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Normal Stress given Shear Stress of Cohesionless Soil Formula

GoNormal Stress given Shear Strength of Cohesionless Soil Formula

GoNormal Stress given Shear Strength of Cohesive 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 = 𝜏 Shearstress \cdot \cot ((I))

σ_nm - Normal Stress in Mega Pascal?𝜏_Shearstress - Shear Stress for Factor of Safety?I - Angle of Inclination?

Normal Stress given Shear Stress of Cohesionless Soil Example

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

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

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

2.8052 = 15.909 \cdot \cot ((80))

2.8052MPa = 15.909Pa \cdot \cot ((80°))

2.8052 = 15.909 \cdot \cot ((80))

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Normal Stress given Shear Stress of Cohesionless Soil Solution

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

FIRST Step Consider the formula

σ nm = 𝜏 Shearstress \cdot \cot ((I))

Next Step Substitute values of Variables

∴

σ nm = 15.909Pa \cdot \cot ((80°))

Next Step Convert Units

∴

σ nm = 15.909Pa \cdot \cot ((1.3963rad))

Next Step Prepare to Evaluate

∴

σ nm = 15.909 \cdot \cot ((1.3963))

Next Step Evaluate

∴

σ nm = 2805185.93609529Pa

Next Step Convert to Output's Unit

∴

σ nm = 2.80518593609529MPa

LAST Step Rounding Answer

∴

σ nm = 2.8052MPa

Normal Stress given Shear Stress of Cohesionless 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 Stress for Factor of Safety

Shear Stress for Factor of Safety is force is the maximum shear stress that a soil can withstand before failure, considering a safety factor.

Symbol: 𝜏_Shearstress

Measurement: StressUnit: Pa

Note: Value should be greater than 0.

Formulas to find Shear Stress for Factor of Safety

Angle of Inclination

Angle of Inclination is the angle measured from the horizontal surface of the wall or any object.

Symbol: I

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Inclination

cot

Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle.

Syntax: cot(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 Strength of Cohesive Soil

σ nm = \frac{τ s - c}{\tan ((φ))}

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 Stress of Cohesionless Soil?

Normal Stress given Shear Stress of Cohesionless Soil evaluator uses Normal Stress in Mega Pascal = Shear Stress for Factor of Safety*cot((Angle of Inclination)) to evaluate 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 evaluate Normal Stress given Shear Stress of Cohesionless Soil using this online evaluator? To use this online evaluator 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.

FAQs on Normal Stress given Shear Stress of Cohesionless Soil

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

The formula of Normal Stress given Shear Stress of Cohesionless Soil is expressed as Normal Stress in Mega Pascal = Shear Stress for Factor of Safety*cot((Angle of Inclination)). Here is an example- 8.8E-7 = 15.909*cot((1.3962634015952)).

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

With Shear Stress for Factor of Safety (𝜏_Shearstress) & Angle of Inclination (I) we can find Normal Stress given Shear Stress of Cohesionless Soil using the formula - Normal Stress in Mega Pascal = Shear Stress for Factor of Safety*cot((Angle of Inclination)). This formula also uses Cotangent (cot) 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 Strength-Cohesion of Soil)/tan((Angle of Internal Friction))

Can the Normal Stress given Shear Stress of Cohesionless Soil be negative?

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

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

Normal Stress given Shear Stress of Cohesionless 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 Stress of Cohesionless Soil can be measured.

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Normal Stress given Shear Stress of Cohesionless Soil Formula

​GoNormal Stress given Shear Strength of Cohesionless Soil Formula

​GoNormal Stress given Shear Strength of Cohesive Soil Formula

Normal Stress given Shear Stress of Cohesionless Soil Example

Normal Stress given Shear Stress of Cohesionless Soil Solution

Normal Stress given Shear Stress of Cohesionless 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 Stress of Cohesionless Soil?

FAQs on Normal Stress given Shear Stress of Cohesionless Soil

Variable Name

GoNormal Stress given Shear Strength of Cohesionless Soil Formula

GoNormal Stress given Shear Strength of Cohesive Soil Formula