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(Fs/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(Fs/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)

Credits

Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
Suraj Kumar has created this Calculator and 2200+ more calculators!
Verified by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
Ishita Goyal has verified this Calculator and 2600+ more calculators!

16 Atterberg Limits Calculators

Angle of Internal Friction for Soil
Go Angle of Internal Friction = arctan(Shear Force on Soil/Normal Force on Soil)
Moisture Content of Soil given Liquidity Index
Go Water Content of Soil = ((Liquidity Index*Plasticity Index)+Plastic Limit)
Plasticity Index of Soil given Liquidity Index
Go Plasticity Index = (Water Content of Soil-Plastic Limit)/Liquidity Index
Liquidity Index of Soil
Go Liquidity Index = (Water Content of Soil-Plastic Limit)/Plasticity Index
Shearing Force on Plane when Sliding on Plane is Impending
Go Shear Force on Soil = (Normal Force on Soil*Coefficient of Internal Friction)
Normal Force on given Plane in Cohesionless Soil
Go Normal Force on Soil = (Shear Force on Soil/Coefficient of Internal Friction)
Coefficient of Internal Friction for Soil
Go Coefficient of Internal Friction = (Shear Force on Soil/Total Normal Force)
Percent of Soil Finer than Clay Size given Activity Index
Go Percentage of Clay Fraction = (Plasticity Index/Activity Index)
Plasticity Index of Soil given Activity Index
Go Plasticity Index = (Activity Index*Percentage of Clay Fraction)
Activity Index of Soil
Go Activity Index = (Plasticity Index/Percentage of Clay Fraction)
Shrinkage Limit of Soil given Shrinkage Index
Go Shrinkage Limit = (Plastic Limit-Shrinkage Index)
Plastic Limit of Soil given Shrinkage Index
Go Plastic Limit = (Shrinkage Index+Shrinkage Limit)
Shrinkage Index of Soil
Go Shrinkage Index = (Plastic Limit-Shrinkage Limit)
Plastic Limit of Soil given Plasticity Index
Go Plastic Limit = Liquid Limit-Plasticity Index
Liquid Limit of Soil given Plasticity Index
Go Liquid Limit = Plasticity Index+Plastic Limit
Plasticity Index of Soil
Go Plasticity Index = Liquid Limit-Plastic Limit

Angle of Internal Friction for Soil Formula

Angle of Internal Friction = arctan(Shear Force on Soil/Normal Force on Soil)
φ = arctan(Fs/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 (Fs) & 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(Fs/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 (Fs) & 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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!