref. Table 61 of SP16]
Shear capacity of the section = Tcbd =
Vus =Vu Tcbd =
Vus /d = kN/cm
mm diameter bars, required spacing =
At span:- Factored Bending Moment Mu =
Therefore, Mu/bd2
=From Table 3 of SP16 ==>
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15
0.261 1060 mm2
=> 1.317049 nos. 32 mm bars
0.05 %
16 mm diameter bars required per face = 1.00923295
Provide 2 no. 16
Provide 12 no. 32
Provide 6 no. 32
Provide 4L 12
500
826.2 kN
2481.36 kn-m
500 mm
900 mm
30 mm
32 mm
Separator bar dia. = 32 mm
Therefore, 822 mm
7.345 N/mm2
2.38 9782 mm2
=> 11.79 nos. 32 mm bars
1.46 nos. 16 mm bars
1.254 5154 mm2
=> 6.4058203 nos. 32 mm bars
Provide 12 no. 32
2 no. 16
2.45 0.85
349350 N = 349.35 kN
476.85 kN
5.8011
roviding 4L 12 250 mm[Ref. Table 62 of SP16]
296 kN-m0.8761 N/mm
2
0.261 1073 mm2
=> 1.3332688 nos. 32 mm bars
0.05 %
16 mm diameter bars required per face = 1.0
Provide 2 no. 16
Therefore number of
required pt = % => Astreqd =
For side face reinforcement required percentage of steel per face =
mm diameter bars at each face for side face reinforcement.
mm diameter bars as top & bottom reinforcement at support.
Therefore number of
mm diameter bars as top & bottom reinforcement at span.
mm diameter bars @ 250 c/c as stirrup.
12 32mm Diameter Bars 6 32mm Diameter Bars
At Span
DESIGN OF BEAMS IN 3RD LAYER FROM BOTTOM (TB3)
2 16mm Diameter Bars900
4L 12 mm bars @ 250c/c
At face of column:
Maximum factored shear force Vu =
Maximum factored bending moment Mu =
500
At Supports
Assume section of beam ==> 500mm x 900mm
Here, width of the section, b=
overall depth of the section, D=
Assuming, clear cover, c =
Diameter of reinforcement, =
effective depth, d = D - c - -('/2) =
Mu/bd2
=From Table 51 of SP16 ==> For d'/d = 0.1,
required pt = % => Astreqd =
required pc = % => Ascreqd =
mm diameter bars and
mm diameter bars as tension reinforcement at support.
Therefore, provided pt = % for which, Tc = N/mm2
[Ref. Table 61 of SP16]
Shear capacity of the section = Tcbd =
Vus =Vu Tcbd =
Vus /d = kN/cm
mm diameter bars, required spacing =
At span:- Factored Bending Moment Mu =
Therefore, Mu/bd2
=From Table 3 of SP16 ==>
required pt = % => Astreqd =
For side face reinforcement required percentage of steel per face =
mm diameter bars at each face for side face reinforcement.
[Refer "3rd layer from bottom" in
Details of Forces & Moments Acting
on Tie Beams]
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16
Provide 12 no. 32
2 no. 16
Provide 6 no. 32
Provide 4L 12
626.19 kN1033.11 kN-m
500 mm
1000 mm
40 mm
32 mm
Separator bar dia ' = 32 mmTherefore, 912 mm
8.5 N/mm
10.980392
150 N/mm2
0.3835616
0.8721461
1.4217176
688.74 kN-m
591.3 kN-m
4967.841 mm2
97.5 kN-m
819.11205
5786.953 mm2
1052.38802
639 kN-m
425.67333 kN-m
3567.8049 N/mm2
216mm DiameterBars
2 16mm Diameter Bars900
4L 12 mm bars @ 250c/c
mm diameter bars and
mm diameter bars as top & bottom reinforcement at support.
mm diameter bars as top & bottom reinforcement at span.
mm diameter bars @ 250 c/c as stirrup.
