Copy of Combined Footing-1
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Transcript of Copy of Combined Footing-1
Data :
Size of column C1 = 0.75 x 0.75
Size of column C2 = 0.75 x 0.75
Distance between Columns = 1.79 m
Grade of concrete = 25 N/mm2
Grade of steel = 415 N/mm2
xumax / d = 0.48
Ru = 3.46
Load on column C1 ( W1 ) = 124.40 KN
Load on column C2 ( W2 ) = 121.77 KN
Safe bearing capacity of soil = 250 KN/m2
Total load on footing = 270.79 KN
Required area of Footing = 1.08 m2
Moment About X-Axis (Mux1) = 26.29 KN-m
Moment About X-Axis (Mux2) = 21.61 KN-m
Moment About Z-Axis (Muz1) = 25.19 KN-m
Moment About Z-Axis (Muz2) = 19.70 KN-m
Total load on footing ( W = 1.1P ) = 270.79 KN
Safe bearing capacity of soil ( gsafe ) = 250 KN/m2
Area of Footing required (Areq = W /g safe) = 1.08 m2
Size of Footing Required (Bf x Lf) = 3 x 0.36
Provided size of the footing = 3 x 2.25
Plan of Footing :
Size of the footing = 3 x 2.25
Area of footing = 6.75 m2
Distance of C.G.of loads from centre of C1 = 0.89 m
Projection of footing from C1 , x1 = 0.600 m
Projection of footing from C2 , x2 = 0.610 m
DESIGN OF COMBINED FOOTING
Net upward pressure = 24.67 KN / m2
z
3000
C1 C2
890 C.G
2250 x
0.75 X 0.75 0.75 X 0.75
600 1790 610
25.2 z 19.70 About z
26.3 21.61 About x
124.4 121.775
0.6 1.79 0.61
83.25 KN/m
5071
1.5
SFD 51
74
10.21
1.5
15.49
14.99 BMD 35.19
Net upward pressure per metre run = 83.25 KN/m
Distance of max. B.M.from left end of footing = 1.5 m
Max. positive bending moment = 15.49 KN-m
Shear Force at the centre of C1 ( V1 ) = 74 KN
Shear Force at the centre of C2 ( V2 ) = 71 KN
Depth from max. B.M.consideration = 45 mm
Max. negative bending moment = 0.00 KN-m
Depth from max. B.M.consideration = 0 mm
Provide Depth = 300 mm
Effective Depth = 240 mm
Check for Bearing
(P/A) + (6*Mx/AB2) + (6*Mz/A
2B) = 45.80 < 250 SAFE P1
(P/A) - (6*Mx/AB2) + (6*Mz/A
2B) = 20.57 < 250 SAFE P2
(P/A) - (6*Mx/AB2) - (6*Mz/A
2B) = 2.83 < 250 SAFE P3
(P/A) + (6*Mx/AB2) - (6*Mz/A
2B) = 28.06 < 250 SAFE P4
Footing is Safe in bearing
45.8 28.06
B
20.57 2.83 A
Reinforcement @ middle:
Mu / Bf d2 = 0.00
% of Steel Pt required from SP: 16 = 0.12
Required Steel (Ast req) = 648 mm2
Dia Of Bars Provided ( f ) = 10 mm
Area Of each 10 mm dia bar = 78.54 mm2
No: Of 10 mm dia bars (required) = 8 Nos.
Spacing of main bars required ( Sreq ) = 281 mm
Provide main bars @ Spacing ( S ) = 200 mm
Reinforcement @ ends:
Mu / Bf d2 = 0.12
% of Steel Pt required from SP: 16 = 0.12
Required Steel (Ast req) = 648 mm2
Dia Of Bars Provided ( f ) = 10 mm
Area Of each 10 mm dia bar = 78.54 mm2
No: Of 10 mm dia bars (required) = 8 Nos.
Spacing of main bars required ( Sreq ) = 281 mm
Provide main bars @ Spacing ( S ) = 200 mm
Area provided = 884 mm2
pt. = 0.17 %
Min. Steel = 648 mm2
Dia. Of min. steel = 10 mm
Area of each bar = 78.54 mm2
Spacing of min. steel required = 272.71 mm
Provide Spacing = 200 mm
Transverse reinforcement under column C1:
Factored upward pressure under column C1 = 44.95 KN/m2
Bending at the face of column = 12.64 KN-m
Mu / Bf d2 = 0.18
% of Steel Pt required from SP: 16 = 0.12
Required Steel (Ast req) = 354.24 mm2
Dia Of Bars Provided ( f ) = 10 mm
Area Of each 10 mm dia bar = 78.54 mm2
No: Of 10 mm dia bars (required) = 5 Nos.
