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Angle of Shearing Resistance Corresponding to Local Shear Failure Formula

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Angle of Shearing Resistance is known as a component of the shear strength of the soils which is basically frictional material and composed of individual particles. Check FAQs

φ = a \tan ((\frac{3}{2}) \cdot \tan ((φ m)))

φ - Angle of Shearing Resistance?φ_m - Angle of Mobilized Friction?

Angle of Shearing Resistance Corresponding to Local Shear Failure Example

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Here is how the Angle of Shearing Resistance Corresponding to Local Shear Failure equation looks like with Values.

Here is how the Angle of Shearing Resistance Corresponding to Local Shear Failure equation looks like with Units.

Here is how the Angle of Shearing Resistance Corresponding to Local Shear Failure equation looks like.

51.5328 = a \tan ((\frac{3}{2}) \cdot \tan ((40)))

51.5328° = a \tan ((\frac{3}{2}) \cdot \tan ((40°)))

51.5328 = a \tan ((\frac{3}{2}) \cdot \tan ((40)))

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Angle of Shearing Resistance Corresponding to Local Shear Failure Solution

Follow our step by step solution on how to calculate Angle of Shearing Resistance Corresponding to Local Shear Failure?

FIRST Step Consider the formula

φ = a \tan ((\frac{3}{2}) \cdot \tan ((φ m)))

Next Step Substitute values of Variables

∴

φ = a \tan ((\frac{3}{2}) \cdot \tan ((40°)))

Next Step Convert Units

∴

φ = a \tan ((\frac{3}{2}) \cdot \tan ((0.6981rad)))

Next Step Prepare to Evaluate

∴

φ = a \tan ((\frac{3}{2}) \cdot \tan ((0.6981)))

Next Step Evaluate

∴

φ = 0.899416584004811rad

Next Step Convert to Output's Unit

∴

φ = 51.532774287559°

LAST Step Rounding Answer

∴

φ = 51.5328°

Angle of Shearing Resistance Corresponding to Local Shear Failure Formula Elements

Variables

Functions

Angle of Shearing Resistance

Angle of Shearing Resistance is known as a component of the shear strength of the soils which is basically frictional material and composed of individual particles.

Symbol: φ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Shearing Resistance

Angle of Mobilized Friction

Angle of Mobilized Friction is the slope angle at which an object starts sliding due to applied force.

Symbol: φ_m

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Mobilized Friction

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 General and Local Shear Failure category

Go Mobilised Cohesion Corresponding to Local Shear Failure

C m = (\frac{2}{3}) \cdot C s

Go Cohesion of Soil given Mobilised Cohesion Corresponding to Local Shear Failure

C s = (\frac{3}{2}) \cdot C m

Go Mobilised Angle of Shearing Resistance Corresponding to Local Shear Failure

φ m = a \tan ((\frac{2}{3}) \cdot \tan ((φ)))

Go Bearing capacity for Local Shear Failure

q f = ((\frac{2}{3}) \cdot C s \cdot N c) + (σ s \cdot N q) + (0.5 \cdot γ \cdot B \cdot N γ)

How to Evaluate Angle of Shearing Resistance Corresponding to Local Shear Failure?

Angle of Shearing Resistance Corresponding to Local Shear Failure evaluator uses Angle of Shearing Resistance = atan((3/2)*tan((Angle of Mobilized Friction))) to evaluate the Angle of Shearing Resistance, The Angle of Shearing Resistance Corresponding to Local Shear Failure is defined as the value of angle of shearing resistance when we have prior information of other parameters used. Angle of Shearing Resistance is denoted by φ symbol.

How to evaluate Angle of Shearing Resistance Corresponding to Local Shear Failure using this online evaluator? To use this online evaluator for Angle of Shearing Resistance Corresponding to Local Shear Failure, enter Angle of Mobilized Friction (φ_m) and hit the calculate button.

FAQs on Angle of Shearing Resistance Corresponding to Local Shear Failure

What is the formula to find Angle of Shearing Resistance Corresponding to Local Shear Failure?

The formula of Angle of Shearing Resistance Corresponding to Local Shear Failure is expressed as Angle of Shearing Resistance = atan((3/2)*tan((Angle of Mobilized Friction))). Here is an example- 2952.61 = atan((3/2)*tan((0.698131700797601))).

How to calculate Angle of Shearing Resistance Corresponding to Local Shear Failure?

With Angle of Mobilized Friction (φ_m) we can find Angle of Shearing Resistance Corresponding to Local Shear Failure using the formula - Angle of Shearing Resistance = atan((3/2)*tan((Angle of Mobilized Friction))). This formula also uses Tangent (tan), Inverse Tan (atan) function(s).

Can the Angle of Shearing Resistance Corresponding to Local Shear Failure be negative?

No, the Angle of Shearing Resistance Corresponding to Local Shear Failure, measured in Angle cannot be negative.

Which unit is used to measure Angle of Shearing Resistance Corresponding to Local Shear Failure?

Angle of Shearing Resistance Corresponding to Local Shear Failure is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Angle of Shearing Resistance Corresponding to Local Shear Failure can be measured.

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