Cohesion of Soil for Purely Cohesive Soil given Depth of Footing Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cohesion of Soil = (Ultimate Bearing Capacity-((Unit Weight of Soil*Depth of Footing)*Bearing Capacity Factor dependent on Surcharge))/Bearing Capacity Factor dependent on Cohesion
Cs = (qf-((γ*D)*Nq))/Nc
This formula uses 6 Variables
Variables Used
Cohesion of Soil - (Measured in Pascal) - Cohesion of Soil 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.
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.
Depth of Footing - (Measured in Meter) - Depth of Footing is the longer dimension of the footing.
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 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)
Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18000 Newton per Cubic Meter (Check conversion here)
Depth of Footing: 1.01 Meter --> 1.01 Meter No Conversion Required
Bearing Capacity Factor dependent on Surcharge: 2.01 --> No Conversion Required
Bearing Capacity Factor dependent on Cohesion: 9 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Cs = (qf-((γ*D)*Nq))/Nc --> (60000-((18000*1.01)*2.01))/9
Evaluating ... ...
Cs = 2606.46666666667
STEP 3: Convert Result to Output's Unit
2606.46666666667 Pascal -->2.60646666666667 Kilopascal (Check conversion here)
FINAL ANSWER
2.60646666666667 2.606467 Kilopascal <-- Cohesion of Soil
(Calculation completed in 00.004 seconds)

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23 Terzaghi's Analysis: Purely Cohesive Soil Calculators

Bearing Capacity for Purely Cohesive Soil given Depth of Footing
Go Ultimate Bearing Capacity = ((Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+((Unit Weight of Soil*Depth of Footing)*Bearing Capacity Factor dependent on Surcharge))
Bearing Capacity Factor Dependent on Surcharge for Cohesive Soil given Depth of Footing
Go Bearing Capacity Factor dependent on Surcharge = (Ultimate Bearing Capacity-(Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion))/(Unit Weight of Soil*Depth of Footing)
Bearing Capacity Factor Dependent on Cohesion for Cohesive Soil given Depth of Footing
Go Bearing Capacity Factor dependent on Cohesion = (Ultimate Bearing Capacity-((Unit Weight of Soil*Depth of Footing)*Bearing Capacity Factor dependent on Surcharge))/Cohesion of Soil
Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil
Go Unit Weight of Soil = (Ultimate Bearing Capacity-(Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion))/(Depth of Footing*Bearing Capacity Factor dependent on Surcharge)
Cohesion of Soil for Purely Cohesive Soil given Depth of Footing
Go Cohesion of Soil = (Ultimate Bearing Capacity-((Unit Weight of Soil*Depth of Footing)*Bearing Capacity Factor dependent on Surcharge))/Bearing Capacity Factor dependent on Cohesion
Depth of Footing given Bearing Capacity for Purely Cohesive Soil
Go Depth of Footing = (Ultimate Bearing Capacity-(Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion))/(Unit Weight of Soil*Bearing Capacity Factor dependent on Surcharge)
Passive Earth Pressure Coefficient given Bearing Capacity Factor
Go Coefficient of Passive Pressure = ((Bearing Capacity Factor dependent on Unit Weight/(tan((Angle of Shearing Resistance))/2))+1)*(cos((Angle of Shearing Resistance)))^2
Bearing Capacity Factor Dependent on Weight given Passive Earth Pressure Coefficient
Go Bearing Capacity Factor dependent on Unit Weight = (tan((Angle of Shearing Resistance))/2)*((Coefficient of Passive Pressure/(cos(Angle of Shearing Resistance))^2)-1)
Bearing Capacity Factor Dependent on cohesion for Purely Cohesive Soil
Go Bearing Capacity Factor dependent on Cohesion = (Ultimate Bearing Capacity in Soil-((Effective Surcharge in KiloPascal)*Bearing Capacity Factor dependent on Surcharge))/Cohesion of Soil
Cohesion of Soil given Bearing Capacity for Purely Cohesive Soil
Go Cohesion of Soil = (Ultimate Bearing Capacity in Soil-(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))/Bearing Capacity Factor dependent on Cohesion
Bearing Capacity for Purely Cohesive Soil
Go Ultimate Bearing Capacity = ((Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))
Bearing Capacity Factor Dependent on Surcharge for Purely Cohesive Soil
Go Bearing Capacity Factor dependent on Surcharge = (Ultimate Bearing Capacity-(Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion))/Effective Surcharge in KiloPascal
Effective Surcharge given Bearing Capacity for Purely Cohesive Soil
Go Effective Surcharge in KiloPascal = (Ultimate Bearing Capacity-(Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion))/Bearing Capacity Factor dependent on Surcharge
Bearing Capacity Factor Dependent on Surcharge given Angle of Shearing Resistance
Go Bearing Capacity Factor dependent on Surcharge = (Bearing Capacity Factor dependent on Cohesion/cot((Angle of Shearing Resistance*pi)/180))+1
Bearing Capacity Factor Dependent on cohesion given Angle of Shearing Resistance
Go Bearing Capacity Factor dependent on Cohesion = (Bearing Capacity Factor dependent on Surcharge-1)*cot((Angle of Shearing Resistance))
Angle of Shearing Resistance given Bearing Capacity Factor
Go Angle of Shearing Resistance = acot(Bearing Capacity Factor dependent on Cohesion/(Bearing Capacity Factor dependent on Surcharge-1))
Unit Weight of Soil given Value of Bearing Capacity Factor
Go Unit Weight of Soil = (Ultimate Bearing Capacity-(Cohesion of Soil*5.7))/(Depth of Footing)
Depth of Footing given Value of Bearing Capacity Factor
Go Depth of Footing = (Ultimate Bearing Capacity-(Cohesion of Soil*5.7))/(Unit Weight of Soil)
Cohesion of Soil for Purely Cohesive Soil given Unit Weight of Soil
Go Cohesion of Soil = (Ultimate Bearing Capacity-(Unit Weight of Soil*Depth of Footing))/5.7
Bearing Capacity for Purely Cohesive Soil given Value of Bearing Capacity Factor
Go Ultimate Bearing Capacity = ((Cohesion of Soil*5.7)+(Effective Surcharge in KiloPascal))
Cohesion of Soil given Value of Bearing Capacity Factor
Go Cohesion of Soil = (Ultimate Bearing Capacity-(Effective Surcharge in KiloPascal))/5.7
Bearing Capacity for Purely Cohesive Soil given Unit Weight of Soil
Go Ultimate Bearing Capacity = (5.7*Cohesion of Soil)+Effective Surcharge in KiloPascal
Effective Surcharge given Value of Bearing Capacity Factor
Go Effective Surcharge in KiloPascal = Ultimate Bearing Capacity-(5.7*Cohesion of Soil)

