Shear Stress given Factor of Safety for Cohesive Soil Calculator

✖Unit Cohesion is the force that holds together molecules or like particles within a soil.ⓘ Unit Cohesion [c_u]			+10% -10%
✖Normal stress is defined as the stress produced by the perpendicular action of a force on a given area.ⓘ Normal Stress [σ_Normal]			+10% -10%
✖Angle of Internal Friction of Soil is a shear strength parameter of soils.ⓘ Angle of Internal Friction of Soil [Φ_i]			+10% -10%
✖Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.ⓘ Factor of Safety [f_s]			+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 given Factor of Safety for Cohesive Soil [𝜏_Shearstress]

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Formula

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Shear Stress given Factor of Safety for Cohesive Soil

Formula

`"𝜏"_{"Shearstress"} = ("c"_{"u"}+("σ"_{"Normal"}*tan(("Φ"_{"i"}))))/"f"_{"s"}`

Example

`"5.855529Pa"=("10Pa"+("0.8Pa"*tan(("82.87°"))))/"2.8"`

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Shear Stress given Factor of Safety for Cohesive Soil Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress for Factor of Safety = (Unit Cohesion+(Normal Stress*tan((Angle of Internal Friction of Soil))))/Factor of Safety
𝜏_Shearstress = (c_u+(σ_Normal*tan((Φ_i))))/f_s
This formula uses 1 Functions, 5 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.
Unit Cohesion - (Measured in Pascal) - Unit Cohesion is the force that holds together molecules or like particles within a soil.
Normal Stress - (Measured in Pascal) - Normal stress is defined as the stress produced by the perpendicular action of a force on a given area.
Angle of Internal Friction of Soil - (Measured in Radian) - Angle of Internal Friction of Soil is a shear strength parameter of soils.
Factor of Safety - Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.

STEP 1: Convert Input(s) to Base Unit

Unit Cohesion: 10 Pascal --> 10 Pascal No Conversion Required
Normal Stress: 0.8 Pascal --> 0.8 Pascal No Conversion Required
Angle of Internal Friction of Soil: 82.87 Degree --> 1.44635435112743 Radian (Check conversion here)
Factor of Safety: 2.8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏_Shearstress = (c_u+(σ_Normal*tan((Φ_i))))/f_s --> (10+(0.8*tan((1.44635435112743))))/2.8

Evaluating ... ...

𝜏_Shearstress = 5.85552861673606

STEP 3: Convert Result to Output's Unit

5.85552861673606 Pascal --> No Conversion Required

FINAL ANSWER

5.85552861673606 ≈ 5.855529 Pascal <-- Shear Stress for Factor of Safety

(Calculation completed in 00.020 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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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 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 given Factor of Safety for Cohesive Soil Formula

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

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 given Factor of Safety for Cohesive Soil?

Shear Stress given Factor of Safety for Cohesive Soil calculator uses Shear Stress for Factor of Safety = (Unit Cohesion+(Normal Stress*tan((Angle of Internal Friction of Soil))))/Factor of Safety to calculate the Shear Stress for Factor of Safety, The Shear Stress given Factor of Safety for Cohesive Soil is defined as the force applied to cohesive soil divided by the factor of safety, ensuring stability against failure. Shear Stress for Factor of Safety is denoted by 𝜏_Shearstress symbol.

How to calculate Shear Stress given Factor of Safety for Cohesive Soil using this online calculator? To use this online calculator for Shear Stress given Factor of Safety for Cohesive Soil, enter Unit Cohesion (c_u), Normal Stress (σ_Normal), Angle of Internal Friction of Soil (Φ_i) & Factor of Safety (f_s) and hit the calculate button. Here is how the Shear Stress given Factor of Safety for Cohesive Soil calculation can be explained with given input values -> 5.855529 = (10+(0.8*tan((1.44635435112743))))/2.8.

FAQ

What is Shear Stress given Factor of Safety for Cohesive Soil?

The Shear Stress given Factor of Safety for Cohesive Soil is defined as the force applied to cohesive soil divided by the factor of safety, ensuring stability against failure and is represented as 𝜏_Shearstress = (c_u+(σ_Normal*tan((Φ_i))))/f_s or Shear Stress for Factor of Safety = (Unit Cohesion+(Normal Stress*tan((Angle of Internal Friction of Soil))))/Factor of Safety. Unit Cohesion is the force that holds together molecules or like particles within a soil, Normal stress is defined as the stress produced by the perpendicular action of a force on a given area, Angle of Internal Friction of Soil is a shear strength parameter of soils & Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.

How to calculate Shear Stress given Factor of Safety for Cohesive Soil?

The Shear Stress given Factor of Safety for Cohesive Soil is defined as the force applied to cohesive soil divided by the factor of safety, ensuring stability against failure is calculated using Shear Stress for Factor of Safety = (Unit Cohesion+(Normal Stress*tan((Angle of Internal Friction of Soil))))/Factor of Safety. To calculate Shear Stress given Factor of Safety for Cohesive Soil, you need Unit Cohesion (c_u), Normal Stress (σ_Normal), Angle of Internal Friction of Soil (Φ_i) & Factor of Safety (f_s). With our tool, you need to enter the respective value for Unit Cohesion, Normal Stress, Angle of Internal Friction of Soil & Factor of Safety 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 Unit Cohesion, Normal Stress, Angle of Internal Friction of Soil & Factor of Safety. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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