Safe Bearing Capacity given Depth and Width of Footing Calculator

✖Cohesion of Soil is the ability of like particles within soil to hold onto each other. It is the shear strength or force that binds together like particles in the structure of a soil.ⓘ Cohesion of Soil [C_s]			+10% -10%
✖Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil.ⓘ Bearing Capacity Factor dependent on Cohesion [N_c]			+10% -10%
✖Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.ⓘ Unit Weight of Soil [γ]			+10% -10%
✖Depth of Footing is the longer dimension of the footing.ⓘ Depth of Footing [D]			+10% -10%
✖Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.ⓘ Bearing Capacity Factor dependent on Surcharge [N_q]			+10% -10%
✖Width of Footing is the shorter dimension of the footing.ⓘ Width of Footing [B]			+10% -10%
✖Bearing Capacity Factor dependent on Unit Weight is a constant whose value depends upon unit weight of soil.ⓘ Bearing Capacity Factor dependent on Unit Weight [N_γ]			+10% -10%
✖Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.ⓘ Factor of Safety [f_s]			+10% -10%

✖Safe Bearing Capacity is the maximum pressure which the soil can carry safely without risk of shear failure.ⓘ Safe Bearing Capacity given Depth and Width of Footing [q_sa]

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Safe Bearing Capacity given Depth and Width of Footing Solution

STEP 0: Pre-Calculation Summary

Formula Used

Safe Bearing Capacity = (((Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+((Unit Weight of Soil*Depth of Footing)*(Bearing Capacity Factor dependent on Surcharge-1))+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight))/Factor of Safety)+(Unit Weight of Soil*Depth of Footing)
q_sa = (((C_s*N_c)+((γ*D)*(N_q-1))+(0.5*γ*B*N_γ))/f_s)+(γ*D)
This formula uses 9 Variables

Variables Used

Safe Bearing Capacity - (Measured in Pascal) - Safe Bearing Capacity is the maximum pressure which the soil can carry safely without risk of shear failure.
Cohesion of Soil - (Measured in Pascal) - Cohesion of Soil is the ability of like particles within soil to hold onto each other. It is the shear strength or force that binds together like particles in the structure of a soil.
Bearing Capacity Factor dependent on Cohesion - Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil.
Unit Weight of Soil - (Measured in Newton per Cubic Meter) - Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.
Depth of Footing - (Measured in Meter) - Depth of Footing is the longer dimension of the footing.
Bearing Capacity Factor dependent on Surcharge - Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.
Width of Footing - (Measured in Meter) - Width of Footing is the shorter dimension of the footing.
Bearing Capacity Factor dependent on Unit Weight - Bearing Capacity Factor dependent on Unit Weight is a constant whose value depends upon unit weight of soil.
Factor of Safety - Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.

STEP 1: Convert Input(s) to Base Unit

Cohesion of Soil: 5 Kilopascal --> 5000 Pascal (Check conversion here)
Bearing Capacity Factor dependent on Cohesion: 9 --> No Conversion Required
Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18000 Newton per Cubic Meter (Check conversion here)
Depth of Footing: 1.01 Meter --> 1.01 Meter No Conversion Required
Bearing Capacity Factor dependent on Surcharge: 2.01 --> No Conversion Required
Width of Footing: 2 Meter --> 2 Meter No Conversion Required
Bearing Capacity Factor dependent on Unit Weight: 1.6 --> No Conversion Required
Factor of Safety: 2.8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q_sa = (((C_s*N_c)+((γ*D)*(N_q-1))+(0.5*γ*B*N_γ))/f_s)+(γ*D) --> (((5000*9)+((18000*1.01)*(2.01-1))+(0.5*18000*2*1.6))/2.8)+(18000*1.01)

Evaluating ... ...

q_sa = 51094.9285714286

STEP 3: Convert Result to Output's Unit

51094.9285714286 Pascal -->51.0949285714286 Kilonewton per Square Meter (Check conversion here)

FINAL ANSWER

51.0949285714286 ≈ 51.09493 Kilonewton per Square Meter <-- Safe Bearing Capacity

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Terzaghi's Analysis Shear Failure Theories » Terzaghi's Analysis in Water Table is Below the Base of Footing » Safe Bearing Capacity given Depth and Width of Footing

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< Terzaghi's Analysis in Water Table is Below the Base of Footing Calculators

Depth of Footing given Bearing Capacity Factor

LaTeX Go Depth of Footing in Soil = (Ultimate Bearing Capacity in Soil-((Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/(Unit Weight of Soil*Bearing Capacity Factor dependent on Surcharge)

Cohesion of Soil given Depth and Width of Footing

LaTeX Go Cohesion in Soil as Kilopascal = (Ultimate Bearing Capacity in Soil-((Unit Weight of Soil*Depth of Footing in Soil*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/Bearing Capacity Factor dependent on Cohesion

Ultimate Bearing Capacity given Bearing Capacity Factor

LaTeX Go Ultimate Bearing Capacity = (Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(Unit Weight of Soil*Depth of Footing*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)

Unit Weight of Soil given Depth and Width of Footing

LaTeX Go Unit Weight of Soil = (Ultimate Bearing Capacity-(Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion))/((Depth of Footing*Bearing Capacity Factor dependent on Surcharge)+(0.5*Width of Footing*Bearing Capacity Factor dependent on Unit Weight))

Safe Bearing Capacity given Depth and Width of Footing Formula

LaTeX Go

What is Bearing Capacity?