6 32mm Diameter Bars1232mm Diameter Bars
500
At Supports At Span
500
DESIGN OF BEAMS SUPPORTING THE TANK BOTTOM SLAB(B1)
At face of column:
Maximum factored shear force Vu = [Refer Details of Forces & MomentsActing on Beams Supporting the
Tank Bottom Slab]Maximum factored bending moment Mu =
Assume section of beam ==> 1000mm x 500mm
Here, width of the section, b=
overall depth of the section, D=
Assuming, clear cover, c =
Diameter of reinforcement, =
effective depth, d = D - c - - ('/2) =
Allowable Stress in steel tension for HYSD bars, st =
Therefore k = m.cbc/(m.cbc + st) =
Therefore j = 1 k / 3 =
Designing by working stress method with the following parameters:
Allowable Stress for M25 concrete in bending compression, cbc
=
Modular Ratio, m = 280/(3cbc) =
[Ref. Table 2 of IS:3370II ]
[Ref. Table 21 of IS: 456 ]
Therefore R = (1/2).cbc.jk =
Design Moment M = Mu / 1.5 =
Moment of resistance of the section under balanced condition Mbal =
Balance tensile steel Ast1 = Mbalx106/(stx0.87d) =
Remaining Moment Mrem = M Mbal =
Ast2 = Mremx106/(stx0.87d) =
Hence total tensile steel Ast = Ast1 + Ast2 =
Area of compression steel Asc =mm
2
At span:- Factored Bending Moment Mu =
Design Moment M = Mu / 1.5 =
Therefore, required area of steel Ast = M / (st.j.d) =
xjdmkd
ckdx
xM
cbc
rem
)]15.1()(
[
10 6
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Therefor 4.43 no. 32
Provide 6+2= 8 no. 32
& bottom reinforcement at support.
Provide 6 no. 32
1.05 N/mm2
< 1.9
6436.571 mm2
1.41 %
0.45 N/mm2
212260 N = 212.26 kN
[where V = Vu / 1.5]
Allowable Tensile Stress in shear reinforcement, sv = 150 N/mm2
12 mm diameter bars, spacing Sv = sv.Asv.d/Vs = 291.68 mmProvide 4L 12
203.729 kN
135.81933 kN
0.2407122
Allowable Stress in direct tension, cc = 1.3 N/mm2
0.05 %
16 mm diameter bars required per face = 1.24
Provide 2 no. 16
[where V = Vu / 1.5]
[Ref. Table 23 of IS:456]
[Ref. Table 2 of IS:3370II ]
[Ref. Table 1 of IS:3370II ]
mm diameter bars are required as top & bottom reinforcement at span.
Assuming 4L
mm diameter bars as top
mm diameter bars as top & bottom reinforcement at span.
Shear Check:-Now actual shear stress Tv = V / bjd =
N/mm2 as per Table 1 of IS:3370II
Area of tensile steel provided at support Astprovd =
Percentage of tensile steel provided at support p t =
for which, permissible shear stress Tc =
Excess shear force, Vs = V Tcbd =
mm diameter bars @ 200 c/c as stirrup.
Check for direct tension :-
> than tensile stress. Hence O.K.
For side face reinforcement required percentage of steel per face =
Therefore number of
Maximum axial tension acting on the beam,Tu =
Design axial tension acting on the beam,T = Tu /1.5 =
Therefore, tensile stress, ct = T / [Ac + (m 1)Astprovd ] =
mm diameter bars at each face for side face reinforcement.
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6+2=
500
Beam L/C Node Fx kN Fy kN Fz kN Mx kNm My kNm Mz kNm
Max Fx 10 105 11 429.894 -165.307 61.131 -82.5 -28.3 -46.7
Min Fx 10 125 11 -316.56 82.08 -61.522 101.5 31.8 -16.1
Max Fy 11 140 12 275.072 217.439 -18.551 22.7 25.8 234.4
Min Fy 10 117 12 364.911 -210.218 50.129 -63.9 55.2 232.2
Max Fz 1 124 2 -211.71 0.552 80.897 -96.1 -81.5 -41.7Min Fz 15 124 16 -223.77 27.051 -82.006 96.9 39.8 -22.6
Max Mx 10 125 11 -316.56 82.08 -61.522 101.5 31.8 -16.1
Min Mx 11 125 12 -155 54.44 65.46 -105.1 -67.4 17.4
Max My 11 105 12 268.991 97.78 -63.931 85.5 68.8 97.4
Min My 15 124 2 -223.77 -6.209 -82.006 96.9 -83.8 -38.3
Max Mz 11 140 12 275.072 217.439 -18.551 22.7 25.8 234.4
Min Mz 10 125 12 -316.56 48.82 -61.522 101.5 -61 -115
sv = 150 N/mm2
M 25
cbc = 8.5 N/mm Fe 415
st = 190 N/mm2
m = 10.98
k = 0.329412
j = 0.89
R = 1.248 N/mm2Bending moment at support , 234.4 kN-m
Bending moment at span = 75.5 kN-m Load Case : 140 & 125
Torsional moment ,Tu = 105.1 kN-m
= 217.44 kN
Considering increase in material stress 33.33 %
Design Bending moment , M = 234.44/1.33 = 176.24 kN-m
Design torsion, T = 105.1/1.33 = 79.02 kN-m
Design shear , V = 217.44/1.33 = 163.49 kN
b = 1000 mm D = 600 mm
Cover = 25 mm Bar dia = 25 mm
b1 = 925 mm d1 = 575 mm
d = 562.5 mm
Calculation of longitudinal reinforcement :
(Cl. B-6.2 of IS : 456 - 2000 )
M = 176.24 kN-mMt = T (1+D/b)/1.7
= 74.37 kN-m
Me1 = 250.61 kN-m
Moment of resistance of a balanced section = 394.875 kN-m > 248.32 kN-m
Astreqd = 2634.18 mm
Provide 4 nos. 28 mm diameter bars + 3 nos. 25 mm diameter bars (3935mm2) at top .
