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Shear Strength of Soil given Angle of Internal Friction Formula

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Shear Strength of Soil is the maximum shear stress that a soil can withstand without undergoing failure or excessive deformation. Check FAQs

τ soil = (𝜏 Shearstress \cdot (\frac{\tan (Φ i)}{\tan (I)}))

τ_soil - Shear Strength of Soil?𝜏_Shearstress - Shear Stress for Factor of Safety?Φ_i - Angle of Internal Friction of Soil?I - Angle of Inclination?

Shear Strength of Soil given Angle of Internal Friction Example

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Here is how the Shear Strength of Soil given Angle of Internal Friction equation looks like with Values.

Here is how the Shear Strength of Soil given Angle of Internal Friction equation looks like with Units.

Here is how the Shear Strength of Soil given Angle of Internal Friction equation looks like.

14.0258 = (15.909 \cdot (\frac{\tan (78.69)}{\tan (80)}))

14.0258MPa = (15.909Pa \cdot (\frac{\tan (78.69°)}{\tan (80°)}))

14.0258 = (15.909 \cdot (\frac{\tan (78.69)}{\tan (80)}))

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Shear Strength of Soil given Angle of Internal Friction Solution

Follow our step by step solution on how to calculate Shear Strength of Soil given Angle of Internal Friction?

FIRST Step Consider the formula

τ soil = (𝜏 Shearstress \cdot (\frac{\tan (Φ i)}{\tan (I)}))

Next Step Substitute values of Variables

∴

τ soil = (15.909Pa \cdot (\frac{\tan (78.69°)}{\tan (80°)}))

Next Step Convert Units

∴

τ soil = (15.909Pa \cdot (\frac{\tan (1.3734rad)}{\tan (1.3963rad)}))

Next Step Prepare to Evaluate

∴

τ soil = (15.909 \cdot (\frac{\tan (1.3734)}{\tan (1.3963)}))

Next Step Evaluate

∴

τ soil = 14025843.7235657Pa

Next Step Convert to Output's Unit

∴

τ soil = 14.0258437235657MPa

LAST Step Rounding Answer

∴

τ soil = 14.0258MPa

Shear Strength of Soil given Angle of Internal Friction Formula Elements

Variables

Functions

Shear Strength of Soil

Shear Strength of Soil is the maximum shear stress that a soil can withstand without undergoing failure or excessive deformation.

Symbol: τ_soil

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Shear Strength of Soil

Shear Stress for Factor of Safety

Shear Stress for Factor of Safety is force is the maximum shear stress that a soil can withstand before failure, considering a safety factor.

Symbol: 𝜏_Shearstress

Measurement: StressUnit: Pa

Note: Value should be greater than 0.

Formulas to find Shear Stress for Factor of Safety

Angle of Internal Friction of Soil

Angle of Internal Friction of Soil is a measure of the shear strength of soil due to friction.

Symbol: Φ_i

Measurement: AngleUnit: °

Note: Value should be between -180 to 180.

Formulas to find Angle of Internal Friction of Soil

Angle of Inclination

Angle of Inclination is the angle measured from the horizontal surface of the wall or any object.

Symbol: I

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Inclination

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 in Stability Analysis of Infinite Slopes category

Go Shear Strength of Cohesionless Soil

τ s = σ nm \cdot \tan ((φ))

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))

How to Evaluate Shear Strength of Soil given Angle of Internal Friction?

Shear Strength of Soil given Angle of Internal Friction evaluator uses Shear Strength of Soil = (Shear Stress for Factor of Safety*(tan(Angle of Internal Friction of Soil)/tan(Angle of Inclination))) to evaluate the Shear Strength of Soil, The Shear Strength of Soil given Angle of Internal Friction formula is defined as resistance to sliding along internal planes, determined by the angle of internal friction. Shear Strength of Soil is denoted by τ_soil symbol.

How to evaluate Shear Strength of Soil given Angle of Internal Friction using this online evaluator? To use this online evaluator for Shear Strength of Soil given Angle of Internal Friction, enter Shear Stress for Factor of Safety (𝜏_Shearstress), Angle of Internal Friction of Soil (Φ_i) & Angle of Inclination (I) and hit the calculate button.

FAQs on Shear Strength of Soil given Angle of Internal Friction

What is the formula to find Shear Strength of Soil given Angle of Internal Friction?

The formula of Shear Strength of Soil given Angle of Internal Friction is expressed as Shear Strength of Soil = (Shear Stress for Factor of Safety*(tan(Angle of Internal Friction of Soil)/tan(Angle of Inclination))). Here is an example- 1.4E-5 = (15.909*(tan(1.37339958839408)/tan(1.3962634015952))).

How to calculate Shear Strength of Soil given Angle of Internal Friction?

With Shear Stress for Factor of Safety (𝜏_Shearstress), Angle of Internal Friction of Soil (Φ_i) & Angle of Inclination (I) we can find Shear Strength of Soil given Angle of Internal Friction using the formula - Shear Strength of Soil = (Shear Stress for Factor of Safety*(tan(Angle of Internal Friction of Soil)/tan(Angle of Inclination))). This formula also uses Tangent (tan) function(s).

Can the Shear Strength of Soil given Angle of Internal Friction be negative?

No, the Shear Strength of Soil given Angle of Internal Friction, measured in Pressure cannot be negative.

Which unit is used to measure Shear Strength of Soil given Angle of Internal Friction?

Shear Strength of Soil given Angle of Internal Friction 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 Soil given Angle of Internal Friction can be measured.

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Shear Strength of Soil given Angle of Internal Friction Formula

Shear Strength of Soil given Angle of Internal Friction Example

Shear Strength of Soil given Angle of Internal Friction Solution

Shear Strength of Soil given Angle of Internal Friction Formula Elements

Other formulas in Stability Analysis of Infinite Slopes category

How to Evaluate Shear Strength of Soil given Angle of Internal Friction?

FAQs on Shear Strength of Soil given Angle of Internal Friction

Variable Name