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Structural Footing Analysis

This document summarizes the design of four isolated column footings (F1, F2, F3, F4). For each footing, it provides the column reaction force, size, loads, soil properties, required and provided footing dimensions, reinforcement calculations to check for moment capacity, and shear capacity. All footings were found to be sufficient and safe based on the checks performed.

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Saajan bhathal
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0% found this document useful (0 votes)
89 views11 pages

Structural Footing Analysis

This document summarizes the design of four isolated column footings (F1, F2, F3, F4). For each footing, it provides the column reaction force, size, loads, soil properties, required and provided footing dimensions, reinforcement calculations to check for moment capacity, and shear capacity. All footings were found to be sufficient and safe based on the checks performed.

Uploaded by

Saajan bhathal
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as XLSX, PDF, TXT or read online on Scribd
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BUS QUEUE SHELTER

ISOLATED FOOTING
Footing F1:-
Reaction from staad output 464 kN
Column Size :- 457x230 mm
Load on column:- 464 kN
Load including self wt. of footing :- 464 kN
Soil bearing capacity:- 124 kN/m2
Area of footing required = 464/124 = 3.7 sqm
Area of footing provided= 1.98x1.98 = 3.92 sqm
SO OK
Net soil pressure 118.36 kN/m2
MuY= 118.36x1.5x{(1.98-0.607)/2}^2 x1/2 = 41.8 kNm
MuX= 118.36x1.5x{(1.98-0.38)/2}^2 x1/2 = 56.8 kNm
Mux=0.133 fck bd 2

d=√{ Mu / 0.133 x Fck x B}= 131 mm


Overall depth provided "D" = 381 mm
deff= 321 mm
MuY=0.87 fy Ast d [1-fy Ast / fck bd]
Mu= 0.87x fy x d x Asty [1- fy Asty / fck x B x d]
8.7Asty^2 - 139635 Asty + 41.84 x 10^6= 0
Required Asty= 305 mm2
Provided:- 125 Nos. 12 Dia bars = 904 mm2
Mux=0.87 fy Ast d [1-fy Ast / fck bd]
Mu= 0.87x fy x d x Astx [1- fy Astx / fck x B x d]
8.7Astx^2 - 139635 Astx + 56.81 x 10^6= 0
Required Astx= 418 mm2
Provided:- 125 Nos. 12 Dia bars = 904 mm2
Hence OK
Check for shear( Punching shear)
Vu= 118.36x1.5x{[ 1.98x 1.98-(0.38+0.321)(0.607+0.321 ) }]= 580.5 KN
tv = 580.5x1000/{2(0.38+0.321 + 0.607 + 0.321 )x 0.321x 1000)}= 0.56 N/sqmm
tc= 0.25X 25 1.25
kS=0.5+bc (should not more than 1)
Ks= 0.5 + (a/b)
a = Length of shorter side of column
b= Length of longer side of column
Ks= 0.5 + (0.23 / 0.457 ) = = 1
If Ks is greater than 1
t'c= Ks X tc , Ks=1
t'c=tc
If Ks is less than 1
t'c= Ks X tc
t'c = 1.25
tv < t c ,

HENCE SAFE IN PUNCHING SHEAR


Check for shear( One way shear)
Vu = 118.36x1.5x(((1.98-0.38)2)-160.5 )= 168
tv = Vu/(bxd) 168.38x1000/(321x1000) = 0.26
P = 100 Ast / bd = 0.28
tc= 0.28 % age of steel 0.3756
tv < t'c
HENCE SAFE IN SHEAR
SAFE

SAFE

SAFE

GRADE

Kn
N/sqmm
Footing F2:-
Reaction from staad output 201 kN
Column Size :- 300x300 mm
Load on column:- 201 kN
Load including self wt. of footing :- 221.1 kN
Soil bearing capacity:- 100 kN/m2
Area of footing required = 221.1/100 = 2.2 sqm
Area of footing provided= 1.52x1.52 = 2.31 sqm
SO OK
Net soil pressure 87.00 kN/m2
MuY= 87x1.5x{(1.52-0.45)/2}^2 x1/2x 1.52 = 28.4 kNm
MuX= 87x1.5x{(1.52-0.45)/2}^2 x1/2x 1.52 = 28.4 kNm
Mux=0.136 fck bd 2