Provide 7 nos. 20 mm diameter bars (2198mm2) at bottom.
Provide 1 no. 16 diameter bars as side reinforcement on each side.
Shear :
1000
6 32mm Diameter Bars
2 16mm Diameter Bars
8 32mm Diameter Bars
DESIGN:-
At Supports
(From STAAD OUTPUT )
4L 12 mm bars @ 200c/c
Me1/(st*j*d) =
500
DESIGN OF RING BEAM AT BOTTOM OF TANK (SECTION 600mmx1000mm)
DETAIL OF FORCES & MOMENTS AS OBTAINED FROM STAAD OUTPUT
Shear force , Vu
Equivalent bending moment Me1 = M+ Mt
At Span
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Equivalent shear , Ve = V + 1.6 T/b = 289.9 kN
Tve = 0.52 N/mm < Tcmax = 1.9 N/mm2
Hence OK.
( From Table - 24 of IS: 456 -2000)
Percentage of steel = 0.79
Design shear strength Tc = 0.37 N/mm (From Table -23 of IS:456 - 2000)
Transverse Reinforcement :
Two legged 10 mm diameter stirrup Asv = 157.08 mm2
Asv = ((T*Sv)/(b1*d1*sv))+((V*Sv)/(2.5*d1*sv))
Sv = 89.83 mm
Asv = (Tve - Tc)*b*Sv/sv
Sv = 162.03 mm
Provide 4 legged 10 diameter stirrup @ 200 c/c .
DIA = 6250
WATER TANK
4 nos.28 dia. Bars
3 nos 25 dia Bars.
7 nos. 20 dia Bars.
Tank bottom slab
1000
4 Legged 10 mm diameter stirrup @ 200 mm c/c
Beam L/C Node Fx kN Fy kN Fz kN Mx kNm My kNm
Max Fx 48 139 50 76.957 3.462 -0.072 0.1 -0.4
Min Fx 56 136 58 -66.708 5.096 -2.358 -0.6 1.9
Max Fy 46 139 48 14.464 6.719 -0.717 1.7 0.9
Min Fy 55 124 58 -28.118 -7.374 -0.087 -0.6 -0.5
Max Fz 60 116 62 7.454 3.657 2.921 -0.4 -1.5
Min Fz 51 136 53 22.82 3.568 -2.67 1 2.7
Max Mx 56 120 58 -24.976 6.565 -0.428 2.1 0.1
Min Mx 50 118 52 35.145 0.677 0.468 -2.2 -0.1
Max My 60 116 48 7.454 -3.616 2.921 -0.4 2.9
Min My 56 136 59 -66.708 -2.177 -2.358 -0.6 -1.7
Max Mz 55 140 58 -42.458 -7.361 0.633 -1 0.2
Min Mz 49 118 51 68.176 2.445 -0.769 -1.6 0.1
sv = 150 N/mm2
cbc = 8.5 N/mm
st = 190 N/mm2
m = 10.98k = 0.329412
j = 0.89
R = 1.248
Bending moment at support , M u = 4.6 kN-m Bending moment at span = 2.243 kN-m
Torsional moment ,Tu = 2.2 kN-m (From STAAD Output ; Load case-140 & 118)
= 7.4 kN
Design Bending moment , M = 4.60 kN-m
Design torsion, T = 2.20 kN-m
Shear force , Vu
600
3.1
3.4
4.6
4
1.1
0.7
0.9
-1.8
DESIGN OF RING BEAM AT TOP OF TANK (SECTION 400mmx400mm)
DETAIL OF FORCES & MOMENTS AS OBTAINED FROM STAAD OUTPUT
DESIGN:-
1 no. 16 dia Bar
TANK WALL
1 no. 16 dia Bar
-1.5
1.1
Mz kNm
-1.7
3.9
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Design shear , V = 7.40 kN
b = 400 mm D = 400 mm
Cover = 25 mm Bar dia = 20 mm
b1 = 330 mm d1 = 370 mm
d = 365 mm
Calculation of longitudinal reinforcement :
(Cl. B-6.2 of IS : 456 - 2000 )
M = 4.60 kN-m
Mt = T (1+D/b)/1.7
= 2.59 kN-m
Me1 = 7.19 kN-m
Moment of resistance of a balanced section = 66.50592 kN-m >7.19 kN-m
Astreqd = 116.44 mm
Minimum % of reinforcement is required
Astmin = 292 mm
Provide 2 nos. 16 mm diameter bars ( 402 mm2
) at top & bottom althrough .
