Critical Depth for Cohesive Soil given Factor of Safety Formula

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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. Check FAQs
hCritical=FcH
hCritical - Critical Depth for Factor of Safety?Fc - Factor of Safety with respect to Cohesion?H - Depth at Mobilized Cohesion?

Critical Depth for Cohesive Soil given Factor of Safety Example

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With units
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Here is how the Critical Depth for Cohesive Soil given Factor of Safety equation looks like with Values.

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

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

5.51Edit=1.9Edit2.9Edit
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Critical Depth for Cohesive Soil given Factor of Safety Solution

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

FIRST Step Consider the formula
hCritical=FcH
Next Step Substitute values of Variables
hCritical=1.92.9m
Next Step Prepare to Evaluate
hCritical=1.92.9
LAST Step Evaluate
hCritical=5.51m

Critical Depth for Cohesive Soil given Factor of Safety Formula Elements

Variables
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: hCritical
Measurement: LengthUnit: m
Note: Value should be greater than 0.
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: Fc
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
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.

Other formulas in Stability Analysis of Infinite Slopes category

​Go Shear Strength of Cohesionless Soil
τs=σnmtan((φ))
​Go Normal Stress given Shear Strength of Cohesionless Soil
σnm=τstan((φ))
​Go Angle of Internal Friction given Shear Strength of Cohesionless Soil
φ=atan(τsσnm)
​Go Normal Stress given Shear Stress of Cohesionless Soil
σnm=𝜏Shearstresscot((I))

How to Evaluate Critical Depth for Cohesive Soil given Factor of Safety?

Critical Depth for Cohesive Soil given Factor of Safety evaluator uses Critical Depth for Factor of Safety = Factor of Safety with respect to Cohesion*Depth at Mobilized Cohesion to evaluate the Critical Depth for Factor of Safety, The Critical Depth for Cohesive Soil given Factor of Safety formula is defined as the measure of the value of the depth below ground level at which the soil is considered stable against shear failure, given a certain factor of safety. Critical Depth for Factor of Safety is denoted by hCritical symbol.

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

FAQs on Critical Depth for Cohesive Soil given Factor of Safety

What is the formula to find Critical Depth for Cohesive Soil given Factor of Safety?
The formula of Critical Depth for Cohesive Soil given Factor of Safety is expressed as Critical Depth for Factor of Safety = Factor of Safety with respect to Cohesion*Depth at Mobilized Cohesion. Here is an example- 5.51 = 1.9*2.9.
How to calculate Critical Depth for Cohesive Soil given Factor of Safety?
With Factor of Safety with respect to Cohesion (Fc) & Depth at Mobilized Cohesion (H) we can find Critical Depth for Cohesive Soil given Factor of Safety using the formula - Critical Depth for Factor of Safety = Factor of Safety with respect to Cohesion*Depth at Mobilized Cohesion.
Can the Critical Depth for Cohesive Soil given Factor of Safety be negative?
No, the Critical Depth for Cohesive Soil given Factor of Safety, measured in Length cannot be negative.
Which unit is used to measure Critical Depth for Cohesive Soil given Factor of Safety?
Critical Depth for Cohesive Soil 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 Critical Depth for Cohesive Soil given Factor of Safety can be measured.
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