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Isolated Footing Design(ACI 318-08)
Design For Isolated Footing 15
Design For Isolated Footing 22
Design For Isolated Footing 36
Design For Isolated Footing 43
Design For Isolated Footing 88
Design For Isolated Footing 91
Footing No. Group ID Foundation Geometry - - Length Width Thickness
15 1 2.800m 2.500m 0.500m
Footing No. Footing Reinforcement Pedestal Reinforcement
- Bottom Reinforcement(Mz) Bottom Reinforcement(Mx) Top Reinforcement(Mz) Top Reinforcement(Mx) Main Steel Trans Steel
15 #16 @ 150 mm c/c #16 @ 150 mm c/c #16 @ 150 mm c/c #16 @ 150 mm c/c N/A N/A
Footing No. Group ID Foundation Geometry - - Length Width Thickness
22 2 2.800m 2.500m 0.500m
Footing No. Footing Reinforcement Pedestal Reinforcement
- Bottom Reinforcement(Mz) Bottom Reinforcement(Mx) Top Reinforcement(Mz) Top Reinforcement(Mx) Main Steel Trans Steel
22 #16 @ 150 mm c/c #16 @ 150 mm c/c #16 @ 150 mm c/c #16 @ 150 mm c/c N/A N/A
Footing No. Group ID Foundation Geometry - - Length Width Thickness
36 3 2.800m 2.500m 0.500m
Footing No. Footing Reinforcement Pedestal Reinforcement
- Bottom Reinforcement(Mz) Bottom Reinforcement(Mx) Top Reinforcement(Mz) Top Reinforcement(Mx) Main Steel Trans Steel
36 #16 @ 150 mm c/c #16 @ 150 mm c/c #16 @ 150 mm c/c #16 @ 150 mm c/c N/A N/A
Footing No. Group ID Foundation Geometry - - Length Width Thickness
43 4 2.800m 2.500m 0.500m
Footing No. Footing Reinforcement Pedestal Reinforcement
- Bottom Reinforcement(Mz) Bottom Reinforcement(Mx) Top Reinforcement(Mz) Top Reinforcement(Mx) Main Steel Trans Steel
43 #16 @ 150 mm c/c #16 @ 150 mm c/c #16 @ 150 mm c/c #16 @ 150 mm c/c N/A N/A
Footing No. Group ID Foundation Geometry - - Length Width Thickness
88 5 2.800m 2.500m 0.500m
Footing No. Footing Reinforcement Pedestal Reinforcement
- Bottom Reinforcement(Mz) Bottom Reinforcement(Mx) Top Reinforcement(Mz) Top Reinforcement(Mx) Main Steel Trans Steel
88 #16 @ 150 mm c/c #16 @ 150 mm c/c #16 @ 150 mm c/c #16 @ 150 mm c/c N/A N/A
Footing No. Group ID Foundation Geometry - - Length Width Thickness
91 6 2.800m 2.500m 0.500m
Footing No. Footing Reinforcement Pedestal Reinforcement
- Bottom Reinforcement(Mz) Bottom Reinforcement(Mx) Top Reinforcement(Mz) Top Reinforcement(Mx) Main Steel Trans Steel
91 #16 @ 150 mm c/c #16 @ 150 mm c/c #16 @ 150 mm c/c #16 @ 150 mm c/c N/A N/A
Isolated Footing 15
Input Values
Footing Geomtery
Column Dimensions
Design Type : Calculate Dimension
Footing Thickness (Ft) : 500.000mm
Footing Length - X (Fl) : 2800.000mm
Footing Width - Z (Fw) : 2500.000mm
Eccentricity along X (Oxd) : 0.000mm
Eccentricity along Z (Ozd) : 0.000mm
Column Shape : Rectangular
Column Length - X (Dcol) : 0.500m
Column Width - Z (Bcol) : 0.200m
Pedestal
Design Parameters
Concrete and Rebar Properties
Soil Properties
Sliding and Overturning
Design Calculations
Footing Size
Include Pedestal? No
Pedestal Shape : N/A
Pedestal Height (Ph) : N/A
Pedestal Length - X (Pl) : N/A
Pedestal Width - Z (Pw) : N/A
Unit Weight of Concrete : 25.000kN/m3
Strength of Concrete : 30.000N/mm2
Yield Strength of Steel : 415.000N/mm2
Minimum Bar Size : #16
Maximum Bar Size : #16
Pedestal Minimum Bar Size : 7
Pedestal Maximum Bar Size : 7
Minimum Bar Spacing : 150.000mm
Maximum Bar Spacing : 150.000mm
Pedestal Clear Cover (P, CL) : 50.000mm
Footing Clear Cover (F, CL) : 50.000mm
Soil Type : Drained
Unit Weight : 22.000kN/m3
Soil Bearing Capacity : 200.000kN/m2
Soil Bearing Capacity Type: Gross Bearing Capacity
Soil Surcharge : 5.000kN/m2
Depth of Soil above Footing : 2000.000mm
Cohesion : 0.000kN/m2
Coefficient of Friction : 0.500
Factor of Safety Against Sliding : 1.500
Factor of Safety Against Overturning : 1.500
------------------------------------------------------
Initial Length (Lo) = 2.800m
Initial Width (Wo) = 2.500m
Load Combination/s- Service Stress Level Load
Combination Number
Load Combination Title Load
Combination Factor
Soil Bearing Factor
Self Weight Factor
1 EQX 1.00 1.00 1.00
2 EQZ 1.00 1.00 1.00
3 WINDX 1.00 1.00 1.00
4 WINDZ 1.00 1.00 1.00
5 DEADLOAD 1.00 1.00 1.00
6 LIVELOAD 1.00 1.00 1.00
30 GENERATED AISC GENERAL 1 1.00 1.00 1.00
31 GENERATED AISC GENERAL 2 1.00 1.00 1.00
32 GENERATED AISC GENERAL 3 1.00 1.00 1.00
33 GENERATED AISC GENERAL 4 1.00 1.00 1.00
34 GENERATED AISC GENERAL 5 1.00 1.00 1.00
35 GENERATED AISC GENERAL 6 1.00 1.00 1.00
36 GENERATED AISC GENERAL 7 1.00 1.00 1.00
37 GENERATED AISC GENERAL 8 1.00 1.00 1.00
38 GENERATED AISC GENERAL 9 1.00 1.00 1.00
39 GENERATED AISC GENERAL 10 1.00 1.00 1.00
40 GENERATED AISC GENERAL 11 1.00 1.00 1.00
41 GENERATED AISC GENERAL 12 1.00 1.00 1.00
42 GENERATED AISC GENERAL 13 1.00 1.00 1.00
43 GENERATED AISC GENERAL 14 1.00 1.00 1.00
44 GENERATED AISC GENERAL 15 1.00 1.00 1.00
45 GENERATED AISC GENERAL 16 1.00 1.00 1.00
46 GENERATED AISC GENERAL 17 1.00 1.00 1.00
47 GENERATED AISC GENERAL 18 1.00 1.00 1.00
48 GENERATED AISC GENERAL 19 1.00 1.00 1.00
49 GENERATED AISC GENERAL 20 1.00 1.00 1.00
50 GENERATED AISC GENERAL 21 1.00 1.00 1.00
Load Combination
Number Load Combination Title
Load Combination
Factor
Soil Bearing Factor
Self Weight Factor
1 EQX 1.00 1.00 1.00
2 EQZ 1.00 1.00 1.00
3 WINDX 1.00 1.00 1.00
4 WINDZ 1.00 1.00 1.00
5 DEADLOAD 1.00 1.00 1.00
6 LIVELOAD 1.00 1.00 1.00
44 GENERATED AISC GENERAL 15 1.00 1.00 1.00
45 GENERATED AISC GENERAL 16 1.00 1.00 1.00
46 GENERATED AISC GENERAL 17 1.00 1.00 1.00
47 GENERATED AISC GENERAL 18 1.00 1.00 1.00
48 GENERATED AISC GENERAL 19 1.00 1.00 1.00
49 GENERATED AISC GENERAL 20 1.00 1.00 1.00
50 GENERATED AISC GENERAL 21 1.00 1.00 1.00
Applied Loads - Service Stress Level
LC Axial(kN)
Shear X (kN)
Shear Z (kN)
Moment X (kNm)
Moment Z(kNm)
1 -0.511 1.907 0.800 0.000 0.000
2 4.926 -0.009 2.808 0.000 0.000
3 -67.582 82.604 10.075 0.000 0.000
Final Footing Size
4 -4.239 -13.163 37.949 0.000 0.000
5 30.413 -1.709 1.050 0.000 0.000
6 36.285 -7.594 -0.856 0.000 0.000
30 30.413 -1.709 1.050 0.000 0.000
31 66.698 -9.303 0.194 0.000 0.000
32 57.627 -7.404 0.408 0.000 0.000
33 -37.170 80.895 11.124 0.000 0.000
34 26.174 -14.872 38.999 0.000 0.000
35 30.055 -0.374 1.609 0.000 0.000
36 33.861 -1.715 3.015 0.000 0.000
37 30.771 -3.044 0.490 0.000 0.000
38 26.965 -1.703 -0.916 0.000 0.000
39 6.940 54.549 7.964 0.000 0.000
40 54.448 -17.276 28.869 0.000 0.000
41 57.359 -6.403 0.827 0.000 0.000
42 60.213 -7.409 1.882 0.000 0.000
43 57.895 -8.406 -0.012 0.000 0.000
44 55.041 -7.400 -1.067 0.000 0.000
45 -49.335 81.579 10.704 0.000 0.000
46 14.009 -14.188 38.579 0.000 0.000
47 17.890 0.310 1.190 0.000 0.000
48 21.696 -1.031 2.595 0.000 0.000
49 18.605 -2.361 0.070 0.000 0.000
50 14.799 -1.019 -1.336 0.000 0.000
Applied Loads - Strength Level
LC Axial(kN)
Shear X (kN)
Shear Z (kN)
Moment X (kNm)
Moment Z(kNm)
1 -0.511 1.907 0.800 0.000 0.000
2 4.926 -0.009 2.808 0.000 0.000
3 -67.582 82.604 10.075 0.000 0.000
4 -4.239 -13.163 37.949 0.000 0.000
5 30.413 -1.709 1.050 0.000 0.000
6 36.285 -7.594 -0.856 0.000 0.000
44 55.041 -7.400 -1.067 0.000 0.000
45 -49.335 81.579 10.704 0.000 0.000
46 14.009 -14.188 38.579 0.000 0.000
47 17.890 0.310 1.190 0.000 0.000
48 21.696 -1.031 2.595 0.000 0.000
49 18.605 -2.361 0.070 0.000 0.000
50 14.799 -1.019 -1.336 0.000 0.000
Reduction of force due to buoyancy = 0.000kN
Effect due to adhesion = 0.000kN
Area from initial length and width, Ao =Lo X Wo = 7.000m2
Min. area required from bearing pressure, Amin = P / qmax = 2.461m2
Note: Amin is an initial estimation. P = Critical Factored Axial Load(without self weight/buoyancy/soil). qmax = Respective Factored Bearing Capacity.
Pressures at Four Corners
If Au is zero, there is no uplift and no pressure adjustment is necessary. Otherwise, to account for uplift, areas of negative
pressure will be set to zero and the pressure will be redistributed to remaining corners.
Summary of Adjusted Pressures at 4 corners Four Corners
Check for stability against overturning and sliding
Length (L2) = 2.800 m Governing Load Case : # 1
Width (W2) = 2.500 m Governing Load Case : # 1
Depth (D2) = 0.500 m Governing Load Case : # 44
Depth is governed by Ultimate Load Case
(Service check is performed with footing thickness requirements from concrete check)
Area (A2) = 7.000 m2
Final Pedestal Height = 0.000 m
Final Soil Height = 2.000 m
Footing Self Weight = 87.497 kN
Soil Weight On Top Of Footing = 303.589 kN
Load Case
Pressure at corner 1
(q1)(kN/m2)
Pressure at corner 2
(q2)(kN/m2)
Pressure at corner 3
(q3)(kN/m2)
Pressure at corner 4
(q4)(kN/m2)
Area of footing in uplift (Au)
(m2)
31 71.7170 68.8693 68.9356 71.7834 0.000
31 71.7170 68.8693 68.9356 71.7834 0.000
39 52.0749 68.7736 71.5040 54.8053 0.000
40 66.2716 60.9829 70.8810 76.1697 0.000
Load Case
Pressure atcorner 1 (q1)
(kN/m2)
Pressure atcorner 2 (q2)
(kN/m2)
Pressure atcorner 3 (q3)
(kN/m2)
Pressure atcorner 4 (q4)
(kN/m2)
31 71.7170 68.8693 68.9356 71.7834
31 71.7170 68.8693 68.9356 71.7834
39 52.0749 68.7736 71.5040 54.8053
40 66.2716 60.9829 70.8810 76.1697
Critical Load Case And The Governing Factor Of Safety For Overturning And Sliding - X Direction
- Factor of safety against sliding Factor of safety against overturning
Load Case No.
Along X-Direction
Along Z-Direction Resultant
About X-Direction
About Z-Direction
1 111.427 265.805 102.763 1329.026 623.990
2 25005.808 76.661 76.660 383.303 140032.525
3 2.167 17.768 2.151 88.838 12.135
4 16.005 5.551 5.245 27.757 89.630
5 133.414 217.188 113.679 1085.941 747.117
6 30.411 269.714 30.220 1348.571 170.303
30 133.414 217.188 113.679 1085.941 747.117
31 26.459 1271.688 26.453 6358.440 148.171
32 32.631 592.737 32.581 2963.687 182.732
33 2.401 17.458 2.378 87.290 13.444
34 15.189 5.792 5.412 28.960 85.057
35 609.516 141.548 137.879 707.738 3413.287
36 133.950 76.186 66.224 380.928 750.122
37 74.956 465.613 74.003 2328.067 419.754
38 132.873 247.091 117.026 1235.455 744.091
39 3.965 27.157 3.923 135.783 22.202
40 13.893 8.314 7.134 41.569 77.800
41 37.713 291.845 37.402 1459.223 211.193
42 32.785 129.081 31.776 645.404 183.598
43 28.759 19850.448 28.759 99252.238 161.052
44 32.476 225.320 32.144 1126.602 181.865
45 2.306 17.575 2.286 87.873 12.914
46 15.492 5.697 5.347 28.487 86.754
47 715.716 186.399 180.382 931.997 4008.009
48 216.831 86.168 80.077 430.841 1214.256
49 94.086 3166.095 94.044 15830.474 526.879
50 216.012 164.856 131.051 824.279 1209.668
Critical Load Case for Sliding along X-Direction : 3
Governing Disturbing Force : 82.604kN
Governing Restoring Force : 179.002kN
Minimum Sliding Ratio for the Critical Load Case : 2.167
Critical Load Case for Overturning about X-Direction : 4
Governing Overturning Moment : 18.974kNm
Governing Resisting Moment : 526.675kNm
Minimum Overturning Ratio for the Critical Load Case : 27.757
Critical Load Case And The Governing Factor Of Safety For Overturning And Sliding - Z Direction
Shear Calculation
Punching Shear Check
Effective depth, deff, increased until 0.75XVc Punching Shear Force
Punching Shear Force, Vu = 439.103kN, Load Case # 44
Critical Load Case for Sliding along Z-Direction : 4
Governing Disturbing Force : 37.949kN
Governing Restoring Force : 210.674kN
Minimum Sliding Ratio for the Critical Load Case : 5.551
Critical Load Case for Overturning about Z-Direction : 3
Governing Overturning Moment : -41.301kNm
Governing Resisting Moment : 501.196kNm
Minimum Overturning Ratio for the Critical Load Case : 12.135
Critical Load Case And The Governing Factor Of Safety For Sliding Along Resultant Direction
Critical Load Case for Sliding along Resultant Direction :
3
Governing Disturbing Force : 83.216kN
Governing Restoring Force : 179.002kN
Minimum Sliding Ratio for the Critical Load Case : 2.151
Compression Development Length Check
Development length skipped as column reinforcement is not specified in input (Column Dimnesion Task Pane)
Total Footing Depth, D = 0.500m
Calculated Effective Depth, deff = D - Ccover - 0.5 * db = 0.442m
For rectangular column, = Bcol / Dcol = 2.500
From ACI Cl.11.11.2, bo for column= 3.168m
Equation 11-31, Vc1 = 2292.610kN
One-Way Shear Check
Along X Direction
(Shear Plane Parallel to Global X Axis)
Check that 0.75 X Vc > Vux where Vux is the shear force for the critical load cases at a distance deff from the face of the column
caused by bending about the X axis.