Shear :
Equivalent shear , Ve = V + 1.6 T/b = 16.2 kN
= 0.11 N/mm < Tcmax = 1.9 N/mm2
( From Table - 24 of IS: 456 -2000)
Hence OK.
Shear stress Tv = 0.05 N/mm
0.25
Design shear strength Tc = 0.23 N/mm (From Table -23 of IS:456 - 2000)
Transverse Reinforcement :
Provide 2 legged 8 diameter stirrup @ 200 mm c/c .
2 - 16 mm dia
TANK ROOF SLAB
2 - 16 mm dia
2 Legged 8 mm diameter stirrup @ 200 mm c/c
WATER TANK
Me1/(st*j*d) =
400
Percentage of steel =
Equivalent bending moment Me1 = M+ Mt
400
TANK WALL
DESIGN OF SLABS
DIA = 6250
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8.5 N/mm [Ref. Table 21 of IS: 456 ]
10.98039
150 N/mm2 [Ref. Table 2 of IS:3370II ]
0.383562
0.872146
1.421718
1.088 kN-m /m
0.83 kN-m /m
0.032 N/mm2
0.021 N/mm2
1.088 kN-m /m
0.83 kN-m /m
0.032 N/mm2
0.021 N/mm2
1000 mm
150 mm
25 mm
10 mm
120 mm
27.66354 mm
Provide 10 mm dia. bars @ 250 c/c Hence, Astprovd = 314.29 mm2
0.26 %
0.26 0.235 N/mm2
O.K
69.305 mm2
O.K
Reinforcement in circumferential direction:-
52.87 mm2
Provide 10 250 c/c in radial and circumferential directions
at top and bottom .
DESIGN OF TANK BOTTOM SLAB ( 300 mm thk. )
From
STAAD
Output
mm diameter bars @
Tank slab designed as uncracked section as per IS-3370.
[Ref. Table 23 of IS:456]
Modular Ratio, m = 280/(3cbc) =
DESIGN OF TANK TOP SLAB ( 150 mm thk. )
Designed as per working stress method.
Allowable Stress in steel tension for Fe 415 bars, st =
cbc =
Therefore k = m.cbc/(m.cbc + st) =
Therefore j = 1 k / 3 =Therefore R = (1/2).cbc.jk =
X ==> Radial direction.
Y ==> Circumferential direction.
Moment Mxu = Plate No.107; L/C 139Moment Myu = Plate No.107; L/C 139
Shear Stress SQXu = Plate No.100; L/C 121Shear Stress SQYu = Plate No.94; L/C 118
Design Moment Mx = Mxu =
Design Moment My = Myu =
Design Shear Stress SQX = SQXu =
Design Shear Stress SQY = SQYu =
Width of slab is b=
Overall depth of slab provided, D =Assuming, clear cover, c =
Diameter of reinforcement, =
Effective depth, d = D - c - (/2) =
Required overall depth of slab = [Mmax/(R.b)] =< than provided overall depth. Hence O.K.
and pprovd =
%, is given by Tc=
> than maximum shear stress. Hence O.K.
Reinforcement in radial direction:-
Allowable shear stress, for pprvd =
Required area of steel is Astx = Mx/(jdst) =< than provided reinforcement. Hence O.K.
Required area of steel is Asty = My/(jdst) =< than provided reinforcement. Hence O.K.
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8.5 N/mm [Ref. Table 21 of IS: 456 ]
10.98039
150 N/mm2 [Ref. Table 2 of IS:3370II ]
0.383562
0.872146
10.13 kN-m /m
11.24 kN-m /m
0.214 N/mm2
0.151 N/mm2
10.13 kN-m /m
11.24 kN-m /m
0.214 N/mm2
0.151 N/mm2
1000 mm
300 mm
30 mm
12 mm
264 mm
0.88
R = 0.3193 N/mm2
Provide 12 mm diameter bars @ 150 c/c Hence, Astprovd = 754.3 mm2
0.29 %
0.29 0.255 N/mm2
O.K
From
STAAD
Output
cbc =
Therefore k = m.cbc/(m.cbc + st) =
Therefore j = 1 k / 3 =
X ==> Radial direction.
Modular Ratio, m = 280/(3cbc) =
Allowable Stress in steel tension for Fe 415 bars, st =
Y ==> Circumferential direction.
