Angle of Internal Friction given Shear Strength of Cohesionless Soil Calculator

✖Shear Strength is the strength of a material against structural failure when the material fails in shear.ⓘ Shear Strength [τ_s]			+10% -10%
✖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.ⓘ Normal Stress in Mega Pascal [σ_nm]			+10% -10%

✖Angle of Internal Friction is the angle measured between the normal force and resultant force.ⓘ Angle of Internal Friction given Shear Strength of Cohesionless Soil [φ]

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Angle of Internal Friction given Shear Strength of Cohesionless Soil Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle of Internal Friction = atan(Shear Strength/Normal Stress in Mega Pascal)
φ = atan(τ_s/σ_nm)
This formula uses 2 Functions, 3 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)
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., atan(Number)

Variables Used

Angle of Internal Friction - (Measured in Radian) - Angle of Internal Friction is the angle measured between the normal force and resultant force.
Shear Strength - (Measured in Megapascal) - Shear Strength is the strength of a material against structural failure when the material fails in shear.
Normal Stress in Mega Pascal - (Measured in Megapascal) - 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.

STEP 1: Convert Input(s) to Base Unit

Shear Strength: 1.2 Megapascal --> 1.2 Megapascal No Conversion Required
Normal Stress in Mega Pascal: 1.1 Megapascal --> 1.1 Megapascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

φ = atan(τ_s/σ_nm) --> atan(1.2/1.1)

Evaluating ... ...

φ = 0.828849058788979

STEP 3: Convert Result to Output's Unit

0.828849058788979 Radian -->47.4895529220081 Degree (Check conversion here)

FINAL ANSWER

47.4895529220081 ≈ 47.48955 Degree <-- 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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Verified by Ishita Goyal

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

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

Normal Stress given Shear Strength of Cohesionless Soil

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

Shear Strength of Cohesionless Soil

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

Angle of Internal Friction given Shear Strength of Cohesionless Soil

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

Angle of Internal Friction given Shear Strength of Cohesionless Soil Formula

LaTeX Go

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

What is Angle of Internal Friction?

The angle of internal friction is a physical property of earth materials or the slope of a linear representation of the shear strength of earth materials.

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

Angle of Internal Friction given Shear Strength of Cohesionless Soil calculator uses Angle of Internal Friction = atan(Shear Strength/Normal Stress in Mega Pascal) to calculate 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 calculate Angle of Internal Friction given Shear Strength of Cohesionless Soil using this online calculator? To use this online calculator 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. Here is how the Angle of Internal Friction given Shear Strength of Cohesionless Soil calculation can be explained with given input values -> 2720.951 = atan(1200000/1100000).

FAQ

What is Angle of Internal Friction given Shear Strength of Cohesionless Soil?

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 and is represented as φ = atan(τ_s/σ_nm) or Angle of Internal Friction = atan(Shear Strength/Normal Stress in Mega Pascal). Shear Strength is the strength of a material against structural failure when the material fails in shear & 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.

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

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 is calculated using Angle of Internal Friction = atan(Shear Strength/Normal Stress in Mega Pascal). To calculate Angle of Internal Friction given Shear Strength of Cohesionless Soil, you need Shear Strength (τ_s) & Normal Stress in Mega Pascal (σ_nm). With our tool, you need to enter the respective value for Shear Strength & Normal Stress in Mega Pascal 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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