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Normal Stress given Shear Strength of Cohesive Soil Formula

GoNormal Stress given Shear Strength of Cohesionless Soil Formula

GoNormal Stress given Shear Stress of Cohesionless Soil Formula

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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. Check FAQs

σ nm = \frac{τ s - c}{\tan ((φ))}

σ_nm - Normal Stress in Mega Pascal?τ_s - Shear Strength?c - Cohesion of Soil?φ - Angle of Internal Friction?

Normal Stress given Shear Strength of Cohesive Soil Example

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Here is how the Normal Stress given Shear Strength of Cohesive Soil equation looks like with Values.

Here is how the Normal Stress given Shear Strength of Cohesive Soil equation looks like with Units.

Here is how the Normal Stress given Shear Strength of Cohesive Soil equation looks like.

1.0981 = \frac{1.2 - 2.511}{\tan ((47.48))}

1.0981MPa = \frac{1.2MPa - 2.511kPa}{\tan ((47.48°))}

1.0981 = \frac{1.2 - 2.511}{\tan ((47.48))}

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Normal Stress given Shear Strength of Cohesive Soil Solution

Follow our step by step solution on how to calculate Normal Stress given Shear Strength of Cohesive Soil?

FIRST Step Consider the formula

σ nm = \frac{τ s - c}{\tan ((φ))}

Next Step Substitute values of Variables

∴

σ nm = \frac{1.2MPa - 2.511kPa}{\tan ((47.48°))}

Next Step Convert Units

∴

σ nm = \frac{1.2MPa - 0.0025MPa}{\tan ((0.8287rad))}

Next Step Prepare to Evaluate

∴

σ nm = \frac{1.2 - 0.0025}{\tan ((0.8287))}

Next Step Evaluate

∴

σ nm = 1098065.73100809Pa

Next Step Convert to Output's Unit

∴

σ nm = 1.09806573100809MPa

LAST Step Rounding Answer

∴

σ nm = 1.0981MPa

Normal Stress given Shear Strength of Cohesive Soil Formula Elements

Variables

Functions

Normal Stress in Mega Pascal

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.

Symbol: σ_nm

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Normal Stress in Mega Pascal

Shear Strength

Shear Strength is the strength of a material against structural failure when the material fails in shear.

Symbol: τ_s

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Shear Strength

Cohesion of Soil

Cohesion of Soil is the ability of like particles within soil to hold onto each other. It is the shear strength or force that binds together like particles in the structure of a soil.

Symbol: c

Measurement: PressureUnit: kPa

Note: Value should be greater than 0.

Formulas to find Cohesion of Soil

Angle of Internal Friction

Angle of Internal Friction is the angle measured between the normal force and resultant force.

Symbol: φ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Internal Friction

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.

Syntax: tan(Angle)

Other Formulas to find Normal Stress in Mega Pascal

Go Normal Stress given Shear Strength of Cohesionless Soil

σ nm = \frac{τ s}{\tan ((φ))}

Go Normal Stress given Shear Stress of Cohesionless Soil

σ nm = 𝜏 Shearstress \cdot \cot ((I))

Other formulas in Stability Analysis of Infinite Slopes category

Go Shear Strength of Cohesionless Soil

τ s = σ nm \cdot \tan ((φ))

Go Angle of Internal Friction given Shear Strength of Cohesionless Soil

φ = a \tan (\frac{τ s}{σ nm})

Go Factor of Safety against Sliding

f s = (\frac{\tan ((Φ i))}{\tan ((I))})

Go Shear Strength of Soil given Angle of Internal Friction

τ soil = (𝜏 Shearstress \cdot (\frac{\tan (Φ i)}{\tan (I)}))

How to Evaluate Normal Stress given Shear Strength of Cohesive Soil?

Normal Stress given Shear Strength of Cohesive Soil evaluator uses Normal Stress in Mega Pascal = (Shear Strength-Cohesion of Soil)/tan((Angle of Internal Friction)) to evaluate the Normal Stress in Mega Pascal, The Normal Stress given Shear Strength of Cohesive Soil formula is defined as the value of the perpendicular stress exerted on a plane within the soil mass when the shear strength of the cohesive soil is considered, practically it can be calculated using the Mohr-Coulomb failure criterion, which is often used to describe the shear strength of soils. Normal Stress in Mega Pascal is denoted by σ_nm symbol.

How to evaluate Normal Stress given Shear Strength of Cohesive Soil using this online evaluator? To use this online evaluator for Normal Stress given Shear Strength of Cohesive Soil, enter Shear Strength (τ_s), Cohesion of Soil (c) & Angle of Internal Friction (φ) and hit the calculate button.

FAQs on Normal Stress given Shear Strength of Cohesive Soil

What is the formula to find Normal Stress given Shear Strength of Cohesive Soil?

The formula of Normal Stress given Shear Strength of Cohesive Soil is expressed as Normal Stress in Mega Pascal = (Shear Strength-Cohesion of Soil)/tan((Angle of Internal Friction)). Here is an example- 1.1E-6 = (1200000-2511)/tan((0.828682328846752)).

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

With Shear Strength (τ_s), Cohesion of Soil (c) & Angle of Internal Friction (φ) we can find Normal Stress given Shear Strength of Cohesive Soil using the formula - Normal Stress in Mega Pascal = (Shear Strength-Cohesion of Soil)/tan((Angle of Internal Friction)). This formula also uses Tangent (tan) function(s).

What are the other ways to Calculate Normal Stress in Mega Pascal?

Here are the different ways to Calculate Normal Stress in Mega Pascal-

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

Can the Normal Stress given Shear Strength of Cohesive Soil be negative?

No, the Normal Stress given Shear Strength of Cohesive Soil, measured in Pressure cannot be negative.

Which unit is used to measure Normal Stress given Shear Strength of Cohesive Soil?

Normal Stress given Shear Strength of Cohesive Soil is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Normal Stress given Shear Strength of Cohesive Soil can be measured.

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Normal Stress given Shear Strength of Cohesive Soil Formula

​GoNormal Stress given Shear Strength of Cohesionless Soil Formula

​GoNormal Stress given Shear Stress of Cohesionless Soil Formula

Normal Stress given Shear Strength of Cohesive Soil Example

Normal Stress given Shear Strength of Cohesive Soil Solution

Normal Stress given Shear Strength of Cohesive Soil Formula Elements

Other Formulas to find Normal Stress in Mega Pascal

Other formulas in Stability Analysis of Infinite Slopes category

How to Evaluate Normal Stress given Shear Strength of Cohesive Soil?

FAQs on Normal Stress given Shear Strength of Cohesive Soil

Variable Name

GoNormal Stress given Shear Strength of Cohesionless Soil Formula

GoNormal Stress given Shear Stress of Cohesionless Soil Formula