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Foundation Design Calculation

The document contains the results of structural analysis software (STAAD) for a 3x2 table with a height of 1m under different load cases. It provides the reactions (forces and moments) at various nodes of the structure. It then calculates the maximum base pressure on the footing and checks the factor of safety against overturning and sliding. The calculations include the self-weight of the footing, restoring moments and forces, and coefficients of friction. Safety factors against overturning and sliding are provided for each load case.

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Pradip Nikam
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209 views13 pages

Foundation Design Calculation

The document contains the results of structural analysis software (STAAD) for a 3x2 table with a height of 1m under different load cases. It provides the reactions (forces and moments) at various nodes of the structure. It then calculates the maximum base pressure on the footing and checks the factor of safety against overturning and sliding. The calculations include the self-weight of the footing, restoring moments and forces, and coefficients of friction. Safety factors against overturning and sliding are provided for each load case.

Uploaded by

Pradip Nikam
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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Reactions

Reactions from STAAD_3x2 Table_1 m Ht


Node No. Load Cases Fx Fy Fz Mx My Mz
101 (DL+WL(+X)) -0.046 2.488 -0.001 -0.002 0 -0.006
102 (DL+WL(-X)) 0.203 -0.492 -0.001 0 0 -0.241
82
103 (DL+WL(+Z)) 0.117 0.56 -0.256 -0.185 0 -0.055
104 (DL+WL(-Z)) 0.094 0.552 0.254 0.183 0 -0.043
101 (DL+WL(+X)) -0.541 1.287 0.012 0.005 0 0.191
102 (DL+WL(-X)) 0.757 -3.138 0.004 0.002 0 -0.361
118
103 (DL+WL(+Z)) -0.097 0.425 -0.174 -0.101 0 0.024
104 (DL+WL(-Z)) -0.114 0.72 0.192 0.108 0 0.034
101 (DL+WL(+X)) -0.029 2.497 0 0.001 0 -0.014
102 (DL+WL(-X)) 0.186 -0.5 0.002 0.001 0 -0.233
153
103 (DL+WL(+Z)) 0.094 0.552 -0.256 -0.185 0 -0.043
104 (DL+WL(-Z)) 0.117 0.56 0.258 0.187 0 -0.056
101 (DL+WL(+X)) -0.556 1.277 -0.011 -0.004 0 0.195
102 (DL+WL(-X)) 0.772 -3.127 -0.006 -0.001 0 -0.364
157
103 (DL+WL(+Z)) -0.114 0.721 -0.488 -0.226 0 0.034
104 (DL+WL(-Z)) -0.097 0.426 0.47 0.221 0 0.024

Page 1
Footing base pressure

Fck 20 N/mm²
FE 415 N/mm²
Density of conc 23.543260742 KN/m²
LX 0.5
Lz 0.5
D 0.4
Self wt of footing Swf 2.354326074

Base pressure calculation

Fy FY+SW MX Mz
101 (DL+WL(+X)) 2.488 4.842326 -0.002 -0.006
102 (DL+WL(-X)) -0.492 1.862326 0 -0.241
103 (DL+WL(+Z)) 0.56 2.914326 -0.185 -0.055
104 (DL+WL(-Z)) 0.552 2.906326 0.183 -0.043
max

Sr no Load case Fy Mx Mz

KN KN-M KN
1 101 (DL+WL(+X)) 2.488 -0.002 -0.006
2 102 (DL+WL(-X)) -0.492 0 -0.241
3 103 (DL+WL(+Z)) 0.56 -0.185 -0.055
4 104 (DL+WL(-Z)) 0.552 0.183 -0.043

Check for stability

F.O.S. F.O.S.
Restoring
against against
Fz from moment overturni overturni
Sr no Fx from stadd FR (FX²+FZ²) in X (MXr) Restoring
staad = ng in X ng in z
moment (Mxr)/(M (Mzr)/(Mz
((r*(Lz/2)) in Z (MZr)
x) )
=
((r*(Lx/2))
1 -0.001 -0.046 0.05 1.09 1.09 -544.76 -181.59
2 -0.001 0.203 0.20 0.42 0.42 #DIV/0! -1.74
3 -0.256 0.117 0.28 0.66 0.66 -3.54 -11.92
4 0.254 0.094 0.27 0.65 0.65 3.57 -15.21
0.1
240

se pressure calculation

P/a+Mx/Zx+My/Zy P/a-Mx/Zx-My/Zy P/a+Mx/Zx-My/Zy P/a-Mx/Zx+My/Zy A Zx


18.985 19.753 19.561 19.177 0.25 0.020833333
-4.119 19.017 19.017 -4.119 0.25 0.020833333
0.137 23.177 5.417 17.897 0.25 0.020833333
18.345 4.905 22.473 0.777 0.25 0.020833333
23.177 min -4.119

