Normal Stress given Shear Strength of Cohesionless Soil Calculator

✖Shear Strength is the strength of a material against structural failure when the material fails in shear.ⓘ Shear Strength [τ_s]			+10% -10%
✖Angle of Internal Friction is the angle measured between the normal force and resultant force.ⓘ Angle of Internal Friction [φ]			+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 Strength of Cohesionless Soil [σ_nm]

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Formula

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Normal Stress given Shear Strength of Cohesionless Soil

Formula

σ nm = \frac{τ s}{\tan ((φ))}

Example

1.100368 MPa = \frac{1.2 MPa}{\tan ((47.48 °))}

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Normal Stress given Shear Strength of Cohesionless Soil Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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 Strength - (Measured in Megapascal) - Shear Strength is the strength of a material against structural failure when the material fails in shear.
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

Shear Strength: 1.2 Megapascal --> 1.2 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

σ_nm = τ_s/tan((φ)) --> 1.2/tan((0.828682328846752))

Evaluating ... ...

σ_nm = 1.10036825157451

STEP 3: Convert Result to Output's Unit

1100368.25157451 Pascal -->1.10036825157451 Megapascal (Check conversion here)

FINAL ANSWER

1.10036825157451 ≈ 1.100368 Megapascal <-- Normal Stress in Mega Pascal

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Verified by Ishita Goyal

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

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)

Normal Stress given Shear Strength of Cohesionless Soil Formula

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

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 Strength of Cohesionless Soil?

Normal Stress given Shear Strength of Cohesionless Soil calculator uses Normal Stress in Mega Pascal = Shear Strength/tan((Angle of Internal Friction)) to calculate the Normal Stress in Mega Pascal, The Normal Stress given Shear Strength of Cohesionless Soil formula is defined as the value of the maximum vertical stress that can be applied to cohesionless (granular) soils without causing shear failure along a potential failure plane. Normal Stress in Mega Pascal is denoted by σ_nm symbol.

How to calculate Normal Stress given Shear Strength of Cohesionless Soil using this online calculator? To use this online calculator for Normal Stress given Shear Strength of Cohesionless Soil, enter Shear Strength (τ_s) & Angle of Internal Friction (φ) and hit the calculate button. Here is how the Normal Stress given Shear Strength of Cohesionless Soil calculation can be explained with given input values -> 1.2E-6 = 1200000/tan((0.828682328846752)).

FAQ

What is Normal Stress given Shear Strength of Cohesionless Soil?

The Normal Stress given Shear Strength of Cohesionless Soil formula is defined as the value of the maximum vertical stress that can be applied to cohesionless (granular) soils without causing shear failure along a potential failure plane and is represented as σ_nm = τ_s/tan((φ)) or Normal Stress in Mega Pascal = Shear Strength/tan((Angle of Internal Friction)). Shear Strength is the strength of a material against structural failure when the material fails in shear & Angle of Internal Friction is the angle measured between the normal force and resultant force.

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

The Normal Stress given Shear Strength of Cohesionless Soil formula is defined as the value of the maximum vertical stress that can be applied to cohesionless (granular) soils without causing shear failure along a potential failure plane is calculated using Normal Stress in Mega Pascal = Shear Strength/tan((Angle of Internal Friction)). To calculate Normal Stress given Shear Strength of Cohesionless Soil, you need Shear Strength (τ_s) & Angle of Internal Friction (φ). With our tool, you need to enter the respective value for Shear Strength & 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 Normal Stress in Mega Pascal?

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

Normal Stress in Mega Pascal = Shear Stress for Factor of Safety*cot((Angle of Inclination))
Normal Stress in Mega Pascal = (Shear Strength-Cohesion of Soil)/tan((Angle of Internal Friction))

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