Shear Stress given Factor of Safety for Cohesive Soil Calculator

✖Unit Cohesion is the shear strength of soil due to interparticle bonding and cementation.ⓘ Unit Cohesion [c_u]			+10% -10%
✖Normal Stress is the stress component that acts perpendicular to the plane of interest within a soil mass or structure.ⓘ Normal Stress [σ_Normal]			+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%
✖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 is the maximum shear stress that a soil can withstand before failure, considering a safety factor.ⓘ 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 = \frac{c u + (σ Normal \cdot \tan ((Φ i)))}{f s}

Example

15.90906 Pa = \frac{10 Pa + (0.8 Pa \cdot \tan ((78.69 °)))}{0.88}

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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 is the maximum shear stress that a soil can withstand before failure, considering a safety factor.
Unit Cohesion - (Measured in Pascal) - Unit Cohesion is the shear strength of soil due to interparticle bonding and cementation.
Normal Stress - (Measured in Pascal) - Normal Stress is the stress component that acts perpendicular to the plane of interest within a soil mass or structure.
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.
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: 78.69 Degree --> 1.37339958839408 Radian (Check conversion here)
Factor of Safety: 0.88 --> 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((1.37339958839408))))/0.88

Evaluating ... ...

𝜏_Shearstress = 15.9090630525966

STEP 3: Convert Result to Output's Unit

15.9090630525966 Pascal --> No Conversion Required

FINAL ANSWER

15.9090630525966 ≈ 15.90906 Pascal <-- Shear Stress for Factor of Safety

(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< Stability Analysis of Infinite Slopes Calculators

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)

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 formula is defined as the measure of shear stress acting within a soil mass, taking into account the safety factor to ensure stability. 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 -> 15.90906 = (10+(0.8*tan((1.37339958839408))))/0.88.

FAQ

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

The Shear Stress given Factor of Safety for Cohesive Soil formula is defined as the measure of shear stress acting within a soil mass, taking into account the safety factor to ensure stability 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 shear strength of soil due to interparticle bonding and cementation, Normal Stress is the stress component that acts perpendicular to the plane of interest within a soil mass or structure, Angle of Internal Friction of Soil is a measure of the shear strength of soil due to friction & 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 formula is defined as the measure of shear stress acting within a soil mass, taking into account the safety factor to ensure stability 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.

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