Unit Cohesion given Factor of Safety Solution

STEP 0: Pre-Calculation Summary
Formula Used
Unit Cohesion = Factor of Safety*(Weight of Body in Newtons*Distance)/(Length of Slip Arc*Radial Distance)
cu = fs*(W*x')/(L'*dradial)
This formula uses 6 Variables
Variables Used
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.
Weight of Body in Newtons - (Measured in Newton) - Weight of Body in Newtons is the force with which a body is pulled toward the earth.
Distance - (Measured in Meter) - Distance between the line of action and the line passing through the center is the perpendicular distance from a point to a line in a geometric configuration.
Length of Slip Arc - (Measured in Meter) - Length of Slip Arc is the length of the arc formed by slip circle.
Radial Distance - (Measured in Meter) - Radial Distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.
STEP 1: Convert Input(s) to Base Unit
Factor of Safety: 2.8 --> No Conversion Required
Weight of Body in Newtons: 8 Newton --> 8 Newton No Conversion Required
Distance: 1.25 Meter --> 1.25 Meter No Conversion Required
Length of Slip Arc: 3.0001 Meter --> 3.0001 Meter No Conversion Required
Radial Distance: 1.5 Meter --> 1.5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
cu = fs*(W*x')/(L'*dradial) --> 2.8*(8*1.25)/(3.0001*1.5)
Evaluating ... ...
cu = 6.22201482172816
STEP 3: Convert Result to Output's Unit
6.22201482172816 Pascal --> No Conversion Required
FINAL ANSWER
6.22201482172816 6.222015 Pascal <-- Unit Cohesion
(Calculation completed in 00.004 seconds)

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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 Factor of Safety Formula

Unit Cohesion = Factor of Safety*(Weight of Body in Newtons*Distance)/(Length of Slip Arc*Radial Distance)
cu = fs*(W*x')/(L'*dradial)

What is Cohesion?

Cohesion, in physics, the intermolecular attractive force acting between two adjacent portions of a substance, particularly of a solid or liquid. It is this force that holds a piece of matter together.

How to Calculate Unit Cohesion given Factor of Safety?

Unit Cohesion given Factor of Safety calculator uses Unit Cohesion = Factor of Safety*(Weight of Body in Newtons*Distance)/(Length of Slip Arc*Radial Distance) to calculate the Unit Cohesion, The Unit Cohesion given Factor of Safety is defined as the measure of a group's solidarity and effectiveness, influenced by the factor of safety in teamwork. Unit Cohesion is denoted by cu symbol.

How to calculate Unit Cohesion given Factor of Safety using this online calculator? To use this online calculator for Unit Cohesion given Factor of Safety, enter Factor of Safety (fs), Weight of Body in Newtons (W), Distance (x'), Length of Slip Arc (L') & Radial Distance (dradial) and hit the calculate button. Here is how the Unit Cohesion given Factor of Safety calculation can be explained with given input values -> 6.222015 = 2.8*(8*1.25)/(3.0001*1.5).

FAQ

What is Unit Cohesion given Factor of Safety?
The Unit Cohesion given Factor of Safety is defined as the measure of a group's solidarity and effectiveness, influenced by the factor of safety in teamwork and is represented as cu = fs*(W*x')/(L'*dradial) or Unit Cohesion = Factor of Safety*(Weight of Body in Newtons*Distance)/(Length of Slip Arc*Radial Distance). Factor of Safety expresses how much stronger a system is than it needs to be for an intended load, Weight of Body in Newtons is the force with which a body is pulled toward the earth, Distance between the line of action and the line passing through the center is the perpendicular distance from a point to a line in a geometric configuration, Length of Slip Arc is the length of the arc formed by slip circle & Radial Distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.
How to calculate Unit Cohesion given Factor of Safety?
The Unit Cohesion given Factor of Safety is defined as the measure of a group's solidarity and effectiveness, influenced by the factor of safety in teamwork is calculated using Unit Cohesion = Factor of Safety*(Weight of Body in Newtons*Distance)/(Length of Slip Arc*Radial Distance). To calculate Unit Cohesion given Factor of Safety, you need Factor of Safety (fs), Weight of Body in Newtons (W), Distance (x'), Length of Slip Arc (L') & Radial Distance (dradial). With our tool, you need to enter the respective value for Factor of Safety, Weight of Body in Newtons, Distance, Length of Slip Arc & Radial Distance 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, Weight of Body in Newtons, Distance, Length of Slip Arc & Radial Distance. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Unit Cohesion = Factor of Safety*Mobilised Shear Resistance of Soil
  • 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)-(Sum of all Normal Component*tan((Angle of Internal Friction*pi)/180)))/Length of Slip Arc
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