Cohesion of Soil given Factor of Safety with respect to Cohesion Calculator

✖Stability Number is a parameter used to assess the stability of slopes, particularly in soil mechanics and geotechnical analyses.ⓘ Stability Number [S_n]			+10% -10%
✖Factor of Safety with respect to Cohesion is the ratio of material's shear strength to applied shear stress, ensuring stability against sliding.ⓘ Factor of Safety with respect to Cohesion [F_c]			+10% -10%
✖Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.ⓘ Unit Weight of Soil [γ]			+10% -10%
✖Depth at Mobilized Cohesion in Stability Number is soil layer thickness where effective cohesion is reached, impacting slope stability.ⓘ Depth at Mobilized Cohesion in Stability Number [H_Mobilised]			+10% -10%

✖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.ⓘ Cohesion of Soil given Factor of Safety with respect to Cohesion [c]

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Formula

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Cohesion of Soil given Factor of Safety with respect to Cohesion

Formula

c = (S n \cdot F c \cdot γ \cdot H Mobilised)

Example

2.74968 kPa = (2.01 \cdot 1.9 \cdot 18 kN/m³ \cdot 0.04 m)

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Cohesion of Soil given Factor of Safety with respect to Cohesion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cohesion of Soil = (Stability Number*Factor of Safety with respect to Cohesion*Unit Weight of Soil*Depth at Mobilized Cohesion in Stability Number)
c = (S_n*F_c*γ*H_Mobilised)
This formula uses 5 Variables

Variables Used

Cohesion of Soil - (Measured in Kilopascal) - 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.
Stability Number - Stability Number is a parameter used to assess the stability of slopes, particularly in soil mechanics and geotechnical analyses.
Factor of Safety with respect to Cohesion - Factor of Safety with respect to Cohesion is the ratio of material's shear strength to applied shear stress, ensuring stability against sliding.
Unit Weight of Soil - (Measured in Kilonewton per Cubic Meter) - Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.
Depth at Mobilized Cohesion in Stability Number - (Measured in Meter) - Depth at Mobilized Cohesion in Stability Number is soil layer thickness where effective cohesion is reached, impacting slope stability.

STEP 1: Convert Input(s) to Base Unit

Stability Number: 2.01 --> No Conversion Required
Factor of Safety with respect to Cohesion: 1.9 --> No Conversion Required
Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18 Kilonewton per Cubic Meter No Conversion Required
Depth at Mobilized Cohesion in Stability Number: 0.04 Meter --> 0.04 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

c = (S_n*F_c*γ*H_Mobilised) --> (2.01*1.9*18*0.04)

Evaluating ... ...

c = 2.74968

STEP 3: Convert Result to Output's Unit

2749.68 Pascal -->2.74968 Kilopascal (Check conversion here)

FINAL ANSWER

2.74968 Kilopascal <-- Cohesion of Soil

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Stability Analysis of Infinite Slopes Calculators

Normal Stress given Shear Stress of Cohesionless Soil

Go Normal Stress in Mega Pascal = Shear Stress for Factor of Safety*cot((Angle of Inclination))

Normal Stress given Shear Strength of Cohesionless Soil

Go Normal Stress in Mega Pascal = Shear Strength/tan((Angle of Internal Friction))

Shear Strength of Cohesionless Soil

Go Shear Strength = Normal Stress in Mega Pascal*tan((Angle of Internal Friction))

Angle of Internal Friction given Shear Strength of Cohesionless Soil

Go Angle of Internal Friction = atan(Shear Strength/Normal Stress in Mega Pascal)

Cohesion of Soil given Factor of Safety with respect to Cohesion Formula

Cohesion of Soil = (Stability Number*Factor of Safety with respect to Cohesion*Unit Weight of Soil*Depth at Mobilized Cohesion in Stability Number)
c = (S_n*F_c*γ*H_Mobilised)

What is Cohesive Soil?

The term "cohesive forces" is a generic term for the collective intermolecular forces (e.g., hydrogen bonding and van der Waals forces) responsible for the bulk property of liquids resisting separation.

How to Calculate Cohesion of Soil given Factor of Safety with respect to Cohesion?

Cohesion of Soil given Factor of Safety with respect to Cohesion calculator uses Cohesion of Soil = (Stability Number*Factor of Safety with respect to Cohesion*Unit Weight of Soil*Depth at Mobilized Cohesion in Stability Number) to calculate the Cohesion of Soil, The Cohesion of Soil given Factor of Safety with respect to Cohesion formula is defined as the ratio of soil cohesion to applied stress ensuring stability in geotechnical engineering. Cohesion of Soil is denoted by c symbol.

How to calculate Cohesion of Soil given Factor of Safety with respect to Cohesion using this online calculator? To use this online calculator for Cohesion of Soil given Factor of Safety with respect to Cohesion, enter Stability Number (S_n), Factor of Safety with respect to Cohesion (F_c), Unit Weight of Soil (γ) & Depth at Mobilized Cohesion in Stability Number (H_Mobilised) and hit the calculate button. Here is how the Cohesion of Soil given Factor of Safety with respect to Cohesion calculation can be explained with given input values -> 0.00275 = (2.01*1.9*18000*0.04).

FAQ

What is Cohesion of Soil given Factor of Safety with respect to Cohesion?

The Cohesion of Soil given Factor of Safety with respect to Cohesion formula is defined as the ratio of soil cohesion to applied stress ensuring stability in geotechnical engineering and is represented as c = (S_n*F_c*γ*H_Mobilised) or Cohesion of Soil = (Stability Number*Factor of Safety with respect to Cohesion*Unit Weight of Soil*Depth at Mobilized Cohesion in Stability Number). Stability Number is a parameter used to assess the stability of slopes, particularly in soil mechanics and geotechnical analyses, Factor of Safety with respect to Cohesion is the ratio of material's shear strength to applied shear stress, ensuring stability against sliding, Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil & Depth at Mobilized Cohesion in Stability Number is soil layer thickness where effective cohesion is reached, impacting slope stability.

How to calculate Cohesion of Soil given Factor of Safety with respect to Cohesion?

The Cohesion of Soil given Factor of Safety with respect to Cohesion formula is defined as the ratio of soil cohesion to applied stress ensuring stability in geotechnical engineering is calculated using Cohesion of Soil = (Stability Number*Factor of Safety with respect to Cohesion*Unit Weight of Soil*Depth at Mobilized Cohesion in Stability Number). To calculate Cohesion of Soil given Factor of Safety with respect to Cohesion, you need Stability Number (S_n), Factor of Safety with respect to Cohesion (F_c), Unit Weight of Soil (γ) & Depth at Mobilized Cohesion in Stability Number (H_Mobilised). With our tool, you need to enter the respective value for Stability Number, Factor of Safety with respect to Cohesion, Unit Weight of Soil & Depth at Mobilized Cohesion in Stability Number 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 Stability Number, Factor of Safety with respect to Cohesion, Unit Weight of Soil & Depth at Mobilized Cohesion in Stability Number. We can use 3 other way(s) to calculate the same, which is/are as follows -

Cohesion of Soil = Shear Strength in KN per Cubic Meter-(Normal Stress at a Point in Soil*tan((Angle of Internal Friction of Soil*pi)/180))
Cohesion of Soil = (Shear Stress in Cohesive Soil*Factor of Safety)-(Normal Stress at a Point in Soil*tan((Angle of Internal Friction)))
Cohesion of Soil = (Critical Depth*Unit Weight of Soil*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2)

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