Angle of Internal Friction for Soil Calculator

✖Shear Force on Soil is the force which causes shear deformation to occur in the shear plane in soil mechanics.ⓘ Shear Force on Soil [F_s]			+10% -10%
✖Normal Force on Soil is the force which is normal to the shear force in the soil mechanics.ⓘ Normal Force on Soil [Fn]			+10% -10%

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

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Angle of Internal Friction for Soil Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle of Internal Friction = arctan(Shear Force on Soil/Normal Force on Soil)
φ = arctan(F_s/Fn)
This formula uses 3 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)
ctan - Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle., ctan(Angle)
arctan - Inverse trigonometric functions are usually accompanied by the prefix - arc. Mathematically, we represent arctan or the inverse tangent function as tan-1 x or arctan(x)., arctan(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 Force on Soil - (Measured in Newton) - Shear Force on Soil is the force which causes shear deformation to occur in the shear plane in soil mechanics.
Normal Force on Soil - (Measured in Newton) - Normal Force on Soil is the force which is normal to the shear force in the soil mechanics.

STEP 1: Convert Input(s) to Base Unit

Shear Force on Soil: 48.5 Newton --> 48.5 Newton No Conversion Required
Normal Force on Soil: 57.3 Newton --> 57.3 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

φ = arctan(F_s/Fn) --> arctan(48.5/57.3)

Evaluating ... ...

φ = 0.702413377064677

STEP 3: Convert Result to Output's Unit

0.702413377064677 Radian -->40.2453219793449 Degree (Check conversion here)

FINAL ANSWER

40.2453219793449 ≈ 40.24532 Degree <-- Angle of Internal Friction

(Calculation completed in 00.020 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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Angle of Internal Friction for Soil Formula

LaTeX Go

Angle of Internal Friction = arctan(Shear Force on Soil/Normal Force on Soil)
φ = arctan(F_s/Fn)

What is Angle of Internal Friction of Soil?

Angle of internal friction (friction angle) A measure of the ability of a unit of rock or soil to withstand a shear stress. It is the angle (φ), measured between the normal force (N) and resultant force (R), that is attained when failure just occurs in response to a shearing stress (S).

How to Calculate Angle of Internal Friction for Soil?

Angle of Internal Friction for Soil calculator uses Angle of Internal Friction = arctan(Shear Force on Soil/Normal Force on Soil) to calculate the Angle of Internal Friction, The Angle of Internal Friction for Soil is defined as the angle measured between the normal force and resultant force. Angle of Internal Friction is denoted by φ symbol.

How to calculate Angle of Internal Friction for Soil using this online calculator? To use this online calculator for Angle of Internal Friction for Soil, enter Shear Force on Soil (F_s) & Normal Force on Soil (Fn) and hit the calculate button. Here is how the Angle of Internal Friction for Soil calculation can be explained with given input values -> 2305.887 = arctan(48.5/57.3).

FAQ

What is Angle of Internal Friction for Soil?

The Angle of Internal Friction for Soil is defined as the angle measured between the normal force and resultant force and is represented as φ = arctan(F_s/Fn) or Angle of Internal Friction = arctan(Shear Force on Soil/Normal Force on Soil). Shear Force on Soil is the force which causes shear deformation to occur in the shear plane in soil mechanics & Normal Force on Soil is the force which is normal to the shear force in the soil mechanics.

How to calculate Angle of Internal Friction for Soil?

The Angle of Internal Friction for Soil is defined as the angle measured between the normal force and resultant force is calculated using Angle of Internal Friction = arctan(Shear Force on Soil/Normal Force on Soil). To calculate Angle of Internal Friction for Soil, you need Shear Force on Soil (F_s) & Normal Force on Soil (Fn). With our tool, you need to enter the respective value for Shear Force on Soil & Normal Force on Soil 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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