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Stability Number given Factor of Safety Formula

GoStability Number for Cohesive Soil Formula

GoStability Number for Cohesive Soil given Mobilized Cohesion Formula

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

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

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

Stability Number given Factor of Safety Example

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

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

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

1.8355 = (\frac{2.511}{1.9 \cdot 18 \cdot 0.04})

1.8355 = (\frac{2.511kPa}{1.9 \cdot 18kN/m³ \cdot 0.04m})

1.8355 = (\frac{2.511}{1.9 \cdot 18 \cdot 0.04})

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Stability Number given Factor of Safety Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S n = (\frac{2.511kPa}{1.9 \cdot 18kN/m³ \cdot 0.04m})

Next Step Prepare to Evaluate

∴

S n = (\frac{2.511}{1.9 \cdot 18 \cdot 0.04})

Next Step Evaluate

∴

S n = 1.83552631578947

LAST Step Rounding Answer

∴

S n = 1.8355

Stability Number given Factor of Safety Formula Elements

Variables

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

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

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

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 Stability Number

Go Stability Number for Cohesive Soil

S n = (\frac{c}{γ \cdot h cs})

Go Stability Number for Cohesive Soil given Mobilized Cohesion

S n = (\frac{C c}{γ \cdot 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 Stability Number given Factor of Safety?

Stability Number given Factor of Safety evaluator uses Stability Number = (Cohesion of Soil/(Factor of Safety with respect to Cohesion*Unit Weight of Soil*Depth at Mobilized Cohesion in Stability Number)) to evaluate the Stability Number, The Stability Number given Factor of Safety formula is defined as ratio of cohesion to applied stress, ensuring safety in geotechnical engineering; higher values indicate increased stability. Stability Number is denoted by S_n symbol.

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

FAQs on Stability Number given Factor of Safety

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

The formula of Stability Number given Factor of Safety is expressed as Stability Number = (Cohesion of Soil/(Factor of Safety with respect to Cohesion*Unit Weight of Soil*Depth at Mobilized Cohesion in Stability Number)). Here is an example- 2.200292 = (2511/(1.9*18000*0.04)).

How to calculate Stability Number given Factor of Safety?

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

What are the other ways to Calculate Stability Number?

Here are the different ways to Calculate Stability Number-

Stability Number=(Cohesion of Soil/(Unit Weight of Soil*Critical Depth for Stability Number))
Stability Number=(Mobilized Cohesion for Cohesive Soil/(Unit Weight of Soil*Depth at Mobilized Cohesion))

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Stability Number given Factor of Safety Formula

​GoStability Number for Cohesive Soil Formula

​GoStability Number for Cohesive Soil given Mobilized Cohesion Formula

Stability Number given Factor of Safety Example

Stability Number given Factor of Safety Solution

Stability Number given Factor of Safety Formula Elements

Other Formulas to find Stability Number

Other formulas in Stability Analysis of Infinite Slopes category

How to Evaluate Stability Number given Factor of Safety?

FAQs on Stability Number given Factor of Safety

Variable Name

GoStability Number for Cohesive Soil Formula

GoStability Number for Cohesive Soil given Mobilized Cohesion Formula