Shear Strength of Soil given Angle of Internal Friction 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%
✖Angle of Internal Friction of Soil is a measure of the shear strength of soil due to friction.ⓘ Angle of Internal Friction of Soil [Φ_i]			+10% -10%
✖Angle of Inclination is the angle measured from the horizontal surface of the wall or any object.ⓘ Angle of Inclination [I]			+10% -10%

✖Shear Strength of Soil is the maximum shear stress that a soil can withstand without undergoing failure or excessive deformation.ⓘ Shear Strength of Soil given Angle of Internal Friction [τ_soil]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Stability Analysis of Infinite Slopes Formulas PDF PDF Image

Shear Strength of Soil given Angle of Internal Friction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Strength of Soil = (Shear Stress for Factor of Safety*(tan(Angle of Internal Friction of Soil)/tan(Angle of Inclination)))
τ_soil = (𝜏_Shearstress*(tan(Φ_i)/tan(I)))
This formula uses 1 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)

Variables Used

Shear Strength of Soil - (Measured in Megapascal) - Shear Strength of Soil is the maximum shear stress that a soil can withstand without undergoing failure or excessive deformation.
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.
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.
Angle of Inclination - (Measured in Radian) - Angle of Inclination is the angle measured from the horizontal surface of the wall or any object.

STEP 1: Convert Input(s) to Base Unit

Shear Stress for Factor of Safety: 15.909 Pascal --> 15.909 Pascal No Conversion Required
Angle of Internal Friction of Soil: 78.69 Degree --> 1.37339958839408 Radian (Check conversion here)
Angle of Inclination: 80 Degree --> 1.3962634015952 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ_soil = (𝜏_Shearstress*(tan(Φ_i)/tan(I))) --> (15.909*(tan(1.37339958839408)/tan(1.3962634015952)))

Evaluating ... ...

τ_soil = 14.0258437235657

STEP 3: Convert Result to Output's Unit

14025843.7235657 Pascal -->14.0258437235657 Megapascal (Check conversion here)

FINAL ANSWER

14.0258437235657 ≈ 14.02584 Megapascal <-- Shear Strength of Soil

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Geotechnical Engineering » Stability Analysis of Infinite Slopes » Shear Strength of Soil given Angle of Internal Friction

Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2100+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 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)

Shear Strength of Soil given Angle of Internal Friction Formula

LaTeX Go

Shear Strength of Soil = (Shear Stress for Factor of Safety*(tan(Angle of Internal Friction of Soil)/tan(Angle of Inclination)))
τ_soil = (𝜏_Shearstress*(tan(Φ_i)/tan(I)))

What is Shear Strength?

Shear strength is the strength of a material or component against the type of yield or structural failure when the material or component fails in shear. A shear load is a force that tends to produce a sliding failure on a material along a plane that is parallel to the direction of the force.

How to Calculate Shear Strength of Soil given Angle of Internal Friction?

Shear Strength of Soil given Angle of Internal Friction calculator uses Shear Strength of Soil = (Shear Stress for Factor of Safety*(tan(Angle of Internal Friction of Soil)/tan(Angle of Inclination))) to calculate the Shear Strength of Soil, The Shear Strength of Soil given Angle of Internal Friction formula is defined as resistance to sliding along internal planes, determined by the angle of internal friction. Shear Strength of Soil is denoted by τ_soil symbol.

How to calculate Shear Strength of Soil given Angle of Internal Friction using this online calculator? To use this online calculator for Shear Strength of Soil given Angle of Internal Friction, enter Shear Stress for Factor of Safety (𝜏_Shearstress), Angle of Internal Friction of Soil (Φ_i) & Angle of Inclination (I) and hit the calculate button. Here is how the Shear Strength of Soil given Angle of Internal Friction calculation can be explained with given input values -> 1.4E-5 = (15.909*(tan(1.37339958839408)/tan(1.3962634015952))).

FAQ

What is Shear Strength of Soil given Angle of Internal Friction?

The Shear Strength of Soil given Angle of Internal Friction formula is defined as resistance to sliding along internal planes, determined by the angle of internal friction and is represented as τ_soil = (𝜏_Shearstress*(tan(Φ_i)/tan(I))) or Shear Strength of Soil = (Shear Stress for Factor of Safety*(tan(Angle of Internal Friction of Soil)/tan(Angle of Inclination))). Shear Stress for Factor of Safety is force is the maximum shear stress that a soil can withstand before failure, considering a safety factor, Angle of Internal Friction of Soil is a measure of the shear strength of soil due to friction & Angle of Inclination is the angle measured from the horizontal surface of the wall or any object.

How to calculate Shear Strength of Soil given Angle of Internal Friction?

The Shear Strength of Soil given Angle of Internal Friction formula is defined as resistance to sliding along internal planes, determined by the angle of internal friction is calculated using Shear Strength of Soil = (Shear Stress for Factor of Safety*(tan(Angle of Internal Friction of Soil)/tan(Angle of Inclination))). To calculate Shear Strength of Soil given Angle of Internal Friction, you need Shear Stress for Factor of Safety (𝜏_Shearstress), Angle of Internal Friction of Soil (Φ_i) & Angle of Inclination (I). With our tool, you need to enter the respective value for Shear Stress for Factor of Safety, Angle of Internal Friction of Soil & Angle of Inclination and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search