Unit Cohesion given Resisting Force from Coulomb's Equation Calculator

✖Resisting Force is a force, or the vector sum of numerous forces, whose direction is opposite to the motion of a body.ⓘ Resisting Force [F_r]			+10% -10%
✖Normal Component of Force is the perpendicular component of force.ⓘ Normal Component of Force [N]			+10% -10%
✖Angle of Internal Friction is the angle measured between the normal force and resultant force .ⓘ Angle of Internal Friction [φ]			+10% -10%
✖Curve Length is the total extent of a curve, measured along its path, quantifying its spatial reach or boundary span.ⓘ Curve Length [ΔL]			+10% -10%

✖Unit Cohesion is the force that holds together molecules or like particles within a soil.ⓘ Unit Cohesion given Resisting Force from Coulomb's Equation [c_u]

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Formula

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Unit Cohesion given Resisting Force from Coulomb's Equation

Formula

`"c"_{"u"} = ("F"_{"r"}-("N"*tan(("φ"))))/"ΔL"`

Example

`"9.940783Pa"=("35N"-("5N"*tan(("46°"))))/"3m"`

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Unit Cohesion given Resisting Force from Coulomb's Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Unit Cohesion = (Resisting Force-(Normal Component of Force*tan((Angle of Internal Friction))))/Curve Length
c_u = (F_r-(N*tan((φ))))/ΔL
This formula uses 1 Functions, 5 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)

Variables Used

Unit Cohesion - (Measured in Pascal) - Unit Cohesion is the force that holds together molecules or like particles within a soil.
Resisting Force - (Measured in Newton) - Resisting Force is a force, or the vector sum of numerous forces, whose direction is opposite to the motion of a body.
Normal Component of Force - (Measured in Newton) - Normal Component of Force is the perpendicular component of force.
Angle of Internal Friction - (Measured in Radian) - Angle of Internal Friction is the angle measured between the normal force and resultant force .
Curve Length - (Measured in Meter) - Curve Length is the total extent of a curve, measured along its path, quantifying its spatial reach or boundary span.

STEP 1: Convert Input(s) to Base Unit

Resisting Force: 35 Newton --> 35 Newton No Conversion Required
Normal Component of Force: 5 Newton --> 5 Newton No Conversion Required
Angle of Internal Friction: 46 Degree --> 0.802851455917241 Radian (Check conversion here)
Curve Length: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

c_u = (F_r-(N*tan((φ))))/ΔL --> (35-(5*tan((0.802851455917241))))/3

Evaluating ... ...

c_u = 9.94078281034957

STEP 3: Convert Result to Output's Unit

9.94078281034957 Pascal --> No Conversion Required

FINAL ANSWER

9.94078281034957 ≈ 9.940783 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 Resisting Force from Coulomb's Equation

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Birsa Institute of Technology (BIT), Sindri

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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

Unit Cohesion given Resisting Force from Coulomb's Equation Formula

Unit Cohesion = (Resisting Force-(Normal Component of Force*tan((Angle of Internal Friction))))/Curve Length
c_u = (F_r-(N*tan((φ))))/ΔL

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.

How to Calculate Unit Cohesion given Resisting Force from Coulomb's Equation?

Unit Cohesion given Resisting Force from Coulomb's Equation calculator uses Unit Cohesion = (Resisting Force-(Normal Component of Force*tan((Angle of Internal Friction))))/Curve Length to calculate the Unit Cohesion, Unit Cohesion given Resisting Force from Coulomb's Equation calculates value of unit cohesion when we have prior information of other parameters used. Unit Cohesion is denoted by c_u symbol.

How to calculate Unit Cohesion given Resisting Force from Coulomb's Equation using this online calculator? To use this online calculator for Unit Cohesion given Resisting Force from Coulomb's Equation, enter Resisting Force (F_r), Normal Component of Force (N), Angle of Internal Friction (φ) & Curve Length (ΔL) and hit the calculate button. Here is how the Unit Cohesion given Resisting Force from Coulomb's Equation calculation can be explained with given input values -> -0.725884 = (35-(5*tan((0.802851455917241))))/3.

FAQ

What is Unit Cohesion given Resisting Force from Coulomb's Equation?

Unit Cohesion given Resisting Force from Coulomb's Equation calculates value of unit cohesion when we have prior information of other parameters used and is represented as c_u = (F_r-(N*tan((φ))))/ΔL or Unit Cohesion = (Resisting Force-(Normal Component of Force*tan((Angle of Internal Friction))))/Curve Length. Resisting Force is a force, or the vector sum of numerous forces, whose direction is opposite to the motion of a body, Normal Component of Force is the perpendicular component of force, Angle of Internal Friction is the angle measured between the normal force and resultant force & Curve Length is the total extent of a curve, measured along its path, quantifying its spatial reach or boundary span.

How to calculate Unit Cohesion given Resisting Force from Coulomb's Equation?

Unit Cohesion given Resisting Force from Coulomb's Equation calculates value of unit cohesion when we have prior information of other parameters used is calculated using Unit Cohesion = (Resisting Force-(Normal Component of Force*tan((Angle of Internal Friction))))/Curve Length. To calculate Unit Cohesion given Resisting Force from Coulomb's Equation, you need Resisting Force (F_r), Normal Component of Force (N), Angle of Internal Friction (φ) & Curve Length (ΔL). With our tool, you need to enter the respective value for Resisting Force, Normal Component of Force, Angle of Internal Friction & Curve Length 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 Resisting Force, Normal Component of Force, Angle of Internal Friction & Curve Length. 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)/(Length of Slip Arc*Radial Distance)
Unit Cohesion = Factor of Safety*Mobilised Shear Resistance of Soil
Unit Cohesion = ((Factor of Safety*Sum of all Tangential Component)-(Sum of all Normal Component*tan((Angle of Internal Friction*pi)/180)))/Length of Slip Arc

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