Shear Stress of Soil given Angle of Internal Friction Calculator

✖Shear Strength is the strength of a material against structural failure when the material fails in shear.ⓘ Shear Strength [τ_s]			+10% -10%
✖Angle of Internal Friction is the angle measured between the normal force and resultant force .ⓘ Angle of Internal Friction [φ]			+10% -10%
✖Angle of Inclination is defined as the angle measured from the horizontal surface of the wall or any object.ⓘ Angle of Inclination [I]			+10% -10%

✖Shear Stress for Factor of Safety 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 given Angle of Internal Friction [𝜏_Shearstress]

⎘ Copy

👎

Formula

✖

Shear Stress of Soil given Angle of Internal Friction

Formula

`"𝜏"_{"Shearstress"} = "τ"_{"s"}/(tan(("φ"))/tan(("I")))`

Example

`"6.572032Pa"="1.2MPa"/(tan(("46°"))/tan(("80°")))`

Calculator

LaTeX

Reset

👍

Download Geotechnical Engineering Formula PDF PDF Image

Shear Stress of Soil given Angle of Internal Friction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress for Factor of Safety = Shear Strength/(tan((Angle of Internal Friction))/tan((Angle of Inclination)))
𝜏_Shearstress = τ_s/(tan((φ))/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 Stress for Factor of Safety - (Measured in Pascal) - Shear Stress for Factor of Safety is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
Shear Strength - (Measured in Megapascal) - Shear Strength is the strength of a material against structural failure when the material fails in shear.
Angle of Internal Friction - (Measured in Radian) - Angle of Internal Friction is the angle measured between the normal force and resultant force .
Angle of Inclination - (Measured in Radian) - Angle of Inclination is defined as the angle measured from the horizontal surface of the wall or any object.

STEP 1: Convert Input(s) to Base Unit

Shear Strength: 1.2 Megapascal --> 1.2 Megapascal No Conversion Required
Angle of Internal Friction: 46 Degree --> 0.802851455917241 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_Shearstress = τ_s/(tan((φ))/tan((I))) --> 1.2/(tan((0.802851455917241))/tan((1.3962634015952)))

Evaluating ... ...

𝜏_Shearstress = 6.57203183035856

STEP 3: Convert Result to Output's Unit

6.57203183035856 Pascal --> No Conversion Required

FINAL ANSWER

6.57203183035856 ≈ 6.572032 Pascal <-- Shear Stress for Factor of Safety

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Geotechnical Engineering » Stability Analysis of Infinite Slopes » Shear Stress 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 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!

< 25 Stability Analysis of Infinite Slopes Calculators

Unit Weight of Soil given Critical Depth for Cohesive Soil

Go Unit Weight of Soil = Cohesion of Soil/(Critical Depth*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2)

Cohesion given Critical Depth for Cohesive Soil

Go Cohesion of Soil = (Critical Depth*Unit Weight of Soil*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2)

Critical Depth for Cohesive Soil

Go Critical Depth = Cohesion of Soil/(Unit Weight of Soil*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2)

Cohesion given Shear Strength of Cohesive Soil

Go Cohesion of Soil = Shear Strength in KN per Cubic Meter-(Normal Stress in Soil Mechanics*tan((Angle of Internal Friction of Soil*pi)/180))

Cohesion of Soil given Factor of Safety for Cohesive Soil

Go Cohesion of Soil = (Shear Stress in Cohesive Soil*Factor of Safety)-(Normal Stress in Soil Mechanics*tan((Angle of Internal Friction)))

Normal Stress given Factor of Safety for Cohesive Soil

Go Normal Stress = ((Shear Stress for Factor of Safety*Factor of Safety)-Unit Cohesion)/tan((Angle of Internal Friction of Soil))

Shear Stress given Factor of Safety for Cohesive Soil

Go Shear Stress for Factor of Safety = (Unit Cohesion+(Normal Stress*tan((Angle of Internal Friction of Soil))))/Factor of Safety

Shear Strength of Soil given Angle of Internal Friction

Go Shear Strength = (Shear Stress for Factor of Safety*(tan(Angle of Internal Friction of Soil)/tan(Angle of Inclination)))

Shear Stress of Soil given Angle of Internal Friction

Go Shear Stress for Factor of Safety = Shear Strength/(tan((Angle of Internal Friction))/tan((Angle of Inclination)))

Angle of Internal Friction given Shear Strength of Soil

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

Normal Stress given Shear Strength of Cohesive Soil

Go Normal Stress in Mega Pascal = (Shear Strength-Cohesion of Soil)/tan((Angle of Internal Friction))

Shear Strength of Cohesive Soil

Go Shear Strength = Cohesion of Soil+(Normal Stress in Mega Pascal*tan((Angle of Internal Friction)))

Factor of Safety against Sliding given Angle of Internal Friction

Go Factor of Safety = (tan((Angle of Internal Friction of Soil))/tan((Angle of Inclination)))

