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Shear Strength of Cohesive Soil Formula

GoShear Strength of Cohesionless Soil Formula

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Shear Strength is the strength of a material against structural failure when the material fails in shear. Check FAQs

τ s = c + (σ nm \cdot \tan ((φ)))

τ_s - Shear Strength?c - Cohesion of Soil?σ_nm - Normal Stress in Mega Pascal?φ - Angle of Internal Friction?

Shear Strength of Cohesive Soil Example

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Here is how the Shear Strength of Cohesive Soil equation looks like with Values.

Here is how the Shear Strength of Cohesive Soil equation looks like with Units.

Here is how the Shear Strength of Cohesive Soil equation looks like.

1.2021 = 2.511 + (1.1 \cdot \tan ((47.48)))

1.2021MPa = 2.511kPa + (1.1MPa \cdot \tan ((47.48°)))

1.2021 = 2.511 + (1.1 \cdot \tan ((47.48)))

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Shear Strength of Cohesive Soil Solution

Follow our step by step solution on how to calculate Shear Strength of Cohesive Soil?

FIRST Step Consider the formula

τ s = c + (σ nm \cdot \tan ((φ)))

Next Step Substitute values of Variables

∴

τ s = 2.511kPa + (1.1MPa \cdot \tan ((47.48°)))

Next Step Convert Units

∴

τ s = 0.0025MPa + (1.1MPa \cdot \tan ((0.8287rad)))

Next Step Prepare to Evaluate

∴

τ s = 0.0025 + (1.1 \cdot \tan ((0.8287)))

Next Step Evaluate

∴

τ s = 1202109.4054531Pa

Next Step Convert to Output's Unit

∴

τ s = 1.2021094054531MPa

LAST Step Rounding Answer

∴

τ s = 1.2021MPa

Shear Strength of Cohesive Soil Formula Elements

Variables

Functions

Shear Strength

Shear Strength is the strength of a material against structural failure when the material fails in shear.

Symbol: τ_s

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Shear Strength

Cohesion of Soil

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.

Symbol: c

Measurement: PressureUnit: kPa

Note: Value should be greater than 0.

Formulas to find Cohesion of Soil

Normal Stress in Mega Pascal

Normal Stress in Mega Pascal is the stress component that acts perpendicular to the plane of interest within a soil mass measure in mega pascal.

Symbol: σ_nm

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Normal Stress in Mega Pascal

Angle of Internal Friction

Angle of Internal Friction is the angle measured between the normal force and resultant force.

Symbol: φ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Internal Friction

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.

Syntax: tan(Angle)

Other Formulas to find Shear Strength

Go Shear Strength of Cohesionless Soil

τ s = σ nm \cdot \tan ((φ))

Other formulas in Stability Analysis of Infinite Slopes category

Go Normal Stress given Shear Strength of Cohesionless Soil

σ nm = \frac{τ s}{\tan ((φ))}

Go Angle of Internal Friction given Shear Strength of Cohesionless Soil

φ = a \tan (\frac{τ s}{σ nm})

Go Normal Stress given Shear Stress of Cohesionless Soil

σ nm = 𝜏 Shearstress \cdot \cot ((I))

Go Factor of Safety against Sliding

f s = (\frac{\tan ((Φ i))}{\tan ((I))})

How to Evaluate Shear Strength of Cohesive Soil?

Shear Strength of Cohesive Soil evaluator uses Shear Strength = Cohesion of Soil+(Normal Stress in Mega Pascal*tan((Angle of Internal Friction))) to evaluate the Shear Strength, The Shear Strength of Cohesive Soil formula is defined as the value of the maximum shear stress that cohesive soil can sustain without undergoing failure. Shear Strength is denoted by τ_s symbol.

How to evaluate Shear Strength of Cohesive Soil using this online evaluator? To use this online evaluator for Shear Strength of Cohesive Soil, enter Cohesion of Soil (c), Normal Stress in Mega Pascal (σ_nm) & Angle of Internal Friction (φ) and hit the calculate button.

FAQs on Shear Strength of Cohesive Soil

What is the formula to find Shear Strength of Cohesive Soil?

The formula of Shear Strength of Cohesive Soil is expressed as Shear Strength = Cohesion of Soil+(Normal Stress in Mega Pascal*tan((Angle of Internal Friction))). Here is an example- 1.2E-6 = 2511+(1100000*tan((0.828682328846752))).

How to calculate Shear Strength of Cohesive Soil?

With Cohesion of Soil (c), Normal Stress in Mega Pascal (σ_nm) & Angle of Internal Friction (φ) we can find Shear Strength of Cohesive Soil using the formula - Shear Strength = Cohesion of Soil+(Normal Stress in Mega Pascal*tan((Angle of Internal Friction))). This formula also uses Tangent (tan) function(s).

What are the other ways to Calculate Shear Strength?

Here are the different ways to Calculate Shear Strength-

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

Can the Shear Strength of Cohesive Soil be negative?

No, the Shear Strength of Cohesive Soil, measured in Pressure cannot be negative.

Which unit is used to measure Shear Strength of Cohesive Soil?

Shear Strength of Cohesive Soil is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Shear Strength of Cohesive Soil can be measured.

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Shear Strength of Cohesive Soil Formula

​GoShear Strength of Cohesionless Soil Formula

Shear Strength of Cohesive Soil Example

Shear Strength of Cohesive Soil Solution

Shear Strength of Cohesive Soil Formula Elements

Other Formulas to find Shear Strength

Other formulas in Stability Analysis of Infinite Slopes category

How to Evaluate Shear Strength of Cohesive Soil?

FAQs on Shear Strength of Cohesive Soil

Variable Name

GoShear Strength of Cohesionless Soil Formula