Factor of Safety with Respect to Cohesion given Stability Number 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 theoretical number given by Taylor.ⓘ 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%
✖Depth at Mobilised Cohesion in Stability Number is soil layer thickness where effective cohesion is reached, impacting slope stability.ⓘ Depth at Mobilised Cohesion in Stability Number [H_Mobilised]			+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 given Stability Number [F_c]

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Formula

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Factor of Safety with Respect to Cohesion given Stability Number

Formula

`"F"_{"c"} = ("c"/("S"_{"n"}*"γ"*"H"_{"Mobilised"}))`

Example

`"2.079878"=("3.01kPa"/("2.01"*"18kN/m³"*"0.04m"))`

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Factor of Safety with Respect to Cohesion given Stability Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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 theoretical number given by Taylor.
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 in Stability Number - (Measured in Meter) - Depth at Mobilised Cohesion in Stability Number is soil layer thickness where effective cohesion is reached, impacting slope stability.

STEP 1: Convert Input(s) to Base Unit

Cohesion of Soil: 3.01 Kilopascal --> 3.01 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
Depth at Mobilised Cohesion in Stability Number: 0.04 Meter --> 0.04 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_c = (c/(S_n*γ*H_Mobilised)) --> (3.01/(2.01*18*0.04))

Evaluating ... ...

F_c = 2.07987838584854

STEP 3: Convert Result to Output's Unit

2.07987838584854 --> No Conversion Required

FINAL ANSWER

2.07987838584854 ≈ 2.079878 <-- Factor of Safety with respect to Cohesion

(Calculation completed in 00.004 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 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

Factor of Safety with Respect to Cohesion given Stability Number Formula

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

What is Factor of Safety?

The ratio of a structure's absolute strength (structural capability) to actual applied load; this is a measure of the reliability of a particular design.

How to Calculate Factor of Safety with Respect to Cohesion given Stability Number?

Factor of Safety with Respect to Cohesion given Stability Number calculator uses Factor of Safety with respect to Cohesion = (Cohesion of Soil/(Stability Number*Unit Weight of Soil*Depth at Mobilised Cohesion in Stability Number)) to calculate the Factor of Safety with respect to Cohesion, The Factor of Safety with Respect to Cohesion given Stability Number is defined as the ratio of Stability Number to cohesion, ensuring slope stability in geotechnical engineering. Factor of Safety with respect to Cohesion is denoted by F_c symbol.

How to calculate Factor of Safety with Respect to Cohesion given Stability Number using this online calculator? To use this online calculator for Factor of Safety with Respect to Cohesion given Stability Number, enter Cohesion of Soil (c), Stability Number (S_n), Unit Weight of Soil (γ) & Depth at Mobilised Cohesion in Stability Number (H_Mobilised) and hit the calculate button. Here is how the Factor of Safety with Respect to Cohesion given Stability Number calculation can be explained with given input values -> 2.090278 = (3010/(2.01*18000*0.04)).

FAQ

What is Factor of Safety with Respect to Cohesion given Stability Number?

The Factor of Safety with Respect to Cohesion given Stability Number is defined as the ratio of Stability Number to cohesion, ensuring slope stability in geotechnical engineering and is represented as F_c = (c/(S_n*γ*H_Mobilised)) or Factor of Safety with respect to Cohesion = (Cohesion of Soil/(Stability Number*Unit Weight of Soil*Depth at Mobilised Cohesion in 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, Stability Number is a theoretical number given by Taylor, Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil & Depth at Mobilised Cohesion in Stability Number is soil layer thickness where effective cohesion is reached, impacting slope stability.

How to calculate Factor of Safety with Respect to Cohesion given Stability Number?

The Factor of Safety with Respect to Cohesion given Stability Number is defined as the ratio of Stability Number to cohesion, ensuring slope stability in geotechnical engineering is calculated using Factor of Safety with respect to Cohesion = (Cohesion of Soil/(Stability Number*Unit Weight of Soil*Depth at Mobilised Cohesion in Stability Number)). To calculate Factor of Safety with Respect to Cohesion given Stability Number, you need Cohesion of Soil (c), Stability Number (S_n), Unit Weight of Soil (γ) & Depth at Mobilised Cohesion in Stability Number (H_Mobilised). With our tool, you need to enter the respective value for Cohesion of Soil, Stability Number, Unit Weight of Soil & Depth at Mobilised Cohesion in 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 Factor of Safety with respect to Cohesion?

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

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

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