Width of Footing given Strip 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 in Soil as Kilopascal 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 in Soil as Kilopascal [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 is the shorter dimension of the footing.ⓘ Width of Footing given Strip Footing and Bearing Capacity [B]

⎘ Copy

👎

Formula

✖

Width of Footing given Strip Footing and Bearing Capacity

Formula

`"B" = ("q"_{"f"}-((1 *"C"*"N"_{"c"})+("σ`"*"N"_{"q"})))/(0.5*"N"_{"γ"}*"γ"*1)`

Example

`"3.371521m"=("60kPa"-((1 *"1.27kPa"*"9")+("10.0Pa"*"2.01")))/(0.5*"1.6"*"18kN/m³"*1)`

Calculator

LaTeX

Reset

👍

Download Geotechnical Engineering Formula PDF

Width of Footing given Strip Footing and Bearing Capacity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of Footing = (Ultimate Bearing Capacity-((1 *Cohesion in Soil as Kilopascal*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*1)
B = (q_f-((1 *C*N_c)+(σ`*N_q)))/(0.5*N_γ*γ*1)
This formula uses 8 Variables

Variables Used

Width of Footing - (Measured in Meter) - Width of Footing is the shorter dimension of the 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 in Soil as Kilopascal - (Measured in Pascal) - Cohesion in Soil as Kilopascal 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 in Soil as Kilopascal: 1.27 Kilopascal --> 1270 Pascal (Check conversion here)
Bearing Capacity Factor dependent on Cohesion: 9 --> 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 = (q_f-((1 *C*N_c)+(σ`*N_q)))/(0.5*N_γ*γ*1) --> (60000-((1 *1270*9)+(10*2.01)))/(0.5*1.6*18000*1)

Evaluating ... ...

B = 3.37152083333333

STEP 3: Convert Result to Output's Unit

3.37152083333333 Meter --> No Conversion Required

FINAL ANSWER

3.37152083333333 ≈ 3.371521 Meter <-- Width of Footing

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Geotechnical Engineering » Bearing Capacity of Soil: Terzaghi's Analysis » Specialization of Terzaghi's Equations » Width of Footing given Strip Footing and Bearing Capacity

Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2200+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 23 Specialization of Terzaghi's Equations Calculators

Bearing Capacity Factor Dependent on Cohesion Depending on Shape Factors

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 in Soil as Kilopascal)

Cohesion of Soil depending on Shape Factors

Go Cohesion in Soil as Kilopascal = (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

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 in Soil as Kilopascal)

Bearing Capacity Factor Dependent on Unit Weight depending on Shape Factors

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

Unit Weight of Soil given Shape Factor

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

Shape Factor Dependent on Unit Weight

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

Width of Footing given Shape Factor

Go Width of Footing = (Ultimate Bearing Capacity-((Shape Factor dependent on Cohesion *Cohesion in Soil as Kilopascal*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*Shape Factor Dependent on Unit Weight)

Bearing Capacity depending on Shape Factors

Go Ultimate Bearing Capacity = (Shape Factor dependent on Cohesion*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(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)

Effective Surcharge given Square Footing and Bearing Capacity

Go Effective Surcharge in KiloPascal = (Ultimate Bearing Capacity-((1.3 *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*0.8 )))/Bearing Capacity Factor dependent on Surcharge

Effective Surcharge given Round Footing and Bearing Capacity

Go Effective Surcharge in KiloPascal = (Ultimate Bearing Capacity-((1.3 *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*0.6 )))/Bearing Capacity Factor dependent on Surcharge

Effective Surcharge given Strip Footing and Bearing Capacity

Go Effective Surcharge in KiloPascal = (Ultimate Bearing Capacity-((1 *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*1 )))/Bearing Capacity Factor dependent on Surcharge

Unit Weight of Soil given Square Footing and Bearing Capacity

Go Unit Weight of Soil = (Ultimate Bearing Capacity-((1.3 *Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Width of Footing*0.8)

Unit Weight of Soil given Round Footing and Bearing Capacity

Cohesion of Soil given Square Footing and Bearing Capacity

Go Cohesion in Soil as Kilopascal = (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*0.8 )))/(1.3*Bearing Capacity Factor dependent on Cohesion)

