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.ⓘ Shear Strength in KN per Cubic Meter [τ_f]			+10% -10%
✖Normal Stress in Soil Mechanics is stress that occurs when a member is loaded by an axial force.ⓘ Normal Stress in Soil Mechanics [σ_n]			+10% -10%
✖Angle of Internal Friction of Soil is a shear strength parameter of soils.ⓘ 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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Formula

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Cohesion given Shear Strength of Cohesive Soil

Formula

`"c" = "τ"_{"f"}-("σ"_{"n"}*tan(("Φ"_{"i"}*pi)/180))`

Example

`"2.966737kPa"="4.92kN/m²"-("77.36kN/m²"*tan(("82.87°"*pi)/180))`

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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 in Soil Mechanics*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.
Normal Stress in Soil Mechanics - (Measured in Pascal) - Normal Stress in Soil Mechanics is stress that occurs when a member is loaded by an axial force.
Angle of Internal Friction of Soil - (Measured in Radian) - Angle of Internal Friction of Soil is a shear strength parameter of soils.

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 in Soil Mechanics: 77.36 Kilonewton per Square Meter --> 77360 Pascal (Check conversion here)
Angle of Internal Friction of Soil: 82.87 Degree --> 1.44635435112743 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

c = τ_f-(σ_n*tan((Φ_i*pi)/180)) --> 4920-(77360*tan((1.44635435112743*pi)/180))

Evaluating ... ...

c = 2966.73666023441

STEP 3: Convert Result to Output's Unit

2966.73666023441 Pascal -->2.96673666023441 Kilopascal (Check conversion here)

FINAL ANSWER

2.96673666023441 ≈ 2.966737 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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Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< 25 Stability Analysis of Infinite Slopes Calculators

Unit Weight of Soil given Critical Depth for Cohesive Soil

Go Unit Weight of Soil = Cohesion of Soil/(Critical Depth*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2)

Cohesion given Critical Depth for Cohesive Soil

Go Cohesion of Soil = (Critical Depth*Unit Weight of Soil*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2)

Critical Depth for Cohesive Soil

Go Critical Depth = Cohesion of Soil/(Unit Weight of Soil*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2)

Cohesion given Shear Strength of Cohesive Soil

Go Cohesion of Soil = Shear Strength in KN per Cubic Meter-(Normal Stress in Soil Mechanics*tan((Angle of Internal Friction of Soil*pi)/180))

Cohesion of Soil given Factor of Safety for Cohesive Soil

Go Cohesion of Soil = (Shear Stress in Cohesive Soil*Factor of Safety)-(Normal Stress in Soil Mechanics*tan((Angle of Internal Friction)))

Normal Stress given Factor of Safety for Cohesive Soil

Go Normal Stress = ((Shear Stress for Factor of Safety*Factor of Safety)-Unit Cohesion)/tan((Angle of Internal Friction of Soil))

Shear Stress given Factor of Safety for Cohesive Soil

Go Shear Stress for Factor of Safety = (Unit Cohesion+(Normal Stress*tan((Angle of Internal Friction of Soil))))/Factor of Safety

Shear Strength of Soil given Angle of Internal Friction

Go Shear Strength = (Shear Stress for Factor of Safety*(tan(Angle of Internal Friction of Soil)/tan(Angle of Inclination)))

Shear Stress of Soil given Angle of Internal Friction

Go Shear Stress for Factor of Safety = Shear Strength/(tan((Angle of Internal Friction))/tan((Angle of Inclination)))

Angle of Internal Friction given Shear Strength of Soil

Go Angle of Internal Friction of Soil = atan((Shear Strength/Shear Stress)*tan((Angle of Inclination)))

Normal Stress given Shear Strength of Cohesive Soil

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

Shear Strength of Cohesive Soil

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

Factor of Safety against Sliding given Angle of Internal Friction

Go Factor of Safety = (tan((Angle of Internal Friction of Soil))/tan((Angle of Inclination)))

Unit Weight of Soil given Stability Number for Cohesive Soil

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

Critical Depth given Stability Number for Cohesive Soil

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

Cohesion given Stability Number for Cohesive Soil

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

Normal Stress given Shear Stress of Cohesionless Soil

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

Unit Weight of Soil given Mobilised Cohesion

Go Unit Weight of Soil = (Mobilised Cohesion/(Stability Number*Depth at Mobilised Cohesion))

Depth at Mobilised Cohesion

Go Depth at Mobilised Cohesion = (Mobilised Cohesion/(Unit Weight of Soil*Stability Number))

Mobilised Cohesion given Stability Number for Cohesive Soil

Go Mobilised Cohesion = (Stability Number*Unit Weight of Soil*Depth at Mobilised Cohesion)

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 Mobilised Cohesion

Go Cohesion of Soil = Mobilised Cohesion*Factor of Safety with respect to Cohesion

Mobilised Cohesion

Go Mobilised Cohesion = Cohesion of Soil/Factor of Safety with respect to Cohesion

Cohesion given Shear Strength of Cohesive Soil Formula

Cohesion of Soil = Shear Strength in KN per Cubic Meter-(Normal Stress in Soil Mechanics*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 in Soil Mechanics*tan((Angle of Internal Friction of Soil*pi)/180)) to calculate the Cohesion of Soil, The Cohesion given Shear Strength of Cohesive Soil is defined as the value of cohesion when we have prior information of other parameters used. 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 in Soil Mechanics (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 -> 0.003977 = 4920-(77360*tan((1.44635435112743*pi)/180)).

FAQ

What is Cohesion given Shear Strength of Cohesive Soil?

The Cohesion given Shear Strength of Cohesive Soil is defined as the value of cohesion when we have prior information of other parameters used 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 in Soil Mechanics*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, Normal Stress in Soil Mechanics is stress that occurs when a member is loaded by an axial force & Angle of Internal Friction of Soil is a shear strength parameter of soils.

How to calculate Cohesion given Shear Strength of Cohesive Soil?

The Cohesion given Shear Strength of Cohesive Soil is defined as the value of cohesion when we have prior information of other parameters used is calculated using Cohesion of Soil = Shear Strength in KN per Cubic Meter-(Normal Stress in Soil Mechanics*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 in Soil Mechanics (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 in Soil Mechanics & 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 in Soil Mechanics & Angle of Internal Friction of Soil. We can use 5 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 in Soil Mechanics*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)
Cohesion of Soil = Mobilised Cohesion*Factor of Safety with respect to Cohesion
Cohesion of Soil = (Stability Number*Factor of Safety with respect to Cohesion*Unit Weight of Soil*Depth at Mobilised Cohesion in Stability Number)

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