One-Way Shear Check
Along Z Direction
(Shear Plane Parallel to Global Z Axis)
Equation 11-32, Vc2 = 4827.732kN
Equation 11-33, Vc3 = 2547.344kN
Punching shear strength, Vc = 0.75 X minimum of (Vc1, Vc2, Vc3) = 1719.457kN
0.75 X Vc > Vu hence, OK
From ACI Cl.11.2.1.1, Vc = 1125.720kN
Distance along X to design for shear, Dx = 0.708m
From above calculations, 0.75 X Vc = 844.290 kN
Critical load case for Vux is # 44 136.373 kN
0.75 X Vc > Vux hence, OK
Check that 0.75 X Vc > Vuz where Vuz is the shear force for the critical load cases at a distance deff from the face of the
column caused by bending about the Z axis.
Design for Flexure about Z Axis
(For Reinforcement Parallel to X Axis)
Calculate the flexural reinforcement along the X direction of the footing. Find the area of steel required, A, as per Section 3.8 of Reinforced Concrete Design (5th ed.) by Salmon and Wang (Ref. 1)
Critical Load Case # 44
The strength values of steel and concrete used in the formulae are in ksi
From ACI Cl.11.2.1.1, Vc =
1005.107 kN
Distance along X to design for shear, Dz = 0.708 m
From above calculations, 0.75 X Vc = 753.831 kN
Critical load case for Vuz is # 44 123.028 kN
0.75 X Vc > Vuz hence, OK
Bars parallel to X Direction are placed at bottom
Effective Depth deff= 0.442 m
Calculate reinforcement ratio for critical load case
Based on spacing reinforcement increment; provided reinforcement is
Because the number of bars is rounded up, make sure new reinforcement ratio < ρmax
Factor from ACI Cl.10.2.7.3 = 0.832
From ACI Cl. 10.3.2, = 0.03023
From ACI Cl. 10.3.3, = 0.02267
From ACI Cl. 7.12.2, = 0.00200
From Ref. 1, Eq. 3.8.4a, constant m = 16.275
Design for flexure about Z axis is performed at the face of the column
at a distance, Dx = 1.150 m
Ultimate moment, 114.862 kNm
Nominal moment capacity, Mn = 127.625 kNm
(Based on effective depth) Required =
0.00063
(Based on gross depth) x deff / Depth = 0.00056
Since ρ≤ ρmin ρmin Governs
Area of Steel Required, As = 2500.000 mm2
Selected bar Size = #16
Minimum spacing allowed (Smin) = = 150.000mm
Selected spacing (S) = 150.000mm
Smin<= S <= Smax and selected bar size < selected maximum bar size...
The reinforcement is accepted.
According to ACI 318 Clause No- 10.6.4
Max spacing for Cracking Consideration = 254.793mm
Safe for Cracking Aspect.
#16 @ 150.000mm o.c.
Required development length for bars = =0.305 m
Available development length for bars, DL=
1.100 m
Try bar size # 16 Area of one bar = 201.064 mm2
Number of bars required, Nbar = 15
Check to see if width is sufficient to accomodate bars
Design for Flexure about X axis
(For Reinforcement Parallel to Z Axis)
Calculate the flexural reinforcement along the Z direction of the footing. Find the area of steel required, A, as per Section 3.8 of Reinforced Concrete Design (5th ed.) by Salmon and Wang (Ref. 1)
Critical Load Case # 44
The strength values of steel and concrete used in the formulae are in ksi
Calculate reinforcement ratio for critical load case
Total reinforcement area, As_total = Nbar X (Area of one bar) = 3015.962 mm2
deff = D - Ccover - 0.5 X (dia. of one bar) = 0.442 m
Reinforcement ratio, = 0.00273
From ACI Cl.7.6.1, minimum req'd clear distance between bars
Cd = max (Diameter of one bar, 1.0" (25.4mm), Min. User Spacing) = 150.000mm
Bars parallel to X Direction are placed at bottom
Effective Depth deff= 0.426 m
Factor from ACI Cl.10.2.7.3 = 0.832
From ACI Cl. 10.3.2, = 0.03023
From ACI Cl. 10.3.3, = 0.02267
From ACI Cl.7.12.2, = 0.00200
From Ref. 1, Eq. 3.8.4a, constant m = 16.275
Design for flexure about X axis is performed at the face of the column
at a distance, Dz = 1.300 m
Based on spacing reinforcement increment; provided reinforcement is
Because the number of bars is rounded up, make sure new reinforcement ratio < ρmax
Check to see if width is sufficient to accomodate bars
Bending moment for uplift cases will be calculated based solely on selfweight, soil depth and surcharge loading.
As the footing size has already been determined based on all servicebility load cases, and design moment calculation is based on selfweight, soil depth and surcharge only, top reinforcement value for all pure uplift load cases will be the same.
Ultimate moment, 175.484 kNm
Nominal moment capacity, Mn = 194.982 kNm
(Based on effective depth) Required =
0.00104
(Based on gross depth) x deff / Depth = 0.00089
Since ρ≤ ρmin ρmin Governs
Area of Steel Required, As = 2800.000 mm2
Selected Bar Size = #16
Minimum spacing allowed (Smin) = 150.000mm
Selected spacing (S) = 150.000mm
Smin<= S <= Smax and selected bar size < selected maximum bar size...
The reinforcement is accepted.
According to ACI 318 Clause No- 10.6.4
Max spacing for Cracking Consideration = 254.793mm
Safe for Cracking Aspect.
#16 @ 150.000mm o.c.
Required development length for bars = 0.305 m
Available development length for bars, DL=
1.100 m
Try bar size # 16 Area of one bar = 201.064 mm2
Number of bars required, Nbar = 17
Total reinforcement area, As_total = Nbar X (Area of one bar) = 3418.090 mm2
deff = D - Ccover - 1.5 X (dia. of one bar)
=
0.426 m
Reinforcement ratio, = 0.00287
From ACI Cl.7.6.1, minimum req'd clear distance between bars
Cd = max (Diameter of one bar, 1.0" (25.4mm), Min. User Spacing) = 150.000mm
Design For Top Reinforcement Parallel to Z Axis
Calculate the flexural reinforcement for Mx. Find the area of steel required
The strength values of steel and concrete used in the formulae are in ksi
Calculate reinforcement ratio for critical load case
Factor from ACI Cl.10.2.7.3 = 0.832
From ACI Cl. 10.3.2, = 0.03023
From ACI Cl. 10.3.3, = 0.02267
From ACI Cl. 7.12.2, = 0.00200
From Ref. 1, Eq. 3.8.4a, constant m = 16.275
Design for flexure about X axis is performed at the face of the column
at a distance, Dx = 1.150 m
Ultimate moment, 113.861 kNm
Nominal moment capacity, Mn = 126.513 kNm
(Based on effective depth) Required =
0.00060
(Based on gross depth) x deff / Depth = 0.00051
Since ρ≤ ρmin ρmin Governs
Area of Steel Required, As = 2800.000 mm2
Selected bar Size = #16
Minimum spacing allowed (Smin) = 150.000mm
Selected spacing (S) = 150.000mm
Smin<= S <= Smax and selected bar size < selected maximum bar size...
Based on spacing reinforcement increment; provided reinforcement is
Design For Top Reinforcement Parallel to X Axis
First load case to be in pure uplift # 0
Calculate the flexural reinforcement for Mz. Find the area of steel required
The strength values of steel and concrete used in the formulae are in ksi
Calculate reinforcement ratio for critical load case
The reinforcement is accepted.
According to ACI 318 Clause No- 10.6.4
Max spacing for Cracking Consideration = 254.793mm
Safe for Cracking Aspect.
#16 @ 150.000mm o.c.
Factor from ACI Cl.10.2.7.3 = 0.832
From ACI Cl. 10.3.2, = 0.03023
From ACI Cl. 10.3.3, = 0.02267
From ACI Cl.7.12.2, = 0.00200
From Ref. 1, Eq. 3.8.4a, constant m = 16.275
Design for flexure about Z axis is performed at the face of the column
at a distance, Dx = 1.150 m
Ultimate moment, 101.662 kNm
Nominal moment capacity, Mn = 112.958 kNm
(Based on effective depth)Required =
0.00060
Based on spacing reinforcement increment; provided reinforcement is
Isolated Footing 22
(Based on gross depth) x deff / Depth = 0.00051
Since ρ≤ ρmin ρmin Governs
Area of Steel Required, As = 2500.000 mm2
Selected bar Size = #16
Minimum spacing allowed (Smin) = 150.000mm
Selected spacing (S) = 150.000mm
Smin<= S <= Smax and selected bar size < selected maximum bar size...
The reinforcement is accepted.
According to ACI 318 Clause No- 10.6.4
Max spacing for Cracking Consideration = 254.793mm
Safe for Cracking Aspect.
#16 @ 150.000mm o.c.
Input Values
Footing Geomtery
Column Dimensions
Pedestal
Design Type : Calculate Dimension
Footing Thickness (Ft) : 500.000mm
Footing Length - X (Fl) : 2800.000mm
Footing Width - Z (Fw) : 2500.000mm
Eccentricity along X (Oxd) : 0.000mm
Eccentricity along Z (Ozd) : 0.000mm
Column Shape : Rectangular
Column Length - X (Dcol) : 0.500m
Column Width - Z (Bcol) : 0.200m
Design Parameters
Concrete and Rebar Properties
Soil Properties
Sliding and Overturning
Design Calculations
Footing Size
Include Pedestal? No
Pedestal Shape : N/A
Pedestal Height (Ph) : N/A
Pedestal Length - X (Pl) : N/A
Pedestal Width - Z (Pw) : N/A
Unit Weight of Concrete : 25.000kN/m3
Strength of Concrete : 30.000N/mm2
Yield Strength of Steel : 415.000N/mm2
Minimum Bar Size : #16
Maximum Bar Size : #16
Pedestal Minimum Bar Size : 7
Pedestal Maximum Bar Size : 7
Minimum Bar Spacing : 150.000mm
Maximum Bar Spacing : 150.000mm
Pedestal Clear Cover (P, CL) : 50.000mm
Footing Clear Cover (F, CL) : 50.000mm
Soil Type : Drained
Unit Weight : 22.000kN/m3
Soil Bearing Capacity : 200.000kN/m2
Soil Bearing Capacity Type: Gross Bearing Capacity
Soil Surcharge : 5.000kN/m2
Depth of Soil above Footing : 2000.000mm
Cohesion : 0.000kN/m2
Coefficient of Friction : 0.500
Factor of Safety Against Sliding : 1.500
Factor of Safety Against Overturning : 1.500
------------------------------------------------------
Initial Length (Lo) = 2.800m
Initial Width (Wo) = 2.500m
Load Combination/s- Service Stress Level Load Load Soil Self
Combination Number Load Combination Title Combination
Factor Bearing Factor
Weight Factor
1 EQX 1.00 1.00 1.00
2 EQZ 1.00 1.00 1.00
3 WINDX 1.00 1.00 1.00
4 WINDZ 1.00 1.00 1.00
5 DEADLOAD 1.00 1.00 1.00
6 LIVELOAD 1.00 1.00 1.00
30 GENERATED AISC GENERAL 1 1.00 1.00 1.00
31 GENERATED AISC GENERAL 2 1.00 1.00 1.00
32 GENERATED AISC GENERAL 3 1.00 1.00 1.00
33 GENERATED AISC GENERAL 4 1.00 1.00 1.00
34 GENERATED AISC GENERAL 5 1.00 1.00 1.00
35 GENERATED AISC GENERAL 6 1.00 1.00 1.00
36 GENERATED AISC GENERAL 7 1.00 1.00 1.00
37 GENERATED AISC GENERAL 8 1.00 1.00 1.00
38 GENERATED AISC GENERAL 9 1.00 1.00 1.00
39 GENERATED AISC GENERAL 10 1.00 1.00 1.00
40 GENERATED AISC GENERAL 11 1.00 1.00 1.00
41 GENERATED AISC GENERAL 12 1.00 1.00 1.00
42 GENERATED AISC GENERAL 13 1.00 1.00 1.00
43 GENERATED AISC GENERAL 14 1.00 1.00 1.00
44 GENERATED AISC GENERAL 15 1.00 1.00 1.00
45 GENERATED AISC GENERAL 16 1.00 1.00 1.00
46 GENERATED AISC GENERAL 17 1.00 1.00 1.00
47 GENERATED AISC GENERAL 18 1.00 1.00 1.00
48 GENERATED AISC GENERAL 19 1.00 1.00 1.00
49 GENERATED AISC GENERAL 20 1.00 1.00 1.00
50 GENERATED AISC GENERAL 21 1.00 1.00 1.00
Load Combination
Number Load Combination Title
Load Combination
Factor
Soil Bearing Factor
Self Weight Factor
1 EQX 1.00 1.00 1.00
2 EQZ 1.00 1.00 1.00
3 WINDX 1.00 1.00 1.00
4 WINDZ 1.00 1.00 1.00
5 DEADLOAD 1.00 1.00 1.00
6 LIVELOAD 1.00 1.00 1.00
44 GENERATED AISC GENERAL 15 1.00 1.00 1.00
45 GENERATED AISC GENERAL 16 1.00 1.00 1.00
46 GENERATED AISC GENERAL 17 1.00 1.00 1.00
47 GENERATED AISC GENERAL 18 1.00 1.00 1.00
48 GENERATED AISC GENERAL 19 1.00 1.00 1.00
49 GENERATED AISC GENERAL 20 1.00 1.00 1.00
50 GENERATED AISC GENERAL 21 1.00 1.00 1.00
Applied Loads - Service Stress Level
LC Axial(kN)
Shear X (kN)
Shear Z (kN)
Moment X (kNm)
Moment Z(kNm)
1 0.204 1.870 -0.955 0.000 0.000
2 5.264 0.099 2.470 0.000 0.000
3 -60.419 32.036 -28.170 0.000 0.000
4 13.328 12.609 56.838 0.000 0.000
5 26.808 1.805 0.108 0.000 0.000
Final Footing Size
6 35.767 7.948 -2.608 0.000 0.000
30 26.808 1.805 0.108 0.000 0.000
31 62.575 9.753 -2.500 0.000 0.000
32 53.633 7.766 -1.848 0.000 0.000
33 -33.611 33.841 -28.061 0.000 0.000
34 40.136 14.414 56.946 0.000 0.000
35 26.951 3.114 -0.560 0.000 0.000
36 30.492 1.874 1.838 0.000 0.000
37 26.665 0.496 0.777 0.000 0.000
38 23.123 1.735 -1.621 0.000 0.000
39 8.319 31.793 -22.975 0.000 0.000
40 63.629 17.223 40.781 0.000 0.000
41 53.740 8.748 -2.349 0.000 0.000
42 56.396 7.818 -0.551 0.000 0.000
43 53.526 6.784 -1.346 0.000 0.000
44 50.870 7.714 -3.145 0.000 0.000
45 -44.334 33.119 -28.105 0.000 0.000
46 29.413 13.692 56.903 0.000 0.000
47 16.227 2.392 -0.604 0.000 0.000
48 19.769 1.153 1.794 0.000 0.000
49 15.942 -0.226 0.734 0.000 0.000
50 12.400 1.013 -1.664 0.000 0.000
Applied Loads - Strength Level
LC Axial(kN)
Shear X (kN)
Shear Z (kN)
Moment X (kNm)
Moment Z(kNm)
1 0.204 1.870 -0.955 0.000 0.000
2 5.264 0.099 2.470 0.000 0.000
3 -60.419 32.036 -28.170 0.000 0.000
4 13.328 12.609 56.838 0.000 0.000
5 26.808 1.805 0.108 0.000 0.000
6 35.767 7.948 -2.608 0.000 0.000
44 50.870 7.714 -3.145 0.000 0.000
45 -44.334 33.119 -28.105 0.000 0.000
46 29.413 13.692 56.903 0.000 0.000
47 16.227 2.392 -0.604 0.000 0.000
48 19.769 1.153 1.794 0.000 0.000
49 15.942 -0.226 0.734 0.000 0.000
50 12.400 1.013 -1.664 0.000 0.000
Reduction of force due to buoyancy = 0.000kN
Effect due to adhesion = 0.000kN
Area from initial length and width, Ao =Lo X Wo = 7.000m2
Min. area required from bearing pressure, Amin = P / qmax = 2.446m2
Note: Amin is an initial estimation. P = Critical Factored Axial Load(without self weight/buoyancy/soil). qmax = Respective Factored Bearing Capacity.
Pressures at Four Corners
If Au is zero, there is no uplift and no pressure adjustment is necessary. Otherwise, to account for uplift, areas of negative
pressure will be set to zero and the pressure will be redistributed to remaining corners.
