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Stability Number for Cohesive Soil Formula

GoStability Number for Cohesive Soil given Mobilized Cohesion Formula

GoStability Number given Factor of Safety 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}{γ \cdot h cs})

S_n - Stability Number?c - Cohesion of Soil?γ - Unit Weight of Soil?h_cs - Critical Depth for Stability Number?

Stability Number for Cohesive Soil Example

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Here is how the Stability Number for Cohesive Soil equation looks like with Values.

Here is how the Stability Number for Cohesive Soil equation looks like with Units.

Here is how the Stability Number for Cohesive Soil equation looks like.

2.0217 = (\frac{2.511}{18 \cdot 0.069})

2.0217 = (\frac{2.511kPa}{18kN/m³ \cdot 0.069m})

2.0217 = (\frac{2.511}{18 \cdot 0.069})

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Stability Number for Cohesive Soil Solution

Follow our step by step solution on how to calculate Stability Number for Cohesive Soil?

FIRST Step Consider the formula

S n = (\frac{c}{γ \cdot h cs})

Next Step Substitute values of Variables

∴

S n = (\frac{2.511kPa}{18kN/m³ \cdot 0.069m})

Next Step Prepare to Evaluate

∴

S n = (\frac{2.511}{18 \cdot 0.069})

Next Step Evaluate

∴

S n = 2.02173913043478

LAST Step Rounding Answer

∴

S n = 2.0217

Stability Number for Cohesive Soil 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

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

Critical Depth for Stability Number

The Critical Depth for Stability Number is the depth within a soil mass where the Stability Number (a dimensionless parameter used to assess slope stability) reaches a critical value.

Symbol: h_cs

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Critical Depth for Stability Number

Other Formulas to find Stability Number

Go Stability Number for Cohesive Soil given Mobilized Cohesion

S n = (\frac{C c}{γ \cdot H})

Go Stability Number given Factor of Safety

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

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 for Cohesive Soil?

Stability Number for Cohesive Soil evaluator uses Stability Number = (Cohesion of Soil/(Unit Weight of Soil*Critical Depth for Stability Number)) to evaluate the Stability Number, The Stability Number for Cohesive Soil formula is defined as the measure of value of stability number used in geotechnical engineering to assess the stability of slopes in cohesive soils. Stability Number is denoted by S_n symbol.

How to evaluate Stability Number for Cohesive Soil using this online evaluator? To use this online evaluator for Stability Number for Cohesive Soil, enter Cohesion of Soil (c), Unit Weight of Soil (γ) & Critical Depth for Stability Number (h_cs) and hit the calculate button.

FAQs on Stability Number for Cohesive Soil

What is the formula to find Stability Number for Cohesive Soil?

The formula of Stability Number for Cohesive Soil is expressed as Stability Number = (Cohesion of Soil/(Unit Weight of Soil*Critical Depth for Stability Number)). Here is an example- 1.74375 = (2511/(18000*0.069)).

How to calculate Stability Number for Cohesive Soil?

With Cohesion of Soil (c), Unit Weight of Soil (γ) & Critical Depth for Stability Number (h_cs) we can find Stability Number for Cohesive Soil using the formula - Stability Number = (Cohesion of Soil/(Unit Weight of Soil*Critical Depth for Stability Number)).

What are the other ways to Calculate Stability Number?

Here are the different ways to Calculate Stability Number-

Stability Number=(Mobilized Cohesion for Cohesive Soil/(Unit Weight of Soil*Depth at Mobilized Cohesion))
Stability Number=(Cohesion of Soil/(Factor of Safety with respect to Cohesion*Unit Weight of Soil*Depth at Mobilized Cohesion in Stability Number))

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Stability Number for Cohesive Soil Formula

​GoStability Number for Cohesive Soil given Mobilized Cohesion Formula

​GoStability Number given Factor of Safety Formula

Stability Number for Cohesive Soil Example

Stability Number for Cohesive Soil Solution

Stability Number for Cohesive Soil Formula Elements

Other Formulas to find Stability Number

Other formulas in Stability Analysis of Infinite Slopes category

How to Evaluate Stability Number for Cohesive Soil?

FAQs on Stability Number for Cohesive Soil

Variable Name

GoStability Number for Cohesive Soil given Mobilized Cohesion Formula

GoStability Number given Factor of Safety Formula