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Angle of Internal Friction given Shear Strength of Cohesionless Soil Formula

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

φ = a \tan (\frac{τ s}{σ nm})

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

Angle of Internal Friction given Shear Strength of Cohesionless Soil Example

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

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

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

47.4896 = a \tan (\frac{1.2}{1.1})

47.4896° = a \tan (\frac{1.2MPa}{1.1MPa})

47.4896 = a \tan (\frac{1.2}{1.1})

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Angle of Internal Friction given Shear Strength of Cohesionless Soil Solution

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

FIRST Step Consider the formula

φ = a \tan (\frac{τ s}{σ nm})

Next Step Substitute values of Variables

∴

φ = a \tan (\frac{1.2MPa}{1.1MPa})

Next Step Prepare to Evaluate

∴

φ = a \tan (\frac{1.2}{1.1})

Next Step Evaluate

∴

φ = 0.828849058788979rad

Next Step Convert to Output's Unit

∴

φ = 47.4895529220081°

LAST Step Rounding Answer

∴

φ = 47.4896°

Angle of Internal Friction given Shear Strength of Cohesionless Soil Formula Elements

Variables

Functions

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

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

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 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 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 Angle of Internal Friction given Shear Strength of Cohesionless Soil?

Angle of Internal Friction given Shear Strength of Cohesionless Soil evaluator uses Angle of Internal Friction = atan(Shear Strength/Normal Stress in Mega Pascal) to evaluate the Angle of Internal Friction, The Angle of Internal Friction given Shear Strength of Cohesionless Soil formula is defined as the measure of resistance to shear in cohesion less soil, reflecting its shear strength. Angle of Internal Friction is denoted by φ symbol.

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

FAQs on Angle of Internal Friction given Shear Strength of Cohesionless Soil

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

The formula of Angle of Internal Friction given Shear Strength of Cohesionless Soil is expressed as Angle of Internal Friction = atan(Shear Strength/Normal Stress in Mega Pascal). Here is an example- 2720.951 = atan(1200000/1100000).

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

With Shear Strength (τ_s) & Normal Stress in Mega Pascal (σ_nm) we can find Angle of Internal Friction given Shear Strength of Cohesionless Soil using the formula - Angle of Internal Friction = atan(Shear Strength/Normal Stress in Mega Pascal). This formula also uses Tangent (tan), Inverse Tan (atan) function(s).

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

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

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

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

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Angle of Internal Friction given Shear Strength of Cohesionless Soil Formula

Angle of Internal Friction given Shear Strength of Cohesionless Soil Example

Angle of Internal Friction given Shear Strength of Cohesionless Soil Solution

Angle of Internal Friction given Shear Strength of Cohesionless Soil Formula Elements

Other formulas in Stability Analysis of Infinite Slopes category

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

FAQs on Angle of Internal Friction given Shear Strength of Cohesionless Soil

Variable Name