Stability Number for Cohesive Soil given Mobilised Cohesion Calculator

✖Mobilised Cohesion is the amount of cohesion that is resisting the shear stress.ⓘ Mobilised Cohesion [C_m]			+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 Mobilised Cohesion means the depth at which mobilised cohesion is considered.ⓘ Depth at Mobilised Cohesion [H]			+10% -10%

✖Stability Number is a theoretical number given by Taylor.ⓘ Stability Number for Cohesive Soil given Mobilised Cohesion [S_n]

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Formula

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Stability Number for Cohesive Soil given Mobilised Cohesion

Formula

`"S"_{"n"} = ("C"_{"m"}/("γ"*"H"))`

Example

`"1.954023"=("102Pa"/("18kN/m³"*"2.9m"))`

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Stability Number for Cohesive Soil given Mobilised Cohesion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stability Number = (Mobilised Cohesion/(Unit Weight of Soil*Depth at Mobilised Cohesion))
S_n = (C_m/(γ*H))
This formula uses 4 Variables

Variables Used

Stability Number - Stability Number is a theoretical number given by Taylor.
Mobilised Cohesion - (Measured in Pascal) - Mobilised Cohesion is the amount of cohesion that is resisting the shear stress.
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 Mobilised Cohesion - (Measured in Meter) - Depth at Mobilised Cohesion means the depth at which mobilised cohesion is considered.

STEP 1: Convert Input(s) to Base Unit

Mobilised Cohesion: 102 Pascal --> 102 Pascal No Conversion Required
Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18 Kilonewton per Cubic Meter No Conversion Required
Depth at Mobilised Cohesion: 2.9 Meter --> 2.9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_n = (C_m/(γ*H)) --> (102/(18*2.9))

Evaluating ... ...

S_n = 1.95402298850575

STEP 3: Convert Result to Output's Unit

1.95402298850575 --> No Conversion Required

FINAL ANSWER

1.95402298850575 ≈ 1.954023 <-- Stability Number

(Calculation completed in 00.007 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2200+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< 25 Stability Analysis of Infinite Slopes Calculators

Unit Weight of Soil given Critical Depth for Cohesive Soil

Go Unit Weight of Soil = Cohesion of Soil/(Critical Depth*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2)

Cohesion given Critical Depth for Cohesive Soil

Go Cohesion of Soil = (Critical Depth*Unit Weight of Soil*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2)

Critical Depth for Cohesive Soil

Go Critical Depth = Cohesion of Soil/(Unit Weight of Soil*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2)

Cohesion given Shear Strength of Cohesive Soil

Go Cohesion of Soil = Shear Strength in KN per Cubic Meter-(Normal Stress in Soil Mechanics*tan((Angle of Internal Friction of Soil*pi)/180))

Cohesion of Soil given Factor of Safety for Cohesive Soil

Go Cohesion of Soil = (Shear Stress in Cohesive Soil*Factor of Safety)-(Normal Stress in Soil Mechanics*tan((Angle of Internal Friction)))

Normal Stress given Factor of Safety for Cohesive Soil

Go Normal Stress = ((Shear Stress for Factor of Safety*Factor of Safety)-Unit Cohesion)/tan((Angle of Internal Friction of Soil))

Shear Stress given Factor of Safety for Cohesive Soil

Go Shear Stress for Factor of Safety = (Unit Cohesion+(Normal Stress*tan((Angle of Internal Friction of Soil))))/Factor of Safety

Shear Strength of Soil given Angle of Internal Friction

Go Shear Strength = (Shear Stress for Factor of Safety*(tan(Angle of Internal Friction of Soil)/tan(Angle of Inclination)))

Shear Stress of Soil given Angle of Internal Friction

Go Shear Stress for Factor of Safety = Shear Strength/(tan((Angle of Internal Friction))/tan((Angle of Inclination)))

Angle of Internal Friction given Shear Strength of Soil

Go Angle of Internal Friction of Soil = atan((Shear Strength/Shear Stress)*tan((Angle of Inclination)))

