✖Unit Cohesion is the shear strength property of a soil that is solely attributed to cohesive forces between soil particles.ⓘ Unit Cohesion [c_u]			+10% -10%
✖Factor of Safety is a measure of the load-carrying capacity of a structure or material compared to the actual load or stress that is applied to it.ⓘ Factor of Safety [f_s]			+10% -10%

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

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Formula

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Mobilized 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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Mobilized Shear Resistance of Soil given Factor of Safety Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Mobilized Shear Resistance of Soil - (Measured in Pascal) - Mobilized 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 shear strength property of a soil that is solely attributed to cohesive forces between soil particles.
Factor of Safety - Factor of Safety is a measure of the load-carrying capacity of a structure or material compared to the actual load or stress that is applied to it.

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 <-- Mobilized 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 » Mobilized Shear Resistance of Soil given Factor of Safety

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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 in Soil Mechanics)-(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 in Soil Mechanics = ((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 of Soil))))/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 of Soil))

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 of Soil))))

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 between LOA and COR))

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

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

Normal Component given Resisting Force from Coulomb's Equation

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

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

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

Go Distance between LOA and COR = Mobilized Shear Resistance of Soil/((Weight of Body in Newtons*Radial Distance)/Length of Slip Arc)

Radial Distance from Centre of Rotation given Mobilized Shear Resistance of Soil

Go Radial Distance = Mobilized Shear Resistance of Soil/((Weight of Body in Newtons*Distance between LOA and COR)/Length of Slip Arc)

Mobilized Shear Resistance of Soil given Weight of Soil on Wedge

Go Mobilized Shear Resistance of Soil = (Weight of Body in Newtons*Distance between LOA and COR*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 in Soil Mechanics = 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 in Soil Mechanics

Moment of Resistance given Factor of Safety

Go Moment of Resistance with Factor of Safety = Factor of Safety*Driving Moment

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

Go Distance between LOA and COR = Driving Moment/Weight of Body in Newtons

Driving Moment given Weight of Soil on Wedge

Go Driving Moment = Weight of Body in Newtons*Distance between LOA and COR

Mobilized Shear Resistance of Soil given Factor of Safety

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

Driving Moment given Factor of Safety

Go Driving Moment = Resisting Moment/Factor of Safety

Mobilized Shear Resistance of Soil given Factor of Safety Formula

Mobilized 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 Mobilized Shear Resistance of Soil given Factor of Safety?

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

How to calculate Mobilized Shear Resistance of Soil given Factor of Safety using this online calculator? To use this online calculator for Mobilized 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 Mobilized Shear Resistance of Soil given Factor of Safety calculation can be explained with given input values -> 3.571429 = 10/2.8.

FAQ

What is Mobilized Shear Resistance of Soil given Factor of Safety?

The Mobilized Shear Resistance of Soil given Factor of Safety formula 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 Mobilized Shear Resistance of Soil = Unit Cohesion/Factor of Safety. Unit Cohesion is the shear strength property of a soil that is solely attributed to cohesive forces between soil particles & Factor of Safety is a measure of the load-carrying capacity of a structure or material compared to the actual load or stress that is applied to it.

How to calculate Mobilized Shear Resistance of Soil given Factor of Safety?

The Mobilized Shear Resistance of Soil given Factor of Safety formula is defined as the ratio of mobilized shear resistance of soil to applied shear stress, ensuring stability in geotechnical engineering is calculated using Mobilized Shear Resistance of Soil = Unit Cohesion/Factor of Safety. To calculate Mobilized 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 Mobilized Shear Resistance of Soil?

In this formula, Mobilized 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 -

Mobilized Shear Resistance of Soil = (Weight of Body in Newtons*Distance between LOA and COR*Radial Distance)/Length of Slip Arc

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