Spacing of main bars required ( Sreq ) = 299 mm
Provide main bars @ Spacing ( S ) = 200 mm
Area provided = 587 mm2
pt. = 0.2 %
Min. Steel = 354.24 mm2
Dia. Of min. steel = 10 mm
Area of each bar = 314.16 mm2
Spacing of min. steel required = 1090.83 mm
Provide Spacing = 200 mm
Transverse reinforcement under column C2:
Factored upward pressure under column C2 = 44.00 KN/m2
Bending at the face of column = 12.38 KN-m
Mu / Bf d2 = 0.18
% of Steel Pt required from SP: 16 = 0.12
Required Steel (Ast req) = 354.24 mm2
Dia Of Bars Provided ( f ) = 10 mm
Area Of each 10 mm dia bar = 78.54 mm2
No: Of 10 mm dia bars (required) = 5 Nos.
Spacing of main bars required ( Sreq ) = 301 mm
Provide main bars @ Spacing ( S ) = 200 mm
Area provided = 591.02 mm2
pt. = 0.17 %
CHECK FOR ONE WAY SHEAR :
Shear Force under Left Column @ d from face = -0.4 KN
Shear Force, Vu = -0.4 KN
Shear Stress,tv = 0.00 N/mm2
Permissible shear stress in concrete ( tc ) = 0.31 N/mm2
> 0.00
Footing is Safe in One Way Shear
CHECK FOR PUNCHING :
Critical width, bo = 0.99 m
Punching Shear Force at C1, Vu = 88.14 KN
Shear Stress, tv = 0.08 N/mm2
Permissible Shear Stress, tc = 1.25 N/mm2
> 0.08
Footing is Safe in Punching Shear
Dimension:
3 x 2.25 x 0.3
Reinforcement:Long Span:
Mid Span: Top 10 T @ 200 c/c
Bottom 10 T @ 200 c/c
End Span: Top 10 T @ 200 c/c
Bottom 10 T @ 200 c/c
Short Span:
Top 10 T @ 200 c/c
Bottom 10 T @ 200 c/c
Data :
Size of column C1 = 0.75 x 0.75
Size of column C2 = 0.75 x 0.75
Distance between Columns = 1.265 m
Grade of concrete = 25 N/mm2
Grade of steel = 415 N/mm2
xumax / d = 0.48
Ru = 3.46
Vertical Load on column C1 = 18 KN
Self weight of column C1 = 25 x 0.5625 x 5.84
= 82.13 KN
Load on column C1 ( W1 ) = 1.5 x 18.00 + 82.13
= 150.19 KN
Vertical Load on column C2 = -4.00 KN
Self weight of column C2 = 25 x 0.5625 x 6.47
= 90.98 KN
Load on column C2 ( W2 ) = 1.5 x -4 + 90.98
= 130.48 KN
Safe bearing capacity of soil = 250 KN/m2
Total load on footing = 308.73 KN
Required area of Footing = 1.23 m2
Total load on footing ( W = 1.1P ) = 308.73 KN
Safe bearing capacity of soil ( gsafe ) = 250 KN/m2
Area of Footing required (Areq = W /g safe) = 1.23 m2
Size of Footing Required (Bf x Lf) = 3 x 0.41
Provided size of the footing = 3 x 2.5
Plan of Footing :
Size of the footing = 3 x 2.5
DESIGN OF COMBINED FOOTING -2
Area of footing = 7.5 m2
Distance of C.G.of loads from centre of C1 = 0.59 m
Projection of footing from C1 , x1 = 0.870 m
Projection of footing from C2 , x2 = 0.865 m
Net upward pressure = 150.19 + 130.48 1.5 x 3.0 x 2.50
= 25.33 KN / m2
3000
C1 C2
590 C.G
2500
0.75 X 0.75 0.75 X 0.75
870 1265 865
150.19 130.48
0.87 1.265
95 KN/m
83 48
1.58
SFD
68 11.95 82
1.58
35.96 BMD 35.55
Net upward pressure per metre run = 25.33 x 2.5 x 1.5
= 95 KN/m
Distance of max. B.M.from left end of footing = 150.19 95
= 1.58 m
Max. positive bending moment = 35.96 KN-m
0.865
Shear Force at the centre of C1 ( V1 ) = 68 KN
Shear Force at the centre of C2 ( V2 ) = 48 KN
Depth from max. B.M.consideration = 64 mm
Max. negative bending moment = 11.95 KN-m
Depth from max. B.M.consideration = 37 mm
Provide Depth = 750 mm
Effective Depth = 690 mm
Check for Bearing
(P/A) = 24.95 < 250 SAFE
Reinforcement @ middle:
Mu / Bf d2 = 0.010
% of Steel Pt required from SP: 16 = 0.12
Required Steel (Ast req) = 2070 mm2
Dia Of Bars Provided ( f ) = 12 mm
Area Of each 12 mm dia bar = 113.1 mm2
No: Of 12 mm dia bars (required) = 18 Nos.
