Radial Distance from Centre of Rotation given Moment of Resistance Calculator

✖Resisting Moment is a moment produced by internal tensile and compressive forces.ⓘ Resisting Moment [M_R]			+10% -10%
✖Unit Cohesion is the force that holds together molecules or like particles within a soil.ⓘ Unit Cohesion [c_u]			+10% -10%
✖Length of Slip Arc is the length of the arc formed by slip circle.ⓘ Length of Slip Arc [L^']			+10% -10%

✖Radial Distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.ⓘ Radial Distance from Centre of Rotation given Moment of Resistance [d_radial]

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Formula

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Radial Distance from Centre of Rotation given Moment of Resistance

Formula

`"d"_{"radial"} = "M"_{"R"}/("c"_{"u"}*"L"^{"'"})`

Example

`"0.666644m"="20kN*m"/("10Pa"*"3.0001m")`

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Radial Distance from Centre of Rotation given Moment of Resistance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radial Distance = Resisting Moment/(Unit Cohesion*Length of Slip Arc)
d_radial = M_R/(c_u*L^')
This formula uses 4 Variables

Variables Used

Radial Distance - (Measured in Meter) - Radial Distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.
Resisting Moment - (Measured in Kilonewton Meter) - Resisting Moment is a moment produced by internal tensile and compressive forces.
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.

STEP 1: Convert Input(s) to Base Unit

Resisting Moment: 20 Kilonewton Meter --> 20 Kilonewton Meter No Conversion Required
Unit Cohesion: 10 Pascal --> 10 Pascal No Conversion Required
Length of Slip Arc: 3.0001 Meter --> 3.0001 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_radial = M_R/(c_u*L^') --> 20/(10*3.0001)

Evaluating ... ...

d_radial = 0.66664444518516

STEP 3: Convert Result to Output's Unit

0.66664444518516 Meter --> No Conversion Required

FINAL ANSWER

0.66664444518516 ≈ 0.666644 Meter <-- Radial 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 » Radial Distance from Centre of Rotation given Moment of Resistance

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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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

Radial Distance from Centre of Rotation given Moment of Resistance Formula

Radial Distance = Resisting Moment/(Unit Cohesion*Length of Slip Arc)
d_radial = M_R/(c_u*L^')

What is Radial Distance?

The radial distance is also called the radius or radial coordinate. The polar angle may be called colatitude, zenith angle, normal angle, or inclination angle. The use of symbols and the order of the coordinates differs among sources and disciplines.

How to Calculate Radial Distance from Centre of Rotation given Moment of Resistance?

Radial Distance from Centre of Rotation given Moment of Resistance calculator uses Radial Distance = Resisting Moment/(Unit Cohesion*Length of Slip Arc) to calculate the Radial Distance, The Radial Distance from Centre of Rotation given Moment of Resistance is defined as the perpendicular distance from a point to the axis of rotation. Moment of resistance measures a material's ability to resist deformation under rotation. Radial Distance is denoted by d_radial symbol.

How to calculate Radial Distance from Centre of Rotation given Moment of Resistance using this online calculator? To use this online calculator for Radial Distance from Centre of Rotation given Moment of Resistance, enter Resisting Moment (M_R), Unit Cohesion (c_u) & Length of Slip Arc (L^') and hit the calculate button. Here is how the Radial Distance from Centre of Rotation given Moment of Resistance calculation can be explained with given input values -> 666.6667 = 20000/(10*3.0001).

FAQ

What is Radial Distance from Centre of Rotation given Moment of Resistance?

The Radial Distance from Centre of Rotation given Moment of Resistance is defined as the perpendicular distance from a point to the axis of rotation. Moment of resistance measures a material's ability to resist deformation under rotation and is represented as d_radial = M_R/(c_u*L^') or Radial Distance = Resisting Moment/(Unit Cohesion*Length of Slip Arc). Resisting Moment is a moment produced by internal tensile and compressive forces, 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.

How to calculate Radial Distance from Centre of Rotation given Moment of Resistance?

The Radial Distance from Centre of Rotation given Moment of Resistance is defined as the perpendicular distance from a point to the axis of rotation. Moment of resistance measures a material's ability to resist deformation under rotation is calculated using Radial Distance = Resisting Moment/(Unit Cohesion*Length of Slip Arc). To calculate Radial Distance from Centre of Rotation given Moment of Resistance, you need Resisting Moment (M_R), Unit Cohesion (c_u) & Length of Slip Arc (L^'). With our tool, you need to enter the respective value for Resisting Moment, Unit Cohesion & Length of Slip Arc 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 Radial Distance?

In this formula, Radial Distance uses Resisting Moment, Unit Cohesion & Length of Slip Arc. We can use 3 other way(s) to calculate the same, which is/are as follows -

Radial Distance = (360*Length of Slip Arc)/(2*pi*Arc Angle*(180/pi))
Radial Distance = Factor of Safety/((Unit Cohesion*Length of Slip Arc)/(Weight of Body in Newtons*Distance))
Radial Distance = Mobilised Shear Resistance of Soil/((Weight of Body in Newtons*Distance)/Length of Slip Arc)

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