Summary of Adjusted Pressures at 4 corners Four Corners
Check for stability against overturning and sliding
Length (L2) = 2.800 m Governing Load Case : # 1
Width (W2) = 2.500 m Governing Load Case : # 1
Depth (D2) = 0.500 m Governing Load Case : # 46
Depth is governed by Ultimate Load Case
(Service check is performed with footing thickness requirements from concrete check)
Area (A2) = 7.000 m2
Final Pedestal Height = 0.000 m
Final Soil Height = 2.000 m
Footing Self Weight = 87.497 kN
Soil Weight On Top Of Footing = 303.589 kN
Load Case
Pressure at corner 1
(q1)(kN/m2)
Pressure at corner 2
(q2)(kN/m2)
Pressure at corner 3
(q3)(kN/m2)
Pressure at corner 4
(q4)(kN/m2)
Area of footing in uplift (Au)
(m2)
31 68.6730 71.6586 70.8015 67.8159 0.000
31 68.6730 71.6586 70.8015 67.8159 0.000
40 60.2608 65.5330 79.5150 74.2427 0.000
40 60.2608 65.5330 79.5150 74.2427 0.000
Load Case
Pressure atcorner 1 (q1)
(kN/m2)
Pressure atcorner 2 (q2)
(kN/m2)
Pressure atcorner 3 (q3)
(kN/m2)
Pressure atcorner 4 (q4)
(kN/m2)
31 68.6730 71.6586 70.8015 67.8159
31 68.6730 71.6586 70.8015 67.8159
40 60.2608 65.5330 79.5150 74.2427
40 60.2608 65.5330 79.5150 74.2427
Critical Load Case And The Governing Factor Of Safety For Overturning And Sliding - X Direction
- Factor of safety against sliding Factor of safety against overturning
Load Case No.
Along X-Direction
Along Z-Direction Resultant
About X-Direction
About Z-Direction
1 113.850 222.841 101.384 1114.205 637.558
2 2168.174 87.205 87.134 436.024 12141.774
3 5.699 6.482 4.280 32.408 31.916
4 17.405 3.861 3.769 19.306 97.468
5 125.321 2085.552 125.095 10427.760 701.798
6 29.023 88.438 27.576 442.190 162.529
30 125.321 2085.552 125.095 10427.760 701.798
31 25.026 97.637 24.243 488.183 140.147
32 30.854 129.673 30.016 648.365 172.781
33 5.791 6.984 4.458 34.921 32.432
34 16.155 4.089 3.964 20.446 90.470
35 72.664 403.836 71.515 2019.179 406.916
36 121.654 124.090 86.871 620.451 681.263
37 455.932 290.943 245.261 1454.715 2553.220
38 129.282 138.425 94.483 692.123 723.980
39 6.824 9.443 5.531 47.215 38.214
40 14.203 5.998 5.526 29.991 79.535
41 27.397 102.012 26.460 510.059 153.425
42 30.825 437.469 30.748 2187.346 172.618
43 35.311 177.946 34.635 889.728 197.740
44 30.883 75.755 28.598 378.774 172.947
45 5.756 6.783 4.389 33.914 32.232
46 16.616 3.998 3.887 19.990 93.048
47 92.355 365.933 89.547 1829.663 517.186
48 193.210 124.102 104.418 620.512 1081.978
49 976.779 300.837 287.510 1504.186 5469.961
50 216.095 131.594 112.394 657.971 1210.130
Critical Load Case for Sliding along X-Direction : 3
Governing Disturbing Force : 32.036kN
Governing Restoring Force : 182.584kN
Minimum Sliding Ratio for the Critical Load Case : 5.699
Critical Load Case for Overturning about X-Direction : 4
Governing Overturning Moment : 28.418kNm
Governing Resisting Moment : 548.633kNm
Minimum Overturning Ratio for the Critical Load Case : 19.306
Critical Load Case And The Governing Factor Of Safety For Overturning And Sliding - Z Direction
Shear Calculation
Punching Shear Check
Effective depth, deff, increased until 0.75XVc Punching Shear Force
Punching Shear Force, Vu = 435.293kN, Load Case # 44
Critical Load Case for Sliding along Z-Direction : 4
Governing Disturbing Force : 56.838kN
Governing Restoring Force : 219.457kN
Minimum Sliding Ratio for the Critical Load Case : 3.861
Critical Load Case for Overturning about Z-Direction : 3
Governing Overturning Moment : -16.018kNm
Governing Resisting Moment : 511.225kNm
Minimum Overturning Ratio for the Critical Load Case : 31.916
Critical Load Case And The Governing Factor Of Safety For Sliding Along Resultant Direction
Critical Load Case for Sliding along Resultant Direction :
4
Governing Disturbing Force : 58.220kN
Governing Restoring Force : 219.457kN
Minimum Sliding Ratio for the Critical Load Case : 3.769
Compression Development Length Check
Development length skipped as column reinforcement is not specified in input (Column Dimnesion Task Pane)
Total Footing Depth, D = 0.500m
Calculated Effective Depth, deff = D - Ccover - 0.5 * db = 0.442m
For rectangular column, = Bcol / Dcol = 2.500
From ACI Cl.11.11.2, bo for column= 3.168m
Equation 11-31, Vc1 = 2292.610kN
One-Way Shear Check
Along X Direction
(Shear Plane Parallel to Global X Axis)
Check that 0.75 X Vc > Vux where Vux is the shear force for the critical load cases at a distance deff from the face of the column
caused by bending about the X axis.
One-Way Shear Check
Along Z Direction
(Shear Plane Parallel to Global Z Axis)
Equation 11-32, Vc2 = 4827.732kN
Equation 11-33, Vc3 = 2547.344kN
Punching shear strength, Vc = 0.75 X minimum of (Vc1, Vc2, Vc3) = 1719.457kN
0.75 X Vc > Vu hence, OK
From ACI Cl.11.2.1.1, Vc = 1125.720kN
Distance along X to design for shear, Dx = 0.708m
From above calculations, 0.75 X Vc = 844.290 kN
Critical load case for Vux is # 46 142.717 kN
0.75 X Vc > Vux hence, OK
Check that 0.75 X Vc > Vuz where Vuz is the shear force for the critical load cases at a distance deff from the face of the
column caused by bending about the Z axis.
Design for Flexure about Z Axis
(For Reinforcement Parallel to X Axis)
Calculate the flexural reinforcement along the X direction of the footing. Find the area of steel required, A, as per Section 3.8 of Reinforced Concrete Design (5th ed.) by Salmon and Wang (Ref. 1)
Critical Load Case # 44
The strength values of steel and concrete used in the formulae are in ksi
From ACI Cl.11.2.1.1, Vc =
1005.107 kN
Distance along X to design for shear, Dz = 0.708 m
From above calculations, 0.75 X Vc = 753.831 kN
Critical load case for Vuz is # 44 122.037 kN
0.75 X Vc > Vuz hence, OK
Bars parallel to X Direction are placed at bottom
Effective Depth deff= 0.442 m
Calculate reinforcement ratio for critical load case
Based on spacing reinforcement increment; provided reinforcement is
Because the number of bars is rounded up, make sure new reinforcement ratio < ρmax
Factor from ACI Cl.10.2.7.3 = 0.832
From ACI Cl. 10.3.2, = 0.03023
From ACI Cl. 10.3.3, = 0.02267
From ACI Cl. 7.12.2, = 0.00200
From Ref. 1, Eq. 3.8.4a, constant m = 16.275
Design for flexure about Z axis is performed at the face of the column
at a distance, Dx = 1.150 m
Ultimate moment, 113.937 kNm
Nominal moment capacity, Mn = 126.596 kNm
(Based on effective depth) Required =
0.00063
(Based on gross depth) x deff / Depth = 0.00055
Since ρ≤ ρmin ρmin Governs
Area of Steel Required, As = 2500.000 mm2
Selected bar Size = #16
Minimum spacing allowed (Smin) = = 150.000mm
Selected spacing (S) = 150.000mm
Smin<= S <= Smax and selected bar size < selected maximum bar size...
The reinforcement is accepted.
According to ACI 318 Clause No- 10.6.4
Max spacing for Cracking Consideration = 254.793mm
Safe for Cracking Aspect.
#16 @ 150.000mm o.c.
Required development length for bars = =0.305 m
Available development length for bars, DL=
1.100 m
Try bar size # 16 Area of one bar = 201.064 mm2
Number of bars required, Nbar = 15
Check to see if width is sufficient to accomodate bars
Design for Flexure about X axis
(For Reinforcement Parallel to Z Axis)
Calculate the flexural reinforcement along the Z direction of the footing. Find the area of steel required, A, as per Section 3.8 of Reinforced Concrete Design (5th ed.) by Salmon and Wang (Ref. 1)
Critical Load Case # 44
The strength values of steel and concrete used in the formulae are in ksi
Calculate reinforcement ratio for critical load case
Total reinforcement area, As_total = Nbar X (Area of one bar) = 3015.962 mm2
deff = D - Ccover - 0.5 X (dia. of one bar) = 0.442 m
Reinforcement ratio, = 0.00273
From ACI Cl.7.6.1, minimum req'd clear distance between bars
Cd = max (Diameter of one bar, 1.0" (25.4mm), Min. User Spacing) = 150.000mm
Bars parallel to X Direction are placed at bottom
Effective Depth deff= 0.426 m
Factor from ACI Cl.10.2.7.3 = 0.832
From ACI Cl. 10.3.2, = 0.03023
From ACI Cl. 10.3.3, = 0.02267
From ACI Cl.7.12.2, = 0.00200
From Ref. 1, Eq. 3.8.4a, constant m = 16.275
Design for flexure about X axis is performed at the face of the column
at a distance, Dz = 1.300 m
Based on spacing reinforcement increment; provided reinforcement is
Because the number of bars is rounded up, make sure new reinforcement ratio < ρmax
Check to see if width is sufficient to accomodate bars
Bending moment for uplift cases will be calculated based solely on selfweight, soil depth and surcharge loading.
As the footing size has already been determined based on all servicebility load cases, and design moment calculation is based on selfweight, soil depth and surcharge only, top reinforcement value for all pure uplift load cases will be the same.
Ultimate moment, 174.545 kNm
Nominal moment capacity, Mn = 193.939 kNm
(Based on effective depth) Required =
0.00104
(Based on gross depth) x deff / Depth = 0.00089
Since ρ≤ ρmin ρmin Governs
Area of Steel Required, As = 2800.000 mm2
Selected Bar Size = #16
Minimum spacing allowed (Smin) = 150.000mm
Selected spacing (S) = 150.000mm
Smin<= S <= Smax and selected bar size < selected maximum bar size...
The reinforcement is accepted.
According to ACI 318 Clause No- 10.6.4
Max spacing for Cracking Consideration = 254.793mm
Safe for Cracking Aspect.
#16 @ 150.000mm o.c.
Required development length for bars = 0.305 m
Available development length for bars, DL=
1.100 m
Try bar size # 16 Area of one bar = 201.064 mm2
Number of bars required, Nbar = 17
Total reinforcement area, As_total = Nbar X (Area of one bar) = 3418.090 mm2
deff = D - Ccover - 1.5 X (dia. of one bar)
=
0.426 m
Reinforcement ratio, = 0.00287
From ACI Cl.7.6.1, minimum req'd clear distance between bars
Cd = max (Diameter of one bar, 1.0" (25.4mm), Min. User Spacing) = 150.000mm
Design For Top Reinforcement Parallel to Z Axis
Calculate the flexural reinforcement for Mx. Find the area of steel required
The strength values of steel and concrete used in the formulae are in ksi
Calculate reinforcement ratio for critical load case
Factor from ACI Cl.10.2.7.3 = 0.832
From ACI Cl. 10.3.2, = 0.03023
From ACI Cl. 10.3.3, = 0.02267
From ACI Cl. 7.12.2, = 0.00200
From Ref. 1, Eq. 3.8.4a, constant m = 16.275
Design for flexure about X axis is performed at the face of the column
at a distance, Dx = 1.150 m
Ultimate moment, 113.861 kNm
Nominal moment capacity, Mn = 126.513 kNm
(Based on effective depth) Required =
0.00060
(Based on gross depth) x deff / Depth = 0.00051
Since ρ≤ ρmin ρmin Governs
Area of Steel Required, As = 2800.000 mm2
Selected bar Size = #16
Minimum spacing allowed (Smin) = 150.000mm
Selected spacing (S) = 150.000mm
Smin<= S <= Smax and selected bar size < selected maximum bar size...
Based on spacing reinforcement increment; provided reinforcement is
Design For Top Reinforcement Parallel to X Axis
First load case to be in pure uplift # 0
Calculate the flexural reinforcement for Mz. Find the area of steel required
The strength values of steel and concrete used in the formulae are in ksi
Calculate reinforcement ratio for critical load case
The reinforcement is accepted.
According to ACI 318 Clause No- 10.6.4
Max spacing for Cracking Consideration = 254.793mm
Safe for Cracking Aspect.
#16 @ 150.000mm o.c.
Factor from ACI Cl.10.2.7.3 = 0.832
From ACI Cl. 10.3.2, = 0.03023
From ACI Cl. 10.3.3, = 0.02267
From ACI Cl.7.12.2, = 0.00200
From Ref. 1, Eq. 3.8.4a, constant m = 16.275
Design for flexure about Z axis is performed at the face of the column
at a distance, Dx = 1.150 m
Ultimate moment, 101.662 kNm
Nominal moment capacity, Mn = 112.958 kNm
(Based on effective depth)Required =
0.00060
Based on spacing reinforcement increment; provided reinforcement is
Isolated Footing 36
(Based on gross depth) x deff / Depth = 0.00051
Since ρ≤ ρmin ρmin Governs
Area of Steel Required, As = 2500.000 mm2
Selected bar Size = #16
Minimum spacing allowed (Smin) = 150.000mm
Selected spacing (S) = 150.000mm
Smin<= S <= Smax and selected bar size < selected maximum bar size...
The reinforcement is accepted.
According to ACI 318 Clause No- 10.6.4
Max spacing for Cracking Consideration = 254.793mm
Safe for Cracking Aspect.
#16 @ 150.000mm o.c.
