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Factor of Safety given Critical Depth Formula

GoFactor of Safety given Stability Number 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{h Critical}{H}

F_c - Factor of Safety with respect to Cohesion?h_Critical - Critical Depth for Factor of Safety?H - Depth at Mobilized Cohesion?

Factor of Safety given Critical Depth Example

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

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

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

1.9 = \frac{5.51}{2.9}

1.9 = \frac{5.51m}{2.9m}

1.9 = \frac{5.51}{2.9}

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Factor of Safety given Critical Depth Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

F c = \frac{5.51m}{2.9m}

Next Step Prepare to Evaluate

∴

F c = \frac{5.51}{2.9}

LAST Step Evaluate

∴

F c = 1.9

Factor of Safety given Critical Depth 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

Critical Depth for Factor of Safety

The Critical Depth for Factor of Safety is the depth at which the factor of safety against slope failure or other geotechnical hazards reaches a critical value.

Symbol: h_Critical

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Critical Depth for Factor of Safety

Depth at Mobilized Cohesion

Depth at Mobilized Cohesion is the depth at which mobilized cohesion is considered.

Symbol: H

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth at Mobilized Cohesion

Other Formulas to find Factor of Safety with respect to Cohesion

Go Factor of Safety given Stability Number

F c = (\frac{c}{S n \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 Factor of Safety given Critical Depth?

Factor of Safety given Critical Depth evaluator uses Factor of Safety with respect to Cohesion = Critical Depth for Factor of Safety/Depth at Mobilized Cohesion to evaluate the Factor of Safety with respect to Cohesion, The Factor of Safety given Critical Depth formula is defined as the value of safety margin applied to ensure the stability of a structure or soil mass at a critical depth. Factor of Safety with respect to Cohesion is denoted by F_c symbol.

How to evaluate Factor of Safety given Critical Depth using this online evaluator? To use this online evaluator for Factor of Safety given Critical Depth, enter Critical Depth for Factor of Safety (h_Critical) & Depth at Mobilized Cohesion (H) and hit the calculate button.

FAQs on Factor of Safety given Critical Depth

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

The formula of Factor of Safety given Critical Depth is expressed as Factor of Safety with respect to Cohesion = Critical Depth for Factor of Safety/Depth at Mobilized Cohesion. Here is an example- 2.068966 = 5.51/2.9.

How to calculate Factor of Safety given Critical Depth?

With Critical Depth for Factor of Safety (h_Critical) & Depth at Mobilized Cohesion (H) we can find Factor of Safety given Critical Depth using the formula - Factor of Safety with respect to Cohesion = Critical Depth for Factor of Safety/Depth at Mobilized Cohesion.

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=(Cohesion of Soil/(Stability Number*Unit Weight of Soil*Depth at Mobilized Cohesion in Stability Number))

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Factor of Safety given Critical Depth Formula

​GoFactor of Safety given Stability Number Formula

Factor of Safety given Critical Depth Example

Factor of Safety given Critical Depth Solution

Factor of Safety given Critical Depth 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 Critical Depth?

FAQs on Factor of Safety given Critical Depth

Variable Name

GoFactor of Safety given Stability Number Formula