✖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%
✖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%

✖Depth at Mobilized Cohesion is the depth at which mobilized cohesion is considered.ⓘ Depth at Mobilized Cohesion [H]

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Formula

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Depth at Mobilized Cohesion

Formula

`"H" = ("C"_{"c"}/("γ"*"S"_{"n"}))`

Example

`"2.9m"=("104.922Pa"/("18kN/m³"*"2.01"))`

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Depth at Mobilized Cohesion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Depth at Mobilized Cohesion = (Mobilized Cohesion for Cohesive Soil/(Unit Weight of Soil*Stability Number))
H = (C_c/(γ*S_n))
This formula uses 4 Variables

Variables Used

Depth at Mobilized Cohesion - (Measured in Meter) - Depth at Mobilized Cohesion is the depth at which mobilized cohesion is considered.
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.
Stability Number - Stability Number is a parameter used to assess the stability of slopes, particularly in soil mechanics and geotechnical analyses.

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
Stability Number: 2.01 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H = (C_c/(γ*S_n)) --> (104.922/(18*2.01))

Evaluating ... ...

H = 2.9

STEP 3: Convert Result to Output's Unit

2.9 Meter --> No Conversion Required

FINAL ANSWER

2.9 Meter <-- Depth at Mobilized Cohesion

(Calculation completed in 00.020 seconds)

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Birsa Institute of Technology (BIT), Sindri

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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 at a Point in Soil*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 at a Point in Soil*tan((Angle of Internal Friction)))

Shear Strength of Soil given Angle of Internal Friction

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

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 of Soil given Angle of Internal Friction

Go Shear Stress given Angle of Internal Friction = Shear Strength/(tan((Angle of Internal Friction))/tan((Angle of Inclination)))

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

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

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

Unit Weight of Soil given Mobilized Cohesion

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

Depth at Mobilized Cohesion

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

Mobilized Cohesion given Stability Number for Cohesive Soil

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

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))

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 Mobilized Cohesion

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

Mobilized Cohesion

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

Depth at Mobilized Cohesion Formula

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

What is Cohesive Force?

The term "cohesive forces" is a generic term for the collective intermolecular forces (e.g., hydrogen bonding and van der Waals forces) responsible for the bulk property of liquids resisting separation.

How to Calculate Depth at Mobilized Cohesion?

Depth at Mobilized Cohesion calculator uses Depth at Mobilized Cohesion = (Mobilized Cohesion for Cohesive Soil/(Unit Weight of Soil*Stability Number)) to calculate the Depth at Mobilized Cohesion, The Depth at Mobilized Cohesion formula is defined as the value of the depth within a soil layer where the cohesion of the soil begins to contribute to its shear strength. Depth at Mobilized Cohesion is denoted by H symbol.

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

FAQ

What is Depth at Mobilized Cohesion?

The Depth at Mobilized Cohesion formula is defined as the value of the depth within a soil layer where the cohesion of the soil begins to contribute to its shear strength and is represented as H = (C_c/(γ*S_n)) or Depth at Mobilized Cohesion = (Mobilized Cohesion for Cohesive Soil/(Unit Weight of Soil*Stability Number)). 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 & Stability Number is a parameter used to assess the stability of slopes, particularly in soil mechanics and geotechnical analyses.

How to calculate Depth at Mobilized Cohesion?

The Depth at Mobilized Cohesion formula is defined as the value of the depth within a soil layer where the cohesion of the soil begins to contribute to its shear strength is calculated using Depth at Mobilized Cohesion = (Mobilized Cohesion for Cohesive Soil/(Unit Weight of Soil*Stability Number)). To calculate Depth at Mobilized Cohesion, you need Mobilized Cohesion for Cohesive Soil (C_c), Unit Weight of Soil (γ) & Stability Number (S_n). With our tool, you need to enter the respective value for Mobilized Cohesion for Cohesive Soil, Unit Weight of Soil & 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 Depth at Mobilized Cohesion?

In this formula, Depth at Mobilized Cohesion uses Mobilized Cohesion for Cohesive Soil, Unit Weight of Soil & Stability Number. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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