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Angle of Internal Friction given Shear Strength of Soil Formula

GoAngle of Internal Friction given Factor of Safety for Cohesive Soil Formula

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

Φ i = a \tan ((\frac{τ s}{𝜏}) \cdot \tan ((I)))

Φ_i - Angle of Internal Friction of Soil?τ_s - Shear Strength?𝜏 - Shear Stress?I - Angle of Inclination?

Angle of Internal Friction given Shear Strength of Soil Example

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

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

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

89.9995 = a \tan ((\frac{1.2}{61}) \cdot \tan ((80)))

89.9995° = a \tan ((\frac{1.2MPa}{61Pa}) \cdot \tan ((80°)))

89.9995 = a \tan ((\frac{1.2}{61}) \cdot \tan ((80)))

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Angle of Internal Friction given Shear Strength of Soil Solution

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

FIRST Step Consider the formula

Φ i = a \tan ((\frac{τ s}{𝜏}) \cdot \tan ((I)))

Next Step Substitute values of Variables

∴

Φ i = a \tan ((\frac{1.2MPa}{61Pa}) \cdot \tan ((80°)))

Next Step Convert Units

∴

Φ i = a \tan ((\frac{1.2E+6Pa}{61Pa}) \cdot \tan ((1.3963rad)))

Next Step Prepare to Evaluate

∴

Φ i = a \tan ((\frac{1.2E+6}{61}) \cdot \tan ((1.3963)))

Next Step Evaluate

∴

Φ i = 1.57078736350671rad

Next Step Convert to Output's Unit

∴

Φ i = 89.9994864414333°

LAST Step Rounding Answer

∴

Φ i = 89.9995°

Angle of Internal Friction given Shear Strength of Soil Formula Elements

Variables

Functions

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

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

Shear Stress

Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

Symbol: 𝜏

Measurement: StressUnit: Pa

Note: Value should be greater than 0.

Formulas to find Shear Stress

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)

atan

Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle.

Syntax: atan(Number)

Other Formulas to find Angle of Internal Friction of Soil

Go Angle of Internal Friction given Factor of Safety for Cohesive Soil

Φ i = a \tan (\frac{(𝜏 Shearstress \cdot f s) - c u}{σ Normal})

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 Angle of Internal Friction given Shear Strength of Soil?

Angle of Internal Friction given Shear Strength of Soil evaluator uses Angle of Internal Friction of Soil = atan((Shear Strength/Shear Stress)*tan((Angle of Inclination))) to evaluate the Angle of Internal Friction of Soil, The Angle of Internal Friction given Shear Strength of Soil formula is defined as the measure of soil's resistance to shear stress, defining its shear strength behavior. Angle of Internal Friction of Soil is denoted by Φ_i symbol.

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

FAQs on Angle of Internal Friction given Shear Strength of Soil

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

The formula of Angle of Internal Friction given Shear Strength of Soil is expressed as Angle of Internal Friction of Soil = atan((Shear Strength/Shear Stress)*tan((Angle of Inclination))). Here is an example- 5156.591 = atan((1200000/61)*tan((1.3962634015952))).

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

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

What are the other ways to Calculate Angle of Internal Friction of Soil?

Here are the different ways to Calculate Angle of Internal Friction of Soil-

Angle of Internal Friction of Soil=atan(((Shear Stress for Factor of Safety*Factor of Safety)-Unit Cohesion)/Normal Stress)

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

Yes, the Angle of Internal Friction given Shear Strength of Soil, measured in Angle can be negative.

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

Angle of Internal Friction given Shear Strength of Soil is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Angle of Internal Friction given Shear Strength of Soil can be measured.

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Angle of Internal Friction given Shear Strength of Soil Formula

​GoAngle of Internal Friction given Factor of Safety for Cohesive Soil Formula

Angle of Internal Friction given Shear Strength of Soil Example

Angle of Internal Friction given Shear Strength of Soil Solution

Angle of Internal Friction given Shear Strength of Soil Formula Elements

Other Formulas to find Angle of Internal Friction of Soil

Other formulas in Stability Analysis of Infinite Slopes category

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

FAQs on Angle of Internal Friction given Shear Strength of Soil

Variable Name

GoAngle of Internal Friction given Factor of Safety for Cohesive Soil Formula