Cohesion of Soil for Purely Cohesive Soil given Depth of Footing Formula

Cohesion of Soil = (Ultimate Bearing Capacity-((Unit Weight of Soil*Depth of Footing)*Bearing Capacity Factor dependent on Surcharge))/Bearing Capacity Factor dependent on Cohesion
Cs = (qf-((γ*D)*Nq))/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 for Purely Cohesive Soil given Depth of Footing?

Cohesion of Soil for Purely Cohesive Soil given Depth of Footing calculator uses Cohesion of Soil = (Ultimate Bearing Capacity-((Unit Weight of Soil*Depth of Footing)*Bearing Capacity Factor dependent on Surcharge))/Bearing Capacity Factor dependent on Cohesion to calculate the Cohesion of Soil, The Cohesion of Soil for Purely Cohesive Soil given Depth of Footing is defined as the internal molecular attraction resisting shearing forces, crucial for determining footing stability with depth. Cohesion of Soil is denoted by Cs symbol.

How to calculate Cohesion of Soil for Purely Cohesive Soil given Depth of Footing using this online calculator? To use this online calculator for Cohesion of Soil for Purely Cohesive Soil given Depth of Footing, enter Ultimate Bearing Capacity (qf), Unit Weight of Soil (γ), Depth of Footing (D), Bearing Capacity Factor dependent on Surcharge (Nq) & Bearing Capacity Factor dependent on Cohesion (Nc) and hit the calculate button. Here is how the Cohesion of Soil for Purely Cohesive Soil given Depth of Footing calculation can be explained with given input values -> 0.002627 = (60000-((18000*1.01)*2.01))/9.

FAQ

What is Cohesion of Soil for Purely Cohesive Soil given Depth of Footing?
The Cohesion of Soil for Purely Cohesive Soil given Depth of Footing is defined as the internal molecular attraction resisting shearing forces, crucial for determining footing stability with depth and is represented as Cs = (qf-((γ*D)*Nq))/Nc or Cohesion of Soil = (Ultimate Bearing Capacity-((Unit Weight of Soil*Depth of Footing)*Bearing Capacity Factor dependent on Surcharge))/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, Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil, Depth of Footing is the longer dimension of the footing, Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge & Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil.
How to calculate Cohesion of Soil for Purely Cohesive Soil given Depth of Footing?
The Cohesion of Soil for Purely Cohesive Soil given Depth of Footing is defined as the internal molecular attraction resisting shearing forces, crucial for determining footing stability with depth is calculated using Cohesion of Soil = (Ultimate Bearing Capacity-((Unit Weight of Soil*Depth of Footing)*Bearing Capacity Factor dependent on Surcharge))/Bearing Capacity Factor dependent on Cohesion. To calculate Cohesion of Soil for Purely Cohesive Soil given Depth of Footing, you need Ultimate Bearing Capacity (qf), Unit Weight of Soil (γ), Depth of Footing (D), Bearing Capacity Factor dependent on Surcharge (Nq) & Bearing Capacity Factor dependent on Cohesion (Nc). With our tool, you need to enter the respective value for Ultimate Bearing Capacity, Unit Weight of Soil, Depth of Footing, Bearing Capacity Factor dependent on Surcharge & 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 of Soil?
In this formula, Cohesion of Soil uses Ultimate Bearing Capacity, Unit Weight of Soil, Depth of Footing, Bearing Capacity Factor dependent on Surcharge & Bearing Capacity Factor dependent on Cohesion. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Cohesion of Soil = (Ultimate Bearing Capacity in Soil-(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))/Bearing Capacity Factor dependent on Cohesion
  • Cohesion of Soil = (Ultimate Bearing Capacity-(Effective Surcharge in KiloPascal))/5.7
  • Cohesion of Soil = (Ultimate Bearing Capacity-(Unit Weight of Soil*Depth of Footing))/5.7
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