Factor of Safety given Critical Depth Calculator

✖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 Factor of Safety [h_Critical]			+10% -10%
✖Depth at Mobilized Cohesion is the depth at which mobilized cohesion is considered.ⓘ Depth at Mobilized Cohesion [H]			+10% -10%

✖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 given Critical Depth [F_c]

⎘ Copy

👎

Formula

✖

Factor of Safety given Critical Depth

Formula

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

Example

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

Calculator

LaTeX

Reset

👍

Download Stability Analysis of Infinite Slopes Formulas PDF PDF Image

Factor of Safety given Critical Depth Solution

STEP 0: Pre-Calculation Summary

Formula Used

Factor of Safety with respect to Cohesion = Critical Depth for Factor of Safety/Depth at Mobilized Cohesion
F_c = h_Critical/H
This formula uses 3 Variables

Variables Used

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.
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.
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

Critical Depth for Factor of Safety: 5.51 Meter --> 5.51 Meter 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

F_c = h_Critical/H --> 5.51/2.9

Evaluating ... ...

F_c = 1.9

STEP 3: Convert Result to Output's Unit

1.9 --> No Conversion Required

FINAL ANSWER

1.9 <-- Factor of Safety with respect to Cohesion

(Calculation completed in 00.004 seconds)

You are here -

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

Credits

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

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

< 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)

Factor of Safety given Critical Depth Formula

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

Factor of Safety given Critical Depth calculator uses Factor of Safety with respect to Cohesion = Critical Depth for Factor of Safety/Depth at Mobilized Cohesion to calculate 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 calculate Factor of Safety given Critical Depth using this online calculator? To use this online calculator 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. Here is how the Factor of Safety given Critical Depth calculation can be explained with given input values -> 2.068966 = 5.51/2.9.

FAQ

What is Factor of Safety given Critical Depth?

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

How to calculate Factor of Safety given Critical Depth?

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

How many ways are there to calculate Factor of Safety with respect to Cohesion?

In this formula, Factor of Safety with respect to Cohesion uses Critical Depth for Factor of Safety & Depth at Mobilized Cohesion. We can use 1 other way(s) to calculate the same, which is/are as follows -

Factor of Safety with respect to Cohesion = (Cohesion of Soil/(Stability Number*Unit Weight of Soil*Depth at Mobilized Cohesion in Stability Number))

Home

FREE PDFs

🔍 Search