In geotechnical engineering, bearing capacity is the capacity of soil to support the loads applied to the ground. The bearing capacity of soil is the maximum average contact pressure between the foundation and the soil which should not produce shear failure in the soil.

How to Calculate Safe Bearing Capacity given Depth and Width of Footing?

Safe Bearing Capacity given Depth and Width of Footing calculator uses Safe Bearing Capacity = (((Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+((Unit Weight of Soil*Depth of Footing)*(Bearing Capacity Factor dependent on Surcharge-1))+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight))/Factor of Safety)+(Unit Weight of Soil*Depth of Footing) to calculate the Safe Bearing Capacity, The Safe Bearing Capacity given Depth and Width of Footing is defined as the maximum load a soil can support per unit area without failure based on depth and width. Safe Bearing Capacity is denoted by q_sa symbol.

How to calculate Safe Bearing Capacity given Depth and Width of Footing using this online calculator? To use this online calculator for Safe Bearing Capacity given Depth and Width of Footing, enter Cohesion of Soil (C_s), Bearing Capacity Factor dependent on Cohesion (N_c), Unit Weight of Soil (γ), Depth of Footing (D), Bearing Capacity Factor dependent on Surcharge (N_q), Width of Footing (B), Bearing Capacity Factor dependent on Unit Weight (N_γ) & Factor of Safety (f_s) and hit the calculate button. Here is how the Safe Bearing Capacity given Depth and Width of Footing calculation can be explained with given input values -> 0.05103 = (((5000*9)+((18000*1.01)*(2.01-1))+(0.5*18000*2*1.6))/2.8)+(18000*1.01).

FAQ

What is Safe Bearing Capacity given Depth and Width of Footing?

The Safe Bearing Capacity given Depth and Width of Footing is defined as the maximum load a soil can support per unit area without failure based on depth and width and is represented as q_sa = (((C_s*N_c)+((γ*D)*(N_q-1))+(0.5*γ*B*N_γ))/f_s)+(γ*D) or Safe Bearing Capacity = (((Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+((Unit Weight of Soil*Depth of Footing)*(Bearing Capacity Factor dependent on Surcharge-1))+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight))/Factor of Safety)+(Unit Weight of Soil*Depth of Footing). Cohesion of Soil is the ability of like particles within soil to hold onto each other. It is the shear strength or force that binds together like particles in the structure of a soil, Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil, Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil, Depth of Footing is the longer dimension of the footing, Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge, Width of Footing is the shorter dimension of the footing, Bearing Capacity Factor dependent on Unit Weight is a constant whose value depends upon unit weight of soil & Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.

How to calculate Safe Bearing Capacity given Depth and Width of Footing?

The Safe Bearing Capacity given Depth and Width of Footing is defined as the maximum load a soil can support per unit area without failure based on depth and width is calculated using Safe Bearing Capacity = (((Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+((Unit Weight of Soil*Depth of Footing)*(Bearing Capacity Factor dependent on Surcharge-1))+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight))/Factor of Safety)+(Unit Weight of Soil*Depth of Footing). To calculate Safe Bearing Capacity given Depth and Width of Footing, you need Cohesion of Soil (C_s), Bearing Capacity Factor dependent on Cohesion (N_c), Unit Weight of Soil (γ), Depth of Footing (D), Bearing Capacity Factor dependent on Surcharge (N_q), Width of Footing (B), Bearing Capacity Factor dependent on Unit Weight (N_γ) & Factor of Safety (f_s). With our tool, you need to enter the respective value for Cohesion of Soil, Bearing Capacity Factor dependent on Cohesion, Unit Weight of Soil, Depth of Footing, Bearing Capacity Factor dependent on Surcharge, Width of Footing, Bearing Capacity Factor dependent on Unit Weight & Factor of Safety and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Safe Bearing Capacity?

In this formula, Safe Bearing Capacity uses Cohesion of Soil, Bearing Capacity Factor dependent on Cohesion, Unit Weight of Soil, Depth of Footing, Bearing Capacity Factor dependent on Surcharge, Width of Footing, Bearing Capacity Factor dependent on Unit Weight & Factor of Safety. We can use 1 other way(s) to calculate the same, which is/are as follows -

Safe Bearing Capacity = (((Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*(Bearing Capacity Factor dependent on Surcharge-1))+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight))/Factor of Safety)+Effective Surcharge in KiloPascal

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