Moment Mxu = Plate No.88; L/C 125Moment Myu = Plate No.87; L/C 125
Shear Stress SQXu = Plate No.82; L/C 104Shear Stress SQYu = Plate No.87; L/C 105
Design Moment Mx = Mxu/ 1.2 =
Design Moment My = Myu/ 1.2 =
Design Shear Stress SQX = SQXu / 1.2 =
Design Shear Stress SQY = SQYu / 1.2 =
Width of slab is b=
Overall depth of slab provided, D =Assuming, clear cover, c =
Diameter of reinforcement, =
Effective depth, d = D - c - (/2) =Hence, d/D =
For uncracked section ==>
and pprovd =
%, is given by Tc=Allowable shear stress, for pprvd =
> than maximum shear stress. Hence O.K.
[Ref. Table 23 of IS:456]
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23
187.622 mm
293.3087 mm2
O.K
Reinforcement in circumferential direction:-325.4482 mm
2
Provide 12 150 mm c/c in radial and circumferential
directions at top and bottom.
DESIGN OF INNER WALL( 175 mm thk. )
8.5 N/mm2 [Ref. Table 21 of IS: 456 ]
Allowable stress in bending tension = 1.8 N/mm2
Allowable stress for direct tension = 1.3 N/mm2
10.98039
150 N/mm2 [Ref. Table 2 of IS:3370II]0.383562
0.872146
X ==> Vertical direction
Y ==> Circumferential direction
3.652 kN-m /m
8.635 kN-m /m
0.399 N/mm2
0.262 N/mm2
1000 mm
175 mm
40 mm
Diameter of reinforcement, = 12 mm
Effective depth, d = D - c - (/ 129 mm0.737143
R = 0.3111 N/mm2
166.6024 mm
216.4016 mm2
Min. percentage of reinforcement = 0.25
437.5 mm in two faces
Astreqd./face = 219mm
511.6726 mm2 < 754 mm
2
Provide 12 mm diameter bars @ 250 mm c/c at inner face as vertical reinforcement
Provide 16 mm diameter bars @ 120 mm c/c up to 2.0 m from tank bottom and
12 mm diameter @ 120 mm c/c from 2 m to 4.450 m at outer face as vertical reinforcement.
Provide 12 mm diameter bars @ 150 mm c/c at both faces as circumferential reinforcement
Allowable stress for concrete in bending compression cbc =
Required overall depth of slab = [Mmax/(R.b)] =< than provided overall depth. Hence O.K.
Reinforcement in radial direction:-
Required area of steel is Astx = Mx/(jdst) =< than provided reinforcement. Hence O.K.
Allowable Stress in steel tension for Fe 415 bars, st =
Required area of steel is Asty = My/(jdst) =< than provided reinforcement. Hence O.K.
Wall is be designed as uncracked section as per IS : 3370.
mm diameter bars @
Modular Ratio, m = 280/(3cbc) =
Therefore k = m.cbc/(m.cbc + st) =
Therefore j = 1 k / 3 =
Moment Mxu =From
STAAD
Output
Assuming, clear cover, c =
Width of wall b=
Overall depth of wall provided, D =
Shear stress SQYu = Plate No.273; L/C 125
Plate No.283; L/C 117Moment Myu = Plate No.299; L/C 121
Shear stress SQXu = Plate No.281; L/C 117
< Provided O/A depth . Hence O.K.
Hence, d/D =
Required area of steel in Vertical
direction is Astx = Mx/(jdst) =
Astreqd =
Required area of steel in
circumferential direction is
For uncracked section,
Required O/A depth of wall = [Mmax/(R.b)] =
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Shear :
% of reinforcement = 1.30
Permissible shear stress Tc = 0.45 N/mm2
> 0.399 N/mm2
( From Table 23 pf IS 456 : 2000 )
Hence OK.
175
Roof
12 mm dia @ 250 mm c/c
TANK
16 mm dia
@ 120 mm c/c2.0m
up to 2 m
4.4
50m
12mm
dia@1
50mmc/c
12mm
dia@1
50mmc/c
12 mm dia
@ 120 mm c/c
from 2 m to 4.45
m
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DESIGN OF RCC PARTITION WALL( 200 mm thk. ) INSIDE TANK
8.5 N/mm2 [Ref. Table 21 of IS: 456 ]
10.98039
150 N/mm2 [Ref. Table 2 of IS:3370II ]
Allowable stress for concrete in bending tension = 1.8 N/mm2
1.3 N/mm2
0.383562
0.872146
X ==> Vertical direction M 25
Y ==> Fe 415
1.038 kN-m /m
1.469 kN-m /m
0.01 N/mm2
0.016 N/mm2
1000 mm
200 mm
30 mm
12 mm
164 mm
0.82
R = 0.3141 N/mm2
68.38753 mm
48.4 mm2
Min. percentage of reinforcement = 0.22
440 mm in two faces
Astreqd./face = 220 mm
68.46954 mm2
Provide 12 mm diameter bars @ 200 mm c/c ( 565 mm2) at both faces as vertical reinforcement
Provide 12 mm diameter bars @ 200 mm c/c (565 mm2) at both faces as horizontal reinforcement
Shear :
% of reinforcement = 0.28
Permissible shear stress Tc 0.25 N/mm2
> 0.016 N/mm2
( From Table 23 pf IS 456 : 2000 )
Hence OK.
