Cohesion of Soil given Factor of Safety for Cohesive Soil Calculator

✖Shear Stress in Cohesive Soil is the stress that acts parallel to the plane of failure within cohesive soils such as clay or silt.ⓘ Shear Stress in Cohesive Soil [ζ_cs]			+10% -10%
✖Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.ⓘ Factor of Safety [f_s]			+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 is the angle measured between the normal force and resultant force.ⓘ Angle of Internal Friction [φ]			+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 for Cohesive Soil [c]

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Formula

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Cohesion of Soil given Factor of Safety for Cohesive Soil

Formula

c = (ζ cs \cdot f s) - (σ n \cdot \tan ((φ)))

Example

2.532417 kPa = (29.72 kN/m² \cdot 0.88) - (21.66 kN/m² \cdot \tan ((47.48 °)))

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Cohesion of Soil given Factor of Safety for Cohesive Soil Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cohesion of Soil = (Shear Stress in Cohesive Soil*Factor of Safety)-(Normal Stress at a Point in Soil*tan((Angle of Internal Friction)))
c = (ζ_cs*f_s)-(σ_n*tan((φ)))
This formula uses 1 Functions, 5 Variables

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 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.
Shear Stress in Cohesive Soil - (Measured in Kilonewton per Square Meter) - Shear Stress in Cohesive Soil is the stress that acts parallel to the plane of failure within cohesive soils such as clay or silt.
Factor of Safety - Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.
Normal Stress at a Point in Soil - (Measured in Kilonewton per Square 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 - (Measured in Radian) - Angle of Internal Friction is the angle measured between the normal force and resultant force.

STEP 1: Convert Input(s) to Base Unit

Shear Stress in Cohesive Soil: 29.72 Kilonewton per Square Meter --> 29.72 Kilonewton per Square Meter No Conversion Required
Factor of Safety: 0.88 --> No Conversion Required
Normal Stress at a Point in Soil: 21.66 Kilonewton per Square Meter --> 21.66 Kilonewton per Square Meter No Conversion Required
Angle of Internal Friction: 47.48 Degree --> 0.828682328846752 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

c = (ζ_cs*f_s)-(σ_n*tan((φ))) --> (29.72*0.88)-(21.66*tan((0.828682328846752)))

Evaluating ... ...

c = 2.53241685262355

STEP 3: Convert Result to Output's Unit

2532.41685262355 Pascal -->2.53241685262355 Kilopascal (Check conversion here)

FINAL ANSWER

2.53241685262355 ≈ 2.532417 Kilopascal <-- Cohesion of Soil

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Stability Analysis of Infinite Slopes » Cohesion of Soil given Factor of Safety for Cohesive Soil

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2100+ more calculators!

Verified by Ishita Goyal

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 for Cohesive Soil Formula

Cohesion of Soil = (Shear Stress in Cohesive Soil*Factor of Safety)-(Normal Stress at a Point in Soil*tan((Angle of Internal Friction)))
c = (ζ_cs*f_s)-(σ_n*tan((φ)))

What is Shear Stress?

Shear stress, often denoted by τ (Greek: tau), is the component of stress coplanar with a material cross section. It arises from the shear force, the component of force vector parallel to the material cross section. Normal stress, on the other hand.

How to Calculate Cohesion of Soil given Factor of Safety for Cohesive Soil?

Cohesion of Soil given Factor of Safety for Cohesive Soil calculator uses Cohesion of Soil = (Shear Stress in Cohesive Soil*Factor of Safety)-(Normal Stress at a Point in Soil*tan((Angle of Internal Friction))) to calculate the Cohesion of Soil, The Cohesion of Soil given Factor of Safety for Cohesive Soil formula is defined as the ratio of shear strength to applied stress, ensuring stability and preventing failure. Cohesion of Soil is denoted by c symbol.

How to calculate Cohesion of Soil given Factor of Safety for Cohesive Soil using this online calculator? To use this online calculator for Cohesion of Soil given Factor of Safety for Cohesive Soil, enter Shear Stress in Cohesive Soil (ζ_cs), Factor of Safety (f_s), Normal Stress at a Point in Soil (σ_n) & Angle of Internal Friction (φ) and hit the calculate button. Here is how the Cohesion of Soil given Factor of Safety for Cohesive Soil calculation can be explained with given input values -> -0.058211 = (29720*0.88)-(21660*tan((0.828682328846752))).

FAQ

What is Cohesion of Soil given Factor of Safety for Cohesive Soil?

The Cohesion of Soil given Factor of Safety for Cohesive Soil formula is defined as the ratio of shear strength to applied stress, ensuring stability and preventing failure and is represented as c = (ζ_cs*f_s)-(σ_n*tan((φ))) or Cohesion of Soil = (Shear Stress in Cohesive Soil*Factor of Safety)-(Normal Stress at a Point in Soil*tan((Angle of Internal Friction))). Shear Stress in Cohesive Soil is the stress that acts parallel to the plane of failure within cohesive soils such as clay or silt, Factor of Safety expresses how much stronger a system is than it needs to be for an intended load, 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 is the angle measured between the normal force and resultant force.

How to calculate Cohesion of Soil given Factor of Safety for Cohesive Soil?

The Cohesion of Soil given Factor of Safety for Cohesive Soil formula is defined as the ratio of shear strength to applied stress, ensuring stability and preventing failure is calculated using Cohesion of Soil = (Shear Stress in Cohesive Soil*Factor of Safety)-(Normal Stress at a Point in Soil*tan((Angle of Internal Friction))). To calculate Cohesion of Soil given Factor of Safety for Cohesive Soil, you need Shear Stress in Cohesive Soil (ζ_cs), Factor of Safety (f_s), Normal Stress at a Point in Soil (σ_n) & Angle of Internal Friction (φ). With our tool, you need to enter the respective value for Shear Stress in Cohesive Soil, Factor of Safety, Normal Stress at a Point in Soil & Angle of Internal Friction 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 Stress in Cohesive Soil, Factor of Safety, Normal Stress at a Point in Soil & Angle of Internal Friction. 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 = (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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