Cohesion of Soil given Net Ultimate Bearing Capacity for General Shear Failure Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)))/(Bearing Capacity Factor dependent on Cohesion)
C = (qnu-((σs*(Nq-1))+(0.5*B*γ*Nγ)))/(Nc)
This formula uses 8 Variables
Variables Used
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.
Net Ultimate BC - (Measured in Pascal) - Net Ultimate BC is the minimum net pressure intensity causing shear failure.
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.
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 Cohesion - Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil.
STEP 1: Convert Input(s) to Base Unit
Net Ultimate BC: 87 Kilonewton per Square Meter --> 87000 Pascal (Check conversion ​here)
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
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 Cohesion: 9 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
C = (qnu-((σs*(Nq-1))+(0.5*B*γ*Nγ)))/(Nc) --> (87000-((45900*(2.01-1))+(0.5*2*18000*1.6)))/(9)
Evaluating ... ...
C = 1315.66666666667
STEP 3: Convert Result to Output's Unit
1315.66666666667 Pascal -->1.31566666666667 Kilopascal (Check conversion ​here)
FINAL ANSWER
1.31566666666667 1.315667 Kilopascal <-- Cohesion in Soil as Kilopascal
(Calculation completed in 00.008 seconds)

Credits

Creator Image
Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
Suraj Kumar has created this Calculator and 2100+ more calculators!
Verifier Image
Verified by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
Ishita Goyal has verified this Calculator and 2600+ more calculators!

General Shear Failure Calculators

Cohesion of Soil given Net Ultimate Bearing Capacity for General 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)))/(Bearing Capacity Factor dependent on Cohesion)
Bearing Capacity Factor Dependent on Cohesion for General 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)))/(Cohesion in Soil as Kilopascal)
Effective Surcharge given Net Ultimate Bearing Capacity for General Shear Failure
​ LaTeX ​ Go Effective Surcharge in KiloPascal = (Net Ultimate BC-((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 General Shear Failure
​ LaTeX ​ Go Net Ultimate BC = (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)

Cohesion of Soil given Net Ultimate Bearing Capacity for General Shear Failure Formula

​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)))/(Bearing Capacity Factor dependent on Cohesion)
C = (qnu-((σs*(Nq-1))+(0.5*B*γ*Nγ)))/(Nc)

What is Cohesion?

Cohesion is the stress (act) of sticking together. Yet, in engineering mechanics, particularly in soil mechanics, cohesion refers to shear strength under zero normal stress, or the intercept of a material's failure envelope with shear stress axis in the shear stress-normal stress space.

How to Calculate Cohesion of Soil given Net Ultimate Bearing Capacity for General Shear Failure?

Cohesion of Soil given Net Ultimate Bearing Capacity for General Shear Failure calculator uses 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)))/(Bearing Capacity Factor dependent on Cohesion) to calculate the Cohesion in Soil as Kilopascal, The Cohesion of Soil given Net Ultimate Bearing Capacity for General Shear Failure is defined as the value of cohesion of soil when we have prior information of other parameters used. Cohesion in Soil as Kilopascal is denoted by C symbol.

How to calculate Cohesion of Soil given Net Ultimate Bearing Capacity for General Shear Failure using this online calculator? To use this online calculator for Cohesion of Soil given Net Ultimate Bearing Capacity for General Shear Failure, enter Net Ultimate BC (qnu), Effective Surcharge in KiloPascal s), Bearing Capacity Factor dependent on Surcharge (Nq), Width of Footing (B), Unit Weight of Soil (γ), Bearing Capacity Factor dependent on Unit Weight (Nγ) & Bearing Capacity Factor dependent on Cohesion (Nc) and hit the calculate button. Here is how the Cohesion of Soil given Net Ultimate Bearing Capacity for General Shear Failure calculation can be explained with given input values -> 0.001367 = (87000-((45900*(2.01-1))+(0.5*2*18000*1.6)))/(9).

FAQ

What is Cohesion of Soil given Net Ultimate Bearing Capacity for General Shear Failure?
The Cohesion of Soil given Net Ultimate Bearing Capacity for General Shear Failure is defined as the value of cohesion of soil when we have prior information of other parameters used and is represented as C = (qnu-((σs*(Nq-1))+(0.5*B*γ*Nγ)))/(Nc) or 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)))/(Bearing Capacity Factor dependent on Cohesion). Net Ultimate BC is the minimum net pressure intensity causing shear failure, 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, 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 Cohesion is a constant whose value depends upon the cohesion of soil.
How to calculate Cohesion of Soil given Net Ultimate Bearing Capacity for General Shear Failure?
The Cohesion of Soil given Net Ultimate Bearing Capacity for General Shear Failure is defined as the value of cohesion of soil when we have prior information of other parameters used is calculated using 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)))/(Bearing Capacity Factor dependent on Cohesion). To calculate Cohesion of Soil given Net Ultimate Bearing Capacity for General Shear Failure, you need Net Ultimate BC (qnu), Effective Surcharge in KiloPascal s), Bearing Capacity Factor dependent on Surcharge (Nq), Width of Footing (B), Unit Weight of Soil (γ), Bearing Capacity Factor dependent on Unit Weight (Nγ) & Bearing Capacity Factor dependent on Cohesion (Nc). With our tool, you need to enter the respective value for Net Ultimate BC, Effective Surcharge in KiloPascal, Bearing Capacity Factor dependent on Surcharge, Width of Footing, Unit Weight of Soil, Bearing Capacity Factor dependent on Unit Weight & Bearing Capacity Factor dependent on Cohesion and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!