Input Values
Footing Geomtery
Column Dimensions
Pedestal
Design Type : Calculate Dimension
Footing Thickness (Ft) : 500.000mm
Footing Length - X (Fl) : 2800.000mm
Footing Width - Z (Fw) : 2500.000mm
Eccentricity along X (Oxd) : 0.000mm
Eccentricity along Z (Ozd) : 0.000mm
Column Shape : Rectangular
Column Length - X (Dcol) : 0.500m
Column Width - Z (Bcol) : 0.200m
Design Parameters
Concrete and Rebar Properties
Soil Properties
Sliding and Overturning
Design Calculations
Footing Size
Include Pedestal? No
Pedestal Shape : N/A
Pedestal Height (Ph) : N/A
Pedestal Length - X (Pl) : N/A
Pedestal Width - Z (Pw) : N/A
Unit Weight of Concrete : 25.000kN/m3
Strength of Concrete : 30.000N/mm2
Yield Strength of Steel : 415.000N/mm2
Minimum Bar Size : #16
Maximum Bar Size : #16
Pedestal Minimum Bar Size : 7
Pedestal Maximum Bar Size : 7
Minimum Bar Spacing : 150.000mm
Maximum Bar Spacing : 150.000mm
Pedestal Clear Cover (P, CL) : 50.000mm
Footing Clear Cover (F, CL) : 50.000mm
Soil Type : Drained
Unit Weight : 22.000kN/m3
Soil Bearing Capacity : 200.000kN/m2
Soil Bearing Capacity Type: Gross Bearing Capacity
Soil Surcharge : 5.000kN/m2
Depth of Soil above Footing : 2000.000mm
Cohesion : 0.000kN/m2
Coefficient of Friction : 0.500
Factor of Safety Against Sliding : 1.500
Factor of Safety Against Overturning : 1.500
------------------------------------------------------
Initial Length (Lo) = 2.800m
Initial Width (Wo) = 2.500m
Load Combination/s- Service Stress Level Load Load Soil Self
Combination Number Load Combination Title Combination
Factor Bearing Factor
Weight Factor
1 EQX 1.00 1.00 1.00
2 EQZ 1.00 1.00 1.00
3 WINDX 1.00 1.00 1.00
4 WINDZ 1.00 1.00 1.00
5 DEADLOAD 1.00 1.00 1.00
6 LIVELOAD 1.00 1.00 1.00
30 GENERATED AISC GENERAL 1 1.00 1.00 1.00
31 GENERATED AISC GENERAL 2 1.00 1.00 1.00
32 GENERATED AISC GENERAL 3 1.00 1.00 1.00
33 GENERATED AISC GENERAL 4 1.00 1.00 1.00
34 GENERATED AISC GENERAL 5 1.00 1.00 1.00
35 GENERATED AISC GENERAL 6 1.00 1.00 1.00
36 GENERATED AISC GENERAL 7 1.00 1.00 1.00
37 GENERATED AISC GENERAL 8 1.00 1.00 1.00
38 GENERATED AISC GENERAL 9 1.00 1.00 1.00
39 GENERATED AISC GENERAL 10 1.00 1.00 1.00
40 GENERATED AISC GENERAL 11 1.00 1.00 1.00
41 GENERATED AISC GENERAL 12 1.00 1.00 1.00
42 GENERATED AISC GENERAL 13 1.00 1.00 1.00
43 GENERATED AISC GENERAL 14 1.00 1.00 1.00
44 GENERATED AISC GENERAL 15 1.00 1.00 1.00
45 GENERATED AISC GENERAL 16 1.00 1.00 1.00
46 GENERATED AISC GENERAL 17 1.00 1.00 1.00
47 GENERATED AISC GENERAL 18 1.00 1.00 1.00
48 GENERATED AISC GENERAL 19 1.00 1.00 1.00
49 GENERATED AISC GENERAL 20 1.00 1.00 1.00
50 GENERATED AISC GENERAL 21 1.00 1.00 1.00
Load Combination
Number Load Combination Title
Load Combination
Factor
Soil Bearing Factor
Self Weight Factor
1 EQX 1.00 1.00 1.00
2 EQZ 1.00 1.00 1.00
3 WINDX 1.00 1.00 1.00
4 WINDZ 1.00 1.00 1.00
5 DEADLOAD 1.00 1.00 1.00
6 LIVELOAD 1.00 1.00 1.00
44 GENERATED AISC GENERAL 15 1.00 1.00 1.00
45 GENERATED AISC GENERAL 16 1.00 1.00 1.00
46 GENERATED AISC GENERAL 17 1.00 1.00 1.00
47 GENERATED AISC GENERAL 18 1.00 1.00 1.00
48 GENERATED AISC GENERAL 19 1.00 1.00 1.00
49 GENERATED AISC GENERAL 20 1.00 1.00 1.00
50 GENERATED AISC GENERAL 21 1.00 1.00 1.00
Applied Loads - Service Stress Level
LC Axial(kN)
Shear X (kN)
Shear Z (kN)
Moment X (kNm)
Moment Z(kNm)
1 -1.921 2.093 -0.000 0.000 0.000
2 -0.000 0.000 -0.074 0.000 0.000
3 -95.834 86.938 0.001 0.000 0.000
4 -63.466 -12.249 -0.468 0.000 0.000
5 28.687 -1.823 0.000 0.000 0.000
Final Footing Size
6 40.053 -8.172 0.000 0.000 0.000
30 28.687 -1.823 0.000 0.000 0.000
31 68.739 -9.994 0.000 0.000 0.000
32 58.726 -7.952 0.000 0.000 0.000
33 -67.147 85.115 0.001 0.000 0.000
34 -34.779 -14.072 -0.468 0.000 0.000
35 27.342 -0.358 0.000 0.000 0.000
36 28.687 -1.823 -0.052 0.000 0.000
37 30.032 -3.288 0.000 0.000 0.000
38 28.687 -1.823 0.052 0.000 0.000
39 -13.149 57.252 0.001 0.000 0.000
40 11.127 -17.138 -0.351 0.000 0.000
41 57.718 -6.853 0.000 0.000 0.000
42 58.726 -7.952 -0.039 0.000 0.000
43 59.735 -9.050 0.000 0.000 0.000
44 58.726 -7.952 0.039 0.000 0.000
45 -78.622 85.844 0.001 0.000 0.000
46 -46.254 -13.342 -0.468 0.000 0.000
47 15.867 0.371 0.000 0.000 0.000
48 17.212 -1.094 -0.052 0.000 0.000
49 18.557 -2.559 0.000 0.000 0.000
50 17.212 -1.094 0.052 0.000 0.000
Applied Loads - Strength Level
LC Axial(kN)
Shear X (kN)
Shear Z (kN)
Moment X (kNm)
Moment Z(kNm)
1 -1.921 2.093 -0.000 0.000 0.000
2 -0.000 0.000 -0.074 0.000 0.000
3 -95.834 86.938 0.001 0.000 0.000
4 -63.466 -12.249 -0.468 0.000 0.000
5 28.687 -1.823 0.000 0.000 0.000
6 40.053 -8.172 0.000 0.000 0.000
44 58.726 -7.952 0.039 0.000 0.000
45 -78.622 85.844 0.001 0.000 0.000
46 -46.254 -13.342 -0.468 0.000 0.000
47 15.867 0.371 0.000 0.000 0.000
48 17.212 -1.094 -0.052 0.000 0.000
49 18.557 -2.559 0.000 0.000 0.000
50 17.212 -1.094 0.052 0.000 0.000
Reduction of force due to buoyancy = 0.000kN
Effect due to adhesion = 0.000kN
Area from initial length and width, Ao =Lo X Wo = 7.000m2
Min. area required from bearing pressure, Amin = P / qmax = 2.472m2
Note: Amin is an initial estimation. P = Critical Factored Axial Load(without self weight/buoyancy/soil). qmax = Respective Factored Bearing Capacity.
Pressures at Four Corners
If Au is zero, there is no uplift and no pressure adjustment is necessary. Otherwise, to account for uplift, areas of negative
pressure will be set to zero and the pressure will be redistributed to remaining corners.
Summary of Adjusted Pressures at 4 corners Four Corners
Check for stability against overturning and sliding
Length (L2) = 2.800 m Governing Load Case : # 1
Width (W2) = 2.500 m Governing Load Case : # 1
Depth (D2) = 0.500 m Governing Load Case : # 44
Depth is governed by Ultimate Load Case
(Service check is performed with footing thickness requirements from concrete check)
Area (A2) = 7.000 m2
Final Pedestal Height = 0.000 m
Final Soil Height = 2.000 m
Footing Self Weight = 87.497 kN
Soil Weight On Top Of Footing = 303.589 kN
Load Case
Pressure at corner 1
(q1)(kN/m2)
Pressure at corner 2
(q2)(kN/m2)
Pressure at corner 3
(q3)(kN/m2)
Pressure at corner 4
(q4)(kN/m2)
Area of footing in uplift (Au)
(m2)
31 72.1477 69.0882 69.0882 72.1477 0.000
31 72.1477 69.0882 69.0882 72.1477 0.000
31 72.1477 69.0882 69.0882 72.1477 0.000
31 72.1477 69.0882 69.0882 72.1477 0.000
Load Case
Pressure atcorner 1 (q1)
(kN/m2)
Pressure atcorner 2 (q2)
(kN/m2)
Pressure atcorner 3 (q3)
(kN/m2)
Pressure atcorner 4 (q4)
(kN/m2)
31 72.1477 69.0882 69.0882 72.1477
31 72.1477 69.0882 69.0882 72.1477
31 72.1477 69.0882 69.0882 72.1477
31 72.1477 69.0882 69.0882 72.1477
Critical Load Case And The Governing Factor Of Safety For Overturning And Sliding - X Direction
- Factor of safety against sliding Factor of safety against overturning
Load Case No.
Along X-Direction
Along Z-Direction Resultant
About X-Direction
About Z-Direction
1 101.215 0.000 101.215 0.000 566.805
2 0.000 2878.813 2878.813 14394.065 0.000
3 1.896 247261.853 1.896 1236309.263 10.620
4 14.782 387.033 14.771 1935.167 82.779
5 124.602 0.000 124.602 0.000 697.769
6 28.491 0.000 28.491 0.000 159.552
30 124.602 0.000 124.602 0.000 697.769
31 24.730 0.000 24.730 0.000 138.488
32 30.454 0.000 30.454 0.000 170.542
33 2.106 268767.388 2.106 1343836.942 11.791
34 13.886 417.694 13.879 2088.470 77.764
35 632.795 0.000 632.795 0.000 3543.652
36 124.602 4389.803 124.551 21949.013 697.769
37 69.287 0.000 69.287 0.000 388.005
38 124.602 4389.800 124.551 21949.002 697.769
39 3.602 412339.276 3.602 2061696.379 20.171
40 12.741 622.344 12.738 3111.719 71.350
41 35.263 0.000 35.263 0.000 197.474
42 30.454 6240.112 30.454 31200.562 170.542
43 26.812 0.000 26.812 0.000 150.149
44 30.454 6240.108 30.454 31200.542 170.542
45 2.021 260165.279 2.021 1300826.397 11.317
46 14.215 405.430 14.207 2027.149 79.606
47 594.499 0.000 594.499 0.000 3329.194
48 202.424 4278.918 202.198 21394.588 1133.573
49 86.789 0.000 86.789 0.000 486.016
50 202.424 4278.916 202.198 21394.582 1133.573
Critical Load Case for Sliding along X-Direction : 2
Governing Disturbing Force : 0.000kN
Governing Restoring Force : 212.793kN
Minimum Sliding Ratio for the Critical Load Case : N/A
Critical Load Case for Overturning about X-Direction : 1
Governing Overturning Moment : -0.000kNm
Governing Resisting Moment : 529.571kNm
Minimum Overturning Ratio for the Critical Load Case : N/A
Critical Load Case And The Governing Factor Of Safety For Overturning And Sliding - Z Direction
Shear Calculation
Punching Shear Check
Effective depth, deff, increased until 0.75XVc Punching Shear Force
Punching Shear Force, Vu = 442.470kN, Load Case # 44
Critical Load Case for Sliding along Z-Direction : 1
Governing Disturbing Force : -0.000kN
Governing Restoring Force : 211.832kN
Minimum Sliding Ratio for the Critical Load Case : N/A
Critical Load Case for Overturning about Z-Direction : 2
Governing Overturning Moment : -0.000kNm
Governing Resisting Moment : 595.810kNm
Minimum Overturning Ratio for the Critical Load Case : N/A
Critical Load Case And The Governing Factor Of Safety For Sliding Along Resultant Direction
Critical Load Case for Sliding along Resultant Direction :
3
Governing Disturbing Force : 86.938kN
Governing Restoring Force : 164.876kN
Minimum Sliding Ratio for the Critical Load Case : 1.896
Compression Development Length Check
Development length skipped as column reinforcement is not specified in input (Column Dimnesion Task Pane)
Total Footing Depth, D = 0.500m
Calculated Effective Depth, deff = D - Ccover - 0.5 * db = 0.442m
For rectangular column, = Bcol / Dcol = 2.500
From ACI Cl.11.11.2, bo for column= 3.168m
Equation 11-31, Vc1 = 2292.610kN
One-Way Shear Check
Along X Direction
(Shear Plane Parallel to Global X Axis)
Check that 0.75 X Vc > Vux where Vux is the shear force for the critical load cases at a distance deff from the face of the column
caused by bending about the X axis.
One-Way Shear Check
Along Z Direction
(Shear Plane Parallel to Global Z Axis)
Equation 11-32, Vc2 = 4827.732kN
Equation 11-33, Vc3 = 2547.344kN
Punching shear strength, Vc = 0.75 X minimum of (Vc1, Vc2, Vc3) = 1719.457kN
0.75 X Vc > Vu hence, OK
From ACI Cl.11.2.1.1, Vc = 1125.720kN
Distance along X to design for shear, Dx = 0.708m
From above calculations, 0.75 X Vc = 844.290 kN
Critical load case for Vux is # 44 137.167 kN
0.75 X Vc > Vux hence, OK
Check that 0.75 X Vc > Vuz where Vuz is the shear force for the critical load cases at a distance deff from the face of the
column caused by bending about the Z axis.
Design for Flexure about Z Axis
(For Reinforcement Parallel to X Axis)
Calculate the flexural reinforcement along the X direction of the footing. Find the area of steel required, A, as per Section 3.8 of Reinforced Concrete Design (5th ed.) by Salmon and Wang (Ref. 1)
Critical Load Case # 44
The strength values of steel and concrete used in the formulae are in ksi
From ACI Cl.11.2.1.1, Vc =
1005.107 kN
Distance along X to design for shear, Dz = 0.708 m
From above calculations, 0.75 X Vc = 753.831 kN
Critical load case for Vuz is # 44 124.071 kN
0.75 X Vc > Vuz hence, OK
Bars parallel to X Direction are placed at bottom
Effective Depth deff= 0.442 m
Calculate reinforcement ratio for critical load case
Based on spacing reinforcement increment; provided reinforcement is
Because the number of bars is rounded up, make sure new reinforcement ratio < ρmax
Factor from ACI Cl.10.2.7.3 = 0.832
From ACI Cl. 10.3.2, = 0.03023
From ACI Cl. 10.3.3, = 0.02267
From ACI Cl. 7.12.2, = 0.00200
From Ref. 1, Eq. 3.8.4a, constant m = 16.275
Design for flexure about Z axis is performed at the face of the column
at a distance, Dx = 1.150 m
Ultimate moment, 115.834 kNm
Nominal moment capacity, Mn = 128.705 kNm
(Based on effective depth) Required =
0.00064
(Based on gross depth) x deff / Depth = 0.00056
Since ρ≤ ρmin ρmin Governs
Area of Steel Required, As = 2500.000 mm2
Selected bar Size = #16
Minimum spacing allowed (Smin) = = 150.000mm
Selected spacing (S) = 150.000mm
Smin<= S <= Smax and selected bar size < selected maximum bar size...
The reinforcement is accepted.
According to ACI 318 Clause No- 10.6.4
Max spacing for Cracking Consideration = 254.793mm
Safe for Cracking Aspect.
#16 @ 150.000mm o.c.
Required development length for bars = =0.305 m
Available development length for bars, DL=
1.100 m
Try bar size # 16 Area of one bar = 201.064 mm2
Number of bars required, Nbar = 15
Check to see if width is sufficient to accomodate bars
Design for Flexure about X axis
(For Reinforcement Parallel to Z Axis)
Calculate the flexural reinforcement along the Z direction of the footing. Find the area of steel required, A, as per Section 3.8 of Reinforced Concrete Design (5th ed.) by Salmon and Wang (Ref. 1)
Critical Load Case # 44
The strength values of steel and concrete used in the formulae are in ksi
Calculate reinforcement ratio for critical load case
Total reinforcement area, As_total = Nbar X (Area of one bar) = 3015.962 mm2
deff = D - Ccover - 0.5 X (dia. of one bar) = 0.442 m
Reinforcement ratio, = 0.00273
From ACI Cl.7.6.1, minimum req'd clear distance between bars
Cd = max (Diameter of one bar, 1.0" (25.4mm), Min. User Spacing) = 150.000mm
Bars parallel to X Direction are placed at bottom
Effective Depth deff= 0.426 m
Factor from ACI Cl.10.2.7.3 = 0.832
From ACI Cl. 10.3.2, = 0.03023
From ACI Cl. 10.3.3, = 0.02267
From ACI Cl.7.12.2, = 0.00200
From Ref. 1, Eq. 3.8.4a, constant m = 16.275
Design for flexure about X axis is performed at the face of the column
at a distance, Dz = 1.300 m
Based on spacing reinforcement increment; provided reinforcement is
Because the number of bars is rounded up, make sure new reinforcement ratio < ρmax
Check to see if width is sufficient to accomodate bars
Bending moment for uplift cases will be calculated based solely on selfweight, soil depth and surcharge loading.
As the footing size has already been determined based on all servicebility load cases, and design moment calculation is based on selfweight, soil depth and surcharge only, top reinforcement value for all pure uplift load cases will be the same.
Ultimate moment, 176.518 kNm
Nominal moment capacity, Mn = 196.131 kNm
(Based on effective depth) Required =
0.00105
(Based on gross depth) x deff / Depth = 0.00090
Since ρ≤ ρmin ρmin Governs
Area of Steel Required, As = 2800.000 mm2
Selected Bar Size = #16
Minimum spacing allowed (Smin) = 150.000mm
Selected spacing (S) = 150.000mm
Smin<= S <= Smax and selected bar size < selected maximum bar size...
The reinforcement is accepted.
According to ACI 318 Clause No- 10.6.4
Max spacing for Cracking Consideration = 254.793mm
Safe for Cracking Aspect.
#16 @ 150.000mm o.c.
Required development length for bars = 0.305 m
Available development length for bars, DL=
1.100 m
Try bar size # 16 Area of one bar = 201.064 mm2
Number of bars required, Nbar = 17
Total reinforcement area, As_total = Nbar X (Area of one bar) = 3418.090 mm2
deff = D - Ccover - 1.5 X (dia. of one bar)
=
0.426 m
Reinforcement ratio, = 0.00287
From ACI Cl.7.6.1, minimum req'd clear distance between bars
Cd = max (Diameter of one bar, 1.0" (25.4mm), Min. User Spacing) = 150.000mm
Design For Top Reinforcement Parallel to Z Axis
Calculate the flexural reinforcement for Mx. Find the area of steel required
The strength values of steel and concrete used in the formulae are in ksi
Calculate reinforcement ratio for critical load case
Factor from ACI Cl.10.2.7.3 = 0.832
From ACI Cl. 10.3.2, = 0.03023
From ACI Cl. 10.3.3, = 0.02267
From ACI Cl. 7.12.2, = 0.00200
From Ref. 1, Eq. 3.8.4a, constant m = 16.275
Design for flexure about X axis is performed at the face of the column
at a distance, Dx = 1.150 m
Ultimate moment, 113.861 kNm
Nominal moment capacity, Mn = 126.513 kNm
(Based on effective depth) Required =
0.00060
(Based on gross depth) x deff / Depth = 0.00051
Since ρ≤ ρmin ρmin Governs
Area of Steel Required, As = 2800.000 mm2
Selected bar Size = #16
Minimum spacing allowed (Smin) = 150.000mm
Selected spacing (S) = 150.000mm
Smin<= S <= Smax and selected bar size < selected maximum bar size...
