Effective Surcharge given Net Ultimate Bearing Capacity for Local Shear Failure Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
σs = (qnu-(((2/3)*C*Nc)+(0.5*B*γ*Nγ)))/(Nq-1)
This formula uses 8 Variables
Variables Used
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.
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.
Width of Footing - (Measured in Meter) - Width of Footing is the shorter dimension of the footing.
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.
Bearing Capacity Factor dependent on Surcharge - Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.
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
Width of Footing: 2 Meter --> 2 Meter 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
Bearing Capacity Factor dependent on Surcharge: 2.01 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σs = (qnu-(((2/3)*C*Nc)+(0.5*B*γ*Nγ)))/(Nq-1) --> (87000-(((2/3)*1270*9)+(0.5*2*18000*1.6)))/(2.01-1)
Evaluating ... ...
σs = 50079.2079207921
STEP 3: Convert Result to Output's Unit
50079.2079207921 Pascal -->50.0792079207921 Kilonewton per Square Meter (Check conversion here)
FINAL ANSWER
50.0792079207921 50.07921 Kilonewton per Square Meter <-- Effective Surcharge in KiloPascal
(Calculation completed in 00.020 seconds)

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Birsa Institute of Technology (BIT), Sindri
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8 Local Shear Failure Calculators

Bearing Capacity Factor Dependent on Unit Weight for Case of Local Shear Failure
Go Bearing Capacity Factor dependent on Unit Weight = (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 Cohesion for Case of Local Shear Failure
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
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)
Width of Footing given Net Ultimate Bearing Capacity for Local Shear Failure
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)
Unit Weight of Soil under Strip Footing for Case of Local Shear Failure
Go Unit Weight of Soil = (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*Bearing Capacity Factor dependent on Unit Weight)
Effective Surcharge given Net Ultimate Bearing Capacity for Local Shear Failure
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)
Bearing Capacity Factor Dependent on Surcharge for Case of Local Shear Failure
Go Bearing Capacity Factor dependent on Surcharge = ((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)))/Effective Surcharge in KiloPascal)+1
Net Ultimate Bearing Capacity for Local Shear Failure
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)

Effective Surcharge given Net Ultimate Bearing Capacity for Local Shear Failure Formula

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)
σs = (qnu-(((2/3)*C*Nc)+(0.5*B*γ*Nγ)))/(Nq-1)

What is Effective Surcharge?

Surcharge refers to the vertical pressure or any load that acts over the ground surface. It is called as surcharge load.Constant magnitude of horizontal pressure is included with the value of basic lateral soil pressure, in presence of uniform surcharge loading.

How to Calculate Effective Surcharge given Net Ultimate Bearing Capacity for Local Shear Failure?

Effective Surcharge given Net Ultimate Bearing Capacity for Local Shear Failure calculator uses 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) to calculate the Effective Surcharge in KiloPascal, The Effective Surcharge given Net Ultimate Bearing Capacity for Local Shear Failure is defined as the value of effective surcharge when we have prior information of other parameters used. Effective Surcharge in KiloPascal is denoted by σs symbol.

How to calculate Effective Surcharge given Net Ultimate Bearing Capacity for Local Shear Failure using this online calculator? To use this online calculator for Effective Surcharge 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), Width of Footing (B), Unit Weight of Soil (γ), Bearing Capacity Factor dependent on Unit Weight (Nγ) & Bearing Capacity Factor dependent on Surcharge (Nq) and hit the calculate button. Here is how the Effective Surcharge given Net Ultimate Bearing Capacity for Local Shear Failure calculation can be explained with given input values -> 0.05058 = (87000-(((2/3)*1270*9)+(0.5*2*18000*1.6)))/(2.01-1).

FAQ

What is Effective Surcharge given Net Ultimate Bearing Capacity for Local Shear Failure?
The Effective Surcharge given Net Ultimate Bearing Capacity for Local Shear Failure is defined as the value of effective surcharge when we have prior information of other parameters used and is represented as σs = (qnu-(((2/3)*C*Nc)+(0.5*B*γ*Nγ)))/(Nq-1) or 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 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, Width of Footing is the shorter dimension of the footing, 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 & Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.
How to calculate Effective Surcharge given Net Ultimate Bearing Capacity for Local Shear Failure?
The Effective Surcharge given Net Ultimate Bearing Capacity for Local Shear Failure is defined as the value of effective surcharge when we have prior information of other parameters used is calculated using 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). To calculate Effective Surcharge 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), Width of Footing (B), Unit Weight of Soil (γ), Bearing Capacity Factor dependent on Unit Weight (Nγ) & Bearing Capacity Factor dependent on Surcharge (Nq). 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, Width of Footing, Unit Weight of Soil, Bearing Capacity Factor dependent on Unit Weight & Bearing Capacity Factor dependent on Surcharge 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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