Mobilised Shear resistance of Soil given Factor of Safety Calculator

✖Unit Cohesion is the force that holds together molecules or like particles within a soil.ⓘ Unit Cohesion [c_u]			+10% -10%
✖Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.ⓘ Factor of Safety [f_s]			+10% -10%

✖Mobilised Shear Resistance of Soil is a result of friction and interlocking of particles, and possibly cementation or bonding at particle contacts.ⓘ Mobilised Shear resistance of Soil given Factor of Safety [c_m]

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Formula

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Mobilised Shear resistance of Soil given Factor of Safety

Formula

`"c"_{"m"} = "c"_{"u"}/"f"_{"s"}`

Example

`"3.571429Pa"="10Pa"/"2.8"`

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Mobilised Shear resistance of Soil given Factor of Safety Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mobilised Shear Resistance of Soil = Unit Cohesion/Factor of Safety
c_m = c_u/f_s
This formula uses 3 Variables

Variables Used

Mobilised Shear Resistance of Soil - (Measured in Pascal) - Mobilised Shear Resistance of Soil is a result of friction and interlocking of particles, and possibly cementation or bonding at particle contacts.
Unit Cohesion - (Measured in Pascal) - Unit Cohesion is the force that holds together molecules or like particles within a soil.
Factor of Safety - Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.

STEP 1: Convert Input(s) to Base Unit

Unit Cohesion: 10 Pascal --> 10 Pascal No Conversion Required
Factor of Safety: 2.8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

c_m = c_u/f_s --> 10/2.8

Evaluating ... ...

c_m = 3.57142857142857

STEP 3: Convert Result to Output's Unit

3.57142857142857 Pascal --> No Conversion Required

FINAL ANSWER

3.57142857142857 ≈ 3.571429 Pascal <-- Mobilised Shear Resistance of Soil

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Stability of Slopes In Earthen Dams » The Swedish Slip Circle Method » Mobilised Shear resistance of Soil given Factor of Safety

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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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< 25 The Swedish Slip Circle Method Calculators

Sum of Normal Component given Factor of Safety

Go Sum of All Normal Component in Soil Mechanics = ((Factor of Safety*Sum of All Tangential Component in Soil Mechanics)-(Unit Cohesion*Length of Slip Arc))/tan((Angle of Internal Friction of Soil*pi)/180)

Length of Slip Circle given Sum of Tangential Component

Go Length of Slip Arc = ((Factor of Safety*Sum of all Tangential Component)-(Sum of all Normal Component*tan((Angle of Internal Friction*pi)/180)))/Unit Cohesion

Sum of Tangential Component given Factor of Safety

Go Sum of all Tangential Component = ((Unit Cohesion*Length of Slip Arc)+(Sum of all Normal Component*tan((Angle of Internal Friction*pi)/180)))/Factor of Safety

Total Length of Slip Circle given Resisting Moment

Go Length of Slip Arc = ((Resisting Moment/Radius of Slip Circle)-(Sum of all Normal Component*tan((Angle of Internal Friction))))/Unit Cohesion

Sum of Normal Component given Resisting Moment

Go Sum of all Normal Component = ((Resisting Moment/Radius of Slip Circle)-(Unit Cohesion*Length of Slip Arc))/tan((Angle of Internal Friction))

Resisting Moment given Radius of Slip Circle

Go Resisting Moment = Radius of Slip Circle*((Unit Cohesion*Length of Slip Arc)+(Sum of all Normal Component*tan((Angle of Internal Friction))))

Normal Component given Resisting Force from Coulomb's Equation

Go Normal Component of Force in Soil Mechanics = (Resisting force in Soil Mechanics-(Unit Cohesion*Curve Length))/tan((Angle of Internal Friction of Soil))

Resisting Force from Coulomb's Equation

Go Resisting Force = ((Unit Cohesion*Curve Length)+(Normal Component of Force*tan((Angle of Internal Friction))))

Curve Length of Each Slice given Resisting Force from Coulomb's Equation

Go Curve Length = (Resisting Force-(Normal Component of Force*tan((Angle of Internal Friction))))/Unit Cohesion

Radial Distance from Centre of Rotation given Factor of Safety

Go Radial Distance = Factor of Safety/((Unit Cohesion*Length of Slip Arc)/(Weight of Body in Newtons*Distance))

Distance between Line of Action of Weight and Line Passing through Center

Go Distance = (Unit Cohesion*Length of Slip Arc*Radial Distance)/(Weight of Body in Newtons*Factor of Safety)

Distance between Line of Action and Line Passing through Center given Mobilised Cohesion

Go Distance = Mobilised Shear Resistance of Soil/((Weight of Body in Newtons*Radial Distance)/Length of Slip Arc)

