Width of Footing given Net Ultimate Bearing Capacity for Local Shear Failure Solution

STEP 0: Pre-Calculation Summary
Formula Used
Width of Footing = (Net Ultimate BC-(((2/3)*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)
B = (qnu-(((2/3)*C*Nc)+(σs*(Nq-1))))/(0.5*γ*Nγ)
This formula uses 8 Variables
Variables Used
Width of Footing - (Measured in Meter) - Width of Footing is the shorter dimension of the footing.
Net Ultimate BC - (Measured in Pascal) - Net Ultimate BC is the minimum net pressure intensity causing shear failure.
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 in KiloPascal - (Measured in Pascal) - Effective Surcharge in KiloPascal 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.
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.
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
Net Ultimate BC: 87 Kilonewton per Square Meter --> 87000 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 in KiloPascal: 45.9 Kilonewton per Square Meter --> 45900 Pascal (Check conversion ​here)
Bearing Capacity Factor dependent on Surcharge: 2.01 --> No Conversion Required
Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18000 Newton per Cubic Meter (Check conversion ​here)
Bearing Capacity Factor dependent on Unit Weight: 1.6 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
B = (qnu-(((2/3)*C*Nc)+(σs*(Nq-1))))/(0.5*γ*Nγ) --> (87000-(((2/3)*1270*9)+(45900*(2.01-1))))/(0.5*18000*1.6)
Evaluating ... ...
B = 2.293125
STEP 3: Convert Result to Output's Unit
2.293125 Meter --> No Conversion Required
FINAL ANSWER
2.293125 Meter <-- Width of Footing
(Calculation completed in 00.020 seconds)

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Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Local Shear Failure Calculators

Bearing Capacity Factor Dependent on Cohesion for Case of Local Shear Failure
​ LaTeX ​ Go Bearing Capacity Factor dependent on Cohesion = (Net Ultimate BC-((Effective Surcharge in KiloPascal*(Bearing Capacity Factor dependent on Surcharge-1))+(0.5*Width of Footing*Unit Weight of Soil*Bearing Capacity Factor dependent on Unit Weight)))/((2/3)*Cohesion in Soil as Kilopascal)
Cohesion of Soil given Net Ultimate Bearing Capacity for Local Shear Failure
​ LaTeX ​ Go Cohesion in Soil as Kilopascal = (Net Ultimate BC-((Effective Surcharge in KiloPascal*(Bearing Capacity Factor dependent on Surcharge-1))+(0.5*Width of Footing*Unit Weight of Soil*Bearing Capacity Factor dependent on Unit Weight)))/((2/3)*Bearing Capacity Factor dependent on Cohesion)
Effective Surcharge given Net Ultimate Bearing Capacity for Local Shear Failure
​ LaTeX ​ Go Effective Surcharge in KiloPascal = (Net Ultimate BC-(((2/3)*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(0.5*Width of Footing*Unit Weight of Soil*Bearing Capacity Factor dependent on Unit Weight)))/(Bearing Capacity Factor dependent on Surcharge-1)
Net Ultimate Bearing Capacity for Local Shear Failure
​ LaTeX ​ Go Net Ultimate BC = ((2/3)*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*(Bearing Capacity Factor dependent on Surcharge-1))+(0.5*Width of Footing*Unit Weight of Soil*Bearing Capacity Factor dependent on Unit Weight)

Width of Footing given Net Ultimate Bearing Capacity for Local Shear Failure Formula

​LaTeX ​Go
Width of Footing = (Net Ultimate BC-(((2/3)*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)
B = (qnu-(((2/3)*C*Nc)+(σs*(Nq-1))))/(0.5*γ*Nγ)

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 Net Ultimate Bearing Capacity for Local Shear Failure?

Width of Footing given Net Ultimate Bearing Capacity for Local Shear Failure calculator uses Width of Footing = (Net Ultimate BC-(((2/3)*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) to calculate the Width of Footing, The Width of Footing given Net Ultimate Bearing Capacity for Local Shear Failure 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 Net Ultimate Bearing Capacity for Local Shear Failure using this online calculator? To use this online calculator for Width of Footing given Net Ultimate Bearing Capacity for Local Shear Failure, enter Net Ultimate BC (qnu), Cohesion in Soil as Kilopascal (C), Bearing Capacity Factor dependent on Cohesion (Nc), Effective Surcharge in KiloPascal s), Bearing Capacity Factor dependent on Surcharge (Nq), Unit Weight of Soil (γ) & Bearing Capacity Factor dependent on Unit Weight (Nγ) and hit the calculate button. Here is how the Width of Footing given Net Ultimate Bearing Capacity for Local Shear Failure calculation can be explained with given input values -> 2.325 = (87000-(((2/3)*1270*9)+(45900*(2.01-1))))/(0.5*18000*1.6).

FAQ

What is Width of Footing given Net Ultimate Bearing Capacity for Local Shear Failure?
The Width of Footing given Net Ultimate Bearing Capacity for Local Shear Failure is defined as the value of width of footing when we have prior information of other parameters used and is represented as B = (qnu-(((2/3)*C*Nc)+(σs*(Nq-1))))/(0.5*γ*Nγ) or Width of Footing = (Net Ultimate BC-(((2/3)*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). Net Ultimate BC is the minimum net pressure intensity causing shear failure, 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 in KiloPascal 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, Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil & 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 Net Ultimate Bearing Capacity for Local Shear Failure?
The Width of Footing given Net Ultimate Bearing Capacity for Local Shear Failure is defined as the value of width of footing when we have prior information of other parameters used is calculated using Width of Footing = (Net Ultimate BC-(((2/3)*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). To calculate Width of Footing given Net Ultimate Bearing Capacity for Local Shear Failure, you need Net Ultimate BC (qnu), Cohesion in Soil as Kilopascal (C), Bearing Capacity Factor dependent on Cohesion (Nc), Effective Surcharge in KiloPascal s), Bearing Capacity Factor dependent on Surcharge (Nq), Unit Weight of Soil (γ) & Bearing Capacity Factor dependent on Unit Weight (Nγ). With our tool, you need to enter the respective value for Net Ultimate BC, Cohesion in Soil as Kilopascal, Bearing Capacity Factor dependent on Cohesion, Effective Surcharge in KiloPascal, Bearing Capacity Factor dependent on Surcharge, Unit Weight of Soil & 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.
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