✖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]

⎘ Copy

👎

Formula

✖

Critical Depth for Cohesive Soil given Factor of Safety

Formula

`"h"_{"Critical"} = "F"_{"c"}*"H"`

Example

`"5.51m"="1.9"*"2.9m"`

Calculator

LaTeX

Reset

👍

Download Stability Analysis of Infinite Slopes Formulas PDF PDF Image

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)

You are here -

Home » Engineering » Civil » Geotechnical Engineering » Stability Analysis of Infinite Slopes » Critical Depth for Cohesive Soil given Factor of Safety

Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2200+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 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 at a Point in Soil*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 at a Point in Soil*tan((Angle of Internal Friction)))

Shear Strength of Soil given Angle of Internal Friction

Go Shear Strength of Soil = (Shear Stress for Factor of Safety*(tan(Angle of Internal Friction of Soil)/tan(Angle of Inclination)))

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 of Soil given Angle of Internal Friction

Go Shear Stress given Angle of Internal Friction = Shear Strength/(tan((Angle of Internal Friction))/tan((Angle of Inclination)))

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

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

Go Factor of Safety = (tan((Angle of Internal Friction of Soil))/tan((Angle of Inclination)))

Unit Weight of Soil given Mobilized Cohesion

Go Unit Weight of Soil = (Mobilized Cohesion for Cohesive Soil/(Stability Number*Depth at Mobilized Cohesion))

Depth at Mobilized Cohesion

Go Depth at Mobilized Cohesion = (Mobilized Cohesion for Cohesive Soil/(Unit Weight of Soil*Stability Number))

Mobilized Cohesion given Stability Number for Cohesive Soil

Go Mobilized Cohesion for Cohesive Soil = (Stability Number*Unit Weight of Soil*Depth at Mobilized Cohesion)

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))

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 Mobilized Cohesion

Go Cohesion of Soil = Mobilized Cohesion*Factor of Safety with respect to Cohesion

Mobilized Cohesion

Go Mobilized Cohesion = Cohesion of Soil/Factor of Safety with respect to Cohesion

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.

Home

FREE PDFs

🔍 Search