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Shear Stress of Soil given Angle of Internal Friction Formula

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Shear Stress given Angle of Internal Friction is the shear stress acting on a plane within a soil mass, determined by the internal friction angle of the soil. Check FAQs

𝜏 i = \frac{τ s}{\frac{\tan ((φ))}{\tan ((I))}}

𝜏_i - Shear Stress given Angle of Internal Friction?τ_s - Shear Strength?φ - Angle of Internal Friction?I - Angle of Inclination?

Shear Stress of Soil given Angle of Internal Friction Example

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

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

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

6.2405 = \frac{1.2}{\frac{\tan ((47.48))}{\tan ((80))}}

6.2405Pa = \frac{1.2MPa}{\frac{\tan ((47.48°))}{\tan ((80°))}}

6.2405 = \frac{1.2}{\frac{\tan ((47.48))}{\tan ((80))}}

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Shear Stress of Soil given Angle of Internal Friction Solution

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

FIRST Step Consider the formula

𝜏 i = \frac{τ s}{\frac{\tan ((φ))}{\tan ((I))}}

Next Step Substitute values of Variables

∴

𝜏 i = \frac{1.2MPa}{\frac{\tan ((47.48°))}{\tan ((80°))}}

Next Step Convert Units

∴

𝜏 i = \frac{1.2MPa}{\frac{\tan ((0.8287rad))}{\tan ((1.3963rad))}}

Next Step Prepare to Evaluate

∴

𝜏 i = \frac{1.2}{\frac{\tan ((0.8287))}{\tan ((1.3963))}}

Next Step Evaluate

∴

𝜏 i = 6.24049846002945Pa

LAST Step Rounding Answer

∴

𝜏 i = 6.2405Pa

Shear Stress of Soil given Angle of Internal Friction Formula Elements

Variables

Functions

Shear Stress given Angle of Internal Friction

Shear Stress given Angle of Internal Friction is the shear stress acting on a plane within a soil mass, determined by the internal friction angle of the soil.

Symbol: 𝜏_i

Measurement: StressUnit: Pa

Note: Value should be greater than 0.

Formulas to find Shear Stress given Angle of Internal Friction

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

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

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 Stress of Soil given Angle of Internal Friction?

Shear Stress of Soil given Angle of Internal Friction evaluator uses Shear Stress given Angle of Internal Friction = Shear Strength/(tan((Angle of Internal Friction))/tan((Angle of Inclination))) to evaluate the Shear Stress given Angle of Internal Friction, The Shear Stress of Soil given Angle of Internal Friction formula is defined as the measure of the value of the shear stress acting on a plane within a soil mass, determined by the internal friction angle (φ) of the soil. Shear Stress given Angle of Internal Friction is denoted by 𝜏_i symbol.

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

FAQs on Shear Stress of Soil given Angle of Internal Friction

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

The formula of Shear Stress of Soil given Angle of Internal Friction is expressed as Shear Stress given Angle of Internal Friction = Shear Strength/(tan((Angle of Internal Friction))/tan((Angle of Inclination))). Here is an example- 6.240498 = 1200000/(tan((0.828682328846752))/tan((1.3962634015952))).

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

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

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

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

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

Shear Stress of Soil given Angle of Internal Friction is usually measured using the Pascal[Pa] for Stress. Newton per Square Meter[Pa], Newton per Square Millimeter[Pa], Kilonewton per Square Meter[Pa] are the few other units in which Shear Stress of Soil given Angle of Internal Friction can be measured.

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Shear Stress of Soil given Angle of Internal Friction Formula

Shear Stress of Soil given Angle of Internal Friction Example

Shear Stress of Soil given Angle of Internal Friction Solution

Shear Stress of Soil given Angle of Internal Friction Formula Elements

Other formulas in Stability Analysis of Infinite Slopes category

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

FAQs on Shear Stress of Soil given Angle of Internal Friction

Variable Name