Based on spacing reinforcement increment; provided reinforcement is
Design For Top Reinforcement Parallel to X Axis
First load case to be in pure uplift # 0
Calculate the flexural reinforcement for Mz. Find the area of steel required
The strength values of steel and concrete used in the formulae are in ksi
Calculate reinforcement ratio for critical load case
The reinforcement is accepted.
According to ACI 318 Clause No- 10.6.4
Max spacing for Cracking Consideration = 254.793mm
Safe for Cracking Aspect.
#16 @ 150.000mm o.c.
Factor from ACI Cl.10.2.7.3 = 0.832
From ACI Cl. 10.3.2, = 0.03023
From ACI Cl. 10.3.3, = 0.02267
From ACI Cl.7.12.2, = 0.00200
From Ref. 1, Eq. 3.8.4a, constant m = 16.275
Design for flexure about Z axis is performed at the face of the column
at a distance, Dx = 1.150 m
Ultimate moment, 101.662 kNm
Nominal moment capacity, Mn = 112.958 kNm
(Based on effective depth)Required =
0.00060
Based on spacing reinforcement increment; provided reinforcement is
Isolated Footing 43
(Based on gross depth) x deff / Depth = 0.00051
Since ρ≤ ρmin ρmin Governs
Area of Steel Required, As = 2500.000 mm2
Selected bar Size = #16
Minimum spacing allowed (Smin) = 150.000mm
Selected spacing (S) = 150.000mm
Smin<= S <= Smax and selected bar size < selected maximum bar size...
The reinforcement is accepted.
According to ACI 318 Clause No- 10.6.4
Max spacing for Cracking Consideration = 254.793mm
Safe for Cracking Aspect.
#16 @ 150.000mm o.c.
Input Values
Footing Geomtery
Column Dimensions
Pedestal
Design Type : Calculate Dimension
Footing Thickness (Ft) : 500.000mm
Footing Length - X (Fl) : 2800.000mm
Footing Width - Z (Fw) : 2500.000mm
Eccentricity along X (Oxd) : 0.000mm
Eccentricity along Z (Ozd) : 0.000mm
Column Shape : Rectangular
Column Length - X (Dcol) : 0.500m
Column Width - Z (Bcol) : 0.200m
Design Parameters
Concrete and Rebar Properties
Soil Properties
Sliding and Overturning
Design Calculations
Footing Size
Include Pedestal? No
Pedestal Shape : N/A
Pedestal Height (Ph) : N/A
Pedestal Length - X (Pl) : N/A
Pedestal Width - Z (Pw) : N/A
Unit Weight of Concrete : 25.000kN/m3
Strength of Concrete : 30.000N/mm2
Yield Strength of Steel : 415.000N/mm2
Minimum Bar Size : #16
Maximum Bar Size : #16
Pedestal Minimum Bar Size : 7
Pedestal Maximum Bar Size : 7
Minimum Bar Spacing : 150.000mm
Maximum Bar Spacing : 150.000mm
Pedestal Clear Cover (P, CL) : 50.000mm
Footing Clear Cover (F, CL) : 50.000mm
Soil Type : Drained
Unit Weight : 22.000kN/m3
Soil Bearing Capacity : 200.000kN/m2
Soil Bearing Capacity Type: Gross Bearing Capacity
Soil Surcharge : 5.000kN/m2
Depth of Soil above Footing : 2000.000mm
Cohesion : 0.000kN/m2
Coefficient of Friction : 0.500
Factor of Safety Against Sliding : 1.500
Factor of Safety Against Overturning : 1.500
------------------------------------------------------
Initial Length (Lo) = 2.800m
Initial Width (Wo) = 2.500m
Load Combination/s- Service Stress Level Load Load Soil Self
Combination Number Load Combination Title Combination
Factor Bearing Factor
Weight Factor
1 EQX 1.00 1.00 1.00
2 EQZ 1.00 1.00 1.00
3 WINDX 1.00 1.00 1.00
4 WINDZ 1.00 1.00 1.00
5 DEADLOAD 1.00 1.00 1.00
6 LIVELOAD 1.00 1.00 1.00
30 GENERATED AISC GENERAL 1 1.00 1.00 1.00
31 GENERATED AISC GENERAL 2 1.00 1.00 1.00
32 GENERATED AISC GENERAL 3 1.00 1.00 1.00
33 GENERATED AISC GENERAL 4 1.00 1.00 1.00
34 GENERATED AISC GENERAL 5 1.00 1.00 1.00
35 GENERATED AISC GENERAL 6 1.00 1.00 1.00
36 GENERATED AISC GENERAL 7 1.00 1.00 1.00
37 GENERATED AISC GENERAL 8 1.00 1.00 1.00
38 GENERATED AISC GENERAL 9 1.00 1.00 1.00
39 GENERATED AISC GENERAL 10 1.00 1.00 1.00
40 GENERATED AISC GENERAL 11 1.00 1.00 1.00
41 GENERATED AISC GENERAL 12 1.00 1.00 1.00
42 GENERATED AISC GENERAL 13 1.00 1.00 1.00
43 GENERATED AISC GENERAL 14 1.00 1.00 1.00
44 GENERATED AISC GENERAL 15 1.00 1.00 1.00
45 GENERATED AISC GENERAL 16 1.00 1.00 1.00
46 GENERATED AISC GENERAL 17 1.00 1.00 1.00
47 GENERATED AISC GENERAL 18 1.00 1.00 1.00
48 GENERATED AISC GENERAL 19 1.00 1.00 1.00
49 GENERATED AISC GENERAL 20 1.00 1.00 1.00
50 GENERATED AISC GENERAL 21 1.00 1.00 1.00
Load Combination
Number Load Combination Title
Load Combination
Factor
Soil Bearing Factor
Self Weight Factor
1 EQX 1.00 1.00 1.00
2 EQZ 1.00 1.00 1.00
3 WINDX 1.00 1.00 1.00
4 WINDZ 1.00 1.00 1.00
5 DEADLOAD 1.00 1.00 1.00
6 LIVELOAD 1.00 1.00 1.00
44 GENERATED AISC GENERAL 15 1.00 1.00 1.00
45 GENERATED AISC GENERAL 16 1.00 1.00 1.00
46 GENERATED AISC GENERAL 17 1.00 1.00 1.00
47 GENERATED AISC GENERAL 18 1.00 1.00 1.00
48 GENERATED AISC GENERAL 19 1.00 1.00 1.00
49 GENERATED AISC GENERAL 20 1.00 1.00 1.00
50 GENERATED AISC GENERAL 21 1.00 1.00 1.00
Applied Loads - Service Stress Level
LC Axial(kN)
Shear X (kN)
Shear Z (kN)
Moment X (kNm)
Moment Z(kNm)
1 2.054 2.051 0.000 0.000 0.000
2 -0.000 0.000 -0.289 0.000 0.000
3 -26.273 35.249 -0.004 0.000 0.000
4 -58.112 11.220 -1.818 0.000 0.000
5 25.170 1.815 -0.000 0.000 0.000
Final Footing Size
6 40.223 8.205 0.000 0.000 0.000
30 25.170 1.815 -0.000 0.000 0.000
31 65.393 10.020 0.000 0.000 0.000
32 55.337 7.969 0.000 0.000 0.000
33 -1.103 37.064 -0.004 0.000 0.000
34 -32.942 13.035 -1.818 0.000 0.000
35 26.608 3.251 -0.000 0.000 0.000
36 25.170 1.815 -0.202 0.000 0.000
37 23.732 0.379 -0.000 0.000 0.000
38 25.170 1.815 0.202 0.000 0.000
39 35.632 34.406 -0.003 0.000 0.000
40 11.753 16.384 -1.363 0.000 0.000
41 56.415 9.046 0.000 0.000 0.000
42 55.337 7.969 -0.152 0.000 0.000
43 54.259 6.892 0.000 0.000 0.000
44 55.337 7.969 0.152 0.000 0.000
45 -11.171 36.338 -0.004 0.000 0.000
46 -43.010 12.309 -1.818 0.000 0.000
47 16.540 2.525 -0.000 0.000 0.000
48 15.102 1.089 -0.202 0.000 0.000
49 13.664 -0.347 -0.000 0.000 0.000
50 15.102 1.089 0.202 0.000 0.000
Applied Loads - Strength Level
LC Axial(kN)
Shear X (kN)
Shear Z (kN)
Moment X (kNm)
Moment Z(kNm)
1 2.054 2.051 0.000 0.000 0.000
2 -0.000 0.000 -0.289 0.000 0.000
3 -26.273 35.249 -0.004 0.000 0.000
4 -58.112 11.220 -1.818 0.000 0.000
5 25.170 1.815 -0.000 0.000 0.000
6 40.223 8.205 0.000 0.000 0.000
44 55.337 7.969 0.152 0.000 0.000
45 -11.171 36.338 -0.004 0.000 0.000
46 -43.010 12.309 -1.818 0.000 0.000
47 16.540 2.525 -0.000 0.000 0.000
48 15.102 1.089 -0.202 0.000 0.000
49 13.664 -0.347 -0.000 0.000 0.000
50 15.102 1.089 0.202 0.000 0.000
Reduction of force due to buoyancy = 0.000kN
Effect due to adhesion = 0.000kN
Area from initial length and width, Ao =Lo X Wo = 7.000m2
Min. area required from bearing pressure, Amin = P / qmax = 2.455m2
Note: Amin is an initial estimation. P = Critical Factored Axial Load(without self weight/buoyancy/soil). qmax = Respective Factored Bearing Capacity.
Pressures at Four Corners
If Au is zero, there is no uplift and no pressure adjustment is necessary. Otherwise, to account for uplift, areas of negative
pressure will be set to zero and the pressure will be redistributed to remaining corners.
Summary of Adjusted Pressures at 4 corners Four Corners
Check for stability against overturning and sliding
Length (L2) = 2.800 m Governing Load Case : # 1
Width (W2) = 2.500 m Governing Load Case : # 1
Depth (D2) = 0.500 m Governing Load Case : # 44
Depth is governed by Ultimate Load Case
(Service check is performed with footing thickness requirements from concrete check)
Area (A2) = 7.000 m2
Final Pedestal Height = 0.000 m
Final Soil Height = 2.000 m
Footing Self Weight = 87.497 kN
Soil Weight On Top Of Footing = 303.589 kN
Load Case
Pressure at corner 1
(q1)(kN/m2)
Pressure at corner 2
(q2)(kN/m2)
Pressure at corner 3
(q3)(kN/m2)
Pressure at corner 4
(q4)(kN/m2)
Area of footing in uplift (Au)
(m2)
31 68.6061 71.6736 71.6736 68.6061 0.000
31 68.6061 71.6736 71.6736 68.6061 0.000
31 68.6061 71.6736 71.6736 68.6061 0.000
31 68.6061 71.6736 71.6736 68.6061 0.000
Load Case
Pressure atcorner 1 (q1)
(kN/m2)
Pressure atcorner 2 (q2)
(kN/m2)
Pressure atcorner 3 (q3)
(kN/m2)
Pressure atcorner 4 (q4)
(kN/m2)
31 68.6061 71.6736 71.6736 68.6061
31 68.6061 71.6736 71.6736 68.6061
31 68.6061 71.6736 71.6736 68.6061
31 68.6061 71.6736 71.6736 68.6061
Critical Load Case And The Governing Factor Of Safety For Overturning And Sliding - X Direction
- Factor of safety against sliding Factor of safety against overturning
Load Case No.
Along X-Direction
Along Z-Direction Resultant
About X-Direction
About Z-Direction
1 104.252 0.000 104.252 0.000 583.811
2 0.000 736.496 736.496 3682.478 0.000
3 5.664 45409.448 5.664 227047.242 31.720
4 16.376 101.090 16.166 505.448 91.708
5 124.176 0.000 124.176 0.000 695.386
6 28.384 0.000 28.384 0.000 158.951
30 124.176 0.000 124.176 0.000 695.386
31 24.499 0.000 24.499 0.000 137.193
32 30.174 0.000 30.174 0.000 168.976
33 5.726 48271.742 5.726 241358.708 32.068
34 15.062 108.014 14.917 540.068 84.345
35 69.554 0.000 69.554 0.000 389.501
36 124.176 1114.362 123.412 5571.810 695.386
37 592.311 0.000 592.311 0.000 3316.939
38 124.176 1114.362 123.412 5571.810 695.386
39 6.703 69932.412 6.703 349662.060 37.535
40 13.347 160.412 13.301 802.059 74.741
41 26.642 0.000 26.642 0.000 149.196
42 30.174 1585.255 30.169 7926.275 168.976
43 34.810 0.000 34.810 0.000 194.937
44 30.174 1585.255 30.169 7926.274 168.976
45 5.702 47126.826 5.702 235634.128 31.933
46 15.541 105.244 15.374 526.220 87.029
47 87.561 0.000 87.561 0.000 490.339
48 202.338 1089.472 198.936 5447.359 1133.091
49 633.471 0.000 633.471 0.000 3547.435
50 202.338 1089.472 198.936 5447.359 1133.091
Critical Load Case for Sliding along X-Direction : 2
Governing Disturbing Force : 0.000kN
Governing Restoring Force : 212.793kN
Minimum Sliding Ratio for the Critical Load Case : N/A
Critical Load Case for Overturning about X-Direction : 1
Governing Overturning Moment : 0.000kNm
Governing Resisting Moment : 534.540kNm
Minimum Overturning Ratio for the Critical Load Case : N/A
Critical Load Case And The Governing Factor Of Safety For Overturning And Sliding - Z Direction
Shear Calculation
Punching Shear Check
Effective depth, deff, increased until 0.75XVc Punching Shear Force
Punching Shear Force, Vu = 439.374kN, Load Case # 44
Critical Load Case for Sliding along Z-Direction : 1
Governing Disturbing Force : 0.000kN
Governing Restoring Force : 213.820kN
Minimum Sliding Ratio for the Critical Load Case : N/A
Critical Load Case for Overturning about Z-Direction : 2
Governing Overturning Moment : -0.000kNm
Governing Resisting Moment : 595.810kNm
Minimum Overturning Ratio for the Critical Load Case : N/A
Critical Load Case And The Governing Factor Of Safety For Sliding Along Resultant Direction
Critical Load Case for Sliding along Resultant Direction :
3
Governing Disturbing Force : 35.249kN
Governing Restoring Force : 199.656kN
Minimum Sliding Ratio for the Critical Load Case : 5.664
Compression Development Length Check
Development length skipped as column reinforcement is not specified in input (Column Dimnesion Task Pane)
Total Footing Depth, D = 0.500m
Calculated Effective Depth, deff = D - Ccover - 0.5 * db = 0.442m
For rectangular column, = Bcol / Dcol = 2.500
From ACI Cl.11.11.2, bo for column= 3.168m
Equation 11-31, Vc1 = 2292.610kN
One-Way Shear Check
Along X Direction
(Shear Plane Parallel to Global X Axis)
Check that 0.75 X Vc > Vux where Vux is the shear force for the critical load cases at a distance deff from the face of the column
caused by bending about the X axis.
One-Way Shear Check
Along Z Direction
(Shear Plane Parallel to Global Z Axis)
Equation 11-32, Vc2 = 4827.732kN
Equation 11-33, Vc3 = 2547.344kN
Punching shear strength, Vc = 0.75 X minimum of (Vc1, Vc2, Vc3) = 1719.457kN
0.75 X Vc > Vu hence, OK
From ACI Cl.11.2.1.1, Vc = 1125.720kN
Distance along X to design for shear, Dx = 0.708m
From above calculations, 0.75 X Vc = 844.290 kN
Critical load case for Vux is # 44 136.234 kN
0.75 X Vc > Vux hence, OK
Check that 0.75 X Vc > Vuz where Vuz is the shear force for the critical load cases at a distance deff from the face of the
column caused by bending about the Z axis.
Design for Flexure about Z Axis
(For Reinforcement Parallel to X Axis)
Calculate the flexural reinforcement along the X direction of the footing. Find the area of steel required, A, as per Section 3.8 of Reinforced Concrete Design (5th ed.) by Salmon and Wang (Ref. 1)
Critical Load Case # 44
The strength values of steel and concrete used in the formulae are in ksi
From ACI Cl.11.2.1.1, Vc =
1005.107 kN
Distance along X to design for shear, Dz = 0.708 m
From above calculations, 0.75 X Vc = 753.831 kN
Critical load case for Vuz is # 44 123.218 kN
0.75 X Vc > Vuz hence, OK
Bars parallel to X Direction are placed at bottom
Effective Depth deff= 0.442 m
Calculate reinforcement ratio for critical load case
Based on spacing reinforcement increment; provided reinforcement is
Because the number of bars is rounded up, make sure new reinforcement ratio < ρmax
Factor from ACI Cl.10.2.7.3 = 0.832
From ACI Cl. 10.3.2, = 0.03023
From ACI Cl. 10.3.3, = 0.02267
From ACI Cl. 7.12.2, = 0.00200
From Ref. 1, Eq. 3.8.4a, constant m = 16.275
Design for flexure about Z axis is performed at the face of the column
at a distance, Dx = 1.150 m
Ultimate moment, 115.039 kNm
Nominal moment capacity, Mn = 127.821 kNm
(Based on effective depth) Required =
0.00063
(Based on gross depth) x deff / Depth = 0.00056
Since ρ≤ ρmin ρmin Governs
Area of Steel Required, As = 2500.000 mm2
Selected bar Size = #16
Minimum spacing allowed (Smin) = = 150.000mm
Selected spacing (S) = 150.000mm
Smin<= S <= Smax and selected bar size < selected maximum bar size...
