Shear Stress of Soil given Angle of Internal Friction Calculator

✖Shear Strength is the strength of a material against structural failure when the material fails in shear.ⓘ Shear Strength [τ_s]			+10% -10%
✖Angle of Internal Friction is the angle measured between the normal force and resultant force.ⓘ Angle of Internal Friction [φ]			+10% -10%
✖Angle of Inclination is the angle measured from the horizontal surface of the wall or any object.ⓘ Angle of Inclination [I]			+10% -10%

✖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.ⓘ Shear Stress of Soil given Angle of Internal Friction [𝜏_i]

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Formula

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Shear Stress of Soil given Angle of Internal Friction

Formula

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

Example

6.240498 Pa = \frac{1.2 MPa}{\frac{\tan ((47.48 °))}{\tan ((80 °))}}

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Shear Stress of Soil given Angle of Internal Friction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress given Angle of Internal Friction = Shear Strength/(tan((Angle of Internal Friction))/tan((Angle of Inclination)))
𝜏_i = τ_s/(tan((φ))/tan((I)))
This formula uses 1 Functions, 4 Variables

Functions Used

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., tan(Angle)

Variables Used

Shear Stress given Angle of Internal Friction - (Measured in Pascal) - 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.
Shear Strength - (Measured in Megapascal) - Shear Strength is the strength of a material against structural failure when the material fails in shear.
Angle of Internal Friction - (Measured in Radian) - Angle of Internal Friction is the angle measured between the normal force and resultant force.
Angle of Inclination - (Measured in Radian) - Angle of Inclination is the angle measured from the horizontal surface of the wall or any object.

STEP 1: Convert Input(s) to Base Unit

Shear Strength: 1.2 Megapascal --> 1.2 Megapascal No Conversion Required
Angle of Internal Friction: 47.48 Degree --> 0.828682328846752 Radian (Check conversion here)
Angle of Inclination: 80 Degree --> 1.3962634015952 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏_i = τ_s/(tan((φ))/tan((I))) --> 1.2/(tan((0.828682328846752))/tan((1.3962634015952)))

Evaluating ... ...

𝜏_i = 6.24049846002945

STEP 3: Convert Result to Output's Unit

6.24049846002945 Pascal --> No Conversion Required

FINAL ANSWER

6.24049846002945 ≈ 6.240498 Pascal <-- Shear Stress given Angle of Internal Friction

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Stability Analysis of Infinite Slopes Calculators

Normal Stress given Shear Stress of Cohesionless Soil

Go Normal Stress in Mega Pascal = Shear Stress for Factor of Safety*cot((Angle of Inclination))

Normal Stress given Shear Strength of Cohesionless Soil

Go Normal Stress in Mega Pascal = Shear Strength/tan((Angle of Internal Friction))

Shear Strength of Cohesionless Soil

Go Shear Strength = Normal Stress in Mega Pascal*tan((Angle of Internal Friction))

Angle of Internal Friction given Shear Strength of Cohesionless Soil

Go Angle of Internal Friction = atan(Shear Strength/Normal Stress in Mega Pascal)

Shear Stress of Soil given Angle of Internal Friction Formula

Shear Stress given Angle of Internal Friction = Shear Strength/(tan((Angle of Internal Friction))/tan((Angle of Inclination)))
𝜏_i = τ_s/(tan((φ))/tan((I)))

What is Shear Stress?

Shear stress, often denoted by τ (Greek: tau), is the component of stress coplanar with a material cross section. It arises from the shear force, the component of force vector parallel to the material cross section. Normal stress, on the other hand.

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

Shear Stress of Soil given Angle of Internal Friction calculator uses Shear Stress given Angle of Internal Friction = Shear Strength/(tan((Angle of Internal Friction))/tan((Angle of Inclination))) to calculate 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 calculate Shear Stress of Soil given Angle of Internal Friction using this online calculator? To use this online calculator 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. Here is how the Shear Stress of Soil given Angle of Internal Friction calculation can be explained with given input values -> 6.240498 = 1200000/(tan((0.828682328846752))/tan((1.3962634015952))).

FAQ

What is Shear Stress of Soil 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 and is represented as 𝜏_i = τ_s/(tan((φ))/tan((I))) or Shear Stress given Angle of Internal Friction = Shear Strength/(tan((Angle of Internal Friction))/tan((Angle of Inclination))). Shear Strength is the strength of a material against structural failure when the material fails in shear, Angle of Internal Friction is the angle measured between the normal force and resultant force & Angle of Inclination is the angle measured from the horizontal surface of the wall or any object.

How to calculate Shear Stress of Soil 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 is calculated using Shear Stress given Angle of Internal Friction = Shear Strength/(tan((Angle of Internal Friction))/tan((Angle of Inclination))). To calculate Shear Stress of Soil given Angle of Internal Friction, you need Shear Strength (τ_s), Angle of Internal Friction (φ) & Angle of Inclination (I). With our tool, you need to enter the respective value for Shear Strength, Angle of Internal Friction & Angle of Inclination and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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