200
Required O/A depth of wall = [Mmax/(R.b)] =
Effective depth, d = D - c - (/2) =
Horizontal direction
Modular Ratio, m = 280/(3cbc) =
Allowable stress for concrete in direct tension =
Allowable stress for concrete in bending compression cbc =
Allowable Stress in steel tension for Fe 415 bars, st =
Partition wall shall be designed as uncracked section as per IS : 3370.
From
STAAD
Output
Moment Mxu = Plate No.319;L/C 139Moment Myu = Plate No.316; L/C 140Shear SQXu = Plate No.320; L/C 121Shear SQYu = Plate No.317; L/C 118
Hence, d/D =
Therefore j = 1 k / 3 =
< than provided O/A depth. Hence O.K.
Required area of steel in Vertical
direction is Astx = Mx/(jdst) =
Astreqd =
Required area of steel in horizontal
direction is Asty =
Therefore k = m.cbc/(m.cbc + st) =
Width of wall b=
Overall depth of wall provided, D =Assuming, clear cover, c =
Diameter of reinforcement, =
For uncracked section,
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12 mm dia
@ 200 mm c/cTANK
TANK
12 mm dia @ 200 mm c/c
WATER TANK WALL
DESIGN OF OUTER WALL
Allowable stress for concrete in bending compres 8.5 N/mm2 [Ref. Table 21 of IS: 456 ]
Allowable stress in bending tension = 1.8 N/mm2
Allowable stress for direct tension = 1.3 N/mm2
10.98039
150 N/mm2 [Ref. Table 2 of IS:3370II ]
0.383562
0.872146 M - 25
Fe - 415
X ==> Vertical direction
Y ==> Circumferential direction
8.607 kN-m /m
4.87 kN-m /m
0.099 N/mm2
0.085 N/mm2
1000 mm
250 mm at base
150 mm at top
40 mm
12 mm
204 mm at bottom104 mm at top
0.816
R = 0.3141 N/mm2
165.5358 mm
Hence O/A depth of wall 250 mm at bottom and 150 mm at top is O.K.
Allowable Stress in steel tension for Fe 415 bars, st =
Required overall depth of wall = [Mmax/(R.b)] =
Hence, d/D =
Effective depth, d = D - c - (/2) =Effective depth, d = D1 - c - (/2) =
For uncracked section,
Overall depth of wall provided,D1 =
Assuming, clear cover, c =
Shear stress SQYu = Plate No.220; L/C 141
width of wall b =
Overall depth of wall provided, D =
Shear stress SQXu =
Plate No.206; L/C 125
Tank wall shall be designed as uncracked section as per IS : 3370.
Modular Ratio, m = 280/(3cbc) =
From
STAAD
Output
Plate No.221; L/C 141
Required area of steel in Vertical
Moment Mxu =
Moment Myu =
Plate No.192; L/C 137
Diameter of reinforcement, =
12mmdia@2
00m
mc/c
12mmdia@2
00mmc/c
Therefore k = m.cbc/(m.cbc + st) =
Therefore j = 1 k / 3 =
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322.5085 mm2
182.4813 mm2
0.886 N/mm2
Plate no.-220, L/C -117
221500 N
Astreqd due to direct tension = 1476.7 mm
920.8146 mm
Total Astprovided = 2 x754 = 1508.0 mm
Equivalent area of steel =2x(m-1)xAst = 30100.9 mm2
Total area of concrete & steel = mm2
Direct Stress due to membrane force = 0.791 N/mm2
Equivalent moment of inertia of steel I1 =2x(m-1)xAstxd2
= mm
[ where, d = ( 250 -40x2-12)/2 =79 ]
Momen of inertia of the secion I2 = mm4
Total moment of inertia = I = 1.4E+09 mm4
Stress = M.y/I = 0.43 N/mm2
Total Stress = 1.22 , Hence O.K.
