Stability Number for Cohesive Soil given Mobilized Cohesion Calculator

✖Mobilized Cohesion for Cohesive Soil is the effective shear strength contributed by cohesive soils when subjected to shear stresses.ⓘ Mobilized Cohesion for Cohesive Soil [C_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 is the depth at which mobilized cohesion is considered.ⓘ Depth at Mobilized Cohesion [H]			+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 given Mobilized Cohesion [S_n]

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Formula

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Stability Number for Cohesive Soil given Mobilized Cohesion

Formula

S n = (\frac{C c}{γ \cdot H})

Example

2.01 = (\frac{104.922 Pa}{18 kN/m³ \cdot 2.9 m})

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Stability Number for Cohesive Soil given Mobilized Cohesion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stability Number = (Mobilized Cohesion for Cohesive Soil/(Unit Weight of Soil*Depth at Mobilized Cohesion))
S_n = (C_c/(γ*H))
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.
Mobilized Cohesion for Cohesive Soil - (Measured in Pascal) - Mobilized Cohesion for Cohesive Soil is the effective shear strength contributed by cohesive soils when subjected to shear stresses.
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 - (Measured in Meter) - Depth at Mobilized Cohesion is the depth at which mobilized cohesion is considered.

STEP 1: Convert Input(s) to Base Unit

Mobilized Cohesion for Cohesive Soil: 104.922 Pascal --> 104.922 Pascal No Conversion Required
Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18 Kilonewton per Cubic 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

S_n = (C_c/(γ*H)) --> (104.922/(18*2.9))

Evaluating ... ...

S_n = 2.01

STEP 3: Convert Result to Output's Unit

2.01 --> No Conversion Required

FINAL ANSWER

2.01 <-- 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

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)

Stability Number for Cohesive Soil given Mobilized Cohesion Formula

Stability Number = (Mobilized Cohesion for Cohesive Soil/(Unit Weight of Soil*Depth at Mobilized Cohesion))
S_n = (C_c/(γ*H))

What is Unit Weight of Soil?

The mass of solid particles is usually expressed in terms of their particle unit weight or specific gravity (Gs) of the soil grain solids . For most inorganic soils, the value of Gs lies between 2.60 and 2.80.

How to Calculate Stability Number for Cohesive Soil given Mobilized Cohesion?

Stability Number for Cohesive Soil given Mobilized Cohesion calculator uses Stability Number = (Mobilized Cohesion for Cohesive Soil/(Unit Weight of Soil*Depth at Mobilized Cohesion)) to calculate the Stability Number, The Stability Number for Cohesive Soil given Mobilized Cohesion formula is defined as the measure of value of the 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 given Mobilized Cohesion using this online calculator? To use this online calculator for Stability Number for Cohesive Soil given Mobilized Cohesion, enter Mobilized Cohesion for Cohesive Soil (C_c), Unit Weight of Soil (γ) & Depth at Mobilized Cohesion (H) and hit the calculate button. Here is how the Stability Number for Cohesive Soil given Mobilized Cohesion calculation can be explained with given input values -> 2.01 = (104.922/(18000*2.9)).

FAQ

What is Stability Number for Cohesive Soil given Mobilized Cohesion?

The Stability Number for Cohesive Soil given Mobilized Cohesion formula is defined as the measure of value of the stability number used in geotechnical engineering to assess the stability of slopes in cohesive soils and is represented as S_n = (C_c/(γ*H)) or Stability Number = (Mobilized Cohesion for Cohesive Soil/(Unit Weight of Soil*Depth at Mobilized Cohesion)). Mobilized Cohesion for Cohesive Soil is the effective shear strength contributed by cohesive soils when subjected to shear stresses, Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil & Depth at Mobilized Cohesion is the depth at which mobilized cohesion is considered.

How to calculate Stability Number for Cohesive Soil given Mobilized Cohesion?

The Stability Number for Cohesive Soil given Mobilized Cohesion formula is defined as the measure of value of the stability number used in geotechnical engineering to assess the stability of slopes in cohesive soils is calculated using Stability Number = (Mobilized Cohesion for Cohesive Soil/(Unit Weight of Soil*Depth at Mobilized Cohesion)). To calculate Stability Number for Cohesive Soil given Mobilized Cohesion, you need Mobilized Cohesion for Cohesive Soil (C_c), Unit Weight of Soil (γ) & Depth at Mobilized Cohesion (H). With our tool, you need to enter the respective value for Mobilized Cohesion for Cohesive Soil, Unit Weight of Soil & 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 Stability Number?

In this formula, Stability Number uses Mobilized Cohesion for Cohesive Soil, Unit Weight of Soil & Depth at Mobilized Cohesion. 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 = (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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