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Critical Depth given Stability Number for Cohesive Soil Formula

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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. Check FAQs

h cs = (\frac{c}{γ \cdot S n})

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

Critical Depth given Stability Number for Cohesive Soil Example

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

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

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

0.0694 = (\frac{2.511}{18 \cdot 2.01})

0.0694m = (\frac{2.511kPa}{18kN/m³ \cdot 2.01})

0.0694 = (\frac{2.511}{18 \cdot 2.01})

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Critical Depth given Stability Number for Cohesive Soil Solution

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

FIRST Step Consider the formula

h cs = (\frac{c}{γ \cdot S n})

Next Step Substitute values of Variables

∴

h cs = (\frac{2.511kPa}{18kN/m³ \cdot 2.01})

Next Step Prepare to Evaluate

∴

h cs = (\frac{2.511}{18 \cdot 2.01})

Next Step Evaluate

∴

h cs = 0.0694029850746269m

LAST Step Rounding Answer

∴

h cs = 0.0694m

Critical Depth given Stability Number for Cohesive Soil Formula Elements

Variables

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

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

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

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 Critical Depth given Stability Number for Cohesive Soil?

Critical Depth given Stability Number for Cohesive Soil evaluator uses Critical Depth for Stability Number = (Cohesion of Soil/(Unit Weight of Soil*Stability Number)) to evaluate the Critical Depth for Stability Number, The Critical Depth given Stability Number for Cohesive Soil formula is defined as the value of depth at which the Stability Number for cohesive soil indicates potential slope failure. Critical Depth for Stability Number is denoted by h_cs symbol.

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

FAQs on Critical Depth given Stability Number for Cohesive Soil

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

The formula of Critical Depth given Stability Number for Cohesive Soil is expressed as Critical Depth for Stability Number = (Cohesion of Soil/(Unit Weight of Soil*Stability Number)). Here is an example- 0.069403 = (2511/(18000*2.01)).

How to calculate Critical Depth given Stability Number for Cohesive Soil?

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

Can the Critical Depth given Stability Number for Cohesive Soil be negative?

No, the Critical Depth given Stability Number for Cohesive Soil, measured in Length cannot be negative.

Which unit is used to measure Critical Depth given Stability Number for Cohesive Soil?

Critical Depth given Stability Number for Cohesive Soil is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Critical Depth given Stability Number for Cohesive Soil can be measured.

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Critical Depth given Stability Number for Cohesive Soil Formula

Critical Depth given Stability Number for Cohesive Soil Example

Critical Depth given Stability Number for Cohesive Soil Solution

Critical Depth given Stability Number for Cohesive Soil Formula Elements

Other formulas in Stability Analysis of Infinite Slopes category

How to Evaluate Critical Depth given Stability Number for Cohesive Soil?

FAQs on Critical Depth given Stability Number for Cohesive Soil

Variable Name