d=√{ Mu / 0.136 x Fck x B}= 83 mm


Overall depth provided "D" = 380 mm
deff= 320 mm
MuY=0.87 fy Ast d [1-fy Ast / fck bd]
Mu= 0.87x fy x d x Asty [1- fy Asty / fck x B x d]
7.2Asty^2 - 139200 Asty + 28.39 x 10^6= 0
Required Asty= 206 mm2
Provided:- 8 Nos. 10 Dia bars = 632 mm2
Mux=0.87 fy Ast d [1-fy Ast / fck bd]
Mu= 0.87x fy x d x Astx [1- fy Astx / fck x B x d]
7.2Astx^2 - 139200 Astx + 28.39 x 10^6= 0
Required Astx= 206 mm2
Provided:- 8 Nos. 10 Dia bars = 632 mm2
Hence OK
Check for shear( Two way shear)
Vu= 87x1.5x{[ 1.52x 1.52-(0.45+0.32)(0.45+0.32 ) }]= 224.1 KN
tv = 224.1x1000/{2(0.45+0.32 + 0.45 + 0.32 )x 0.32x 1000)}= 0.23 N/sqmm

tc= 0.25X 20 1.12


kS=0.5+bc (should not more than 1)
Ks= 0.5 + (a/b)
a = Length of shorter side of column
b= Length of longer side of column
Ks= 0.5 + (0.3 / 0.3 ) = = 1.5
If Ks is greater than 1
t'c= Ks X tc , Ks=1
t'c=tc
If Ks is less than 1
t'c= Ks X tc
t'c = 1.12
tv < t,c
HENCE SAFE IN SHEAR
Footing F3:-
Reaction from staad output 165 kN
Column Size :- 300x600 mm
Load on column:- 165 kN
Load including self wt. of footing :- 181.5 kN
Soil bearing capacity:- 72 kN/m2
Area of footing required = 181.5/72 = 2.5 sqm
Area of footing provided= 1.98x1.83 = 3.62 sqm
SO OK
Net soil pressure 45.54 kN/m2
MuY= 45.54x1.5x{(1.98-0.45)/2}^2 x1/2x 1.83 = 36.6 kNm
MuX= 45.54x1.5x{(1.83-0.75)/2}^2 x1/2x 1.98 = 19.7 kNm
Mux=0.136 fck bd 2

d=√{ Mu / 0.136 x Fck x B}= 61 mm


Overall depth provided "D" = 600 mm
deff= 540 mm
MuY=0.87 fy Ast d [1-fy Ast / fck bd]
Mu= 0.87x fy x d x Asty [1- fy Asty / fck x B x d]
5.9Asty^2 - 234900 Asty + 36.58 x 10^6= 0
Required Asty= 156 mm2
Provided:- 13 Nos. 10 Dia bars = 1027 mm2
Mux=0.87 fy Ast d [1-fy Ast / fck bd]
Mu= 0.87x fy x d x Astx [1- fy Astx / fck x B x d]
5.5Astx^2 - 234900 Astx + 19.72 x 10^6= 0
Required Astx= 84 mm2
Provided:- 14 Nos. 10 Dia bars = 1106 mm2
Hence OK
Check for shear( Two way shear)
Vu= 45.54x1.5x{[ 1.98x 1.83-(0.75+0.54)(0.45+0.54 ) }]= 160.3 KN
tv = 160.3x1000/{2(0.75+0.54 + 0.45 + 0.54 )x 0.54x 1000)}= 0.07 N/sqmm

tc= 0.25X 20 1.12


kS=0.5+bc (should not more than 1)
Ks= 0.5 + (a/b)
a = Length of shorter side of column
b= Length of longer side of column
Ks= 0.5 + (0.3 / 0.6 ) = = 1
If Ks is greater than 1
t'c= Ks X tc , Ks=1
t'c=tc
If Ks is less than 1
t'c= Ks X tc
t'c = 1.12
tv < t,c
HENCE SAFE IN SHEAR
Footing F4:-
Reaction from staad output 619 kN
Column Size :- 680x300 mm
Load on column:- 619 kN
Load including self wt. of footing :- 680.9 kN
Soil bearing capacity:- 72 kN/m2
Area of footing required = 680.9/72 = 9.5 sqm
Area of footing provided= 3.2x3.05 = 9.76 sqm
SO OK
Net soil pressure 63.42 kN/m2
MuY= 63.42x1.5x{(3.2-0.83)/2}^2 x1/2x 3.05 = 203.7 kNm
MuX= 63.42x1.5x{(3.05-0.45)/2}^2 x1/2x 3.2 = 257.2 kNm
Mux=0.136 fck bd 2

