Critical Depth for Cohesive Soil given Factor of Safety with Respect to Cohesion Solution

STEP 0: Pre-Calculation Summary
Formula Used
Critical Depth for Factor of Safety = Factor of Safety with respect to Cohesion*Depth at Mobilised Cohesion
hCritical = Fc*H
This formula uses 3 Variables
Variables Used
Critical Depth for Factor of Safety - (Measured in Meter) - The Critical Depth for Factor of Safety is defined as the depth of flow where energy is at a minimum for a particular discharge.
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.
Depth at Mobilised Cohesion - (Measured in Meter) - Depth at Mobilised Cohesion means the depth at which mobilised cohesion is considered.
STEP 1: Convert Input(s) to Base Unit
Factor of Safety with respect to Cohesion: 1.9 --> No Conversion Required
Depth at Mobilised Cohesion: 2.9 Meter --> 2.9 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
hCritical = Fc*H --> 1.9*2.9
Evaluating ... ...
hCritical = 5.51
STEP 3: Convert Result to Output's Unit
5.51 Meter --> No Conversion Required
FINAL ANSWER
5.51 Meter <-- Critical Depth for Factor of Safety
(Calculation completed in 00.020 seconds)

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Birsa Institute of Technology (BIT), Sindri
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25 Stability Analysis of Infinite Slopes Calculators

Unit Weight of Soil given Critical Depth for Cohesive Soil
Go Unit Weight of Soil = Cohesion of Soil/(Critical Depth*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2)
Cohesion given Critical Depth for Cohesive Soil
Go Cohesion of Soil = (Critical Depth*Unit Weight of Soil*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2)
Critical Depth for Cohesive Soil
Go Critical Depth = Cohesion of Soil/(Unit Weight of Soil*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2)
Cohesion given Shear Strength of Cohesive Soil
Go Cohesion of Soil = Shear Strength in KN per Cubic Meter-(Normal Stress in Soil Mechanics*tan((Angle of Internal Friction of Soil*pi)/180))
Cohesion of Soil given Factor of Safety for Cohesive Soil
Go Cohesion of Soil = (Shear Stress in Cohesive Soil*Factor of Safety)-(Normal Stress in Soil Mechanics*tan((Angle of Internal Friction)))
Normal Stress given Factor of Safety for Cohesive Soil
Go Normal Stress = ((Shear Stress for Factor of Safety*Factor of Safety)-Unit Cohesion)/tan((Angle of Internal Friction of Soil))
Shear Stress given Factor of Safety for Cohesive Soil
Go Shear Stress for Factor of Safety = (Unit Cohesion+(Normal Stress*tan((Angle of Internal Friction of Soil))))/Factor of Safety
Shear Strength of Soil given Angle of Internal Friction
Go Shear Strength = (Shear Stress for Factor of Safety*(tan(Angle of Internal Friction of Soil)/tan(Angle of Inclination)))
Shear Stress of Soil given Angle of Internal Friction
Go Shear Stress for Factor of Safety = Shear Strength/(tan((Angle of Internal Friction))/tan((Angle of Inclination)))
Angle of Internal Friction given Shear Strength of Soil
Go Angle of Internal Friction of Soil = atan((Shear Strength/Shear Stress)*tan((Angle of Inclination)))
Normal Stress given Shear Strength of Cohesive Soil
Go Normal Stress in Mega Pascal = (Shear Strength-Cohesion of Soil)/tan((Angle of Internal Friction))
Shear Strength of Cohesive Soil
Go Shear Strength = Cohesion of Soil+(Normal Stress in Mega Pascal*tan((Angle of Internal Friction)))
Factor of Safety against Sliding given Angle of Internal Friction
Go Factor of Safety = (tan((Angle of Internal Friction of Soil))/tan((Angle of Inclination)))
Unit Weight of Soil given Stability Number for Cohesive Soil
Go Unit Weight of Soil = (Cohesion of Soil/(Stability Number*Critical Depth for Stability Number))
Critical Depth given Stability Number for Cohesive Soil
Go Critical Depth for Stability Number = (Cohesion of Soil/(Unit Weight of Soil*Stability Number))
Cohesion given Stability Number for Cohesive Soil
Go Cohesion of Soil = Stability Number*(Unit Weight of Soil*Critical Depth for Stability Number)
Normal Stress given Shear Stress of Cohesionless Soil
Go Normal Stress in Mega Pascal = Shear Stress for Factor of Safety*cot((Angle of Inclination))
Unit Weight of Soil given Mobilised Cohesion
Go Unit Weight of Soil = (Mobilised Cohesion/(Stability Number*Depth at Mobilised Cohesion))
Depth at Mobilised Cohesion
Go Depth at Mobilised Cohesion = (Mobilised Cohesion/(Unit Weight of Soil*Stability Number))
Mobilised Cohesion given Stability Number for Cohesive Soil
Go Mobilised Cohesion = (Stability Number*Unit Weight of Soil*Depth at Mobilised Cohesion)
Normal Stress given Shear Strength of Cohesionless Soil
Go Normal Stress in Mega Pascal = Shear Strength/tan((Angle of Internal Friction))
Shear Strength of Cohesionless Soil
Go Shear Strength = Normal Stress in Mega Pascal*tan((Angle of Internal Friction))
Angle of Internal Friction given Shear Strength of Cohesionless Soil
Go Angle of Internal Friction = atan(Shear Strength/Normal Stress in Mega Pascal)
Cohesion of Soil given Mobilised Cohesion
Go Cohesion of Soil = Mobilised Cohesion*Factor of Safety with respect to Cohesion
Mobilised Cohesion
Go Mobilised Cohesion = Cohesion of Soil/Factor of Safety with respect to Cohesion

