Width of Footing given Factor of Safety and Safe Bearing Capacity Calculator

✖Safe Bearing Capacity is the maximum pressure which the soil can carry safely without risk of shear failure.ⓘ Safe Bearing Capacity [q_sa]			+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%
✖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%
✖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%
✖Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.ⓘ Bearing Capacity Factor dependent on Surcharge [N_q]			+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%

✖Width of Footing is the shorter dimension of the footing.ⓘ Width of Footing given Factor of Safety and Safe Bearing Capacity [B]

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Width of Footing given Factor of Safety and Safe Bearing Capacity Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Width of Footing - (Measured in Meter) - Width of Footing is the shorter dimension of the footing.
Safe Bearing Capacity - (Measured in Pascal) - Safe Bearing Capacity is the maximum pressure which the soil can carry safely without risk of shear failure.
Factor of Safety - Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.
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.
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.
Bearing Capacity Factor dependent on Surcharge - Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.
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.

STEP 1: Convert Input(s) to Base Unit

Safe Bearing Capacity: 70 Kilonewton per Square Meter --> 70000 Pascal (Check conversion here)
Factor of Safety: 2.8 --> 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
Cohesion of Soil: 5 Kilopascal --> 5000 Pascal (Check conversion here)
Bearing Capacity Factor dependent on Cohesion: 9 --> No Conversion Required
Bearing Capacity Factor dependent on Surcharge: 2.01 --> No Conversion Required
Bearing Capacity Factor dependent on Unit Weight: 1.6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B = (((q_sa*f_s)-(f_s*(γ*D)))-((C_s*N_c)+((γ*D)*(N_q-1))))/(0.5*γ*N_γ) --> (((70000*2.8)-(2.8*(18000*1.01)))-((5000*9)+((18000*1.01)*(2.01-1))))/(0.5*18000*1.6)

Evaluating ... ...

B = 5.67598611111111

STEP 3: Convert Result to Output's Unit

5.67598611111111 Meter --> No Conversion Required

FINAL ANSWER

5.67598611111111 ≈ 5.675986 Meter <-- Width of Footing

(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 » Width of Footing given Factor of Safety and Safe Bearing Capacity

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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))

Width of Footing given Factor of Safety and Safe Bearing Capacity Formula

LaTeX Go

What is Footing?

Footings are an important part of foundation construction. They are typically made of concrete with rebar reinforcement that has been poured into an excavated trench. The purpose of footings is to support the foundation and prevent settling. Footings are especially important in areas with troublesome soils.

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

Width of Footing given Factor of Safety and Safe Bearing Capacity calculator uses Width of Footing = (((Safe Bearing Capacity*Factor of Safety)-(Factor of Safety*(Unit Weight of Soil*Depth of Footing)))-((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*Bearing Capacity Factor dependent on Unit Weight) to calculate the Width of Footing, The Width of Footing given Factor of Safety and Safe Bearing Capacity is defined as the product of safe bearing capacity and factor of safety, ensuring stability and safety. Width of Footing is denoted by B symbol.

How to calculate Width of Footing given Factor of Safety and Safe Bearing Capacity using this online calculator? To use this online calculator for Width of Footing given Factor of Safety and Safe Bearing Capacity, enter Safe Bearing Capacity (q_sa), Factor of Safety (f_s), Unit Weight of Soil (γ), Depth of Footing (D), Cohesion of Soil (C_s), Bearing Capacity Factor dependent on Cohesion (N_c), Bearing Capacity Factor dependent on Surcharge (N_q) & Bearing Capacity Factor dependent on Unit Weight (N_γ) and hit the calculate button. Here is how the Width of Footing given Factor of Safety and Safe Bearing Capacity calculation can be explained with given input values -> 5.688611 = (((70000*2.8)-(2.8*(18000*1.01)))-((5000*9)+((18000*1.01)*(2.01-1))))/(0.5*18000*1.6).

FAQ

What is Width of Footing given Factor of Safety and Safe Bearing Capacity?

The Width of Footing given Factor of Safety and Safe Bearing Capacity is defined as the product of safe bearing capacity and factor of safety, ensuring stability and safety and is represented as B = (((q_sa*f_s)-(f_s*(γ*D)))-((C_s*N_c)+((γ*D)*(N_q-1))))/(0.5*γ*N_γ) or Width of Footing = (((Safe Bearing Capacity*Factor of Safety)-(Factor of Safety*(Unit Weight of Soil*Depth of Footing)))-((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*Bearing Capacity Factor dependent on Unit Weight). Safe Bearing Capacity is the maximum pressure which the soil can carry safely without risk of shear failure, Factor of Safety expresses how much stronger a system is than it needs to be for an intended load, 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, 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, Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge & Bearing Capacity Factor dependent on Unit Weight is a constant whose value depends upon unit weight of soil.

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

The Width of Footing given Factor of Safety and Safe Bearing Capacity is defined as the product of safe bearing capacity and factor of safety, ensuring stability and safety is calculated using Width of Footing = (((Safe Bearing Capacity*Factor of Safety)-(Factor of Safety*(Unit Weight of Soil*Depth of Footing)))-((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*Bearing Capacity Factor dependent on Unit Weight). To calculate Width of Footing given Factor of Safety and Safe Bearing Capacity, you need Safe Bearing Capacity (q_sa), Factor of Safety (f_s), Unit Weight of Soil (γ), Depth of Footing (D), Cohesion of Soil (C_s), Bearing Capacity Factor dependent on Cohesion (N_c), Bearing Capacity Factor dependent on Surcharge (N_q) & Bearing Capacity Factor dependent on Unit Weight (N_γ). With our tool, you need to enter the respective value for Safe Bearing Capacity, Factor of Safety, Unit Weight of Soil, Depth of Footing, Cohesion of Soil, Bearing Capacity Factor dependent on Cohesion, Bearing Capacity Factor dependent on Surcharge & Bearing Capacity Factor dependent on Unit Weight 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 Width of Footing?

In this formula, Width of Footing uses Safe Bearing Capacity, Factor of Safety, Unit Weight of Soil, Depth of Footing, Cohesion of Soil, Bearing Capacity Factor dependent on Cohesion, Bearing Capacity Factor dependent on Surcharge & Bearing Capacity Factor dependent on Unit Weight. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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