The reinforcement is accepted.
According to ACI 318 Clause No- 10.6.4
Max spacing for Cracking Consideration = 254.793mm
Safe for Cracking Aspect.
#16 @ 150.000mm o.c.
Required development length for bars = =0.305 m
Available development length for bars, DL=
1.100 m
Try bar size # 16 Area of one bar = 201.064 mm2
Number of bars required, Nbar = 15
Check to see if width is sufficient to accomodate bars
Design for Flexure about X axis
(For Reinforcement Parallel to Z Axis)
Calculate the flexural reinforcement along the Z direction of the footing. Find the area of steel required, A, as per Section 3.8 of Reinforced Concrete Design (5th ed.) by Salmon and Wang (Ref. 1)
Critical Load Case # 44
The strength values of steel and concrete used in the formulae are in ksi
Calculate reinforcement ratio for critical load case
Total reinforcement area, As_total = Nbar X (Area of one bar) = 3015.962 mm2
deff = D - Ccover - 0.5 X (dia. of one bar) = 0.442 m
Reinforcement ratio, = 0.00273
From ACI Cl.7.6.1, minimum req'd clear distance between bars
Cd = max (Diameter of one bar, 1.0" (25.4mm), Min. User Spacing) = 150.000mm
Bars parallel to X Direction are placed at bottom
Effective Depth deff= 0.426 m
Factor from ACI Cl.10.2.7.3 = 0.832
From ACI Cl. 10.3.2, = 0.03023
From ACI Cl. 10.3.3, = 0.02267
From ACI Cl.7.12.2, = 0.00200
From Ref. 1, Eq. 3.8.4a, constant m = 16.275
Design for flexure about X axis is performed at the face of the column
at a distance, Dz = 1.300 m
Based on spacing reinforcement increment; provided reinforcement is
Because the number of bars is rounded up, make sure new reinforcement ratio < ρmax
Check to see if width is sufficient to accomodate bars
Bending moment for uplift cases will be calculated based solely on selfweight, soil depth and surcharge loading.
As the footing size has already been determined based on all servicebility load cases, and design moment calculation is based on selfweight, soil depth and surcharge only, top reinforcement value for all pure uplift load cases will be the same.
Ultimate moment, 175.251 kNm
Nominal moment capacity, Mn = 194.723 kNm
(Based on effective depth) Required =
0.00104
(Based on gross depth) x deff / Depth = 0.00089
Since ρ≤ ρmin ρmin Governs
Area of Steel Required, As = 2800.000 mm2
Selected Bar Size = #16
Minimum spacing allowed (Smin) = 150.000mm
Selected spacing (S) = 150.000mm
Smin<= S <= Smax and selected bar size < selected maximum bar size...
The reinforcement is accepted.
According to ACI 318 Clause No- 10.6.4
Max spacing for Cracking Consideration = 254.793mm
Safe for Cracking Aspect.
#16 @ 150.000mm o.c.
Required development length for bars = 0.305 m
Available development length for bars, DL=
1.100 m
Try bar size # 16 Area of one bar = 201.064 mm2
Number of bars required, Nbar = 17
Total reinforcement area, As_total = Nbar X (Area of one bar) = 3418.090 mm2
deff = D - Ccover - 1.5 X (dia. of one bar)
=
0.426 m
Reinforcement ratio, = 0.00287
From ACI Cl.7.6.1, minimum req'd clear distance between bars
Cd = max (Diameter of one bar, 1.0" (25.4mm), Min. User Spacing) = 150.000mm
Design For Top Reinforcement Parallel to Z Axis
Calculate the flexural reinforcement for Mx. Find the area of steel required
The strength values of steel and concrete used in the formulae are in ksi
Calculate reinforcement ratio for critical load case
Factor from ACI Cl.10.2.7.3 = 0.832
From ACI Cl. 10.3.2, = 0.03023
From ACI Cl. 10.3.3, = 0.02267
From ACI Cl. 7.12.2, = 0.00200
From Ref. 1, Eq. 3.8.4a, constant m = 16.275
Design for flexure about X axis is performed at the face of the column
at a distance, Dx = 1.150 m
Ultimate moment, 113.861 kNm
Nominal moment capacity, Mn = 126.513 kNm
(Based on effective depth) Required =
0.00060
(Based on gross depth) x deff / Depth = 0.00051
Since ρ≤ ρmin ρmin Governs
Area of Steel Required, As = 2800.000 mm2
Selected bar Size = #16
Minimum spacing allowed (Smin) = 150.000mm
Selected spacing (S) = 150.000mm
Smin<= S <= Smax and selected bar size < selected maximum bar size...
Based on spacing reinforcement increment; provided reinforcement is
Design For Top Reinforcement Parallel to X Axis
First load case to be in pure uplift # 0
Calculate the flexural reinforcement for Mz. Find the area of steel required
The strength values of steel and concrete used in the formulae are in ksi
Calculate reinforcement ratio for critical load case
The reinforcement is accepted.
According to ACI 318 Clause No- 10.6.4
Max spacing for Cracking Consideration = 254.793mm
Safe for Cracking Aspect.
#16 @ 150.000mm o.c.
Factor from ACI Cl.10.2.7.3 = 0.832
From ACI Cl. 10.3.2, = 0.03023
From ACI Cl. 10.3.3, = 0.02267
From ACI Cl.7.12.2, = 0.00200
From Ref. 1, Eq. 3.8.4a, constant m = 16.275
Design for flexure about Z axis is performed at the face of the column
at a distance, Dx = 1.150 m
Ultimate moment, 101.662 kNm
Nominal moment capacity, Mn = 112.958 kNm
(Based on effective depth)Required =
0.00060
Based on spacing reinforcement increment; provided reinforcement is
Isolated Footing 88
(Based on gross depth) x deff / Depth = 0.00051
Since ρ≤ ρmin ρmin Governs
Area of Steel Required, As = 2500.000 mm2
Selected bar Size = #16
Minimum spacing allowed (Smin) = 150.000mm
Selected spacing (S) = 150.000mm
Smin<= S <= Smax and selected bar size < selected maximum bar size...
The reinforcement is accepted.
According to ACI 318 Clause No- 10.6.4
Max spacing for Cracking Consideration = 254.793mm
Safe for Cracking Aspect.
#16 @ 150.000mm o.c.
Input Values
Footing Geomtery
Column Dimensions
Pedestal
Design Type : Calculate Dimension
Footing Thickness (Ft) : 500.000mm
Footing Length - X (Fl) : 2800.000mm
Footing Width - Z (Fw) : 2500.000mm
Eccentricity along X (Oxd) : 0.000mm
Eccentricity along Z (Ozd) : 0.000mm
Column Shape : Rectangular
Column Length - X (Dcol) : 0.500m
Column Width - Z (Bcol) : 0.200m
Design Parameters
Concrete and Rebar Properties
Soil Properties
Sliding and Overturning
Design Calculations
Footing Size
Include Pedestal? No
Pedestal Shape : N/A
Pedestal Height (Ph) : N/A
Pedestal Length - X (Pl) : N/A
Pedestal Width - Z (Pw) : N/A
Unit Weight of Concrete : 25.000kN/m3
Strength of Concrete : 30.000N/mm2
Yield Strength of Steel : 415.000N/mm2
Minimum Bar Size : #16
Maximum Bar Size : #16
Pedestal Minimum Bar Size : 7
Pedestal Maximum Bar Size : 7
Minimum Bar Spacing : 150.000mm
Maximum Bar Spacing : 150.000mm
Pedestal Clear Cover (P, CL) : 50.000mm
Footing Clear Cover (F, CL) : 50.000mm
Soil Type : Drained
Unit Weight : 22.000kN/m3
Soil Bearing Capacity : 200.000kN/m2
Soil Bearing Capacity Type: Gross Bearing Capacity
Soil Surcharge : 5.000kN/m2
Depth of Soil above Footing : 2000.000mm
Cohesion : 0.000kN/m2
Coefficient of Friction : 0.500
Factor of Safety Against Sliding : 1.500
Factor of Safety Against Overturning : 1.500
------------------------------------------------------
Initial Length (Lo) = 2.800m
Initial Width (Wo) = 2.500m
Load Combination/s- Service Stress Level Load Load Soil Self
Combination Number Load Combination Title Combination
Factor Bearing Factor
Weight Factor
1 EQX 1.00 1.00 1.00
2 EQZ 1.00 1.00 1.00
3 WINDX 1.00 1.00 1.00
4 WINDZ 1.00 1.00 1.00
5 DEADLOAD 1.00 1.00 1.00
6 LIVELOAD 1.00 1.00 1.00
30 GENERATED AISC GENERAL 1 1.00 1.00 1.00
31 GENERATED AISC GENERAL 2 1.00 1.00 1.00
32 GENERATED AISC GENERAL 3 1.00 1.00 1.00
33 GENERATED AISC GENERAL 4 1.00 1.00 1.00
34 GENERATED AISC GENERAL 5 1.00 1.00 1.00
35 GENERATED AISC GENERAL 6 1.00 1.00 1.00
36 GENERATED AISC GENERAL 7 1.00 1.00 1.00
37 GENERATED AISC GENERAL 8 1.00 1.00 1.00
38 GENERATED AISC GENERAL 9 1.00 1.00 1.00
39 GENERATED AISC GENERAL 10 1.00 1.00 1.00
40 GENERATED AISC GENERAL 11 1.00 1.00 1.00
41 GENERATED AISC GENERAL 12 1.00 1.00 1.00
42 GENERATED AISC GENERAL 13 1.00 1.00 1.00
43 GENERATED AISC GENERAL 14 1.00 1.00 1.00
44 GENERATED AISC GENERAL 15 1.00 1.00 1.00
45 GENERATED AISC GENERAL 16 1.00 1.00 1.00
46 GENERATED AISC GENERAL 17 1.00 1.00 1.00
47 GENERATED AISC GENERAL 18 1.00 1.00 1.00
48 GENERATED AISC GENERAL 19 1.00 1.00 1.00
49 GENERATED AISC GENERAL 20 1.00 1.00 1.00
50 GENERATED AISC GENERAL 21 1.00 1.00 1.00
Load Combination
Number Load Combination Title
Load Combination
Factor
Soil Bearing Factor
Self Weight Factor
1 EQX 1.00 1.00 1.00
2 EQZ 1.00 1.00 1.00
3 WINDX 1.00 1.00 1.00
4 WINDZ 1.00 1.00 1.00
5 DEADLOAD 1.00 1.00 1.00
6 LIVELOAD 1.00 1.00 1.00
44 GENERATED AISC GENERAL 15 1.00 1.00 1.00
45 GENERATED AISC GENERAL 16 1.00 1.00 1.00
46 GENERATED AISC GENERAL 17 1.00 1.00 1.00
47 GENERATED AISC GENERAL 18 1.00 1.00 1.00
48 GENERATED AISC GENERAL 19 1.00 1.00 1.00
49 GENERATED AISC GENERAL 20 1.00 1.00 1.00
50 GENERATED AISC GENERAL 21 1.00 1.00 1.00
Applied Loads - Service Stress Level
LC Axial(kN)
Shear X (kN)
Shear Z (kN)
Moment X (kNm)
Moment Z(kNm)
1 -0.511 1.907 -0.800 0.000 0.000
2 -4.926 0.009 2.808 0.000 0.000
3 -67.359 82.464 -10.146 0.000 0.000
4 -115.759 -12.176 34.143 0.000 0.000
5 30.413 -1.709 -1.050 0.000 0.000
Final Footing Size
6 36.285 -7.594 0.856 0.000 0.000
30 30.413 -1.709 -1.050 0.000 0.000
31 66.698 -9.303 -0.194 0.000 0.000
32 57.627 -7.404 -0.408 0.000 0.000
33 -36.946 80.755 -11.196 0.000 0.000
34 -85.346 -13.885 33.093 0.000 0.000
35 30.055 -0.374 -1.609 0.000 0.000
36 26.965 -1.703 0.916 0.000 0.000
37 30.771 -3.044 -0.490 0.000 0.000
38 33.861 -1.715 -3.015 0.000 0.000
39 7.108 54.444 -8.017 0.000 0.000
40 -29.192 -16.536 25.199 0.000 0.000
41 57.359 -6.403 -0.827 0.000 0.000
42 55.041 -7.400 1.067 0.000 0.000
43 57.895 -8.406 0.012 0.000 0.000
44 60.213 -7.409 -1.882 0.000 0.000
45 -49.111 81.439 -10.776 0.000 0.000
46 -97.511 -13.201 33.513 0.000 0.000
47 17.890 0.310 -1.190 0.000 0.000
48 14.799 -1.019 1.336 0.000 0.000
49 18.605 -2.361 -0.070 0.000 0.000
50 21.696 -1.031 -2.595 0.000 0.000
Applied Loads - Strength Level
LC Axial(kN)
Shear X (kN)
Shear Z (kN)
Moment X (kNm)
Moment Z(kNm)
1 -0.511 1.907 -0.800 0.000 0.000
2 -4.926 0.009 2.808 0.000 0.000
3 -67.359 82.464 -10.146 0.000 0.000
4 -115.759 -12.176 34.143 0.000 0.000
5 30.413 -1.709 -1.050 0.000 0.000
6 36.285 -7.594 0.856 0.000 0.000
44 60.213 -7.409 -1.882 0.000 0.000
45 -49.111 81.439 -10.776 0.000 0.000
46 -97.511 -13.201 33.513 0.000 0.000
47 17.890 0.310 -1.190 0.000 0.000
48 14.799 -1.019 1.336 0.000 0.000
49 18.605 -2.361 -0.070 0.000 0.000
50 21.696 -1.031 -2.595 0.000 0.000
Reduction of force due to buoyancy = 0.000kN
Effect due to adhesion = 0.000kN
Area from initial length and width, Ao =Lo X Wo = 7.000m2
Min. area required from bearing pressure, Amin = P / qmax = 2.461m2
Note: Amin is an initial estimation. P = Critical Factored Axial Load(without self weight/buoyancy/soil). qmax = Respective Factored Bearing Capacity.
Pressures at Four Corners
If Au is zero, there is no uplift and no pressure adjustment is necessary. Otherwise, to account for uplift, areas of negative
pressure will be set to zero and the pressure will be redistributed to remaining corners.
Summary of Adjusted Pressures at 4 corners Four Corners
Check for stability against overturning and sliding
Length (L2) = 2.800 m Governing Load Case : # 1
Width (W2) = 2.500 m Governing Load Case : # 1
Depth (D2) = 0.500 m Governing Load Case : # 44
Depth is governed by Ultimate Load Case
(Service check is performed with footing thickness requirements from concrete check)
Area (A2) = 7.000 m2
Final Pedestal Height = 0.000 m
Final Soil Height = 2.000 m
Footing Self Weight = 87.497 kN
Soil Weight On Top Of Footing = 303.589 kN
Load Case
Pressure at corner 1
(q1)(kN/m2)
Pressure at corner 2
(q2)(kN/m2)
Pressure at corner 3
(q3)(kN/m2)
Pressure at corner 4
(q4)(kN/m2)
Area of footing in uplift (Au)
(m2)
31 71.7834 68.9356 68.8693 71.7170 0.000
39 54.8546 71.5211 68.7723 52.1058 0.000
31 71.7834 68.9356 68.8693 71.7170 0.000
31 71.7834 68.9356 68.8693 71.7170 0.000
Load Case
Pressure atcorner 1 (q1)
(kN/m2)
Pressure atcorner 2 (q2)
(kN/m2)
Pressure atcorner 3 (q3)
(kN/m2)
Pressure atcorner 4 (q4)
(kN/m2)
31 71.7834 68.9356 68.8693 71.7170
39 54.8546 71.5211 68.7723 52.1058
31 71.7834 68.9356 68.8693 71.7170
31 71.7834 68.9356 68.8693 71.7170
Critical Load Case And The Governing Factor Of Safety For Overturning And Sliding - X Direction
- Factor of safety against sliding Factor of safety against overturning
Load Case No.