Normal Stress given Shear Strength of Cohesive Soil

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

Shear Strength of Cohesive Soil

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

Factor of Safety against Sliding given Angle of Internal Friction

Go Factor of Safety = (tan((Angle of Internal Friction of Soil))/tan((Angle of Inclination)))

Unit Weight of Soil given Stability Number for Cohesive Soil

Go Unit Weight of Soil = (Cohesion of Soil/(Stability Number*Critical Depth for Stability Number))

Critical Depth given Stability Number for Cohesive Soil

Go Critical Depth for Stability Number = (Cohesion of Soil/(Unit Weight of Soil*Stability Number))

Cohesion given Stability Number for Cohesive Soil

Go Cohesion of Soil = Stability Number*(Unit Weight of Soil*Critical Depth for Stability Number)

Normal Stress given Shear Stress of Cohesionless Soil

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

Unit Weight of Soil given Mobilised Cohesion

Go Unit Weight of Soil = (Mobilised Cohesion/(Stability Number*Depth at Mobilised Cohesion))

Depth at Mobilised Cohesion

Go Depth at Mobilised Cohesion = (Mobilised Cohesion/(Unit Weight of Soil*Stability Number))

Mobilised Cohesion given Stability Number for Cohesive Soil

Go Mobilised Cohesion = (Stability Number*Unit Weight of Soil*Depth at Mobilised Cohesion)

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)

Cohesion of Soil given Mobilised Cohesion

Go Cohesion of Soil = Mobilised Cohesion*Factor of Safety with respect to Cohesion

Mobilised Cohesion

Go Mobilised Cohesion = Cohesion of Soil/Factor of Safety with respect to Cohesion

Stability Number for Cohesive Soil given Mobilised Cohesion Formula

Stability Number = (Mobilised Cohesion/(Unit Weight of Soil*Depth at Mobilised Cohesion))
S_n = (C_m/(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 Mobilised Cohesion?

Stability Number for Cohesive Soil given Mobilised Cohesion calculator uses Stability Number = (Mobilised Cohesion/(Unit Weight of Soil*Depth at Mobilised Cohesion)) to calculate the Stability Number, The Stability Number for Cohesive Soil given Mobilised Cohesion is defined as the ratio of mobilized cohesion to applied stress, indicating soil stability under loading. Stability Number is denoted by S_n symbol.

How to calculate Stability Number for Cohesive Soil given Mobilised Cohesion using this online calculator? To use this online calculator for Stability Number for Cohesive Soil given Mobilised Cohesion, enter Mobilised Cohesion (C_m), Unit Weight of Soil (γ) & Depth at Mobilised Cohesion (H) and hit the calculate button. Here is how the Stability Number for Cohesive Soil given Mobilised Cohesion calculation can be explained with given input values -> 1.954023 = (102/(18000*2.9)).

FAQ

What is Stability Number for Cohesive Soil given Mobilised Cohesion?

The Stability Number for Cohesive Soil given Mobilised Cohesion is defined as the ratio of mobilized cohesion to applied stress, indicating soil stability under loading and is represented as S_n = (C_m/(γ*H)) or Stability Number = (Mobilised Cohesion/(Unit Weight of Soil*Depth at Mobilised Cohesion)). Mobilised Cohesion is the amount of cohesion that is resisting the shear stress, Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil & Depth at Mobilised Cohesion means the depth at which mobilised cohesion is considered.

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

The Stability Number for Cohesive Soil given Mobilised Cohesion is defined as the ratio of mobilized cohesion to applied stress, indicating soil stability under loading is calculated using Stability Number = (Mobilised Cohesion/(Unit Weight of Soil*Depth at Mobilised Cohesion)). To calculate Stability Number for Cohesive Soil given Mobilised Cohesion, you need Mobilised Cohesion (C_m), Unit Weight of Soil (γ) & Depth at Mobilised Cohesion (H). With our tool, you need to enter the respective value for Mobilised Cohesion, Unit Weight of Soil & Depth at Mobilised 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 Mobilised Cohesion, Unit Weight of Soil & Depth at Mobilised 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 Mobilised Cohesion in Stability Number))

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