Cohesion of Soil given Round Footing and Bearing Capacity Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
C = (qf-((σ`*Nq)+(0.5*γ*B*Nγ*0.6 )))/(1.3*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.
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.
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.
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.
Width of Footing - (Measured in Meter) - Width of Footing is the shorter dimension of the footing.
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
Ultimate Bearing Capacity: 60 Kilopascal --> 60000 Pascal (Check conversion here)
Effective Surcharge: 10 Pascal --> 10 Pascal No Conversion Required
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)
Width of Footing: 2 Meter --> 2 Meter No Conversion Required
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 = (qf-((σ`*Nq)+(0.5*γ*B*Nγ*0.6 )))/(1.3*Nc) --> (60000-((10*2.01)+(0.5*18000*2*1.6*0.6 )))/(1.3*9)
Evaluating ... ...
C = 3649.5641025641
STEP 3: Convert Result to Output's Unit
3649.5641025641 Pascal -->3.6495641025641 Kilopascal (Check conversion here)
FINAL ANSWER
3.6495641025641 3.649564 Kilopascal <-- Cohesion in Soil as Kilopascal
(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri
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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
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*0.6)
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
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*0.6)
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
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*0.6)
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)

Cohesion of Soil given Round Footing and Bearing Capacity Formula

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)
C = (qf-((σ`*Nq)+(0.5*γ*B*Nγ*0.6 )))/(1.3*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 Round Footing and Bearing Capacity?

Cohesion of Soil given Round Footing and Bearing Capacity calculator uses 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) to calculate the Cohesion in Soil as Kilopascal, The Cohesion of Soil given Round Footing and Bearing Capacity 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 Round Footing and Bearing Capacity using this online calculator? To use this online calculator for Cohesion of Soil given Round Footing and Bearing Capacity, enter Ultimate Bearing Capacity (qf), Effective Surcharge (σ`), Bearing Capacity Factor dependent on Surcharge (Nq), Unit Weight of Soil (γ), Width of Footing (B), 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 Round Footing and Bearing Capacity calculation can be explained with given input values -> 0.00365 = (60000-((10*2.01)+(0.5*18000*2*1.6*0.6 )))/(1.3*9).

FAQ

What is Cohesion of Soil given Round Footing and Bearing Capacity?
The Cohesion of Soil given Round Footing and Bearing Capacity is defined as the value of cohesion of soil when we have prior information of other parameters used and is represented as C = (qf-((σ`*Nq)+(0.5*γ*B*Nγ*0.6 )))/(1.3*Nc) or 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). 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, 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, Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil, Width of Footing is the shorter dimension of the footing, 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 Round Footing and Bearing Capacity?
The Cohesion of Soil given Round Footing and Bearing Capacity 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 = (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). To calculate Cohesion of Soil given Round Footing and Bearing Capacity, you need Ultimate Bearing Capacity (qf), Effective Surcharge (σ`), Bearing Capacity Factor dependent on Surcharge (Nq), Unit Weight of Soil (γ), Width of Footing (B), 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 Ultimate Bearing Capacity, Effective Surcharge, Bearing Capacity Factor dependent on Surcharge, Unit Weight of Soil, Width of Footing, 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.
How many ways are there to calculate Cohesion in Soil as Kilopascal?
In this formula, Cohesion in Soil as Kilopascal uses Ultimate Bearing Capacity, Effective Surcharge, Bearing Capacity Factor dependent on Surcharge, Unit Weight of Soil, Width of Footing, Bearing Capacity Factor dependent on Unit Weight & Bearing Capacity Factor dependent on Cohesion. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • 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)
  • 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)
  • 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)
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