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Factor of Safety given Stability Number Formula

GoFactor of Safety given Critical Depth Formula

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Factor of Safety with respect to Cohesion is the ratio of material's shear strength to applied shear stress, ensuring stability against sliding. Check FAQs

F c = (\frac{c}{S n \cdot γ \cdot H Mobilised})

F_c - Factor of Safety with respect to Cohesion?c - Cohesion of Soil?S_n - Stability Number?γ - Unit Weight of Soil?H_Mobilised - Depth at Mobilized Cohesion in Stability Number?

Factor of Safety given Stability Number Example

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Here is how the Factor of Safety given Stability Number equation looks like with Values.

Here is how the Factor of Safety given Stability Number equation looks like with Units.

Here is how the Factor of Safety given Stability Number equation looks like.

1.7351 = (\frac{2.511}{2.01 \cdot 18 \cdot 0.04})

1.7351 = (\frac{2.511kPa}{2.01 \cdot 18kN/m³ \cdot 0.04m})

1.7351 = (\frac{2.511}{2.01 \cdot 18 \cdot 0.04})

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Factor of Safety given Stability Number Solution

Follow our step by step solution on how to calculate Factor of Safety given Stability Number?

FIRST Step Consider the formula

F c = (\frac{c}{S n \cdot γ \cdot H Mobilised})

Next Step Substitute values of Variables

∴

F c = (\frac{2.511kPa}{2.01 \cdot 18kN/m³ \cdot 0.04m})

Next Step Prepare to Evaluate

∴

F c = (\frac{2.511}{2.01 \cdot 18 \cdot 0.04})

Next Step Evaluate

∴

F c = 1.73507462686567

LAST Step Rounding Answer

∴

F c = 1.7351

Factor of Safety given Stability Number Formula Elements

Variables

Factor of Safety with respect to Cohesion

Factor of Safety with respect to Cohesion is the ratio of material's shear strength to applied shear stress, ensuring stability against sliding.

Symbol: F_c

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Factor of Safety with respect to Cohesion

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

Stability Number

Stability Number is a parameter used to assess the stability of slopes, particularly in soil mechanics and geotechnical analyses.

Symbol: S_n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Stability Number

Unit Weight of Soil

Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.

Symbol: γ

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Unit Weight of Soil

Depth at Mobilized Cohesion in Stability Number

Depth at Mobilized Cohesion in Stability Number is soil layer thickness where effective cohesion is reached, impacting slope stability.

Symbol: H_Mobilised

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth at Mobilized Cohesion in Stability Number

Other Formulas to find Factor of Safety with respect to Cohesion

Go Factor of Safety given Critical Depth

F c = \frac{h Critical}{H}

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 Factor of Safety given Stability Number?

Factor of Safety given Stability Number evaluator uses Factor of Safety with respect to Cohesion = (Cohesion of Soil/(Stability Number*Unit Weight of Soil*Depth at Mobilized Cohesion in Stability Number)) to evaluate the Factor of Safety with respect to Cohesion, The Factor of Safety given Stability Number formula is defined as the ratio of Stability Number to cohesion, ensuring slope stability in geotechnical engineering. Factor of Safety with respect to Cohesion is denoted by F_c symbol.

How to evaluate Factor of Safety given Stability Number using this online evaluator? To use this online evaluator for Factor of Safety given Stability Number, enter Cohesion of Soil (c), Stability Number (S_n), Unit Weight of Soil (γ) & Depth at Mobilized Cohesion in Stability Number (H_Mobilised) and hit the calculate button.

FAQs on Factor of Safety given Stability Number

What is the formula to find Factor of Safety given Stability Number?

The formula of Factor of Safety given Stability Number is expressed as Factor of Safety with respect to Cohesion = (Cohesion of Soil/(Stability Number*Unit Weight of Soil*Depth at Mobilized Cohesion in Stability Number)). Here is an example- 2.079878 = (2511/(2.01*18000*0.04)).

How to calculate Factor of Safety given Stability Number?

With Cohesion of Soil (c), Stability Number (S_n), Unit Weight of Soil (γ) & Depth at Mobilized Cohesion in Stability Number (H_Mobilised) we can find Factor of Safety given Stability Number using the formula - Factor of Safety with respect to Cohesion = (Cohesion of Soil/(Stability Number*Unit Weight of Soil*Depth at Mobilized Cohesion in Stability Number)).

What are the other ways to Calculate Factor of Safety with respect to Cohesion?

Here are the different ways to Calculate Factor of Safety with respect to Cohesion-

Factor of Safety with respect to Cohesion=Critical Depth for Factor of Safety/Depth at Mobilized Cohesion

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Factor of Safety given Stability Number Formula

​GoFactor of Safety given Critical Depth Formula

Factor of Safety given Stability Number Example

Factor of Safety given Stability Number Solution

Factor of Safety given Stability Number Formula Elements

Other Formulas to find Factor of Safety with respect to Cohesion

Other formulas in Stability Analysis of Infinite Slopes category

How to Evaluate Factor of Safety given Stability Number?

FAQs on Factor of Safety given Stability Number

Variable Name

GoFactor of Safety given Critical Depth Formula