Radial Distance from Centre of Rotation given Mobilised Shear resistance of Soil

Go Radial Distance = Mobilised Shear Resistance of Soil/((Weight of Body in Newtons*Distance)/Length of Slip Arc)

Mobilised Shear resistance of Soil given Weight of Soil on Wedge

Go Mobilised Shear Resistance of Soil = (Weight of Body in Newtons*Distance*Radial Distance)/Length of Slip Arc

Radial Distance from Center of Rotation given Length of Slip Arc

Go Radial Distance = (360*Length of Slip Arc)/(2*pi*Arc Angle*(180/pi))

Arc Angle given Length of Slip Arc

Go Arc Angle = (360*Length of Slip Arc)/(2*pi*Radial Distance)*(pi/180)

Radial Distance from Centre of Rotation given Moment of Resistance

Go Radial Distance = Resisting Moment/(Unit Cohesion*Length of Slip Arc)

Moment of Resistance given Unit Cohesion

Go Resisting Moment = (Unit Cohesion*Length of Slip Arc*Radial Distance)

Sum of Tangential Component given Driving Moment

Go Sum of all Tangential Component = Driving Moment/Radius of Slip Circle

Driving Moment given Radius of Slip Circle

Go Driving Moment = Radius of Slip Circle*Sum of all Tangential Component

Mobilised Shear resistance of Soil given Factor of Safety

Go Mobilised Shear Resistance of Soil = Unit Cohesion/Factor of Safety

Distance between Line of Action and Line Passing through Center given Driving Moment

Go Distance = Driving Moment/Weight of Body in Newtons

Driving Moment given Weight of Soil on Wedge

Go Driving Moment = Weight of Body in Newtons*Distance

Moment of Resistance given Factor of Safety

Go Resisting Moment = Factor of Safety*Driving Moment

Driving Moment given Factor of Safety

Go Driving Moment = Resisting Moment/Factor of Safety

Mobilised Shear resistance of Soil given Factor of Safety Formula

Mobilised Shear Resistance of Soil = Unit Cohesion/Factor of Safety
c_m = c_u/f_s

What is Shear Stress?

Shear stress, often denoted by τ (Greek: tau), is the component of stress coplanar with a material cross section. It arises from the shear force, the component of force vector parallel to the material cross section.

How to Calculate Mobilised Shear resistance of Soil given Factor of Safety?

Mobilised Shear resistance of Soil given Factor of Safety calculator uses Mobilised Shear Resistance of Soil = Unit Cohesion/Factor of Safety to calculate the Mobilised Shear Resistance of Soil, The Mobilised Shear resistance of Soil given Factor of Safety is defined as the ratio of mobilized shear resistance of soil to applied shear stress, ensuring stability in geotechnical engineering. Mobilised Shear Resistance of Soil is denoted by c_m symbol.

How to calculate Mobilised Shear resistance of Soil given Factor of Safety using this online calculator? To use this online calculator for Mobilised Shear resistance of Soil given Factor of Safety, enter Unit Cohesion (c_u) & Factor of Safety (f_s) and hit the calculate button. Here is how the Mobilised Shear resistance of Soil given Factor of Safety calculation can be explained with given input values -> 3.571429 = 10/2.8.

FAQ

What is Mobilised Shear resistance of Soil given Factor of Safety?

The Mobilised Shear resistance of Soil given Factor of Safety is defined as the ratio of mobilized shear resistance of soil to applied shear stress, ensuring stability in geotechnical engineering and is represented as c_m = c_u/f_s or Mobilised Shear Resistance of Soil = Unit Cohesion/Factor of Safety. Unit Cohesion is the force that holds together molecules or like particles within a soil & Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.

How to calculate Mobilised Shear resistance of Soil given Factor of Safety?

The Mobilised Shear resistance of Soil given Factor of Safety is defined as the ratio of mobilized shear resistance of soil to applied shear stress, ensuring stability in geotechnical engineering is calculated using Mobilised Shear Resistance of Soil = Unit Cohesion/Factor of Safety. To calculate Mobilised Shear resistance of Soil given Factor of Safety, you need Unit Cohesion (c_u) & Factor of Safety (f_s). With our tool, you need to enter the respective value for Unit Cohesion & Factor of Safety 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 Mobilised Shear Resistance of Soil?

In this formula, Mobilised Shear Resistance of Soil uses Unit Cohesion & Factor of Safety. We can use 1 other way(s) to calculate the same, which is/are as follows -

Mobilised Shear Resistance of Soil = (Weight of Body in Newtons*Distance*Radial Distance)/Length of Slip Arc

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