Along X-Direction
Along Z-Direction Resultant
About X-Direction
About Z-Direction
1 111.427 265.805 102.763 1329.026 623.990
2 24433.567 74.906 74.906 374.531 136827.974
3 2.172 17.653 2.156 88.265 12.163
4 12.723 4.537 4.274 22.686 71.248
5 133.414 217.188 113.679 1085.941 747.117
6 30.411 269.714 30.220 1348.571 170.303
30 133.414 217.188 113.679 1085.941 747.117
31 26.459 1271.690 26.453 6358.451 148.171
32 32.631 592.738 32.581 2963.689 182.732
33 2.406 17.356 2.383 86.780 13.475
34 12.252 5.141 4.740 25.704 68.612
35 609.516 141.548 137.879 707.738 3413.288
36 132.873 247.091 117.026 1235.455 744.091
37 74.956 465.613 74.003 2328.067 419.754
38 133.950 76.186 66.224 380.928 750.122
39 3.974 26.985 3.931 134.924 22.253
40 11.986 7.865 6.576 39.326 67.119
41 37.713 291.845 37.402 1459.223 211.193
42 32.476 225.320 32.144 1126.602 181.865
43 28.759 19849.958 28.759 99249.790 161.052
44 32.785 129.081 31.776 645.404 183.598
45 2.311 17.468 2.291 87.339 12.944
46 12.426 4.895 4.554 24.474 69.585
47 715.716 186.399 180.382 931.997 4008.008
48 216.012 164.856 131.051 824.279 1209.668
49 94.086 3166.100 94.044 15830.498 526.879
50 216.831 86.168 80.077 430.841 1214.256
Critical Load Case for Sliding along X-Direction : 3
Governing Disturbing Force : 82.464kN
Governing Restoring Force : 179.114kN
Minimum Sliding Ratio for the Critical Load Case : 2.172
Critical Load Case for Overturning about X-Direction : 4
Governing Overturning Moment : 17.071kNm
Governing Resisting Moment : 387.278kNm
Minimum Overturning Ratio for the Critical Load Case : 22.686
Critical Load Case And The Governing Factor Of Safety For Overturning And Sliding - Z Direction
Shear Calculation
Punching Shear Check
Effective depth, deff, increased until 0.75XVc Punching Shear Force
Punching Shear Force, Vu = 443.829kN, Load Case # 44
Critical Load Case for Sliding along Z-Direction : 4
Governing Disturbing Force : 34.143kN
Governing Restoring Force : 154.914kN
Minimum Sliding Ratio for the Critical Load Case : 4.537
Critical Load Case for Overturning about Z-Direction : 3
Governing Overturning Moment : -41.231kNm
Governing Resisting Moment : 501.509kNm
Minimum Overturning Ratio for the Critical Load Case : 12.163
Critical Load Case And The Governing Factor Of Safety For Sliding Along Resultant Direction
Critical Load Case for Sliding along Resultant Direction :
3
Governing Disturbing Force : 83.086kN
Governing Restoring Force : 179.114kN
Minimum Sliding Ratio for the Critical Load Case : 2.156
Compression Development Length Check
Development length skipped as column reinforcement is not specified in input (Column Dimnesion Task Pane)
Total Footing Depth, D = 0.500m
Calculated Effective Depth, deff = D - Ccover - 0.5 * db = 0.442m
For rectangular column, = Bcol / Dcol = 2.500
From ACI Cl.11.11.2, bo for column= 3.168m
Equation 11-31, Vc1 = 2292.610kN
One-Way Shear Check
Along X Direction
(Shear Plane Parallel to Global X Axis)
Check that 0.75 X Vc > Vux where Vux is the shear force for the critical load cases at a distance deff from the face of the column
caused by bending about the X axis.
One-Way Shear Check
Along Z Direction
(Shear Plane Parallel to Global Z Axis)
Equation 11-32, Vc2 = 4827.732kN
Equation 11-33, Vc3 = 2547.344kN
Punching shear strength, Vc = 0.75 X minimum of (Vc1, Vc2, Vc3) = 1719.457kN
0.75 X Vc > Vu hence, OK
From ACI Cl.11.2.1.1, Vc = 1125.720kN
Distance along X to design for shear, Dx = 0.708m
From above calculations, 0.75 X Vc = 844.290 kN
Critical load case for Vux is # 44 138.037 kN
0.75 X Vc > Vux hence, OK
Check that 0.75 X Vc > Vuz where Vuz is the shear force for the critical load cases at a distance deff from the face of the
column caused by bending about the Z axis.
Design for Flexure about Z Axis
(For Reinforcement Parallel to X Axis)
Calculate the flexural reinforcement along the X direction of the footing. Find the area of steel required, A, as per Section 3.8 of Reinforced Concrete Design (5th ed.) by Salmon and Wang (Ref. 1)
Critical Load Case # 44
The strength values of steel and concrete used in the formulae are in ksi
From ACI Cl.11.2.1.1, Vc =
1005.107 kN
Distance along X to design for shear, Dz = 0.708 m
From above calculations, 0.75 X Vc = 753.831 kN
Critical load case for Vuz is # 44 124.337 kN
0.75 X Vc > Vuz hence, OK
Bars parallel to X Direction are placed at bottom
Effective Depth deff= 0.442 m
Calculate reinforcement ratio for critical load case
Based on spacing reinforcement increment; provided reinforcement is
Because the number of bars is rounded up, make sure new reinforcement ratio < ρmax
Factor from ACI Cl.10.2.7.3 = 0.832
From ACI Cl. 10.3.2, = 0.03023
From ACI Cl. 10.3.3, = 0.02267
From ACI Cl. 7.12.2, = 0.00200
From Ref. 1, Eq. 3.8.4a, constant m = 16.275
Design for flexure about Z axis is performed at the face of the column
at a distance, Dx = 1.150 m
Ultimate moment, 116.086 kNm
Nominal moment capacity, Mn = 128.984 kNm
(Based on effective depth) Required =
0.00064
(Based on gross depth) x deff / Depth = 0.00057
Since ρ≤ ρmin ρmin Governs
Area of Steel Required, As = 2500.000 mm2
Selected bar Size = #16
Minimum spacing allowed (Smin) = = 150.000mm
Selected spacing (S) = 150.000mm
Smin<= S <= Smax and selected bar size < selected maximum bar size...
The reinforcement is accepted.
According to ACI 318 Clause No- 10.6.4
Max spacing for Cracking Consideration = 254.793mm
Safe for Cracking Aspect.
#16 @ 150.000mm o.c.
Required development length for bars = =0.305 m
Available development length for bars, DL=
1.100 m
Try bar size # 16 Area of one bar = 201.064 mm2
Number of bars required, Nbar = 15
Check to see if width is sufficient to accomodate bars
Design for Flexure about X axis
(For Reinforcement Parallel to Z Axis)
Calculate the flexural reinforcement along the Z direction of the footing. Find the area of steel required, A, as per Section 3.8 of Reinforced Concrete Design (5th ed.) by Salmon and Wang (Ref. 1)
Critical Load Case # 44
The strength values of steel and concrete used in the formulae are in ksi
Calculate reinforcement ratio for critical load case
Total reinforcement area, As_total = Nbar X (Area of one bar) = 3015.962 mm2
deff = D - Ccover - 0.5 X (dia. of one bar) = 0.442 m
Reinforcement ratio, = 0.00273
From ACI Cl.7.6.1, minimum req'd clear distance between bars
Cd = max (Diameter of one bar, 1.0" (25.4mm), Min. User Spacing) = 150.000mm
Bars parallel to X Direction are placed at bottom
Effective Depth deff= 0.426 m
Factor from ACI Cl.10.2.7.3 = 0.832
From ACI Cl. 10.3.2, = 0.03023
From ACI Cl. 10.3.3, = 0.02267
From ACI Cl.7.12.2, = 0.00200
From Ref. 1, Eq. 3.8.4a, constant m = 16.275
Design for flexure about X axis is performed at the face of the column
at a distance, Dz = 1.300 m
Based on spacing reinforcement increment; provided reinforcement is
Because the number of bars is rounded up, make sure new reinforcement ratio < ρmax
Check to see if width is sufficient to accomodate bars
Bending moment for uplift cases will be calculated based solely on selfweight, soil depth and surcharge loading.
As the footing size has already been determined based on all servicebility load cases, and design moment calculation is based on selfweight, soil depth and surcharge only, top reinforcement value for all pure uplift load cases will be the same.
Ultimate moment, 177.597 kNm
Nominal moment capacity, Mn = 197.330 kNm
(Based on effective depth) Required =
0.00106
(Based on gross depth) x deff / Depth = 0.00090
Since ρ≤ ρmin ρmin Governs
Area of Steel Required, As = 2800.000 mm2
Selected Bar Size = #16
Minimum spacing allowed (Smin) = 150.000mm
Selected spacing (S) = 150.000mm
Smin<= S <= Smax and selected bar size < selected maximum bar size...
The reinforcement is accepted.
According to ACI 318 Clause No- 10.6.4
Max spacing for Cracking Consideration = 254.793mm
Safe for Cracking Aspect.
#16 @ 150.000mm o.c.
Required development length for bars = 0.305 m
Available development length for bars, DL=
1.100 m
Try bar size # 16 Area of one bar = 201.064 mm2
Number of bars required, Nbar = 17
Total reinforcement area, As_total = Nbar X (Area of one bar) = 3418.090 mm2
deff = D - Ccover - 1.5 X (dia. of one bar)
=
0.426 m
Reinforcement ratio, = 0.00287
From ACI Cl.7.6.1, minimum req'd clear distance between bars
Cd = max (Diameter of one bar, 1.0" (25.4mm), Min. User Spacing) = 150.000mm
Design For Top Reinforcement Parallel to Z Axis
Calculate the flexural reinforcement for Mx. Find the area of steel required
The strength values of steel and concrete used in the formulae are in ksi
Calculate reinforcement ratio for critical load case
Factor from ACI Cl.10.2.7.3 = 0.832
From ACI Cl. 10.3.2, = 0.03023
From ACI Cl. 10.3.3, = 0.02267
From ACI Cl. 7.12.2, = 0.00200
From Ref. 1, Eq. 3.8.4a, constant m = 16.275
Design for flexure about X axis is performed at the face of the column
at a distance, Dx = 1.150 m
Ultimate moment, 113.861 kNm
Nominal moment capacity, Mn = 126.513 kNm
(Based on effective depth) Required =
0.00060
(Based on gross depth) x deff / Depth = 0.00051
Since ρ≤ ρmin ρmin Governs
Area of Steel Required, As = 2800.000 mm2
Selected bar Size = #16
Minimum spacing allowed (Smin) = 150.000mm
Selected spacing (S) = 150.000mm
Smin<= S <= Smax and selected bar size < selected maximum bar size...
Based on spacing reinforcement increment; provided reinforcement is
Design For Top Reinforcement Parallel to X Axis
First load case to be in pure uplift # 0
Calculate the flexural reinforcement for Mz. Find the area of steel required
The strength values of steel and concrete used in the formulae are in ksi
Calculate reinforcement ratio for critical load case
The reinforcement is accepted.
According to ACI 318 Clause No- 10.6.4
Max spacing for Cracking Consideration = 254.793mm
Safe for Cracking Aspect.
#16 @ 150.000mm o.c.
Factor from ACI Cl.10.2.7.3 = 0.832
From ACI Cl. 10.3.2, = 0.03023
From ACI Cl. 10.3.3, = 0.02267
From ACI Cl.7.12.2, = 0.00200
From Ref. 1, Eq. 3.8.4a, constant m = 16.275
Design for flexure about Z axis is performed at the face of the column
at a distance, Dx = 1.150 m
Ultimate moment, 101.662 kNm
Nominal moment capacity, Mn = 112.958 kNm
(Based on effective depth)Required =
0.00060
Based on spacing reinforcement increment; provided reinforcement is
Isolated Footing 91
(Based on gross depth) x deff / Depth = 0.00051
Since ρ≤ ρmin ρmin Governs
Area of Steel Required, As = 2500.000 mm2
Selected bar Size = #16
Minimum spacing allowed (Smin) = 150.000mm
Selected spacing (S) = 150.000mm
Smin<= S <= Smax and selected bar size < selected maximum bar size...
The reinforcement is accepted.
According to ACI 318 Clause No- 10.6.4
Max spacing for Cracking Consideration = 254.793mm
Safe for Cracking Aspect.
#16 @ 150.000mm o.c.
Input Values
Footing Geomtery
Column Dimensions
Pedestal
Design Type : Calculate Dimension
Footing Thickness (Ft) : 500.000mm
Footing Length - X (Fl) : 2800.000mm
Footing Width - Z (Fw) : 2500.000mm
Eccentricity along X (Oxd) : 0.000mm
Eccentricity along Z (Ozd) : 0.000mm
Column Shape : Rectangular
Column Length - X (Dcol) : 0.500m
Column Width - Z (Bcol) : 0.200m
Design Parameters
Concrete and Rebar Properties
Soil Properties
Sliding and Overturning
Design Calculations
Footing Size
Include Pedestal? No
Pedestal Shape : N/A
Pedestal Height (Ph) : N/A
Pedestal Length - X (Pl) : N/A
Pedestal Width - Z (Pw) : N/A
Unit Weight of Concrete : 25.000kN/m3
Strength of Concrete : 30.000N/mm2
Yield Strength of Steel : 415.000N/mm2
Minimum Bar Size : #16
Maximum Bar Size : #16
Pedestal Minimum Bar Size : 7
Pedestal Maximum Bar Size : 7
Minimum Bar Spacing : 150.000mm
Maximum Bar Spacing : 150.000mm
Pedestal Clear Cover (P, CL) : 50.000mm
Footing Clear Cover (F, CL) : 50.000mm
Soil Type : Drained
Unit Weight : 22.000kN/m3
Soil Bearing Capacity : 200.000kN/m2
Soil Bearing Capacity Type: Gross Bearing Capacity
Soil Surcharge : 5.000kN/m2
Depth of Soil above Footing : 2000.000mm
Cohesion : 0.000kN/m2
Coefficient of Friction : 0.500
Factor of Safety Against Sliding : 1.500
Factor of Safety Against Overturning : 1.500
------------------------------------------------------
Initial Length (Lo) = 2.800m
Initial Width (Wo) = 2.500m
Load Combination/s- Service Stress Level Load Load Soil Self
Combination Number Load Combination Title Combination
Factor Bearing Factor
Weight Factor
1 EQX 1.00 1.00 1.00
2 EQZ 1.00 1.00 1.00
3 WINDX 1.00 1.00 1.00
4 WINDZ 1.00 1.00 1.00
5 DEADLOAD 1.00 1.00 1.00
6 LIVELOAD 1.00 1.00 1.00
30 GENERATED AISC GENERAL 1 1.00 1.00 1.00
31 GENERATED AISC GENERAL 2 1.00 1.00 1.00
32 GENERATED AISC GENERAL 3 1.00 1.00 1.00
33 GENERATED AISC GENERAL 4 1.00 1.00 1.00
34 GENERATED AISC GENERAL 5 1.00 1.00 1.00
35 GENERATED AISC GENERAL 6 1.00 1.00 1.00
36 GENERATED AISC GENERAL 7 1.00 1.00 1.00
37 GENERATED AISC GENERAL 8 1.00 1.00 1.00
38 GENERATED AISC GENERAL 9 1.00 1.00 1.00
39 GENERATED AISC GENERAL 10 1.00 1.00 1.00
40 GENERATED AISC GENERAL 11 1.00 1.00 1.00
41 GENERATED AISC GENERAL 12 1.00 1.00 1.00
42 GENERATED AISC GENERAL 13 1.00 1.00 1.00
43 GENERATED AISC GENERAL 14 1.00 1.00 1.00
44 GENERATED AISC GENERAL 15 1.00 1.00 1.00
45 GENERATED AISC GENERAL 16 1.00 1.00 1.00
46 GENERATED AISC GENERAL 17 1.00 1.00 1.00
47 GENERATED AISC GENERAL 18 1.00 1.00 1.00
48 GENERATED AISC GENERAL 19 1.00 1.00 1.00
49 GENERATED AISC GENERAL 20 1.00 1.00 1.00
50 GENERATED AISC GENERAL 21 1.00 1.00 1.00
Load Combination
Number Load Combination Title
Load Combination
Factor
Soil Bearing Factor
Self Weight Factor
1 EQX 1.00 1.00 1.00
2 EQZ 1.00 1.00 1.00
3 WINDX 1.00 1.00 1.00
4 WINDZ 1.00 1.00 1.00
5 DEADLOAD 1.00 1.00 1.00
6 LIVELOAD 1.00 1.00 1.00
44 GENERATED AISC GENERAL 15 1.00 1.00 1.00
45 GENERATED AISC GENERAL 16 1.00 1.00 1.00
46 GENERATED AISC GENERAL 17 1.00 1.00 1.00
47 GENERATED AISC GENERAL 18 1.00 1.00 1.00
48 GENERATED AISC GENERAL 19 1.00 1.00 1.00
49 GENERATED AISC GENERAL 20 1.00 1.00 1.00
50 GENERATED AISC GENERAL 21 1.00 1.00 1.00
Applied Loads - Service Stress Level
LC Axial(kN)
Shear X (kN)
Shear Z (kN)
Moment X (kNm)
Moment Z(kNm)
1 0.204 1.870 0.955 0.000 0.000
2 -5.264 -0.099 2.470 0.000 0.000
3 -60.593 31.929 28.245 0.000 0.000
4 -109.474 10.518 32.147 0.000 0.000
5 26.808 1.805 -0.108 0.000 0.000
Final Footing Size
6 35.767 7.948 2.608 0.000 0.000
30 26.808 1.805 -0.108 0.000 0.000
31 62.575 9.753 2.500 0.000 0.000
32 53.633 7.766 1.848 0.000 0.000
33 -33.785 33.734 28.136 0.000 0.000
34 -82.666 12.323 32.039 0.000 0.000
35 26.951 3.114 0.560 0.000 0.000
36 23.123 1.735 1.621 0.000 0.000
37 26.665 0.496 -0.777 0.000 0.000
38 30.492 1.874 -1.838 0.000 0.000
39 8.188 31.712 23.031 0.000 0.000
40 -28.472 15.654 25.958 0.000 0.000
41 53.740 8.748 2.349 0.000 0.000
42 50.870 7.714 3.145 0.000 0.000
43 53.526 6.784 1.346 0.000 0.000
44 56.396 7.818 0.551 0.000 0.000
45 -44.508 33.012 28.180 0.000 0.000
46 -93.389 11.601 32.082 0.000 0.000
47 16.227 2.392 0.604 0.000 0.000
48 12.400 1.013 1.664 0.000 0.000
49 15.942 -0.226 -0.734 0.000 0.000
50 19.769 1.153 -1.794 0.000 0.000
Applied Loads - Strength Level
LC Axial(kN)
Shear X (kN)
Shear Z (kN)
Moment X (kNm)
Moment Z(kNm)
1 0.204 1.870 0.955 0.000 0.000
2 -5.264 -0.099 2.470 0.000 0.000
3 -60.593 31.929 28.245 0.000 0.000
4 -109.474 10.518 32.147 0.000 0.000
5 26.808 1.805 -0.108 0.000 0.000
6 35.767 7.948 2.608 0.000 0.000
44 56.396 7.818 0.551 0.000 0.000
45 -44.508 33.012 28.180 0.000 0.000
46 -93.389 11.601 32.082 0.000 0.000
47 16.227 2.392 0.604 0.000 0.000
48 12.400 1.013 1.664 0.000 0.000
49 15.942 -0.226 -0.734 0.000 0.000
50 19.769 1.153 -1.794 0.000 0.000
Reduction of force due to buoyancy = 0.000kN
Effect due to adhesion = 0.000kN
Area from initial length and width, Ao =Lo X Wo = 7.000m2
Min. area required from bearing pressure, Amin = P / qmax = 2.441m2
Note: Amin is an initial estimation. P = Critical Factored Axial Load(without self weight/buoyancy/soil). qmax = Respective Factored Bearing Capacity.