Restoring
Total load ( P ) Restoring load ( r ) Lx Lz load ( 1*r
)
KN KN
4.84232607416127 4.84232607416127 0.5 0.5 4.358093
1.86232607416127 1.86232607416127 0.5 0.5 1.676093
2.91432607416127 2.91432607416127 0.5 0.5 2.622893
2.90632607416127 2.90632607416127 0.5 0.5 2.615693

Restoring force =(r F.O.S.against


X coeff of friction) sliding = (Restoring
(Coeff 0.8) Force ( r ) / FR )

3.87 84.19 0.8


1.49 7.34 0.8
2.33 8.28 0.8
2.33 8.58 0.8
Self weight of footing
Zy
0.02083333 2.35432607416127
0.02083333 2.35432607416127
0.02083333 2.35432607416127
0.02083333 2.35432607416127
Footing base pressure

Fck 20 N/mm²
FE 415 N/mm²
Density of conc 23.543260742 KN/m²
LX 0.725
Lz 0.725
D 0.4
Self wt of footing Swf 4.949970571

Base pressure calculation

Fy FY+SW MX Mz
101 (DL+WL(+X)) 1.287 6.236971 0.005 0.191
102 (DL+WL(-X)) -3.138 1.811971 0.002 -0.361
103 (DL+WL(+Z)) 0.425 5.374971 -0.101 0.024
104 (DL+WL(-Z)) 0.72 5.669971 0.108 0.034
max

Sr no Load case Fy Mx Mz

KN KN-M KN
1 101 (DL+WL(+X)) 1.287 0.005 0.191
2 102 (DL+WL(-X)) -3.138 0.002 -0.361
3 103 (DL+WL(+Z)) 0.425 -0.101 0.024
4 104 (DL+WL(-Z)) 0.72 0.108 0.034

Check for stability

F.O.S. F.O.S.
Restoring
against against
Fz from moment overturni overturni
Sr no Fx from stadd FR (FX²+FZ²) in X (MXr) Restoring
staad = ng in X ng in z
moment (Mxr)/(M (Mzr)/(Mz
((r*(Lz/2)) in Z (MZr)
x) )
=
((r*(Lx/2))
1 -0.001 -0.046 0.05 2.03 2.03 406.96 10.65
2 -0.001 0.203 0.20 0.59 0.59 295.58 -1.64
3 -0.256 0.117 0.28 1.75 1.75 -17.36 73.07
4 0.254 0.094 0.27 1.85 1.85 17.13 54.41
0.21025
504.6

se pressure calculation

P/a+Mx/Zx+My/Zy P/a-Mx/Zx-My/Zy P/a+Mx/Zx-My/Zy P/a-Mx/Zx+My/Zy A Zx


14.952 8.780 8.937 14.794 0.525625 0.063513021
-2.205 9.100 9.163 -2.268 0.525625 0.063513021
9.014 11.438 8.258 12.194 0.525625 0.063513021
13.023 8.551 11.952 9.622 0.525625 0.063513021
14.952 min -2.268

Restoring
Total load ( P ) Restoring load ( r ) Lx Lz load ( 1*r
)
KN KN
6.23697057092407 6.23697057092407 0.725 0.725 5.613274
1.81197057092407 1.81197057092407 0.725 0.725 1.630774
5.37497057092407 5.37497057092407 0.725 0.725 4.837474
5.66997057092407 5.66997057092407 0.725 0.725 5.102974

Restoring force =(r F.O.S.against


X coeff of friction) sliding = (Restoring
(Coeff 0.8) Force ( r ) / FR )

4.99 108.44 0.8


1.45 7.14 0.8
4.30 15.28 0.8
4.54 16.75 0.8
Self weight of footing
Zy
0.06351302 4.94997057092407
0.06351302 4.94997057092407
0.06351302 4.94997057092407
0.06351302 4.94997057092407
Footing base pressure

Fck 20 N/mm²
FE 415 N/mm²
Density of conc 23.543260742 KN/m²
LX 0.5
Lz 0.5
D 0.4
Self wt of footing Swf 2.354326074

Base pressure calculation

Fy FY+SW MX Mz
101 (DL+WL(+X)) 2.497 4.851326 0.001 -0.014
102 (DL+WL(-X)) -0.5 1.854326 0.001 -0.233
103 (DL+WL(+Z)) 0.552 2.906326 -0.185 -0.043
104 (DL+WL(-Z)) 0.56 2.914326 0.187 -0.056
max

Sr no Load case Fy Mx Mz

KN KN-M KN
1 101 (DL+WL(+X)) 2.497 0.001 -0.014
2 102 (DL+WL(-X)) -0.5 0.001 -0.233
3 103 (DL+WL(+Z)) 0.552 -0.185 -0.043
4 104 (DL+WL(-Z)) 0.56 0.187 -0.056

