Normal Stress given Shear Stress of Cohesionless Soil Calculator

✖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 Inclination is the angle measured from the horizontal surface of the wall or any object.ⓘ Angle of Inclination [I]			+10% -10%

✖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 given Shear Stress of Cohesionless Soil [σ_nm]

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Normal Stress given Shear Stress of Cohesionless Soil Solution

STEP 0: Pre-Calculation Summary

Formula Used

Normal Stress in Mega Pascal = Shear Stress for Factor of Safety*cot((Angle of Inclination))
σ_nm = 𝜏_Shearstress*cot((I))
This formula uses 1 Functions, 3 Variables

Functions Used

cot - Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle., cot(Angle)

Variables Used

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.
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 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 Inclination: 80 Degree --> 1.3962634015952 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_nm = 𝜏_Shearstress*cot((I)) --> 15.909*cot((1.3962634015952))

Evaluating ... ...

σ_nm = 2.80518593609529

STEP 3: Convert Result to Output's Unit

2805185.93609529 Pascal -->2.80518593609529 Megapascal (Check conversion here)

FINAL ANSWER

2.80518593609529 ≈ 2.805186 Megapascal <-- Normal Stress in Mega Pascal

(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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< Stability Analysis of Infinite Slopes Calculators

Normal Stress given Shear Stress of Cohesionless Soil

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

Normal Stress given Shear Strength of Cohesionless Soil

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

Shear Strength of Cohesionless Soil

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

Angle of Internal Friction given Shear Strength of Cohesionless Soil

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

Normal Stress given Shear Stress of Cohesionless Soil Formula

LaTeX Go

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

What is Normal Stress?

A normal stress is a stress that occurs when a member is loaded by an axial force. The value of the normal force for any prismatic section is simply the force divided by the cross sectional area.

How to Calculate Normal Stress given Shear Stress of Cohesionless Soil?

Normal Stress given Shear Stress of Cohesionless Soil calculator uses Normal Stress in Mega Pascal = Shear Stress for Factor of Safety*cot((Angle of Inclination)) to calculate the Normal Stress in Mega Pascal, The Normal Stress given Shear Stress of Cohesionless Soil formula is defined as the stress perpendicular to a plane within a soil mass, considering that the soil is cohesionless (i.e., it lacks cohesion or interparticle bonding). Normal Stress in Mega Pascal is denoted by σ_nm symbol.

How to calculate Normal Stress given Shear Stress of Cohesionless Soil using this online calculator? To use this online calculator for Normal Stress given Shear Stress of Cohesionless Soil, enter Shear Stress for Factor of Safety (𝜏_Shearstress) & Angle of Inclination (I) and hit the calculate button. Here is how the Normal Stress given Shear Stress of Cohesionless Soil calculation can be explained with given input values -> 8.8E-7 = 15.909*cot((1.3962634015952)).

FAQ

What is Normal Stress given Shear Stress of Cohesionless Soil?

The Normal Stress given Shear Stress of Cohesionless Soil formula is defined as the stress perpendicular to a plane within a soil mass, considering that the soil is cohesionless (i.e., it lacks cohesion or interparticle bonding) and is represented as σ_nm = 𝜏_Shearstress*cot((I)) or Normal Stress in Mega Pascal = Shear Stress for Factor of Safety*cot((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 Inclination is the angle measured from the horizontal surface of the wall or any object.

How to calculate Normal Stress given Shear Stress of Cohesionless Soil?

The Normal Stress given Shear Stress of Cohesionless Soil formula is defined as the stress perpendicular to a plane within a soil mass, considering that the soil is cohesionless (i.e., it lacks cohesion or interparticle bonding) is calculated using Normal Stress in Mega Pascal = Shear Stress for Factor of Safety*cot((Angle of Inclination)). To calculate Normal Stress given Shear Stress of Cohesionless Soil, you need Shear Stress for Factor of Safety (𝜏_Shearstress) & Angle of Inclination (I). With our tool, you need to enter the respective value for Shear Stress for Factor of Safety & 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 Normal Stress in Mega Pascal?

In this formula, Normal Stress in Mega Pascal uses Shear Stress for Factor of Safety & Angle of Inclination. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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