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Depth of Mobilized Cohesion given Factor of Safety Formula

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

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

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

Depth of Mobilized Cohesion given Factor of Safety Example

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Here is how the Depth of Mobilized Cohesion given Factor of Safety equation looks like with Values.

Here is how the Depth of Mobilized Cohesion given Factor of Safety equation looks like with Units.

Here is how the Depth of Mobilized Cohesion given Factor of Safety equation looks like.

0.0365 = (\frac{2.511}{2.01 \cdot 18 \cdot 1.9})

0.0365m = (\frac{2.511kPa}{2.01 \cdot 18kN/m³ \cdot 1.9})

0.0365 = (\frac{2.511}{2.01 \cdot 18 \cdot 1.9})

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Depth of Mobilized Cohesion given Factor of Safety Solution

Follow our step by step solution on how to calculate Depth of Mobilized Cohesion given Factor of Safety?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

H Mobilised = (\frac{2.511kPa}{2.01 \cdot 18kN/m³ \cdot 1.9})

Next Step Prepare to Evaluate

∴

H Mobilised = (\frac{2.511}{2.01 \cdot 18 \cdot 1.9})

Next Step Evaluate

∴

H Mobilised = 0.0365278868813826m

LAST Step Rounding Answer

∴

H Mobilised = 0.0365m

Depth of Mobilized Cohesion given Factor of Safety Formula Elements

Variables

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

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

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

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 Depth of Mobilized Cohesion given Factor of Safety?

Depth of Mobilized Cohesion given Factor of Safety evaluator uses Depth at Mobilized Cohesion in Stability Number = (Cohesion of Soil/(Stability Number*Unit Weight of Soil*Factor of Safety with respect to Cohesion)) to evaluate the Depth at Mobilized Cohesion in Stability Number, The Depth of Mobilized Cohesion given Factor of Safety formula is defined as value of the depth within a soil layer where the cohesion of the soil begins to contribute to its shear strength, considering factor of safety. Depth at Mobilized Cohesion in Stability Number is denoted by H_Mobilised symbol.

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

FAQs on Depth of Mobilized Cohesion given Factor of Safety

What is the formula to find Depth of Mobilized Cohesion given Factor of Safety?

The formula of Depth of Mobilized Cohesion given Factor of Safety is expressed as Depth at Mobilized Cohesion in Stability Number = (Cohesion of Soil/(Stability Number*Unit Weight of Soil*Factor of Safety with respect to Cohesion)). Here is an example- 0.043787 = (2511/(2.01*18000*1.9)).

How to calculate Depth of Mobilized Cohesion given Factor of Safety?

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

Can the Depth of Mobilized Cohesion given Factor of Safety be negative?

No, the Depth of Mobilized Cohesion given Factor of Safety, measured in Length cannot be negative.

Which unit is used to measure Depth of Mobilized Cohesion given Factor of Safety?

Depth of Mobilized Cohesion given Factor of Safety is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Depth of Mobilized Cohesion given Factor of Safety can be measured.

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Depth of Mobilized Cohesion given Factor of Safety Formula

Depth of Mobilized Cohesion given Factor of Safety Example

Depth of Mobilized Cohesion given Factor of Safety Solution

Depth of Mobilized Cohesion given Factor of Safety Formula Elements

Other formulas in Stability Analysis of Infinite Slopes category

How to Evaluate Depth of Mobilized Cohesion given Factor of Safety?

FAQs on Depth of Mobilized Cohesion given Factor of Safety

Variable Name