Angle of Internal Friction given Shear Strength of Cohesive 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%
✖Unit Cohesion is the shear strength of soil due to interparticle bonding and cementation.ⓘ Unit Cohesion [c_u]			+10% -10%
✖Normal Stress is the stress component that acts perpendicular to the plane of interest within a soil mass or structure.ⓘ Normal Stress [σ_Normal]			+10% -10%

✖Angle of Internal Friction of Cohesive Soil is a measure of the shear strength of soil due to friction in cohesive soil.ⓘ Angle of Internal Friction given Shear Strength of Cohesive Soil [Φ_c]

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Angle of Internal Friction given Shear Strength of Cohesive Soil Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle of Internal Friction of Cohesive Soil = atan((Shear Strength-Unit Cohesion)/Normal Stress)
Φ_c = atan((τ_s-c_u)/σ_Normal)
This formula uses 2 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)
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 of Cohesive Soil - (Measured in Radian) - Angle of Internal Friction of Cohesive Soil is a measure of the shear strength of soil due to friction in cohesive soil.
Shear Strength - (Measured in Pascal) - Shear Strength is the strength of a material against structural failure when the material fails in shear.
Unit Cohesion - (Measured in Pascal) - Unit Cohesion is the shear strength of soil due to interparticle bonding and cementation.
Normal Stress - (Measured in Pascal) - Normal Stress is the stress component that acts perpendicular to the plane of interest within a soil mass or structure.

STEP 1: Convert Input(s) to Base Unit

Shear Strength: 1.2 Megapascal --> 1200000 Pascal (Check conversion here)
Unit Cohesion: 10 Pascal --> 10 Pascal No Conversion Required
Normal Stress: 0.8 Pascal --> 0.8 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Φ_c = atan((τ_s-c_u)/σ_Normal) --> atan((1200000-10)/0.8)

Evaluating ... ...

Φ_c = 1.57079566012267

STEP 3: Convert Result to Output's Unit

1.57079566012267 Radian -->89.9999618025123 Degree (Check conversion here)

FINAL ANSWER

89.9999618025123 ≈ 89.99996 Degree <-- Angle of Internal Friction of Cohesive Soil

(Calculation completed in 00.007 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 Cohesive Soil Formula

LaTeX Go

Angle of Internal Friction of Cohesive Soil = atan((Shear Strength-Unit Cohesion)/Normal Stress)
Φ_c = atan((τ_s-c_u)/σ_Normal)

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 Cohesive Soil?

Angle of Internal Friction given Shear Strength of Cohesive Soil calculator uses Angle of Internal Friction of Cohesive Soil = atan((Shear Strength-Unit Cohesion)/Normal Stress) to calculate 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 calculate Angle of Internal Friction given Shear Strength of Cohesive Soil using this online calculator? To use this online calculator 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. Here is how the Angle of Internal Friction given Shear Strength of Cohesive Soil calculation can be explained with given input values -> 1.570796 = atan((1200000-10)/0.8).

FAQ

What is Angle of Internal Friction given Shear Strength 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 and is represented as Φ_c = atan((τ_s-c_u)/σ_Normal) or Angle of Internal Friction of Cohesive Soil = atan((Shear Strength-Unit Cohesion)/Normal Stress). Shear Strength is the strength of a material against structural failure when the material fails in shear, Unit Cohesion is the shear strength of soil due to interparticle bonding and cementation & Normal Stress is the stress component that acts perpendicular to the plane of interest within a soil mass or structure.

How to calculate Angle of Internal Friction given Shear Strength 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 is calculated using Angle of Internal Friction of Cohesive Soil = atan((Shear Strength-Unit Cohesion)/Normal Stress). To calculate Angle of Internal Friction given Shear Strength of Cohesive Soil, you need Shear Strength (τ_s), Unit Cohesion (c_u) & Normal Stress (σ_Normal). With our tool, you need to enter the respective value for Shear Strength, Unit Cohesion & Normal Stress 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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