✖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 [c_m]			+10% -10%

✖Unit Cohesion is the shear strength property of a soil that is solely attributed to cohesive forces between soil particles.ⓘ Unit Cohesion given Mobilized Shear Resistance of Soil [c_u]

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Formula

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Unit Cohesion given Mobilized Shear Resistance of Soil

Formula

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

Example

`"9.996Pa"="2.8"*"3.57Pa"`

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Unit Cohesion given Mobilized Shear Resistance of Soil Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Factor of Safety: 2.8 --> No Conversion Required
Mobilized Shear Resistance of Soil: 3.57 Pascal --> 3.57 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

c_u = f_s*c_m --> 2.8*3.57

Evaluating ... ...

c_u = 9.996

STEP 3: Convert Result to Output's Unit

9.996 Pascal --> No Conversion Required

FINAL ANSWER

9.996 Pascal <-- Unit Cohesion

(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 » Unit Cohesion given Mobilized Shear Resistance of Soil

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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

Unit Cohesion given Mobilized Shear Resistance of Soil Formula

Unit Cohesion = Factor of Safety*Mobilized Shear Resistance of Soil
c_u = f_s*c_m

What is Cohesion?

A common example of cohesion is the behavior of water molecules. Each water molecule can form four hydrogen bonds with neighbor molecules. ... Another cohesive substance is mercury. Mercury atoms are strongly attracted to each other; they bead together on surfaces.

How to Calculate Unit Cohesion given Mobilized Shear Resistance of Soil?

Unit Cohesion given Mobilized Shear Resistance of Soil calculator uses Unit Cohesion = Factor of Safety*Mobilized Shear Resistance of Soil to calculate the Unit Cohesion, The Unit Cohesion given Mobilized Shear Resistance of Soil is defined as the shear strength of cohesive soils due to molecular attraction between particles. It's a critical parameter in stability analyses of slopes, foundations, and retaining walls. Unit Cohesion is denoted by c_u symbol.

How to calculate Unit Cohesion given Mobilized Shear Resistance of Soil using this online calculator? To use this online calculator for Unit Cohesion given Mobilized Shear Resistance of Soil, enter Factor of Safety (f_s) & Mobilized Shear Resistance of Soil (c_m) and hit the calculate button. Here is how the Unit Cohesion given Mobilized Shear Resistance of Soil calculation can be explained with given input values -> 22.568 = 2.8*3.57.

FAQ

What is Unit Cohesion given Mobilized Shear Resistance of Soil?

The Unit Cohesion given Mobilized Shear Resistance of Soil is defined as the shear strength of cohesive soils due to molecular attraction between particles. It's a critical parameter in stability analyses of slopes, foundations, and retaining walls and is represented as c_u = f_s*c_m or Unit Cohesion = Factor of Safety*Mobilized Shear Resistance of Soil. 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 & Mobilized Shear Resistance of Soil is a result of friction and interlocking of particles, and possibly cementation or bonding at particle contacts.

How to calculate Unit Cohesion given Mobilized Shear Resistance of Soil?

The Unit Cohesion given Mobilized Shear Resistance of Soil is defined as the shear strength of cohesive soils due to molecular attraction between particles. It's a critical parameter in stability analyses of slopes, foundations, and retaining walls is calculated using Unit Cohesion = Factor of Safety*Mobilized Shear Resistance of Soil. To calculate Unit Cohesion given Mobilized Shear Resistance of Soil, you need Factor of Safety (f_s) & Mobilized Shear Resistance of Soil (c_m). With our tool, you need to enter the respective value for Factor of Safety & Mobilized Shear Resistance of Soil 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 Unit Cohesion?

In this formula, Unit Cohesion uses Factor of Safety & Mobilized Shear Resistance of Soil. We can use 3 other way(s) to calculate the same, which is/are as follows -

Unit Cohesion = Factor of Safety*(Weight of Body in Newtons*Distance between LOA and COR)/(Length of Slip Arc*Radial Distance)
Unit Cohesion = (Resisting Force-(Normal Component of Force*tan((Angle of Internal Friction))))/Curve Length
Unit Cohesion = ((Factor of Safety*Sum of All Tangential Component in Soil Mechanics)-(Sum of all Normal Component*tan((Angle of Internal Friction*pi)/180)))/Length of Slip Arc

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