Width of Footing given Strip Footing and Bearing Capacity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Width of Footing for Strip Footing = (Ultimate Bearing Capacity-((1*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*1)
Bstrip = (qf-((1*C*Nc)+(σ'*Nq)))/(0.5*Nγ*γ*1)
This formula uses 8 Variables
Variables Used
Width of Footing for Strip Footing - (Measured in Meter) - Width of Footing for Strip Footing is the shorter dimension of the strip 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
Bstrip = (qf-((1*C*Nc)+(σ'*Nq)))/(0.5*Nγ*γ*1) --> (60000-((1*4230*1.93)+(10*2.01)))/(0.5*1.6*18000*1)
Evaluating ... ...
Bstrip = 3.59833333333333
STEP 3: Convert Result to Output's Unit
3.59833333333333 Meter --> No Conversion Required
FINAL ANSWER
3.59833333333333 3.598333 Meter <-- Width of Footing for Strip Footing
(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Meerut Institute of Engineering and Technology (MIET), Meerut
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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 Strip Footing and Bearing Capacity Formula

​LaTeX ​Go
Width of Footing for Strip Footing = (Ultimate Bearing Capacity-((1*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*1)
Bstrip = (qf-((1*C*Nc)+(σ'*Nq)))/(0.5*Nγ*γ*1)

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 for Strip Footing = (Ultimate Bearing Capacity-((1*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*1) to calculate the Width of Footing for Strip Footing, The Width of Footing given Strip Footing and Bearing Capacity formula is defined as the value of width of footing when we have prior information of other parameters used for strip footing. Width of Footing for Strip Footing is denoted by Bstrip 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 (qf), Cohesion (C), Bearing Capacity Factor dependent on Cohesion (Nc), Effective Surcharge (σ'), Bearing Capacity Factor dependent on Surcharge (Nq), Bearing Capacity Factor dependent on Unit Weight (Nγ) & 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 -> 3.598333 = (60000-((1*4230*1.93)+(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 formula is defined as the value of width of footing when we have prior information of other parameters used for strip footing and is represented as Bstrip = (qf-((1*C*Nc)+(σ'*Nq)))/(0.5*Nγ*γ*1) or Width of Footing for Strip Footing = (Ultimate Bearing Capacity-((1*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*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 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 formula is defined as the value of width of footing when we have prior information of other parameters used for strip footing is calculated using Width of Footing for Strip Footing = (Ultimate Bearing Capacity-((1*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*1). To calculate Width of Footing given Strip Footing and Bearing Capacity, you need Ultimate Bearing Capacity (qf), Cohesion (C), Bearing Capacity Factor dependent on Cohesion (Nc), Effective Surcharge (σ'), Bearing Capacity Factor dependent on Surcharge (Nq), Bearing Capacity Factor dependent on Unit Weight (Nγ) & 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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