Critical Depth for Cohesive Soil given Factor of Safety Calculator

✖Factor of Safety with respect to Cohesion is the ratio of material's shear strength to applied shear stress, ensuring stability against sliding.ⓘ Factor of Safety with respect to Cohesion [F_c]			+10% -10%
✖Depth at Mobilized Cohesion is the depth at which mobilized cohesion is considered.ⓘ Depth at Mobilized Cohesion [H]			+10% -10%

✖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.ⓘ Critical Depth for Cohesive Soil given Factor of Safety [h_Critical]

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Formula

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Critical Depth for Cohesive Soil given Factor of Safety

Formula

h Critical = F c \cdot H

Example

5.51 m = 1.9 \cdot 2.9 m

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Critical Depth for Cohesive Soil given Factor of Safety Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Depth for Factor of Safety = Factor of Safety with respect to Cohesion*Depth at Mobilized Cohesion
h_Critical = F_c*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 the depth at which the factor of safety against slope failure or other geotechnical hazards reaches a critical value.
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 Mobilized Cohesion - (Measured in Meter) - Depth at Mobilized Cohesion is the depth at which mobilized 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 Mobilized Cohesion: 2.9 Meter --> 2.9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_Critical = F_c*H --> 1.9*2.9

Evaluating ... ...

h_Critical = 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 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2100+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< Stability Analysis of Infinite Slopes Calculators

Normal Stress given Shear Stress of Cohesionless Soil

Go Normal Stress in Mega Pascal = Shear Stress for Factor of Safety*cot((Angle of Inclination))

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)

Critical Depth for Cohesive Soil given Factor of Safety Formula

Critical Depth for Factor of Safety = Factor of Safety with respect to Cohesion*Depth at Mobilized Cohesion
h_Critical = F_c*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?

Critical Depth for Cohesive Soil given Factor of Safety calculator uses Critical Depth for Factor of Safety = Factor of Safety with respect to Cohesion*Depth at Mobilized Cohesion to calculate 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 h_Critical symbol.

How to calculate Critical Depth for Cohesive Soil given Factor of Safety using this online calculator? To use this online calculator for Critical Depth for Cohesive Soil given Factor of Safety, enter Factor of Safety with respect to Cohesion (F_c) & Depth at Mobilized Cohesion (H) and hit the calculate button. Here is how the Critical Depth for Cohesive Soil given Factor of Safety calculation can be explained with given input values -> 5.51 = 1.9*2.9.

FAQ

What is Critical Depth for Cohesive Soil given 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 and is represented as h_Critical = F_c*H or Critical Depth for Factor of Safety = Factor of Safety with respect to Cohesion*Depth at Mobilized 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 Mobilized Cohesion is the depth at which mobilized cohesion is considered.

How to calculate Critical Depth for Cohesive Soil given 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 is calculated using Critical Depth for Factor of Safety = Factor of Safety with respect to Cohesion*Depth at Mobilized Cohesion. To calculate Critical Depth for Cohesive Soil given Factor of Safety, you need Factor of Safety with respect to Cohesion (F_c) & Depth at Mobilized Cohesion (H). With our tool, you need to enter the respective value for Factor of Safety with respect to Cohesion & Depth at Mobilized 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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