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

✖Driving Moment is the rotational effect of weight on the wedge.ⓘ Driving Moment [M_D]			+10% -10%
✖Weight of Body in Newtons is the force with which a body is pulled toward the earth.ⓘ Weight of Body in Newtons [W]			+10% -10%

✖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.ⓘ Distance between Line of Action and Line Passing through Center given Driving Moment [x']

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Formula

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

Formula

`"x'" = "M"_{"D"}/"W"`

Example

`"1.25m"="10kN*m"/"8N"`

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

STEP 0: Pre-Calculation Summary

Formula Used

Distance = Driving Moment/Weight of Body in Newtons
x' = M_D/W
This formula uses 3 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.
Driving Moment - (Measured in Kilonewton Meter) - Driving Moment is the rotational effect of weight on the wedge.
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.

STEP 1: Convert Input(s) to Base Unit

Driving Moment: 10 Kilonewton Meter --> 10 Kilonewton Meter No Conversion Required
Weight of Body in Newtons: 8 Newton --> 8 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

x' = M_D/W --> 10/8

Evaluating ... ...

x' = 1.25

STEP 3: Convert Result to Output's Unit

1.25 Meter --> No Conversion Required

FINAL ANSWER

1.25 Meter <-- Distance

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

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2200+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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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 and Line Passing through Center given Driving Moment Formula

Distance = Driving Moment/Weight of Body in Newtons
x' = M_D/W

What is Line of Action of Force?

The line of action of a force F is a geometric representation of how the force is applied. It is the line through the point at which the force is applied in the same direction as the vector F. The axis of rotation is the straight line around which the all the points of a body rotate in a circle.

How to Calculate Distance between Line of Action and Line Passing through Center given Driving Moment?

Distance between Line of Action and Line Passing through Center given Driving Moment calculator uses Distance = Driving Moment/Weight of Body in Newtons to calculate the Distance, The Distance between Line of Action and Line Passing through Center given Driving Moment is defined as the distance between the line of action and the centerline defines the driving moment in the context of rotational motion. Distance is denoted by x' symbol.

How to calculate Distance between Line of Action and Line Passing through Center given Driving Moment using this online calculator? To use this online calculator for Distance between Line of Action and Line Passing through Center given Driving Moment, enter Driving Moment (M_D) & Weight of Body in Newtons (W) and hit the calculate button. Here is how the Distance between Line of Action and Line Passing through Center given Driving Moment calculation can be explained with given input values -> 1.25 = 10000/8.

FAQ

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

How to calculate Distance between Line of Action and Line Passing through Center given Driving Moment?

The Distance between Line of Action and Line Passing through Center given Driving Moment is defined as the distance between the line of action and the centerline defines the driving moment in the context of rotational motion is calculated using Distance = Driving Moment/Weight of Body in Newtons. To calculate Distance between Line of Action and Line Passing through Center given Driving Moment, you need Driving Moment (M_D) & Weight of Body in Newtons (W). With our tool, you need to enter the respective value for Driving Moment & Weight of Body in Newtons 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 Driving Moment & Weight of Body in Newtons. We can use 2 other way(s) to calculate the same, which is/are as follows -

Distance = (Unit Cohesion*Length of Slip Arc*Radial Distance)/(Weight of Body in Newtons*Factor of Safety)
Distance = Mobilised Shear Resistance of Soil/((Weight of Body in Newtons*Radial Distance)/Length of Slip Arc)

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