Width of Footing given Square Footing and Bearing Capacity

Go Width of Footing = (Ultimate Bearing Capacity-((1.3 *Cohesion in Soil as Kilopascal*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)

Cohesion of Soil given Round Footing and Bearing Capacity

Go Cohesion in Soil as Kilopascal = (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*0.6 )))/(1.3*Bearing Capacity Factor dependent on Cohesion)

Width of Footing given Round Footing and Bearing Capacity

Unit Weight of Soil given Strip Footing and Bearing Capacity

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

Cohesion of Soil given Strip Footing and Bearing Capacity

Go Cohesion in Soil as Kilopascal = (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*1 )))/(1*Bearing Capacity Factor dependent on Cohesion)

Width of Footing given Strip Footing and Bearing Capacity

Go Width of Footing = (Ultimate Bearing Capacity-((1 *Cohesion in Soil as Kilopascal*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*1)

Bearing Capacity for Square Footing

Go Ultimate Bearing Capacity = (1.3*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*0.8)

Bearing Capacity for Round Footing

Bearing Capacity for Strip Footing

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

Width of Footing given Strip Footing and Bearing Capacity Formula

What is Shape Factor?

Shape factor refers to a value that is affected by an object's shape but is independent of its dimensions. It may refer to one of number of values in physics, engineering, image analysis, or statistics. In physics: Shape factor, or shaping factor, a performance measure for filters such as band-pass filters.

How to Calculate Width of Footing given Strip Footing and Bearing Capacity?

Width of Footing given Strip Footing and Bearing Capacity calculator uses Width of Footing = (Ultimate Bearing Capacity-((1 *Cohesion in Soil as Kilopascal*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*1) to calculate the Width of Footing, The Width of Footing given Strip Footing and Bearing Capacity is defined as the value of width of footing when we have prior information of other parameters used. Width of Footing is denoted by B symbol.

How to calculate Width of Footing given Strip Footing and Bearing Capacity using this online calculator? To use this online calculator for Width of Footing given Strip Footing and Bearing Capacity, enter Ultimate Bearing Capacity (q_f), Cohesion in Soil as Kilopascal (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 Strip Footing and Bearing Capacity calculation can be explained with given input values -> 3.371528 = (60000-((1 *1270*9)+(10*2.01)))/(0.5*1.6*18000*1).

FAQ

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

The Width of Footing given Strip Footing and Bearing Capacity is defined as the value of width of footing when we have prior information of other parameters used and is represented as B = (q_f-((1 *C*N_c)+(σ`*N_q)))/(0.5*N_γ*γ*1) or Width of Footing = (Ultimate Bearing Capacity-((1 *Cohesion in Soil as Kilopascal*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*1). 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 in Soil as Kilopascal 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 Strip Footing and Bearing Capacity?

The Width of Footing given Strip Footing and Bearing Capacity is defined as the value of width of footing when we have prior information of other parameters used is calculated using Width of Footing = (Ultimate Bearing Capacity-((1 *Cohesion in Soil as Kilopascal*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*1). To calculate Width of Footing given Strip Footing and Bearing Capacity, you need Ultimate Bearing Capacity (q_f), Cohesion in Soil as Kilopascal (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 in Soil as Kilopascal, 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.

How many ways are there to calculate Width of Footing?

In this formula, Width of Footing uses Ultimate Bearing Capacity, Cohesion in Soil as Kilopascal, 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. We can use 3 other way(s) to calculate the same, which is/are as follows -

Width of Footing = (Ultimate Bearing Capacity-((Shape Factor dependent on Cohesion *Cohesion in Soil as Kilopascal*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*Shape Factor Dependent on Unit Weight)
Width of Footing = (Ultimate Bearing Capacity-((1.3 *Cohesion in Soil as Kilopascal*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*0.6)
Width of Footing = (Ultimate Bearing Capacity-((1.3 *Cohesion in Soil as Kilopascal*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)

Home

FREE PDFs

🔍 Search