✖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]

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Formula

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Shear Strength of Soil given Angle of Internal Friction

Formula

`"τ"_{"soil"} = ("𝜏"_{"Shearstress"}*(tan("Φ"_{"i"})/tan("I")))`

Example

`"14.02584MPa"=("15.909Pa"*(tan("78.69°")/tan("80°")))`

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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 00.020 seconds)

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< 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 at a Point in Soil*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 at a Point in Soil*tan((Angle of Internal Friction)))

Shear Strength of Soil given Angle of Internal Friction

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

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 of Soil given Angle of Internal Friction

Go Shear Stress given Angle of Internal Friction = Shear Strength/(tan((Angle of Internal Friction))/tan((Angle of Inclination)))

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

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

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

Unit Weight of Soil given Mobilized Cohesion

Go Unit Weight of Soil = (Mobilized Cohesion for Cohesive Soil/(Stability Number*Depth at Mobilized Cohesion))

Depth at Mobilized Cohesion

Go Depth at Mobilized Cohesion = (Mobilized Cohesion for Cohesive Soil/(Unit Weight of Soil*Stability Number))

Mobilized Cohesion given Stability Number for Cohesive Soil

Go Mobilized Cohesion for Cohesive Soil = (Stability Number*Unit Weight of Soil*Depth at Mobilized Cohesion)

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))

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 Mobilized Cohesion

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

Mobilized Cohesion

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

Shear Strength of Soil given Angle of Internal Friction Formula

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.

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