Pressures at Four Corners
If Au is zero, there is no uplift and no pressure adjustment is necessary. Otherwise, to account for uplift, areas of negative
pressure will be set to zero and the pressure will be redistributed to remaining corners.
Summary of Adjusted Pressures at 4 corners Four Corners
Check for stability against overturning and sliding
Length (L2) = 2.800 m Governing Load Case : # 1
Width (W2) = 2.500 m Governing Load Case : # 1
Depth (D2) = 0.500 m Governing Load Case : # 44
Depth is governed by Ultimate Load Case
(Service check is performed with footing thickness requirements from concrete check)
Area (A2) = 7.000 m2
Final Pedestal Height = 0.000 m
Final Soil Height = 2.000 m
Footing Self Weight = 87.497 kN
Soil Weight On Top Of Footing = 303.589 kN
Load Case
Pressure at corner 1
(q1)(kN/m2)
Pressure at corner 2
(q2)(kN/m2)
Pressure at corner 3
(q3)(kN/m2)
Pressure at corner 4
(q4)(kN/m2)
Area of footing in uplift (Au)
(m2)
31 67.8159 70.8015 71.6586 68.6730 0.000
31 67.8159 70.8015 71.6586 68.6730 0.000
31 67.8159 70.8015 71.6586 68.6730 0.000
31 67.8159 70.8015 71.6586 68.6730 0.000
Load Case
Pressure atcorner 1 (q1)
(kN/m2)
Pressure atcorner 2 (q2)
(kN/m2)
Pressure atcorner 3 (q3)
(kN/m2)
Pressure atcorner 4 (q4)
(kN/m2)
31 67.8159 70.8015 71.6586 68.6730
31 67.8159 70.8015 71.6586 68.6730
31 67.8159 70.8015 71.6586 68.6730
31 67.8159 70.8015 71.6586 68.6730
Critical Load Case And The Governing Factor Of Safety For Overturning And Sliding - X Direction
- Factor of safety against sliding Factor of safety against overturning
Load Case No.
Along X-Direction
Along Z-Direction Resultant
About X-Direction
About Z-Direction
1 113.850 222.841 101.384 1114.205 637.558
2 2115.198 85.074 85.005 425.371 11845.111
3 5.716 6.461 4.281 32.307 32.008
4 15.028 4.917 4.673 24.583 84.155
5 125.321 2085.553 125.095 10427.764 701.798
6 29.023 88.438 27.576 442.190 162.529
30 125.321 2085.553 125.095 10427.764 701.798
31 25.026 97.637 24.243 488.183 140.147
32 30.854 129.673 30.016 648.365 172.781
33 5.807 6.963 4.460 34.813 32.521
34 13.914 5.352 4.995 26.758 77.920
35 72.664 403.836 71.515 2019.179 406.916
36 129.282 138.425 94.483 692.123 723.980
37 455.932 290.943 245.261 1454.715 2553.220
38 121.654 124.090 86.871 620.451 681.263
39 6.839 9.417 5.534 47.085 38.299
40 12.684 7.649 6.550 38.246 71.030
41 27.397 102.012 26.460 510.059 153.425
42 30.883 75.755 28.598 378.774 172.947
43 35.311 177.946 34.635 889.728 197.740
44 30.825 437.469 30.748 2187.345 172.618
45 5.772 6.762 4.390 33.808 32.323
46 14.318 5.177 4.869 25.886 80.181
47 92.355 365.933 89.547 1829.663 517.186
48 216.095 131.594 112.394 657.971 1210.130
49 976.779 300.837 287.510 1504.186 5469.961
50 193.210 124.102 104.418 620.512 1081.978
Critical Load Case for Sliding along X-Direction : 3
Governing Disturbing Force : 31.929kN
Governing Restoring Force : 182.497kN
Minimum Sliding Ratio for the Critical Load Case : 5.716
Critical Load Case for Overturning about X-Direction : 4
Governing Overturning Moment : 16.073kNm
Governing Resisting Moment : 395.133kNm
Minimum Overturning Ratio for the Critical Load Case : 24.583
Critical Load Case And The Governing Factor Of Safety For Overturning And Sliding - Z Direction
Shear Calculation
Punching Shear Check
Effective depth, deff, increased until 0.75XVc Punching Shear Force
Punching Shear Force, Vu = 440.342kN, Load Case # 44
Critical Load Case for Sliding along Z-Direction : 4
Governing Disturbing Force : 32.147kN
Governing Restoring Force : 158.056kN
Minimum Sliding Ratio for the Critical Load Case : 4.917
Critical Load Case for Overturning about Z-Direction : 3
Governing Overturning Moment : -15.964kNm
Governing Resisting Moment : 510.981kNm
Minimum Overturning Ratio for the Critical Load Case : 32.008
Critical Load Case And The Governing Factor Of Safety For Sliding Along Resultant Direction
Critical Load Case for Sliding along Resultant Direction :
3
Governing Disturbing Force : 42.629kN
Governing Restoring Force : 182.497kN
Minimum Sliding Ratio for the Critical Load Case : 4.281
Compression Development Length Check
Development length skipped as column reinforcement is not specified in input (Column Dimnesion Task Pane)
Total Footing Depth, D = 0.500m
Calculated Effective Depth, deff = D - Ccover - 0.5 * db = 0.442m
For rectangular column, = Bcol / Dcol = 2.500
From ACI Cl.11.11.2, bo for column= 3.168m
Equation 11-31, Vc1 = 2292.610kN
One-Way Shear Check
Along X Direction
(Shear Plane Parallel to Global X Axis)
Check that 0.75 X Vc > Vux where Vux is the shear force for the critical load cases at a distance deff from the face of the column
caused by bending about the X axis.
One-Way Shear Check
Along Z Direction
(Shear Plane Parallel to Global Z Axis)
Equation 11-32, Vc2 = 4827.732kN
Equation 11-33, Vc3 = 2547.344kN
Punching shear strength, Vc = 0.75 X minimum of (Vc1, Vc2, Vc3) = 1719.457kN
0.75 X Vc > Vu hence, OK
From ACI Cl.11.2.1.1, Vc = 1125.720kN
Distance along X to design for shear, Dx = 0.708m
From above calculations, 0.75 X Vc = 844.290 kN
Critical load case for Vux is # 44 136.632 kN
0.75 X Vc > Vux hence, OK
Check that 0.75 X Vc > Vuz where Vuz is the shear force for the critical load cases at a distance deff from the face of the
column caused by bending about the Z axis.
Design for Flexure about Z Axis
(For Reinforcement Parallel to X Axis)
Calculate the flexural reinforcement along the X direction of the footing. Find the area of steel required, A, as per Section 3.8 of Reinforced Concrete Design (5th ed.) by Salmon and Wang (Ref. 1)
Critical Load Case # 44
The strength values of steel and concrete used in the formulae are in ksi
From ACI Cl.11.2.1.1, Vc =
1005.107 kN
Distance along X to design for shear, Dz = 0.708 m
From above calculations, 0.75 X Vc = 753.831 kN
Critical load case for Vuz is # 44 123.455 kN
0.75 X Vc > Vuz hence, OK
Bars parallel to X Direction are placed at bottom
Effective Depth deff= 0.442 m
Calculate reinforcement ratio for critical load case
Based on spacing reinforcement increment; provided reinforcement is
Because the number of bars is rounded up, make sure new reinforcement ratio < ρmax
Factor from ACI Cl.10.2.7.3 = 0.832
From ACI Cl. 10.3.2, = 0.03023
From ACI Cl. 10.3.3, = 0.02267
From ACI Cl. 7.12.2, = 0.00200
From Ref. 1, Eq. 3.8.4a, constant m = 16.275
Design for flexure about Z axis is performed at the face of the column
at a distance, Dx = 1.150 m
Ultimate moment, 115.261 kNm
Nominal moment capacity, Mn = 128.068 kNm
(Based on effective depth) Required =
0.00064
(Based on gross depth) x deff / Depth = 0.00056
Since ρ≤ ρmin ρmin Governs
Area of Steel Required, As = 2500.000 mm2
Selected bar Size = #16
Minimum spacing allowed (Smin) = = 150.000mm
Selected spacing (S) = 150.000mm
Smin<= S <= Smax and selected bar size < selected maximum bar size...
The reinforcement is accepted.
According to ACI 318 Clause No- 10.6.4
Max spacing for Cracking Consideration = 254.793mm
Safe for Cracking Aspect.
#16 @ 150.000mm o.c.
Required development length for bars = =0.305 m
Available development length for bars, DL=
1.100 m
Try bar size # 16 Area of one bar = 201.064 mm2
Number of bars required, Nbar = 15
Check to see if width is sufficient to accomodate bars
Design for Flexure about X axis
(For Reinforcement Parallel to Z Axis)
Calculate the flexural reinforcement along the Z direction of the footing. Find the area of steel required, A, as per Section 3.8 of Reinforced Concrete Design (5th ed.) by Salmon and Wang (Ref. 1)
Critical Load Case # 44
The strength values of steel and concrete used in the formulae are in ksi
Calculate reinforcement ratio for critical load case
Total reinforcement area, As_total = Nbar X (Area of one bar) = 3015.962 mm2
deff = D - Ccover - 0.5 X (dia. of one bar) = 0.442 m
Reinforcement ratio, = 0.00273
From ACI Cl.7.6.1, minimum req'd clear distance between bars
Cd = max (Diameter of one bar, 1.0" (25.4mm), Min. User Spacing) = 150.000mm
Bars parallel to X Direction are placed at bottom
Effective Depth deff= 0.426 m
Factor from ACI Cl.10.2.7.3 = 0.832
From ACI Cl. 10.3.2, = 0.03023
From ACI Cl. 10.3.3, = 0.02267
From ACI Cl.7.12.2, = 0.00200
From Ref. 1, Eq. 3.8.4a, constant m = 16.275
Design for flexure about X axis is performed at the face of the column
at a distance, Dz = 1.300 m
Based on spacing reinforcement increment; provided reinforcement is
Because the number of bars is rounded up, make sure new reinforcement ratio < ρmax
Check to see if width is sufficient to accomodate bars
Bending moment for uplift cases will be calculated based solely on selfweight, soil depth and surcharge loading.
As the footing size has already been determined based on all servicebility load cases, and design moment calculation is based on selfweight, soil depth and surcharge only, top reinforcement value for all pure uplift load cases will be the same.
Ultimate moment, 175.525 kNm
Nominal moment capacity, Mn = 195.028 kNm
(Based on effective depth) Required =
0.00104
(Based on gross depth) x deff / Depth = 0.00089
Since ρ≤ ρmin ρmin Governs
Area of Steel Required, As = 2800.000 mm2
Selected Bar Size = #16
Minimum spacing allowed (Smin) = 150.000mm
Selected spacing (S) = 150.000mm
Smin<= S <= Smax and selected bar size < selected maximum bar size...
The reinforcement is accepted.
According to ACI 318 Clause No- 10.6.4
Max spacing for Cracking Consideration = 254.793mm
Safe for Cracking Aspect.
#16 @ 150.000mm o.c.
Required development length for bars = 0.305 m
Available development length for bars, DL=
1.100 m
Try bar size # 16 Area of one bar = 201.064 mm2
Number of bars required, Nbar = 17
Total reinforcement area, As_total = Nbar X (Area of one bar) = 3418.090 mm2
deff = D - Ccover - 1.5 X (dia. of one bar)
=
0.426 m
Reinforcement ratio, = 0.00287
From ACI Cl.7.6.1, minimum req'd clear distance between bars
Cd = max (Diameter of one bar, 1.0" (25.4mm), Min. User Spacing) = 150.000mm
Design For Top Reinforcement Parallel to Z Axis
Calculate the flexural reinforcement for Mx. Find the area of steel required
The strength values of steel and concrete used in the formulae are in ksi
Calculate reinforcement ratio for critical load case
Factor from ACI Cl.10.2.7.3 = 0.832
From ACI Cl. 10.3.2, = 0.03023
From ACI Cl. 10.3.3, = 0.02267
From ACI Cl. 7.12.2, = 0.00200
From Ref. 1, Eq. 3.8.4a, constant m = 16.275
Design for flexure about X axis is performed at the face of the column
at a distance, Dx = 1.150 m
Ultimate moment, 113.861 kNm
Nominal moment capacity, Mn = 126.513 kNm
(Based on effective depth) Required =
0.00060
(Based on gross depth) x deff / Depth = 0.00051
Since ρ≤ ρmin ρmin Governs
Area of Steel Required, As = 2800.000 mm2
Selected bar Size = #16
Minimum spacing allowed (Smin) = 150.000mm
Selected spacing (S) = 150.000mm
Smin<= S <= Smax and selected bar size < selected maximum bar size...
Based on spacing reinforcement increment; provided reinforcement is
Design For Top Reinforcement Parallel to X Axis
First load case to be in pure uplift # 0
Calculate the flexural reinforcement for Mz. Find the area of steel required
The strength values of steel and concrete used in the formulae are in ksi
Calculate reinforcement ratio for critical load case
The reinforcement is accepted.
According to ACI 318 Clause No- 10.6.4
Max spacing for Cracking Consideration = 254.793mm
Safe for Cracking Aspect.
#16 @ 150.000mm o.c.
Factor from ACI Cl.10.2.7.3 = 0.832
From ACI Cl. 10.3.2, = 0.03023
From ACI Cl. 10.3.3, = 0.02267
From ACI Cl.7.12.2, = 0.00200
From Ref. 1, Eq. 3.8.4a, constant m = 16.275
Design for flexure about Z axis is performed at the face of the column
at a distance, Dx = 1.150 m
Ultimate moment, 101.662 kNm
Nominal moment capacity, Mn = 112.958 kNm
(Based on effective depth)Required =
0.00060
Based on spacing reinforcement increment; provided reinforcement is
(Based on gross depth) x deff / Depth = 0.00051
Since ρ≤ ρmin ρmin Governs
Area of Steel Required, As = 2500.000 mm2
Selected bar Size = #16
Minimum spacing allowed (Smin) = 150.000mm
Selected spacing (S) = 150.000mm
Smin<= S <= Smax and selected bar size < selected maximum bar size...
The reinforcement is accepted.
According to ACI 318 Clause No- 10.6.4
Max spacing for Cracking Consideration = 254.793mm
Safe for Cracking Aspect.
#16 @ 150.000mm o.c.
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