Stability Number for Cohesive Soil 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%
✖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%
✖The Critical Depth for Stability Number is the depth within a soil mass where the Stability Number (a dimensionless parameter used to assess slope stability) reaches a critical value.ⓘ Critical Depth for Stability Number [h_cs]			+10% -10%

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

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Stability Number for Cohesive Soil Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stability Number = (Cohesion of Soil/(Unit Weight of Soil*Critical Depth for Stability Number))
S_n = (c/(γ*h_cs))
This formula uses 4 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.
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.
Critical Depth for Stability Number - (Measured in Meter) - The Critical Depth for Stability Number is the depth within a soil mass where the Stability Number (a dimensionless parameter used to assess slope stability) reaches a critical value.

STEP 1: Convert Input(s) to Base Unit

Cohesion of Soil: 2.511 Kilopascal --> 2.511 Kilopascal No Conversion Required
Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18 Kilonewton per Cubic Meter No Conversion Required
Critical Depth for Stability Number: 0.069 Meter --> 0.069 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_n = (c/(γ*h_cs)) --> (2.511/(18*0.069))

Evaluating ... ...

S_n = 2.02173913043478

STEP 3: Convert Result to Output's Unit

2.02173913043478 --> No Conversion Required

FINAL ANSWER

2.02173913043478 ≈ 2.021739 <-- Stability Number

(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)

Stability Number for Cohesive Soil Formula

LaTeX Go

Stability Number = (Cohesion of Soil/(Unit Weight of Soil*Critical Depth for Stability Number))
S_n = (c/(γ*h_cs))

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 for Cohesive Soil?

Stability Number for Cohesive Soil calculator uses Stability Number = (Cohesion of Soil/(Unit Weight of Soil*Critical Depth for Stability Number)) to calculate the Stability Number, The Stability Number for Cohesive Soil formula is defined as the measure of value of stability number used in geotechnical engineering to assess the stability of slopes in cohesive soils. Stability Number is denoted by S_n symbol.

How to calculate Stability Number for Cohesive Soil using this online calculator? To use this online calculator for Stability Number for Cohesive Soil, enter Cohesion of Soil (c), Unit Weight of Soil (γ) & Critical Depth for Stability Number (h_cs) and hit the calculate button. Here is how the Stability Number for Cohesive Soil calculation can be explained with given input values -> 1.74375 = (2511/(18000*0.069)).

FAQ

What is Stability Number for Cohesive Soil?

The Stability Number for Cohesive Soil formula is defined as the measure of value of stability number used in geotechnical engineering to assess the stability of slopes in cohesive soils and is represented as S_n = (c/(γ*h_cs)) or Stability Number = (Cohesion of Soil/(Unit Weight of Soil*Critical Depth for 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, Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil & The Critical Depth for Stability Number is the depth within a soil mass where the Stability Number (a dimensionless parameter used to assess slope stability) reaches a critical value.

How to calculate Stability Number for Cohesive Soil?

The Stability Number for Cohesive Soil formula is defined as the measure of value of stability number used in geotechnical engineering to assess the stability of slopes in cohesive soils is calculated using Stability Number = (Cohesion of Soil/(Unit Weight of Soil*Critical Depth for Stability Number)). To calculate Stability Number for Cohesive Soil, you need Cohesion of Soil (c), Unit Weight of Soil (γ) & Critical Depth for Stability Number (h_cs). With our tool, you need to enter the respective value for Cohesion of Soil, Unit Weight of Soil & Critical Depth for 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, Unit Weight of Soil & Critical Depth for Stability Number. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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