Cohesion of Soil given Depth and Width of Footing Formula

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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. Check FAQs
C=qfc-((γDfootingNq)+(0.5γBNγ))Nc
C - Cohesion in Soil as Kilopascal?qfc - Ultimate Bearing Capacity in Soil?γ - Unit Weight of Soil?Dfooting - Depth of Footing in Soil?Nq - Bearing Capacity Factor dependent on Surcharge?B - Width of Footing?Nγ - Bearing Capacity Factor dependent on Unit Weight?Nc - Bearing Capacity Factor dependent on Cohesion?

Cohesion of Soil given Depth and Width of Footing Example

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Here is how the Cohesion of Soil given Depth and Width of Footing equation looks like with Values.

Here is how the Cohesion of Soil given Depth and Width of Footing equation looks like with Units.

Here is how the Cohesion of Soil given Depth and Width of Footing equation looks like.

0.7892Edit=127.8Edit-((18Edit2.54Edit2.01Edit)+(0.518Edit2Edit1.6Edit))9Edit
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Cohesion of Soil given Depth and Width of Footing Solution

Follow our step by step solution on how to calculate Cohesion of Soil given Depth and Width of Footing?

FIRST Step Consider the formula
C=qfc-((γDfootingNq)+(0.5γBNγ))Nc
Next Step Substitute values of Variables
C=127.8kPa-((18kN/m³2.54m2.01)+(0.518kN/m³2m1.6))9
Next Step Convert Units
C=127800Pa-((18000N/m³2.54m2.01)+(0.518000N/m³2m1.6))9
Next Step Prepare to Evaluate
C=127800-((180002.542.01)+(0.51800021.6))9
Next Step Evaluate
C=789.2Pa
LAST Step Convert to Output's Unit
C=0.7892kPa

Cohesion of Soil given Depth and Width of Footing Formula Elements

Variables
Cohesion in Soil as Kilopascal
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.
Symbol: C
Measurement: PressureUnit: kPa
Note: Value should be between 0 to 50.
Ultimate Bearing Capacity in Soil
Ultimate Bearing Capacity in Soil is defined as the minimum gross pressure intensity at the base of the foundation at which the soil fails in shear.
Symbol: qfc
Measurement: PressureUnit: kPa
Note: Value should be greater than 0.
Unit Weight of Soil
Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.
Symbol: γ
Measurement: Specific WeightUnit: kN/m³
Note: Value should be greater than 0.
Depth of Footing in Soil
Depth of Footing in Soil is the longer dimension of the footing in soil mechanics.
Symbol: Dfooting
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Bearing Capacity Factor dependent on Surcharge
Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.
Symbol: Nq
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Width of Footing
Width of Footing is the shorter dimension of the footing.
Symbol: B
Measurement: LengthUnit: m
Note: Value should be greater than 0.
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.
Symbol: Nγ
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Bearing Capacity Factor dependent on Cohesion
Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil.
Symbol: Nc
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.

Other formulas in Terzaghi's Analysis in Water Table is Below the Base of Footing category

​Go Ultimate Bearing Capacity given Bearing Capacity Factor
qf=(CsNc)+(γDNq)+(0.5γBNγ)
​Go Unit Weight of Soil given Depth and Width of Footing
γ=qf-(CsNc)(DNq)+(0.5BNγ)

How to Evaluate Cohesion of Soil given Depth and Width of Footing?

Cohesion of Soil given Depth and Width of Footing evaluator uses Cohesion in Soil as Kilopascal = (Ultimate Bearing Capacity in Soil-((Unit Weight of Soil*Depth of Footing in Soil*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/Bearing Capacity Factor dependent on Cohesion to evaluate the Cohesion in Soil as Kilopascal, The Cohesion of Soil given Depth and Width of Footing is defined as its internal strength. It influences footing stability, with depth and width affecting cohesive forces. Cohesion in Soil as Kilopascal is denoted by C symbol.

How to evaluate Cohesion of Soil given Depth and Width of Footing using this online evaluator? To use this online evaluator for Cohesion of Soil given Depth and Width of Footing, enter Ultimate Bearing Capacity in Soil (qfc), Unit Weight of Soil (γ), Depth of Footing in Soil (Dfooting), Bearing Capacity Factor dependent on Surcharge (Nq), Width of Footing (B), Bearing Capacity Factor dependent on Unit Weight (Nγ) & Bearing Capacity Factor dependent on Cohesion (Nc) and hit the calculate button.

FAQs on Cohesion of Soil given Depth and Width of Footing

What is the formula to find Cohesion of Soil given Depth and Width of Footing?
The formula of Cohesion of Soil given Depth and Width of Footing is expressed as Cohesion in Soil as Kilopascal = (Ultimate Bearing Capacity in Soil-((Unit Weight of Soil*Depth of Footing in Soil*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/Bearing Capacity Factor dependent on Cohesion. Here is an example- 0.00084 = (127800-((18000*2.54*2.01)+(0.5*18000*2*1.6)))/9.
How to calculate Cohesion of Soil given Depth and Width of Footing?
With Ultimate Bearing Capacity in Soil (qfc), Unit Weight of Soil (γ), Depth of Footing in Soil (Dfooting), Bearing Capacity Factor dependent on Surcharge (Nq), Width of Footing (B), Bearing Capacity Factor dependent on Unit Weight (Nγ) & Bearing Capacity Factor dependent on Cohesion (Nc) we can find Cohesion of Soil given Depth and Width of Footing using the formula - Cohesion in Soil as Kilopascal = (Ultimate Bearing Capacity in Soil-((Unit Weight of Soil*Depth of Footing in Soil*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/Bearing Capacity Factor dependent on Cohesion.
Can the Cohesion of Soil given Depth and Width of Footing be negative?
No, the Cohesion of Soil given Depth and Width of Footing, measured in Pressure cannot be negative.
Which unit is used to measure Cohesion of Soil given Depth and Width of Footing?
Cohesion of Soil given Depth and Width of Footing is usually measured using the Kilopascal[kPa] for Pressure. Pascal[kPa], Bar[kPa], Pound Per Square Inch[kPa] are the few other units in which Cohesion of Soil given Depth and Width of Footing can be measured.
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