Depth of Mobilized Cohesion 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%
✖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%
✖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%
✖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%

✖Depth at Mobilized Cohesion in Stability Number is soil layer thickness where effective cohesion is reached, impacting slope stability.ⓘ Depth of Mobilized Cohesion given Factor of Safety [H_Mobilised]

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Formula

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Depth of Mobilized Cohesion given Factor of Safety

Formula

H Mobilised = (\frac{c}{S n \cdot γ \cdot F c})

Example

0.036528 m = (\frac{2.511 kPa}{2.01 \cdot 18 kN/m³ \cdot 1.9})

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Depth of Mobilized Cohesion given Factor of Safety Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
Stability Number - Stability Number is a parameter used to assess the stability of slopes, particularly in soil mechanics and geotechnical analyses.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Cohesion of Soil: 2.511 Kilopascal --> 2.511 Kilopascal No Conversion Required
Stability Number: 2.01 --> No Conversion Required
Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18 Kilonewton per Cubic Meter No Conversion Required
Factor of Safety with respect to Cohesion: 1.9 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_Mobilised = (c/(S_n*γ*F_c)) --> (2.511/(2.01*18*1.9))

Evaluating ... ...

H_Mobilised = 0.0365278868813826

STEP 3: Convert Result to Output's Unit

0.0365278868813826 Meter --> No Conversion Required

FINAL ANSWER

0.0365278868813826 ≈ 0.036528 Meter <-- Depth at Mobilized Cohesion in 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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< 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)

Depth of Mobilized Cohesion given Factor of Safety Formula

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

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 Depth of Mobilized Cohesion given Factor of Safety?

Depth of Mobilized Cohesion given Factor of Safety calculator uses Depth at Mobilized Cohesion in Stability Number = (Cohesion of Soil/(Stability Number*Unit Weight of Soil*Factor of Safety with respect to Cohesion)) to calculate the Depth at Mobilized Cohesion in Stability Number, The Depth of Mobilized Cohesion given Factor of Safety formula is defined as value of the depth within a soil layer where the cohesion of the soil begins to contribute to its shear strength, considering factor of safety. Depth at Mobilized Cohesion in Stability Number is denoted by H_Mobilised symbol.

How to calculate Depth of Mobilized Cohesion given Factor of Safety using this online calculator? To use this online calculator for Depth of Mobilized Cohesion given Factor of Safety, enter Cohesion of Soil (c), Stability Number (S_n), Unit Weight of Soil (γ) & Factor of Safety with respect to Cohesion (F_c) and hit the calculate button. Here is how the Depth of Mobilized Cohesion given Factor of Safety calculation can be explained with given input values -> 0.043787 = (2511/(2.01*18000*1.9)).

FAQ

What is Depth of Mobilized Cohesion given Factor of Safety?

The Depth of Mobilized Cohesion given Factor of Safety formula is defined as value of the depth within a soil layer where the cohesion of the soil begins to contribute to its shear strength, considering factor of safety and is represented as H_Mobilised = (c/(S_n*γ*F_c)) or Depth at Mobilized Cohesion in Stability Number = (Cohesion of Soil/(Stability Number*Unit Weight of Soil*Factor of Safety with respect to Cohesion)). 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, Stability Number is a parameter used to assess the stability of slopes, particularly in soil mechanics and geotechnical analyses, Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil & Factor of Safety with respect to Cohesion is the ratio of material's shear strength to applied shear stress, ensuring stability against sliding.

How to calculate Depth of Mobilized Cohesion given Factor of Safety?

The Depth of Mobilized Cohesion given Factor of Safety formula is defined as value of the depth within a soil layer where the cohesion of the soil begins to contribute to its shear strength, considering factor of safety is calculated using Depth at Mobilized Cohesion in Stability Number = (Cohesion of Soil/(Stability Number*Unit Weight of Soil*Factor of Safety with respect to Cohesion)). To calculate Depth of Mobilized Cohesion given Factor of Safety, you need Cohesion of Soil (c), Stability Number (S_n), Unit Weight of Soil (γ) & Factor of Safety with respect to Cohesion (F_c). With our tool, you need to enter the respective value for Cohesion of Soil, Stability Number, Unit Weight of Soil & Factor of Safety with respect to Cohesion and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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