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Angle of Internal Friction given Shear Strength of Cohesive Soil Formula

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

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

Φ_c - Angle of Internal Friction of Cohesive Soil?τ_s - Shear Strength?c_u - Unit Cohesion?σ_Normal - Normal Stress?

Angle of Internal Friction given Shear Strength of Cohesive Soil Example

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

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

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

90 = a \tan (\frac{1.2 - 10}{0.8})

90° = a \tan (\frac{1.2MPa - 10Pa}{0.8Pa})

90 = a \tan (\frac{1.2 - 10}{0.8})

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Angle of Internal Friction given Shear Strength of Cohesive Soil Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Φ c = a \tan (\frac{1.2MPa - 10Pa}{0.8Pa})

Next Step Convert Units

∴

Φ c = a \tan (\frac{1.2E+6Pa - 10Pa}{0.8Pa})

Next Step Prepare to Evaluate

∴

Φ c = a \tan (\frac{1.2E+6 - 10}{0.8})

Next Step Evaluate

∴

Φ c = 1.57079566012267rad

Next Step Convert to Output's Unit

∴

Φ c = 89.9999618025123°

LAST Step Rounding Answer

∴

Φ c = 90°

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

Variables

Functions

Angle of Internal Friction of Cohesive Soil

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

Symbol: Φ_c

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Internal Friction of Cohesive 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

Unit Cohesion

Unit Cohesion is the shear strength of soil due to interparticle bonding and cementation.

Symbol: c_u

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Unit Cohesion

Normal Stress

Normal Stress is the stress component that acts perpendicular to the plane of interest within a soil mass or structure.

Symbol: σ_Normal

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Normal Stress

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 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 Cohesive Soil?

Angle of Internal Friction given Shear Strength of Cohesive Soil evaluator uses Angle of Internal Friction of Cohesive Soil = atan((Shear Strength-Unit Cohesion)/Normal Stress) to evaluate the Angle of Internal Friction of Cohesive Soil, The Angle of Internal Friction given Shear Strength of Cohesive Soil formula is defined as the maximum slope at which cohesive soil remains stable, defined by its shear strength. Angle of Internal Friction of Cohesive Soil is denoted by Φ_c symbol.

How to evaluate Angle of Internal Friction given Shear Strength of Cohesive Soil using this online evaluator? To use this online evaluator for Angle of Internal Friction given Shear Strength of Cohesive Soil, enter Shear Strength (τ_s), Unit Cohesion (c_u) & Normal Stress (σ_Normal) and hit the calculate button.

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

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

The formula of Angle of Internal Friction given Shear Strength of Cohesive Soil is expressed as Angle of Internal Friction of Cohesive Soil = atan((Shear Strength-Unit Cohesion)/Normal Stress). Here is an example- 1.570796 = atan((1200000-10)/0.8).

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

With Shear Strength (τ_s), Unit Cohesion (c_u) & Normal Stress (σ_Normal) we can find Angle of Internal Friction given Shear Strength of Cohesive Soil using the formula - Angle of Internal Friction of Cohesive Soil = atan((Shear Strength-Unit Cohesion)/Normal Stress). This formula also uses Tangent, Inverse tan function(s).

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

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

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

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

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Angle of Internal Friction given Shear Strength of Cohesive Soil Formula

Angle of Internal Friction given Shear Strength of Cohesive Soil Example

Angle of Internal Friction given Shear Strength of Cohesive Soil Solution

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

Other formulas in Stability Analysis of Infinite Slopes category

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

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

Variable Name