Angle of Internal Friction given Factor of Safety for Cohesive Soil Calculator

✖Shear Stress for Factor of Safety is force is the maximum shear stress that a soil can withstand before failure, considering a safety factor.ⓘ Shear Stress for Factor of Safety [𝜏_Shearstress]			+10% -10%
✖Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.ⓘ Factor of Safety [f_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 Soil is a measure of the shear strength of soil due to friction.ⓘ Angle of Internal Friction given Factor of Safety for Cohesive Soil [Φ_i]

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Angle of Internal Friction given Factor of Safety for Cohesive Soil Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle of Internal Friction of Soil = atan(((Shear Stress for Factor of Safety*Factor of Safety)-Unit Cohesion)/Normal Stress)
Φ_i = atan(((𝜏_Shearstress*f_s)-c_u)/σ_Normal)
This formula uses 2 Functions, 5 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 Soil - (Measured in Radian) - Angle of Internal Friction of Soil is a measure of the shear strength of soil due to friction.
Shear Stress for Factor of Safety - (Measured in Pascal) - Shear Stress for Factor of Safety is force is the maximum shear stress that a soil can withstand before failure, considering a safety factor.
Factor of Safety - Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.
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 Stress for Factor of Safety: 15.909 Pascal --> 15.909 Pascal No Conversion Required
Factor of Safety: 0.88 --> No Conversion Required
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_i = atan(((𝜏_Shearstress*f_s)-c_u)/σ_Normal) --> atan(((15.909*0.88)-10)/0.8)

Evaluating ... ...

Φ_i = 1.3733969207172

STEP 3: Convert Result to Output's Unit

1.3733969207172 Radian -->78.6898471533739 Degree (Check conversion here)

FINAL ANSWER

78.6898471533739 ≈ 78.68985 Degree <-- Angle of Internal Friction of Soil

(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

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 Factor of Safety for Cohesive Soil Formula

LaTeX Go

Angle of Internal Friction of Soil = atan(((Shear Stress for Factor of Safety*Factor of Safety)-Unit Cohesion)/Normal Stress)
Φ_i = atan(((𝜏_Shearstress*f_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 Factor of Safety for Cohesive Soil?

Angle of Internal Friction given Factor of Safety for Cohesive Soil calculator uses Angle of Internal Friction of Soil = atan(((Shear Stress for Factor of Safety*Factor of Safety)-Unit Cohesion)/Normal Stress) to calculate the Angle of Internal Friction of Soil, The Angle of Internal Friction given Factor of Safety for Cohesive Soil formula is defined as the slope's angle at which cohesive soil reaches a factor of safety limit. Angle of Internal Friction of Soil is denoted by Φ_i symbol.

How to calculate Angle of Internal Friction given Factor of Safety for Cohesive Soil using this online calculator? To use this online calculator for Angle of Internal Friction given Factor of Safety for Cohesive Soil, enter Shear Stress for Factor of Safety (𝜏_Shearstress), Factor of Safety (f_s), Unit Cohesion (c_u) & Normal Stress (σ_Normal) and hit the calculate button. Here is how the Angle of Internal Friction given Factor of Safety for Cohesive Soil calculation can be explained with given input values -> -4690.799604 = atan(((15.909*0.88)-10)/0.8).

FAQ

What is Angle of Internal Friction given Factor of Safety for Cohesive Soil?

The Angle of Internal Friction given Factor of Safety for Cohesive Soil formula is defined as the slope's angle at which cohesive soil reaches a factor of safety limit and is represented as Φ_i = atan(((𝜏_Shearstress*f_s)-c_u)/σ_Normal) or Angle of Internal Friction of Soil = atan(((Shear Stress for Factor of Safety*Factor of Safety)-Unit Cohesion)/Normal Stress). Shear Stress for Factor of Safety is force is the maximum shear stress that a soil can withstand before failure, considering a safety factor, Factor of Safety expresses how much stronger a system is than it needs to be for an intended load, 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 Factor of Safety for Cohesive Soil?

The Angle of Internal Friction given Factor of Safety for Cohesive Soil formula is defined as the slope's angle at which cohesive soil reaches a factor of safety limit is calculated using Angle of Internal Friction of Soil = atan(((Shear Stress for Factor of Safety*Factor of Safety)-Unit Cohesion)/Normal Stress). To calculate Angle of Internal Friction given Factor of Safety for Cohesive Soil, you need Shear Stress for Factor of Safety (𝜏_Shearstress), Factor of Safety (f_s), Unit Cohesion (c_u) & Normal Stress (σ_Normal). With our tool, you need to enter the respective value for Shear Stress for Factor of Safety, Factor of Safety, 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.

How many ways are there to calculate Angle of Internal Friction of Soil?

In this formula, Angle of Internal Friction of Soil uses Shear Stress for Factor of Safety, Factor of Safety, Unit Cohesion & Normal Stress. We can use 1 other way(s) to calculate the same, which is/are as follows -

Angle of Internal Friction of Soil = atan((Shear Strength/Shear Stress)*tan((Angle of Inclination)))

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