Unit Weight of Soil given Stability Number for Cohesive Soil

Go Unit Weight of Soil = (Cohesion of Soil/(Stability Number*Critical Depth for Stability Number))

Critical Depth given Stability Number for Cohesive Soil

Go Critical Depth for Stability Number = (Cohesion of Soil/(Unit Weight of Soil*Stability Number))

Cohesion given Stability Number for Cohesive Soil

Go Cohesion of Soil = Stability Number*(Unit Weight of Soil*Critical Depth for Stability Number)

Normal Stress given Shear Stress of Cohesionless Soil

Go Normal Stress in Mega Pascal = Shear Stress for Factor of Safety*cot((Angle of Inclination))

Unit Weight of Soil given Mobilised Cohesion

Go Unit Weight of Soil = (Mobilised Cohesion/(Stability Number*Depth at Mobilised Cohesion))

Depth at Mobilised Cohesion

Go Depth at Mobilised Cohesion = (Mobilised Cohesion/(Unit Weight of Soil*Stability Number))

Mobilised Cohesion given Stability Number for Cohesive Soil

Go Mobilised Cohesion = (Stability Number*Unit Weight of Soil*Depth at Mobilised Cohesion)

Normal Stress given Shear Strength of Cohesionless Soil

Go Normal Stress in Mega Pascal = Shear Strength/tan((Angle of Internal Friction))

Shear Strength of Cohesionless Soil

Go Shear Strength = Normal Stress in Mega Pascal*tan((Angle of Internal Friction))

Angle of Internal Friction given Shear Strength of Cohesionless Soil

Go Angle of Internal Friction = atan(Shear Strength/Normal Stress in Mega Pascal)

Cohesion of Soil given Mobilised Cohesion

Go Cohesion of Soil = Mobilised Cohesion*Factor of Safety with respect to Cohesion

Mobilised Cohesion

Go Mobilised Cohesion = Cohesion of Soil/Factor of Safety with respect to Cohesion

Shear Stress of Soil given Angle of Internal Friction Formula

Shear Stress for Factor of Safety = Shear Strength/(tan((Angle of Internal Friction))/tan((Angle of Inclination)))
𝜏_Shearstress = τ_s/(tan((φ))/tan((I)))

What is Shear Stress?

Shear stress, often denoted by τ (Greek: tau), is the component of stress coplanar with a material cross section. It arises from the shear force, the component of force vector parallel to the material cross section. Normal stress, on the other hand.

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

Shear Stress of Soil given Angle of Internal Friction calculator uses Shear Stress for Factor of Safety = Shear Strength/(tan((Angle of Internal Friction))/tan((Angle of Inclination))) to calculate the Shear Stress for Factor of Safety, The Shear Stress of Soil given Angle of Internal Friction is defined as the force parallel to surfaces divided by the area, determined by the soil's internal friction angle. Shear Stress for Factor of Safety is denoted by 𝜏_Shearstress symbol.

How to calculate Shear Stress of Soil given Angle of Internal Friction using this online calculator? To use this online calculator for Shear Stress of Soil given Angle of Internal Friction, enter Shear Strength (τ_s), Angle of Internal Friction (φ) & Angle of Inclination (I) and hit the calculate button. Here is how the Shear Stress of Soil given Angle of Internal Friction calculation can be explained with given input values -> 6.572032 = 1200000/(tan((0.802851455917241))/tan((1.3962634015952))).

FAQ

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

The Shear Stress of Soil given Angle of Internal Friction is defined as the force parallel to surfaces divided by the area, determined by the soil's internal friction angle and is represented as 𝜏_Shearstress = τ_s/(tan((φ))/tan((I))) or Shear Stress for Factor of Safety = Shear Strength/(tan((Angle of Internal Friction))/tan((Angle of Inclination))). Shear Strength is the strength of a material against structural failure when the material fails in shear, Angle of Internal Friction is the angle measured between the normal force and resultant force & Angle of Inclination is defined as the angle measured from the horizontal surface of the wall or any object.

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

The Shear Stress of Soil given Angle of Internal Friction is defined as the force parallel to surfaces divided by the area, determined by the soil's internal friction angle is calculated using Shear Stress for Factor of Safety = Shear Strength/(tan((Angle of Internal Friction))/tan((Angle of Inclination))). To calculate Shear Stress of Soil given Angle of Internal Friction, you need Shear Strength (τ_s), Angle of Internal Friction (φ) & Angle of Inclination (I). With our tool, you need to enter the respective value for Shear Strength, Angle of Internal Friction & Angle of Inclination 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 Shear Stress for Factor of Safety?

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

Shear Stress for Factor of Safety = (Unit Cohesion+(Normal Stress*tan((Angle of Internal Friction of Soil))))/Factor of Safety

Home

FREE PDFs

🔍 Search