Spacing of main bars required ( Sreq ) = 139 mm
Provide main bars @ Spacing ( S ) = 100 mm
Reinforcement @ ends:
Mu / Bf d2 = 0.03
% of Steel Pt required from SP: 16 = 0.12
Required Steel (Ast req) = 2070 mm2
Dia Of Bars Provided ( f ) = 12 mm
Area Of each 12 mm dia bar = 113.1 mm2
No: Of 12 mm dia bars (required) = 18 Nos.
Spacing of main bars required ( Sreq ) = 139 mm
Provide main bars @ Spacing ( S ) = 100 mm
Area provided = 2828 mm2
pt. = 0.17 %
Min. Steel = 2070 mm2
Dia. Of min. steel = 12 mm
Area of each bar = 113.1 mm2
Spacing of min. steel required = 137 mm
Provide Spacing = 100 mm
Transverse reinforcement under column C1:
Factored upward pressure under column C1 = 28.21 KN/m2
Bending at the face of column = 10.80 KN-m
Mu / Bf d2 = 0.020
% of Steel Pt required from SP: 16 = 0.12
Required Steel (Ast req) = 1594 mm2
Dia Of Bars Provided ( f ) = 12 mm
Area Of each 12 mm dia bar = 113.1 mm2
No: Of 12 mm dia bars (required) = 14 Nos.
Spacing of main bars required ( Sreq ) = 107 mm
Provide main bars @ Spacing ( S ) = 100 mm
Area provided = 1699 mm2
pt. = 0.12 %
Min. Steel = 1594 mm2
Dia. Of min. steel = 12 mm
Area of each bar = 113.1 mm2
Spacing of min. steel required = 137 mm
Provide Spacing = 100 mm
Transverse reinforcement under column C2:
Factored upward pressure under column C2 = 24.50 KN/m2
Bending at the face of column = 9.38 KN-m
Mu / Bf d2 = 0.01
% of Steel Pt required from SP: 16 = 0.12
Required Steel (Ast req) = 1602 mm2
Dia Of Bars Provided ( f ) = 12 mm
Area Of each 12 mm dia bar = 113.1 mm2
No: Of 12 mm dia bars (required) = 14 Nos.
Spacing of main bars required ( Sreq ) = 137 mm
Provide main bars @ Spacing ( S ) = 100 mm
Area provided = 1694 mm2
pt. = 0.17 %
CHECK FOR ONE WAY SHEAR :
Shear Force under Left Column @ d from face = 82.7 - 95.0 x 0.69
= 17.10 KN
Shear Force, Vu = 17.1 KN
Shear Stress,tv = 0.010 N/mm2
Permissible shear stress in concrete ( tc ) = 0.31 N/mm2
> 0.010
Footing is Safe in One Way Shear
CHECK FOR PUNCHING :
Critical width, bo = 1.44 m
Punching Shear Force at C1, Vu = 150.19- 25.33 x 1.44 ^2
= 97.66 KN
Shear Stress, tv = 0.04 N/mm2
Permissible Shear Stress, tc = 1.25 N/mm2
> 0.04
Footing is Safe in Punching Shear
Dimension: 3 x 2.5 x 0.75
Reinforcement:Long Span:
Mid Span: Top 12 T @ 100 c/c
Bottom 12 T @ 100 c/c
End Span: Top 12 T @ 100 c/c
Bottom 12 T @ 100 c/cShort Span: Top 12 T @ 100 c/c
Bottom 12 T @ 100 c/c