Provide 12 mm diameter bars @ 150 mm c/c at inner face as vertical reinforcement
Provide 12 mm diameter bars @ 250 mm c/c at outer face as vertical reinforcementProvide 12 mm diameter bars @ 150 mm c/c at both faces as circumferential reinforcement
Shear :
% of reinforcement = 0.37
0.27 N/mm2
> 0.099 N/mm2
Table - 23 of IS 456 : 2000
Hence OK.
1.1E+08
Max. membrane tensile stress in wall sy =
1.3E+09
N/mm2
< 1.8
Total Astreqd due to direct tension & bending =
Max. Membrane tensile force in wall /m =
direction is Astx = Mx/(jdst) =
Required area of steel in
circumferential direction is Asty =
280100.9
Permissible shear stress Tc =
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150
TANK
12 mm dia. bars @ 12 mm dia. bars @
250 mm c/c 150 mm c/c
250
TANK WALL
12mmdiabars@1
50c/c
12mmdiabars@1
50c/c
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LOAD CALCULATION
DEAD LOAD:Weight of 150 thk landing slab = 0.150x2.5x1.796x1.25 = 0.421 T
Load for ladder = 6x0.03 + 2x0.0304 = 0.241 T/m
Reaction at column due to ladder = 0.241x5.112/2 = 0.616 T
Total load at column due to ladder & landing 1.037 TResultant load at column = 2.07 T
Moment at column due to ladder & landing = 3.28 T-m
Load at column due to circular slab at RL (+) 436.5 m = 3.14/4*6.25 2*0.150*2.5/3 = 4.42T
CALCULATION OF LIVE LOAD :
Live load on tank top slab = 0.150 T/m2
;
Live load for ladder & landing = 0.25 T/m2
Reaction at column due to LL = 0.639 T
Resultant load at column = 1.278 T
Moment at column due to LL on landing & ladder = 2.02 T-m
Load at column due to circular slab at RL (+) 436.5 m = 3.14/4*6.25^2*0.250/3 2.56 T
CALCULATION OF WIND LOAD WITH GUST FACTOR METHOD :
Along wind load on a structure on a strip area (Ae) at any height (z) is given by :
Fz = Cf.Ae.pz.G
Where ,
Fz = along wind load on the structure at any height z corresponding to strip area Ae,
Cf = force coefficient for the building , (Ref.Table - 28 of IS 875 part -3)
Ae = effective frontal area considered for the structure at height z,
Vz = Vb.k1.k2.k3
pz = design pressure at height z due to hourly mean wind obtained as 0.6Vz(N/m )
Vb = 47.3 m/sec
k1 = 1.07 ( As per Cl. 5.3.1 Of 875 ,Part-3 )
k2 = 0.67 (From Table -33 of IS 875 , Part - 3 ) (For 10 m height )k3 = 1.0 ( As per Cl. 5.3.3 Of 875 ,Part-3 )
Vh = 33.9 m/sec
Pz = 689.9072 N/m2
k1 = 1.07 ( As per Cl. 5.3.1 Of 875 ,Part-3 )
k2 = 0.72 (From Table -33 of IS 875 , Part - 3 ) (For 15 m height )
k3 = 1.0 ( As per Cl. 5.3.3 Of 875 ,Part-3 )
Vh = 36.4 m/sec
Pz = 796.7207 N/m2
k1 = 1.07 ( As per Cl. 5.3.1 Of 875 ,Part-3 )
k2 = 0.75 (From Table -33 of IS 875 , Part - 3 ) (For 20 m height )
k3 = 1.0 ( As per Cl. 5.3.3 Of 875 ,Part-3 )Vh = 38.0 m/sec
pz = 864.4972 N/m2
k1 = 1.07 ( As per Cl. 5.3.1 Of 875 ,Part-3 )
k2 = 0.79 (From Table -33 of IS 875 , Part - 3 ) (For 30 m height )
k3 = 1.0 ( As per Cl. 5.3.3 Of 875 ,Part-3 )
Vh = 40.0 m/sec
pz = 959.1693 N/m2
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k1 = 1.07 ( As per Cl. 5.3.1 Of 875 ,Part-3 )
k2 = 0.85 (From Table -33 of IS 875 , Part - 3 ) (For 37 m height )
k3 = 1.0 ( As per Cl. 5.3.3 Of 875 ,Part-3 )
Vh= 43.0 m/sec
pz = 1110.399 N/m2
G = gust factor and is given by :
G = 1 + gfr ( B ( 1 + )2 + SE/ ))L (h) = 1250 From fig.8
gfr = 1.25 From fig.9
Cy = 10 From code
b = 6.9 m
Cz = 12 From code
h = 35.5 m
0.16
0.3408
B = 0.8 (From Fig.9)
fo = 0.501 ( From STAAD output )
5.416106 for 10 m ht. ( where Vz=Vh)
4.424241 for 15 m ht.4.269907 for 20 m ht.
