Stability Number given Factor of Safety 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%
✖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%
✖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%

✖Stability Number is a parameter used to assess the stability of slopes, particularly in soil mechanics and geotechnical analyses.ⓘ Stability Number given Factor of Safety [S_n]

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Stability Number given Factor of Safety Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stability Number = (Cohesion of Soil/(Factor of Safety with respect to Cohesion*Unit Weight of Soil*Depth at Mobilized Cohesion in Stability Number))
S_n = (c/(F_c*γ*H_Mobilised))
This formula uses 5 Variables

Variables Used

Stability Number - Stability Number is a parameter used to assess the stability of slopes, particularly in soil mechanics and geotechnical analyses.
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.
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.
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
Factor of Safety with respect to Cohesion: 1.9 --> 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

S_n = (c/(F_c*γ*H_Mobilised)) --> (2.511/(1.9*18*0.04))

Evaluating ... ...

S_n = 1.83552631578947

STEP 3: Convert Result to Output's Unit

1.83552631578947 --> No Conversion Required

FINAL ANSWER

1.83552631578947 ≈ 1.835526 <-- Stability Number

(Calculation completed in 00.020 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)

Stability Number given Factor of Safety Formula

LaTeX Go

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

What is Stability Number?

It is the method used to evaluate slope stability for homogeneous soils having cohesion. This method is proposed by the Taylor.

How to Calculate Stability Number given Factor of Safety?

Stability Number given Factor of Safety calculator uses Stability Number = (Cohesion of Soil/(Factor of Safety with respect to Cohesion*Unit Weight of Soil*Depth at Mobilized Cohesion in Stability Number)) to calculate the Stability Number, The Stability Number given Factor of Safety formula is defined as ratio of cohesion to applied stress, ensuring safety in geotechnical engineering; higher values indicate increased stability. Stability Number is denoted by S_n symbol.

How to calculate Stability Number given Factor of Safety using this online calculator? To use this online calculator for Stability Number given Factor of Safety, enter Cohesion of Soil (c), Factor of Safety with respect to Cohesion (F_c), Unit Weight of Soil (γ) & Depth at Mobilized Cohesion in Stability Number (H_Mobilised) and hit the calculate button. Here is how the Stability Number given Factor of Safety calculation can be explained with given input values -> 2.200292 = (2511/(1.9*18000*0.04)).

FAQ

What is Stability Number given Factor of Safety?

The Stability Number given Factor of Safety formula is defined as ratio of cohesion to applied stress, ensuring safety in geotechnical engineering; higher values indicate increased stability and is represented as S_n = (c/(F_c*γ*H_Mobilised)) or Stability Number = (Cohesion of Soil/(Factor of Safety with respect to Cohesion*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, Factor of Safety with respect to Cohesion is the ratio of material's shear strength to applied shear stress, ensuring stability against sliding, 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 Stability Number given Factor of Safety?

The Stability Number given Factor of Safety formula is defined as ratio of cohesion to applied stress, ensuring safety in geotechnical engineering; higher values indicate increased stability is calculated using Stability Number = (Cohesion of Soil/(Factor of Safety with respect to Cohesion*Unit Weight of Soil*Depth at Mobilized Cohesion in Stability Number)). To calculate Stability Number given Factor of Safety, you need Cohesion of Soil (c), Factor of Safety with respect to Cohesion (F_c), 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, Factor of Safety with respect to Cohesion, 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 Stability Number?

In this formula, Stability Number uses Cohesion of Soil, Factor of Safety with respect to Cohesion, Unit Weight of Soil & Depth at Mobilized Cohesion in Stability Number. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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