Factor of Safety given Stability Number Calculator

✖Cohesion of Soil is the ability of like particles within soil to hold onto each other. It is the shear strength or force that binds together like particles in the structure of a soil.ⓘ Cohesion of Soil [c]			+10% -10%
✖Stability Number is a parameter used to assess the stability of slopes, particularly in soil mechanics and geotechnical analyses.ⓘ Stability Number [S_n]			+10% -10%
✖Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.ⓘ Unit Weight of Soil [γ]			+10% -10%
✖Depth at Mobilized Cohesion in Stability Number is soil layer thickness where effective cohesion is reached, impacting slope stability.ⓘ Depth at Mobilized Cohesion in Stability Number [H_Mobilised]			+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 Stability Number [F_c]

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Factor of Safety given Stability Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Factor of Safety with respect to Cohesion = (Cohesion of Soil/(Stability Number*Unit Weight of Soil*Depth at Mobilized Cohesion in Stability Number))
F_c = (c/(S_n*γ*H_Mobilised))
This formula uses 5 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.
Cohesion of Soil - (Measured in Kilopascal) - Cohesion of Soil is the ability of like particles within soil to hold onto each other. It is the shear strength or force that binds together like particles in the structure of a soil.
Stability Number - Stability Number is a parameter used to assess the stability of slopes, particularly in soil mechanics and geotechnical analyses.
Unit Weight of Soil - (Measured in Kilonewton per Cubic Meter) - Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.
Depth at Mobilized Cohesion in Stability Number - (Measured in Meter) - Depth at Mobilized Cohesion in Stability Number is soil layer thickness where effective cohesion is reached, impacting slope stability.

STEP 1: Convert Input(s) to Base Unit

Cohesion of Soil: 2.511 Kilopascal --> 2.511 Kilopascal No Conversion Required
Stability Number: 2.01 --> No Conversion Required
Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18 Kilonewton per Cubic Meter No Conversion Required
Depth at Mobilized Cohesion in Stability Number: 0.04 Meter --> 0.04 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_c = (c/(S_n*γ*H_Mobilised)) --> (2.511/(2.01*18*0.04))

Evaluating ... ...

F_c = 1.73507462686567

STEP 3: Convert Result to Output's Unit

1.73507462686567 --> No Conversion Required

FINAL ANSWER

1.73507462686567 ≈ 1.735075 <-- Factor of Safety with respect to Cohesion

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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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

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

Normal Stress given Shear Strength of Cohesionless Soil

LaTeX Go Normal Stress in Mega Pascal = Shear Strength/tan((Angle of Internal Friction))

Shear Strength of Cohesionless Soil

LaTeX Go Shear Strength = Normal Stress in Mega Pascal*tan((Angle of Internal Friction))

Angle of Internal Friction given Shear Strength of Cohesionless Soil

LaTeX Go Angle of Internal Friction = atan(Shear Strength/Normal Stress in Mega Pascal)

Factor of Safety given Stability Number Formula

LaTeX Go

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

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 Stability Number?

Factor of Safety given Stability Number calculator uses Factor of Safety with respect to Cohesion = (Cohesion of Soil/(Stability Number*Unit Weight of Soil*Depth at Mobilized Cohesion in Stability Number)) to calculate the Factor of Safety with respect to Cohesion, The Factor of Safety given Stability Number formula is defined as the ratio of Stability Number to cohesion, ensuring slope stability in geotechnical engineering. Factor of Safety with respect to Cohesion is denoted by F_c symbol.

How to calculate Factor of Safety given Stability Number using this online calculator? To use this online calculator for Factor of Safety given Stability Number, enter Cohesion of Soil (c), Stability Number (S_n), Unit Weight of Soil (γ) & Depth at Mobilized Cohesion in Stability Number (H_Mobilised) and hit the calculate button. Here is how the Factor of Safety given Stability Number calculation can be explained with given input values -> 2.079878 = (2511/(2.01*18000*0.04)).

FAQ

What is Factor of Safety given Stability Number?

The Factor of Safety given Stability Number formula is defined as the ratio of Stability Number to cohesion, ensuring slope stability in geotechnical engineering and is represented as F_c = (c/(S_n*γ*H_Mobilised)) or Factor of Safety with respect to Cohesion = (Cohesion of Soil/(Stability Number*Unit Weight of Soil*Depth at Mobilized Cohesion in Stability Number)). Cohesion of Soil is the ability of like particles within soil to hold onto each other. It is the shear strength or force that binds together like particles in the structure of a soil, Stability Number is a parameter used to assess the stability of slopes, particularly in soil mechanics and geotechnical analyses, Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil & Depth at Mobilized Cohesion in Stability Number is soil layer thickness where effective cohesion is reached, impacting slope stability.

How to calculate Factor of Safety given Stability Number?

The Factor of Safety given Stability Number formula is defined as the ratio of Stability Number to cohesion, ensuring slope stability in geotechnical engineering is calculated using Factor of Safety with respect to Cohesion = (Cohesion of Soil/(Stability Number*Unit Weight of Soil*Depth at Mobilized Cohesion in Stability Number)). To calculate Factor of Safety given Stability Number, you need Cohesion of Soil (c), Stability Number (S_n), Unit Weight of Soil (γ) & Depth at Mobilized Cohesion in Stability Number (H_Mobilised). With our tool, you need to enter the respective value for Cohesion of Soil, Stability Number, Unit Weight of Soil & Depth at Mobilized Cohesion in Stability Number 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 Cohesion of Soil, Stability Number, Unit Weight of Soil & Depth at Mobilized Cohesion in Stability Number. We can use 1 other way(s) to calculate the same, which is/are as follows -

Factor of Safety with respect to Cohesion = Critical Depth for Factor of Safety/Depth at Mobilized Cohesion

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