4.125978 for 30 m ht.
3.898217 for 37 m ht.
18.46835 for 10 m ht.
17.18582 for 15 m ht.
13.47458 for 20 m ht.
13.47458 for 30 m ht.
12.52343 for 37 m ht.
S = 0.35 for 10 m ht.
0.38 for 15 m ht.
0.39 for 20 m ht. From Fig.10
0.40 for 30 m ht.
0.41 for 37 m ht.
E = 0.08 for 10 m ht.
0.10 for 15 m ht.
0.101 for 20 m ht. From Fig.11
0.102 for 30 m ht.
0.103 for 37 m ht.
= 0.016
gfr B
4
Gust Factor , G = 3.186505 for 10 m ht.3.399451 for 15 m ht.
3.427572 for 20 m ht.
3.455769 for 30 m ht.
3.484039 for 37 m ht.
Cf = 1.6 (Solidity ratio =0.52) From Table - 28
Cf = 2 From Table - 28
=Cy.b/Cz.h =Cz.h/L (h) =
Fo=Cz.fo.h/ Vh =
Fo=Cz.fo.h/ Vh =Fo=Cz.fo.h/ Vh =
Fo=Cz.fo.h/ Vh =
Fo=Cz.fo.h/ Vh =
fo.L (h)./Vh =
fo.L (h)./Vh =
fo.L (h)./Vh =
fo.L (h)./Vh =
fo.L (h)./Vh =
= = 0.279508
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Ae = 36.9516 m2 for 10 m ht.
19.3508 m2 for 15 m ht.
19.3508 m2 for 20 m ht.
36.9516 m2 for 30 m ht.
43.2 m2 for 37 m ht.
Fz = 12.99746 T for 10 m ht.
8.385593 T for 15 m ht.
9.17422 T for 20 m ht.
14.37 T for 25 m ht.
19.59716 T for 30 m ht.
33.42533 T for 37 m ht.
FOR STAAD INPUT
Wind load per node for 10 m height = 3.2 T
Wind load per node for 15 m height = 4.2 T
Wind load per node for 20 m height = 4.6 T
Wind load per node for 25 m height = 7.2 T
Wind load per node for 30 m height = 9.8 T
Wind load at tank for 37 m height = 0.77 T/m2
CALCULATION OF THE WIND LOAD AS PER NORMAL METHOD :
Basic wind speed Vb = 47.3 m/sec ( As per DBR )
Terrain category - 2
Class - B
Design wind speed Vz = Vb x k1 x k2 x k3 m/sec
Factors for various heights as per IS 875 Part - III :
For 37 m height
For 30 m height
For 20 m height
For 15 m height
For 10 m height
k1 = 1.07
k2 = 1.15
k3 = 1.0
k1 = 1.07
k2 = 1.1
k3 = 1.0
k1 = 1.07
k2 = 1.05
k3 = 1.0
k2 = 0.98
k3 = 1.0
Wind pressure Pz = 0.6 x Vz2
k1 = 1.07
k2 = 1.02
k3 = 1.0
k1 = 1.07
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Wind Pressure at 37 m height = 200 kg/m2
Wind Pressure at 30 m height = 186 kg/m2
Wind Pressure at 20 m height = 183 kg/m2
Wind Pressure at 15 m height = 160 kg/m2
Wind Pressure at 10 m height = 148 kg/m2
Wind load for staad input on tie beam at 10 m height from GL = 0.148x0.9 = 0.133 T/m
Wind load for staad input on tie beam at 15 m height from GL = 0.160x0.9 = 0.144 T/m
Wind load for staad input on tie beam at 20 m height from GL = 0.183x0.9 = 0.165 T/m
Wind load for staad input on tie beam at 25 m height from GL = 0.185x0.9 = 0.167 T/m
Wind load for staad input on tie beam at 30 m height from GL = 0.186x0.9 = 0.1674 T/m
Average wind force on columns between ht 10 m to 20 m = ( 0.148 + 0.183 ) / 2 x 1.3 = 0.215 T/m
Average wind force on columns between ht 20 m to 30 m = ( 0.183 + .186 ) / 2 x 1.3 = 0.24 T/m
Wind pressure on tank = 0.200 T/m2
The value of wind load in gust factor method is higher than the normal wind load
calculation, so the value of wind load in gust factor method is applied in STAAD input.
CALCULATION OF THE SEISMIC LOAD :
Here Zone factor Z = 0.1
Importance factor = 1.5
Response reduction factor = 3Soil type = 2
Response sectrum method of analysis carried out using STAAD , considering
X = 0.025
Y = 0.005
Z = 0.0075