d=√{ Mu / 0.136 x Fck x B}= 172 mm


Overall depth provided "D" = 600 mm
deff= 540 mm
MuY=0.87 fy Ast d [1-fy Ast / fck bd]
Mu= 0.87x fy x d x Asty [1- fy Asty / fck x B x d]
3.6Asty^2 - 234900 Asty + 203.72 x 10^6= 0
Required Asty= 879 mm2
Provided:- 21 Nos. 10 Dia bars = 1659 mm2
Mux=0.87 fy Ast d [1-fy Ast / fck bd]
Mu= 0.87x fy x d x Astx [1- fy Astx / fck x B x d]
3.4Astx^2 - 234900 Astx + 257.23 x 10^6= 0
Required Astx= 1113 mm2
Provided:- 22 Nos. 10 Dia bars = 1738 mm2
Hence OK
Check for shear( Two way shear)
Vu= 63.42x1.5x{[ 3.2x 3.05-(0.45+0.54)(0.83+0.54 ) }]= 799.4 KN
tv = 799.4x1000/{2(0.45+0.54 + 0.83 + 0.54 )x 0.54x 1000)}= 0.31 N/sqmm

tc= 0.25X 20 1.12


kS=0.5+bc (should not more than 1)
Ks= 0.5 + (a/b)
a = Length of shorter side of column
b= Length of longer side of column
Ks= 0.5 + (0.3 / 0.68 ) = = 0.94
If Ks is greater than 1
t'c= Ks X tc , Ks=1
t'c=tc
If Ks is less than 1
t'c= Ks X tc
t'c = 1.05
tv < t,c
HENCE SAFE IN SHEAR
Footing F5:-
Reaction from staad output 337 kN
Column Size :- 230x460 mm
Load on column:- 337 kN
Load including self wt. of footing :- 370.7 kN
Soil bearing capacity:- 72 kN/m2
Area of footing required = 370.7/72 = 5.1 sqm
Area of footing provided= 2.44x2.13 = 5.20 sqm
SO OK
Net soil pressure 64.84 kN/m2
MuY= 64.84x1.5x{(2.44-0.38)/2}^2 x1/2x 2.13 = 109.9 kNm
MuX= 64.84x1.5x{(2.13-0.61)/2}^2 x1/2x 2.44 = 68.5 kNm
Mux=0.136 fck bd 2

d=√{ Mu / 0.136 x Fck x B}= 102 mm


Overall depth provided "D" = 600 mm
deff= 540 mm
MuY=0.87 fy Ast d [1-fy Ast / fck bd]
Mu= 0.87x fy x d x Asty [1- fy Asty / fck x B x d]
5.1Asty^2 - 234900 Asty + 109.89 x 10^6= 0
Required Asty= 473 mm2
Provided:- 17 Nos. 10 Dia bars = 1343 mm2
Mux=0.87 fy Ast d [1-fy Ast / fck bd]
Mu= 0.87x fy x d x Astx [1- fy Astx / fck x B x d]
4.5Astx^2 - 234900 Astx + 68.54 x 10^6= 0
Required Astx= 293 mm2
Provided:- 16 Nos. 10 Dia bars = 1264 mm2
Hence OK
Check for shear( Two way shear)
Vu= 64.84x1.5x{[ 2.44x 2.13-(0.61+0.54)(0.38+0.54 ) }]= 402.6 KN
tv = 402.6x1000/{2(0.61+0.54 + 0.38 + 0.54 )x 0.54x 1000)}= 0.18 N/sqmm

tc= 0.25X 20 1.12


kS=0.5+bc (should not more than 1)
Ks= 0.5 + (a/b)
a = Length of shorter side of column
b= Length of longer side of column
Ks= 0.5 + (0.23 / 0.46 ) = = 1
If Ks is greater than 1
t'c= Ks X tc , Ks=1
t'c=tc
If Ks is less than 1
t'c= Ks X tc
t'c = 1.12
tv < t,c
HENCE SAFE IN SHEAR

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