Width of Footing given Square Footing and Bearing Capacity Calculator

✖The Ultimate Bearing Capacity is defined as the minimum gross pressure intensity at the base of the foundation at which the soil fails in shear.ⓘ Ultimate Bearing Capacity [q_f]			+10% -10%
✖Cohesion 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 [C]			+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%
✖Effective Surcharge also called as surcharge load refers to the vertical pressure or any load that acts over the ground surface additional to basic earth pressure.ⓘ Effective Surcharge [σ']			+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%
✖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%

✖Width of Footing for Square Footing is the shorter dimension of the square footing.ⓘ Width of Footing given Square Footing and Bearing Capacity [B_square]

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Width of Footing given Square Footing and Bearing Capacity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of Footing for Square Footing = (Ultimate Bearing Capacity-((1.3*Cohesion*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil*0.8)
B_square = (q_f-((1.3*C*N_c)+(σ'*N_q)))/(0.5*N_γ*γ*0.8)
This formula uses 8 Variables

Variables Used

Width of Footing for Square Footing - (Measured in Meter) - Width of Footing for Square Footing is the shorter dimension of the square footing.
Ultimate Bearing Capacity - (Measured in Pascal) - The Ultimate Bearing Capacity is defined as the minimum gross pressure intensity at the base of the foundation at which the soil fails in shear.
Cohesion - (Measured in Pascal) - Cohesion 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.
Effective Surcharge - (Measured in Pascal) - Effective Surcharge also called as surcharge load refers to the vertical pressure or any load that acts over the ground surface additional to basic earth pressure.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Ultimate Bearing Capacity: 60 Kilopascal --> 60000 Pascal (Check conversion here)
Cohesion: 4.23 Kilopascal --> 4230 Pascal (Check conversion here)
Bearing Capacity Factor dependent on Cohesion: 1.93 --> No Conversion Required
Effective Surcharge: 10 Pascal --> 10 Pascal 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
Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18000 Newton per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B_square = (q_f-((1.3*C*N_c)+(σ'*N_q)))/(0.5*N_γ*γ*0.8) --> (60000-((1.3*4230*1.93)+(10*2.01)))/(0.5*1.6*18000*0.8)

Evaluating ... ...

B_square = 4.28531510416667

STEP 3: Convert Result to Output's Unit

4.28531510416667 Meter --> No Conversion Required

FINAL ANSWER

4.28531510416667 ≈ 4.285315 Meter <-- Width of Footing for Square Footing

(Calculation completed in 00.020 seconds)

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< Specialization of Terzaghi's Equations Calculators

Bearing Capacity Factor Dependent on Cohesion

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

Cohesion of Soil depending on Shape Factors

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

Shape Factor Dependent on Cohesion

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

Bearing Capacity depending on Shape Factors

LaTeX Go Bearing Capacity = (Shape Factor dependent on Cohesion*Cohesion*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge (KN/m2)*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*Shape Factor Dependent on Unit Weight)

Width of Footing given Square Footing and 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 Square Footing and Bearing Capacity?

Width of Footing given Square Footing and Bearing Capacity calculator uses Width of Footing for Square Footing = (Ultimate Bearing Capacity-((1.3*Cohesion*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil*0.8) to calculate the Width of Footing for Square Footing, The Width of Footing given Square Footing and Bearing Capacity formula is defined as the value of width of footing when we have prior information of other parameters used for square footing. Width of Footing for Square Footing is denoted by B_square symbol.

How to calculate Width of Footing given Square Footing and Bearing Capacity using this online calculator? To use this online calculator for Width of Footing given Square Footing and Bearing Capacity, enter Ultimate Bearing Capacity (q_f), Cohesion (C), Bearing Capacity Factor dependent on Cohesion (N_c), Effective Surcharge (σ'), Bearing Capacity Factor dependent on Surcharge (N_q), Bearing Capacity Factor dependent on Unit Weight (N_γ) & Unit Weight of Soil (γ) and hit the calculate button. Here is how the Width of Footing given Square Footing and Bearing Capacity calculation can be explained with given input values -> 4.285315 = (60000-((1.3*4230*1.93)+(10*2.01)))/(0.5*1.6*18000*0.8).

FAQ

What is Width of Footing given Square Footing and Bearing Capacity?

The Width of Footing given Square Footing and Bearing Capacity formula is defined as the value of width of footing when we have prior information of other parameters used for square footing and is represented as B_square = (q_f-((1.3*C*N_c)+(σ'*N_q)))/(0.5*N_γ*γ*0.8) or Width of Footing for Square Footing = (Ultimate Bearing Capacity-((1.3*Cohesion*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil*0.8). The Ultimate Bearing Capacity is defined as the minimum gross pressure intensity at the base of the foundation at which the soil fails in shear, Cohesion 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, Effective Surcharge also called as surcharge load refers to the vertical pressure or any load that acts over the ground surface additional to basic earth pressure, 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 & Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.

How to calculate Width of Footing given Square Footing and Bearing Capacity?

The Width of Footing given Square Footing and Bearing Capacity formula is defined as the value of width of footing when we have prior information of other parameters used for square footing is calculated using Width of Footing for Square Footing = (Ultimate Bearing Capacity-((1.3*Cohesion*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil*0.8). To calculate Width of Footing given Square Footing and Bearing Capacity, you need Ultimate Bearing Capacity (q_f), Cohesion (C), Bearing Capacity Factor dependent on Cohesion (N_c), Effective Surcharge (σ'), Bearing Capacity Factor dependent on Surcharge (N_q), Bearing Capacity Factor dependent on Unit Weight (N_γ) & Unit Weight of Soil (γ). With our tool, you need to enter the respective value for Ultimate Bearing Capacity, Cohesion, Bearing Capacity Factor dependent on Cohesion, Effective Surcharge, Bearing Capacity Factor dependent on Surcharge, Bearing Capacity Factor dependent on Unit Weight & Unit Weight of Soil and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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