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Shear Strength of Cohesionless Soil Formula

GoShear Strength of Cohesive 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 = σ nm \cdot \tan ((φ))

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

Shear Strength of Cohesionless Soil Example

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

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

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

1.1996 = 1.1 \cdot \tan ((47.48))

1.1996MPa = 1.1MPa \cdot \tan ((47.48°))

1.1996 = 1.1 \cdot \tan ((47.48))

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Shear Strength of Cohesionless Soil Solution

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

FIRST Step Consider the formula

τ s = σ nm \cdot \tan ((φ))

Next Step Substitute values of Variables

∴

τ s = 1.1MPa \cdot \tan ((47.48°))

Next Step Convert Units

∴

τ s = 1.1MPa \cdot \tan ((0.8287rad))

Next Step Prepare to Evaluate

∴

τ s = 1.1 \cdot \tan ((0.8287))

Next Step Evaluate

∴

τ s = 1199598.4054531Pa

Next Step Convert to Output's Unit

∴

τ s = 1.1995984054531MPa

LAST Step Rounding Answer

∴

τ s = 1.1996MPa

Shear Strength of Cohesionless 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

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 Cohesive Soil

τ s = c + (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 Cohesionless Soil?

Shear Strength of Cohesionless Soil evaluator uses Shear Strength = Normal Stress in Mega Pascal*tan((Angle of Internal Friction)) to evaluate the Shear Strength, The Shear Strength of Cohesionless Soil formula is defined as the value of the resistance offered by soil particles to shearing forces when there is no cohesive bond between them. Cohesionless soils, such as sands and gravels, primarily rely on interparticle friction and the effective stress to resist shearing. Shear Strength is denoted by τ_s symbol.

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

FAQs on Shear Strength of Cohesionless Soil

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

The formula of Shear Strength of Cohesionless Soil is expressed as Shear Strength = Normal Stress in Mega Pascal*tan((Angle of Internal Friction)). Here is an example- 1.1E-6 = 1100000*tan((0.828682328846752)).

How to calculate Shear Strength of Cohesionless Soil?

With Normal Stress in Mega Pascal (σ_nm) & Angle of Internal Friction (φ) we can find Shear Strength of Cohesionless Soil using the formula - Shear Strength = 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=Cohesion of Soil+(Normal Stress in Mega Pascal*tan((Angle of Internal Friction)))

Can the Shear Strength of Cohesionless Soil be negative?

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

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

Shear Strength of Cohesionless 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 Cohesionless Soil can be measured.

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Shear Strength of Cohesionless Soil Formula

​GoShear Strength of Cohesive Soil Formula

Shear Strength of Cohesionless Soil Example

Shear Strength of Cohesionless Soil Solution

Shear Strength of Cohesionless Soil Formula Elements

Other Formulas to find Shear Strength

Other formulas in Stability Analysis of Infinite Slopes category

How to Evaluate Shear Strength of Cohesionless Soil?

FAQs on Shear Strength of Cohesionless Soil

Variable Name

GoShear Strength of Cohesive Soil Formula