Critical Depth for Cohesive Soil given Factor of Safety with Respect to Cohesion Formula

Critical Depth for Factor of Safety = Factor of Safety with respect to Cohesion*Depth at Mobilised Cohesion
hCritical = Fc*H

What is Factor of Safety?

The ratio of a structure's absolute strength (structural capability) to actual applied load; this is a measure of the reliability of a particular design.

How to Calculate Critical Depth for Cohesive Soil given Factor of Safety with Respect to Cohesion?

Critical Depth for Cohesive Soil given Factor of Safety with Respect to Cohesion calculator uses Critical Depth for Factor of Safety = Factor of Safety with respect to Cohesion*Depth at Mobilised Cohesion to calculate the Critical Depth for Factor of Safety, The Critical Depth for Cohesive Soil given Factor of Safety with Respect to Cohesion is defined as the depth at which factor of safety, considering cohesion, ensures slope stability. Critical Depth for Factor of Safety is denoted by hCritical symbol.

How to calculate Critical Depth for Cohesive Soil given Factor of Safety with Respect to Cohesion using this online calculator? To use this online calculator for Critical Depth for Cohesive Soil given Factor of Safety with Respect to Cohesion, enter Factor of Safety with respect to Cohesion (Fc) & Depth at Mobilised Cohesion (H) and hit the calculate button. Here is how the Critical Depth for Cohesive Soil given Factor of Safety with Respect to Cohesion calculation can be explained with given input values -> 5.8 = 1.9*2.9.

FAQ

What is Critical Depth for Cohesive Soil given Factor of Safety with Respect to Cohesion?
The Critical Depth for Cohesive Soil given Factor of Safety with Respect to Cohesion is defined as the depth at which factor of safety, considering cohesion, ensures slope stability and is represented as hCritical = Fc*H or Critical Depth for Factor of Safety = Factor of Safety with respect to Cohesion*Depth at Mobilised Cohesion. Factor of Safety with respect to Cohesion is the ratio of material's shear strength to applied shear stress, ensuring stability against sliding & Depth at Mobilised Cohesion means the depth at which mobilised cohesion is considered.
How to calculate Critical Depth for Cohesive Soil given Factor of Safety with Respect to Cohesion?
The Critical Depth for Cohesive Soil given Factor of Safety with Respect to Cohesion is defined as the depth at which factor of safety, considering cohesion, ensures slope stability is calculated using Critical Depth for Factor of Safety = Factor of Safety with respect to Cohesion*Depth at Mobilised Cohesion. To calculate Critical Depth for Cohesive Soil given Factor of Safety with Respect to Cohesion, you need Factor of Safety with respect to Cohesion (Fc) & Depth at Mobilised Cohesion (H). With our tool, you need to enter the respective value for Factor of Safety with respect to Cohesion & Depth at Mobilised Cohesion and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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