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

STEP 0: Pre-Calculation Summary
Formula Used
Distance = (Unit Cohesion*Length of Slip Arc*Radial Distance)/(Weight of Body in Newtons*Factor of Safety)
x' = (cu*L'*dradial)/(W*fs)
This formula uses 6 Variables
Variables Used
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.
Unit Cohesion - (Measured in Pascal) - Unit Cohesion is the force that holds together molecules or like particles within a soil.
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.
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.
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
Length of Slip Arc: 3.0001 Meter --> 3.0001 Meter No Conversion Required
Radial Distance: 1.5 Meter --> 1.5 Meter No Conversion Required
Weight of Body in Newtons: 8 Newton --> 8 Newton No Conversion Required
Factor of Safety: 2.8 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
x' = (cu*L'*dradial)/(W*fs) --> (10*3.0001*1.5)/(8*2.8)
Evaluating ... ...
x' = 2.00899553571429
STEP 3: Convert Result to Output's Unit
2.00899553571429 Meter --> No Conversion Required
FINAL ANSWER
2.00899553571429 2.008996 Meter <-- Distance
(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

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

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

What is Factor of Safety?

The ratio of a structure's absolute strength (structural capability) to actual applied load; this is a measure of the reliability of a particular design.

How to Calculate Distance between Line of Action of Weight and Line Passing through Center?

Distance between Line of Action of Weight and Line Passing through Center calculator uses Distance = (Unit Cohesion*Length of Slip Arc*Radial Distance)/(Weight of Body in Newtons*Factor of Safety) to calculate the Distance, The Distance between Line of Action of Weight and Line Passing through Center is defined as the lever arm, crucial in calculating torque and rotational equilibrium. Distance is denoted by x' symbol.

How to calculate Distance between Line of Action of Weight and Line Passing through Center using this online calculator? To use this online calculator for Distance between Line of Action of Weight and Line Passing through Center, enter Unit Cohesion (cu), Length of Slip Arc (L'), Radial Distance (dradial), Weight of Body in Newtons (W) & Factor of Safety (fs) and hit the calculate button. Here is how the Distance between Line of Action of Weight and Line Passing through Center calculation can be explained with given input values -> 2.008996 = (10*3.0001*1.5)/(8*2.8).

FAQ

What is Distance between Line of Action of Weight and Line Passing through Center?
The Distance between Line of Action of Weight and Line Passing through Center is defined as the lever arm, crucial in calculating torque and rotational equilibrium and is represented as x' = (cu*L'*dradial)/(W*fs) or Distance = (Unit Cohesion*Length of Slip Arc*Radial Distance)/(Weight of Body in Newtons*Factor of Safety). Unit Cohesion is the force that holds together molecules or like particles within a soil, 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, Weight of Body in Newtons is the force with which a body is pulled toward the earth & Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.
How to calculate Distance between Line of Action of Weight and Line Passing through Center?
The Distance between Line of Action of Weight and Line Passing through Center is defined as the lever arm, crucial in calculating torque and rotational equilibrium is calculated using Distance = (Unit Cohesion*Length of Slip Arc*Radial Distance)/(Weight of Body in Newtons*Factor of Safety). To calculate Distance between Line of Action of Weight and Line Passing through Center, you need Unit Cohesion (cu), Length of Slip Arc (L'), Radial Distance (dradial), Weight of Body in Newtons (W) & Factor of Safety (fs). With our tool, you need to enter the respective value for Unit Cohesion, Length of Slip Arc, Radial Distance, Weight of Body in Newtons & 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 Distance?
In this formula, Distance uses Unit Cohesion, Length of Slip Arc, Radial Distance, Weight of Body in Newtons & Factor of Safety. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Distance = Driving Moment/Weight of Body in Newtons
  • Distance = Mobilised Shear Resistance of Soil/((Weight of Body in Newtons*Radial Distance)/Length of Slip Arc)
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