Cohesion given Shear Strength of Cohesive Soil Calculator

✖Shear Strength in KN per Cubic Meter is the strength of a material against structural failure when the material fails in shear, measure in Kilonewton per cubic meter.ⓘ Shear Strength in KN per Cubic Meter [τ_f]			+10% -10%
✖Normal Stress at a Point in Soil is defined as the force per unit area acting perpendicular to an imaginary plane passing through that point.ⓘ Normal Stress at a Point in Soil [σ_n]			+10% -10%
✖Angle of Internal Friction of Soil is a measure of the shear strength of soil due to friction.ⓘ Angle of Internal Friction of Soil [Φ_i]			+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 given Shear Strength of Cohesive Soil [c]

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Cohesion given Shear Strength of Cohesive Soil Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
c = τ_f-(σ_n*tan((Φ_i*pi)/180))
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)

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.
Shear Strength in KN per Cubic Meter - (Measured in Pascal) - Shear Strength in KN per Cubic Meter is the strength of a material against structural failure when the material fails in shear, measure in Kilonewton per cubic meter.
Normal Stress at a Point in Soil - (Measured in Pascal) - Normal Stress at a Point in Soil is defined as the force per unit area acting perpendicular to an imaginary plane passing through that point.
Angle of Internal Friction of Soil - (Measured in Radian) - Angle of Internal Friction of Soil is a measure of the shear strength of soil due to friction.

STEP 1: Convert Input(s) to Base Unit

Shear Strength in KN per Cubic Meter: 4.92 Kilonewton per Square Meter --> 4920 Pascal (Check conversion here)
Normal Stress at a Point in Soil: 21.66 Kilonewton per Square Meter --> 21660 Pascal (Check conversion here)
Angle of Internal Friction of Soil: 78.69 Degree --> 1.37339958839408 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

c = τ_f-(σ_n*tan((Φ_i*pi)/180)) --> 4920-(21660*tan((1.37339958839408*pi)/180))

Evaluating ... ...

c = 4400.70286982002

STEP 3: Convert Result to Output's Unit

4400.70286982002 Pascal -->4.40070286982002 Kilopascal (Check conversion here)

FINAL ANSWER

4.40070286982002 ≈ 4.400703 Kilopascal <-- Cohesion of Soil

(Calculation completed in 00.020 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

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

Normal Stress given Shear Strength of Cohesionless Soil

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

Shear Strength of Cohesionless Soil

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

Angle of Internal Friction given Shear Strength of Cohesionless Soil

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

Cohesion given Shear Strength of Cohesive Soil Formula

LaTeX Go

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))
c = τ_f-(σ_n*tan((Φ_i*pi)/180))

What is Cohesive Force?

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 given Shear Strength of Cohesive Soil?

Cohesion given Shear Strength of Cohesive Soil calculator uses 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)) to calculate the Cohesion of Soil, The Cohesion given Shear Strength of Cohesive Soil formula is defined as the value of cohesion when we have prior information of shear strength of cohesive soil. Cohesion of Soil is denoted by c symbol.

How to calculate Cohesion given Shear Strength of Cohesive Soil using this online calculator? To use this online calculator for Cohesion given Shear Strength of Cohesive Soil, enter Shear Strength in KN per Cubic Meter (τ_f), Normal Stress at a Point in Soil (σ_n) & Angle of Internal Friction of Soil (Φ_i) and hit the calculate button. Here is how the Cohesion given Shear Strength of Cohesive Soil calculation can be explained with given input values -> 0.003065 = 4920-(21660*tan((1.37339958839408*pi)/180)).

FAQ

What is Cohesion given Shear Strength of Cohesive Soil?

The Cohesion given Shear Strength of Cohesive Soil formula is defined as the value of cohesion when we have prior information of shear strength of cohesive soil and is represented as c = τ_f-(σ_n*tan((Φ_i*pi)/180)) or 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)). Shear Strength in KN per Cubic Meter is the strength of a material against structural failure when the material fails in shear, measure in Kilonewton per cubic meter, Normal Stress at a Point in Soil is defined as the force per unit area acting perpendicular to an imaginary plane passing through that point & Angle of Internal Friction of Soil is a measure of the shear strength of soil due to friction.

How to calculate Cohesion given Shear Strength of Cohesive Soil?

The Cohesion given Shear Strength of Cohesive Soil formula is defined as the value of cohesion when we have prior information of shear strength of cohesive soil is calculated using 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)). To calculate Cohesion given Shear Strength of Cohesive Soil, you need Shear Strength in KN per Cubic Meter (τ_f), Normal Stress at a Point in Soil (σ_n) & Angle of Internal Friction of Soil (Φ_i). With our tool, you need to enter the respective value for Shear Strength in KN per Cubic Meter, Normal Stress at a Point in Soil & Angle of Internal Friction of Soil 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 Shear Strength in KN per Cubic Meter, Normal Stress at a Point in Soil & Angle of Internal Friction of Soil. We can use 3 other way(s) to calculate the same, which is/are as follows -

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)
Cohesion of Soil = Stability Number*(Unit Weight of Soil*Critical Depth for Stability Number)

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