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Normal Stress given Factor of Safety for Cohesive Soil Formula

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Normal Stress is the stress component that acts perpendicular to the plane of interest within a soil mass or structure. Check FAQs

σ Normal = \frac{(𝜏 Shearstress \cdot f s) - c u}{\tan ((Φ i))}

σ_Normal - Normal Stress?𝜏_Shearstress - Shear Stress for Factor of Safety?f_s - Factor of Safety?c_u - Unit Cohesion?Φ_i - Angle of Internal Friction of Soil?

Normal Stress given Factor of Safety for Cohesive Soil Example

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Here is how the Normal Stress given Factor of Safety for Cohesive Soil equation looks like with Values.

Here is how the Normal Stress given Factor of Safety for Cohesive Soil equation looks like with Units.

Here is how the Normal Stress given Factor of Safety for Cohesive Soil equation looks like.

0.8 = \frac{(15.909 \cdot 0.88) - 10}{\tan ((78.69))}

0.8Pa = \frac{(15.909Pa \cdot 0.88) - 10Pa}{\tan ((78.69°))}

0.8 = \frac{(15.909 \cdot 0.88) - 10}{\tan ((78.69))}

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Normal Stress given Factor of Safety for Cohesive Soil Solution

Follow our step by step solution on how to calculate Normal Stress given Factor of Safety for Cohesive Soil?

FIRST Step Consider the formula

σ Normal = \frac{(𝜏 Shearstress \cdot f s) - c u}{\tan ((Φ i))}

Next Step Substitute values of Variables

∴

σ Normal = \frac{(15.909Pa \cdot 0.88) - 10Pa}{\tan ((78.69°))}

Next Step Convert Units

∴

σ Normal = \frac{(15.909Pa \cdot 0.88) - 10Pa}{\tan ((1.3734rad))}

Next Step Prepare to Evaluate

∴

σ Normal = \frac{(15.909 \cdot 0.88) - 10}{\tan ((1.3734))}

Next Step Evaluate

∴

σ Normal = 0.799988902674994Pa

LAST Step Rounding Answer

∴

σ Normal = 0.8Pa

Normal Stress given Factor of Safety for Cohesive Soil Formula Elements

Variables

Functions

Normal Stress

Normal Stress is the stress component that acts perpendicular to the plane of interest within a soil mass or structure.

Symbol: σ_Normal

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Normal Stress

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

Factor of Safety

Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.

Symbol: f_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Factor of Safety

Unit Cohesion

Unit Cohesion is the shear strength of soil due to interparticle bonding and cementation.

Symbol: c_u

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Unit Cohesion

Angle of Internal Friction of Soil

Angle of Internal Friction of Soil is a measure of the shear strength of soil due to friction.

Symbol: Φ_i

Measurement: AngleUnit: °

Note: Value should be between -180 to 180.

Formulas to find Angle of Internal Friction of Soil

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 in Stability Analysis of Infinite Slopes category

Go Shear Strength of Cohesionless Soil

τ s = σ nm \cdot \tan ((φ))

Go Normal Stress given Shear Strength of Cohesionless Soil

σ nm = \frac{τ s}{\tan ((φ))}

Go Angle of Internal Friction given Shear Strength of Cohesionless Soil

φ = a \tan (\frac{τ s}{σ nm})

Go Normal Stress given Shear Stress of Cohesionless Soil

σ nm = 𝜏 Shearstress \cdot \cot ((I))

How to Evaluate Normal Stress given Factor of Safety for Cohesive Soil?

Normal Stress given Factor of Safety for Cohesive Soil evaluator uses Normal Stress = ((Shear Stress for Factor of Safety*Factor of Safety)-Unit Cohesion)/tan((Angle of Internal Friction of Soil)) to evaluate the Normal Stress, The Normal Stress given Factor of Safety for Cohesive Soil formula is defined as the value of the maximum allowable normal stress that cohesive soil can withstand under certain conditions, ensuring a specified factor of safety against failure. Normal Stress is denoted by σ_Normal symbol.

How to evaluate Normal Stress given Factor of Safety for Cohesive Soil using this online evaluator? To use this online evaluator for Normal Stress given Factor of Safety for Cohesive Soil, enter Shear Stress for Factor of Safety (𝜏_Shearstress), Factor of Safety (f_s), Unit Cohesion (c_u) & Angle of Internal Friction of Soil (Φ_i) and hit the calculate button.

FAQs on Normal Stress given Factor of Safety for Cohesive Soil

What is the formula to find Normal Stress given Factor of Safety for Cohesive Soil?

The formula of Normal Stress given Factor of Safety for Cohesive Soil is expressed as Normal Stress = ((Shear Stress for Factor of Safety*Factor of Safety)-Unit Cohesion)/tan((Angle of Internal Friction of Soil)). Here is an example- -1.120007 = ((15.909*0.88)-10)/tan((1.37339958839408)).

How to calculate Normal Stress given Factor of Safety for Cohesive Soil?

With Shear Stress for Factor of Safety (𝜏_Shearstress), Factor of Safety (f_s), Unit Cohesion (c_u) & Angle of Internal Friction of Soil (Φ_i) we can find Normal Stress given Factor of Safety for Cohesive Soil using the formula - Normal Stress = ((Shear Stress for Factor of Safety*Factor of Safety)-Unit Cohesion)/tan((Angle of Internal Friction of Soil)). This formula also uses Tangent (tan) function(s).

Can the Normal Stress given Factor of Safety for Cohesive Soil be negative?

Yes, the Normal Stress given Factor of Safety for Cohesive Soil, measured in Pressure can be negative.

Which unit is used to measure Normal Stress given Factor of Safety for Cohesive Soil?

Normal Stress given Factor of Safety for Cohesive Soil is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Normal Stress given Factor of Safety for Cohesive Soil can be measured.

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Normal Stress given Factor of Safety for Cohesive Soil Formula

Normal Stress given Factor of Safety for Cohesive Soil Example

Normal Stress given Factor of Safety for Cohesive Soil Solution

Normal Stress given Factor of Safety for Cohesive Soil Formula Elements

Other formulas in Stability Analysis of Infinite Slopes category

How to Evaluate Normal Stress given Factor of Safety for Cohesive Soil?

FAQs on Normal Stress given Factor of Safety for Cohesive Soil

Variable Name