Check for stability

F.O.S. F.O.S.
Restoring
against against
Fz from moment overturni overturni
Sr no Fx from stadd FR (FX²+FZ²) in X (MXr) Restoring
staad = ng in X ng in z
moment (Mxr)/(M (Mzr)/(Mz
((r*(Lz/2)) in Z (MZr)
x) )
=
((r*(Lx/2))
1 -0.001 -0.046 0.05 1.09 1.09 1091.55 -77.97
2 -0.001 0.203 0.20 0.42 0.42 417.22 -1.79
3 -0.256 0.117 0.28 0.65 0.65 -3.53 -15.21
4 0.254 0.094 0.27 0.66 0.66 3.51 -11.71
0.1
240

se pressure calculation

P/a+Mx/Zx+My/Zy P/a-Mx/Zx-My/Zy P/a+Mx/Zx-My/Zy P/a-Mx/Zx+My/Zy A Zx


18.781 20.029 20.125 18.685 0.25 0.020833333
-3.719 18.553 18.649 -3.815 0.25 0.020833333
0.681 22.569 4.809 18.441 0.25 0.020833333
17.945 5.369 23.321 -0.007 0.25 0.020833333
23.321 min -3.815

Restoring
Total load ( P ) Restoring load ( r ) Lx Lz load ( 1*r
)
KN KN
4.85132607416127 4.85132607416127 0.5 0.5 4.366193
1.85432607416127 1.85432607416127 0.5 0.5 1.668893
2.90632607416127 2.90632607416127 0.5 0.5 2.615693
2.91432607416127 2.91432607416127 0.5 0.5 2.622893

Restoring force =(r F.O.S.against


X coeff of friction) sliding = (Restoring
(Coeff 0.8) Force ( r ) / FR )

3.88 84.35 0.8


1.48 7.31 0.8
2.33 8.26 0.8
2.33 8.61 0.8
Self weight of footing
Zy
0.02083333 2.35432607416127
0.02083333 2.35432607416127
0.02083333 2.35432607416127
0.02083333 2.35432607416127
Footing base pressure

Fck 20 N/mm²
FE 415 N/mm²
Density of conc 23.543260742 KN/m²
LX 0.725
Lz 0.725
D 0.4
Self wt of footing Swf 4.949970571

Base pressure calculation

Fy FY+SW MX Mz
101 (DL+WL(+X)) 1.277 6.226971 -0.004 0.195
102 (DL+WL(-X)) -3.127 1.822971 -0.001 -0.364
103 (DL+WL(+Z)) 0.721 5.670971 -0.226 0.034
104 (DL+WL(-Z)) 0.426 5.375971 0.221 0.024
max

Sr no Load case Fy Mx Mz

KN KN-M KN
1 101 (DL+WL(+X)) 1.277 -0.004 0.195
2 102 (DL+WL(-X)) -3.127 -0.001 -0.364
3 103 (DL+WL(+Z)) 0.721 -0.226 0.034
4 104 (DL+WL(-Z)) 0.426 0.221 0.024

Check for stability

F.O.S. F.O.S.
Restoring
against against
Fz from moment overturni overturni
Sr no Fx from stadd FR (FX²+FZ²) in X (MXr) Restoring
staad = ng in X ng in z
moment (Mxr)/(M (Mzr)/(Mz
((r*(Lz/2)) in Z (MZr)
x) )
=
((r*(Lx/2))
1 -0.001 -0.046 0.05 2.03 2.03 -507.89 10.42
2 -0.001 0.203 0.20 0.59 0.59 -594.74 -1.63
3 -0.256 0.117 0.28 1.85 1.85 -8.19 54.42
4 0.254 0.094 0.27 1.75 1.75 7.94 73.08
0.21025
504.6

se pressure calculation

P/a+Mx/Zx+My/Zy P/a-Mx/Zx-My/Zy P/a+Mx/Zx-My/Zy P/a-Mx/Zx+My/Zy A Zx


14.854 8.840 8.714 14.980 0.525625 0.063513021
-2.279 9.215 9.184 -2.247 0.525625 0.063513021
7.766 13.812 6.695 14.883 0.525625 0.063513021
14.085 6.370 13.329 7.126 0.525625 0.063513021
14.980 min -2.279

Restoring
Total load ( P ) Restoring load ( r ) Lx Lz load ( 1*r
)
KN KN
6.22697057092407 6.22697057092407 0.725 0.725 5.604274
1.82297057092407 1.82297057092407 0.725 0.725 1.640674
5.67097057092407 5.67097057092407 0.725 0.725 5.103874
5.37597057092407 5.37597057092407 0.725 0.725 4.838374

Restoring force =(r F.O.S.against


X coeff of friction) sliding = (Restoring
(Coeff 0.8) Force ( r ) / FR )

4.98 108.27 0.8


1.46 7.18 0.8
4.54 16.12 0.8
4.30 15.88 0.8
Self weight of footing
Zy
0.06351302 4.94997057092407
0.06351302 4.94997057092407
0.06351302 4.94997057092407
0.06351302 4.94997057092407

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