Angle of Internal Friction given Effective Normal Stress Calculator

✖Factor of Safety in Soil Mechanics expresses how much stronger a system is than it needs to be for an intended load.ⓘ Factor of Safety in Soil Mechanics [F_s]			+10% -10%
✖Shear Stress of Soil in Megapascal is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress of Soil in Megapascal [ζ_soil]			+10% -10%
✖Effective Normal Stress of soil in Megapascal is related to total stress and pore pressure.ⓘ Effective Normal Stress of Soil in Megapascal [σ_effn]			+10% -10%

✖Angle of Internal Friction of Soil is is a measure of the shear strength of soil due to friction.ⓘ Angle of Internal Friction given Effective Normal Stress [Φ_i]

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Angle of Internal Friction given Effective Normal Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle of Internal Friction of Soil = atan((Factor of Safety in Soil Mechanics*Shear Stress of Soil in Megapascal)/Effective Normal Stress of Soil in Megapascal)
Φ_i = atan((F_s*ζ_soil)/σ_effn)
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 Soil - (Measured in Radian) - Angle of Internal Friction of Soil is is a measure of the shear strength of soil due to friction.
Factor of Safety in Soil Mechanics - Factor of Safety in Soil Mechanics expresses how much stronger a system is than it needs to be for an intended load.
Shear Stress of Soil in Megapascal - (Measured in Pascal) - Shear Stress of Soil in Megapascal is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
Effective Normal Stress of Soil in Megapascal - (Measured in Pascal) - Effective Normal Stress of soil in Megapascal is related to total stress and pore pressure.

STEP 1: Convert Input(s) to Base Unit

Factor of Safety in Soil Mechanics: 2.8 --> No Conversion Required
Shear Stress of Soil in Megapascal: 250.09 Megapascal --> 250090000 Pascal (Check conversion here)
Effective Normal Stress of Soil in Megapascal: 163.23 Megapascal --> 163230000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Φ_i = atan((F_s*ζ_soil)/σ_effn) --> atan((2.8*250090000)/163230000)

Evaluating ... ...

Φ_i = 1.34178398550847

STEP 3: Convert Result to Output's Unit

1.34178398550847 Radian -->76.8785593878928 Degree (Check conversion here)

FINAL ANSWER

76.8785593878928 ≈ 76.87856 Degree <-- Angle of Internal Friction of 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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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Slope Stability Analysis using Culman's Method Calculators

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Height of Wedge of Soil given Weight of Wedge

LaTeX Go Height of Wedge = Weight of Wedge in Kilonewton/((Length of Slip Plane*Unit Weight of Soil)/2)

Mobilized Cohesion given Cohesive Force along Slip Plane

LaTeX Go Mobilized Cohesion in Soil Mechanics = Cohesive Force in KN/Length of Slip Plane

Cohesive Force along Slip Plane

LaTeX Go Cohesive Force in KN = Mobilized Cohesion in Soil Mechanics*Length of Slip Plane

Angle of Internal Friction given Effective Normal Stress Formula

LaTeX Go

Angle of Internal Friction of Soil = atan((Factor of Safety in Soil Mechanics*Shear Stress of Soil in Megapascal)/Effective Normal Stress of Soil in Megapascal)
Φ_i = atan((F_s*ζ_soil)/σ_effn)

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 Effective Normal Stress?

Angle of Internal Friction given Effective Normal Stress calculator uses Angle of Internal Friction of Soil = atan((Factor of Safety in Soil Mechanics*Shear Stress of Soil in Megapascal)/Effective Normal Stress of Soil in Megapascal) to calculate the Angle of Internal Friction of Soil, The Angle of Internal Friction given Effective Normal Stress is defined as the value of angle of internal friction when we have prior information of other parameters used. Angle of Internal Friction of Soil is denoted by Φ_i symbol.

How to calculate Angle of Internal Friction given Effective Normal Stress using this online calculator? To use this online calculator for Angle of Internal Friction given Effective Normal Stress, enter Factor of Safety in Soil Mechanics (F_s), Shear Stress of Soil in Megapascal (ζ_soil) & Effective Normal Stress of Soil in Megapascal (σ_effn) and hit the calculate button. Here is how the Angle of Internal Friction given Effective Normal Stress calculation can be explained with given input values -> 4404.817 = atan((2.8*250090000)/163230000).

FAQ

What is Angle of Internal Friction given Effective Normal Stress?

The Angle of Internal Friction given Effective Normal Stress is defined as the value of angle of internal friction when we have prior information of other parameters used and is represented as Φ_i = atan((F_s*ζ_soil)/σ_effn) or Angle of Internal Friction of Soil = atan((Factor of Safety in Soil Mechanics*Shear Stress of Soil in Megapascal)/Effective Normal Stress of Soil in Megapascal). Factor of Safety in Soil Mechanics expresses how much stronger a system is than it needs to be for an intended load, Shear Stress of Soil in Megapascal is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress & Effective Normal Stress of soil in Megapascal is related to total stress and pore pressure.

How to calculate Angle of Internal Friction given Effective Normal Stress?

The Angle of Internal Friction given Effective Normal Stress is defined as the value of angle of internal friction when we have prior information of other parameters used is calculated using Angle of Internal Friction of Soil = atan((Factor of Safety in Soil Mechanics*Shear Stress of Soil in Megapascal)/Effective Normal Stress of Soil in Megapascal). To calculate Angle of Internal Friction given Effective Normal Stress, you need Factor of Safety in Soil Mechanics (F_s), Shear Stress of Soil in Megapascal (ζ_soil) & Effective Normal Stress of Soil in Megapascal (σ_effn). With our tool, you need to enter the respective value for Factor of Safety in Soil Mechanics, Shear Stress of Soil in Megapascal & Effective Normal Stress of Soil in Megapascal 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 Factor of Safety in Soil Mechanics, Shear Stress of Soil in Megapascal & Effective Normal Stress of Soil in Megapascal. We can use 1 other way(s) to calculate the same, which is/are as follows -

Angle of Internal Friction of Soil = atan((Factor of Safety in Soil Mechanics-(Cohesion of Soil/((1/2)*Unit Weight of Soil*Height from Toe of Wedge to Top of Wedge*(sin(((Angle of Inclination in Soil Mechanics-Slope Angle in Soil Mechanics)*pi)/180)/sin((Angle of Inclination in Soil Mechanics*pi)/180))*sin((Slope Angle in Soil Mechanics*pi)/180))))*tan((Slope Angle in Soil Mechanics*pi)/180))

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