✖Normal Stress in Mega Pascal is the stress component that acts perpendicular to the plane of interest within a soil mass measure in mega pascal.ⓘ Normal Stress in Mega Pascal [σ_nm]			+10% -10%
✖Angle of Internal Friction is the angle measured between the normal force and resultant force.ⓘ Angle of Internal Friction [φ]			+10% -10%

✖Shear Strength is the strength of a material against structural failure when the material fails in shear.ⓘ Shear Strength of Cohesionless Soil [τ_s]

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Formula

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Shear Strength of Cohesionless Soil

Formula

`"τ"_{"s"} = "σ"_{"nm"}*tan(("φ"))`

Example

`"1.199598MPa"="1.1MPa"*tan(("47.48°"))`

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Shear Strength of Cohesionless Soil Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Strength = Normal Stress in Mega Pascal*tan((Angle of Internal Friction))
τ_s = σ_nm*tan((φ))
This formula uses 1 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)

Variables Used

Shear Strength - (Measured in Megapascal) - Shear Strength is the strength of a material against structural failure when the material fails in shear.
Normal Stress in Mega Pascal - (Measured in Megapascal) - Normal Stress in Mega Pascal is the stress component that acts perpendicular to the plane of interest within a soil mass measure in mega pascal.
Angle of Internal Friction - (Measured in Radian) - Angle of Internal Friction is the angle measured between the normal force and resultant force.

STEP 1: Convert Input(s) to Base Unit

Normal Stress in Mega Pascal: 1.1 Megapascal --> 1.1 Megapascal No Conversion Required
Angle of Internal Friction: 47.48 Degree --> 0.828682328846752 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ_s = σ_nm*tan((φ)) --> 1.1*tan((0.828682328846752))

Evaluating ... ...

τ_s = 1.1995984054531

STEP 3: Convert Result to Output's Unit

1199598.4054531 Pascal -->1.1995984054531 Megapascal (Check conversion here)

FINAL ANSWER

1.1995984054531 ≈ 1.199598 Megapascal <-- Shear Strength

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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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 Cohesionless Soil Formula

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

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 Cohesionless Soil?

Shear Strength of Cohesionless Soil calculator uses Shear Strength = Normal Stress in Mega Pascal*tan((Angle of Internal Friction)) to calculate the Shear Strength, The Shear Strength of Cohesionless Soil formula is defined as the value of the resistance offered by soil particles to shearing forces when there is no cohesive bond between them. Cohesionless soils, such as sands and gravels, primarily rely on interparticle friction and the effective stress to resist shearing. Shear Strength is denoted by τ_s symbol.

How to calculate Shear Strength of Cohesionless Soil using this online calculator? To use this online calculator for Shear Strength of Cohesionless Soil, enter Normal Stress in Mega Pascal (σ_nm) & Angle of Internal Friction (φ) and hit the calculate button. Here is how the Shear Strength of Cohesionless Soil calculation can be explained with given input values -> 1.1E-6 = 1100000*tan((0.828682328846752)).

FAQ

What is Shear Strength of Cohesionless Soil?

The Shear Strength of Cohesionless Soil formula is defined as the value of the resistance offered by soil particles to shearing forces when there is no cohesive bond between them. Cohesionless soils, such as sands and gravels, primarily rely on interparticle friction and the effective stress to resist shearing and is represented as τ_s = σ_nm*tan((φ)) or Shear Strength = Normal Stress in Mega Pascal*tan((Angle of Internal Friction)). Normal Stress in Mega Pascal is the stress component that acts perpendicular to the plane of interest within a soil mass measure in mega pascal & Angle of Internal Friction is the angle measured between the normal force and resultant force.

How to calculate Shear Strength of Cohesionless Soil?

The Shear Strength of Cohesionless Soil formula is defined as the value of the resistance offered by soil particles to shearing forces when there is no cohesive bond between them. Cohesionless soils, such as sands and gravels, primarily rely on interparticle friction and the effective stress to resist shearing is calculated using Shear Strength = Normal Stress in Mega Pascal*tan((Angle of Internal Friction)). To calculate Shear Strength of Cohesionless Soil, you need Normal Stress in Mega Pascal (σ_nm) & Angle of Internal Friction (φ). With our tool, you need to enter the respective value for Normal Stress in Mega Pascal & Angle of Internal Friction 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 Strength?

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

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

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