Radial Distance from Centre of Rotation given Moment of Resistance Calculator

✖Resisting Moment is the moment (or torque) that counteracts the applied moment or load that tends to cause rotation or failure in a soil mass or structure.ⓘ Resisting Moment [M_R]			+10% -10%
✖Unit Cohesion is the shear strength property of a soil that is solely attributed to cohesive forces between soil particles.ⓘ 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 = \frac{M R}{c u \cdot L'}

Example

1.501617 m = \frac{45.05 kN*m}{10 Pa \cdot 3.0001 m}

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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 the moment (or torque) that counteracts the applied moment or load that tends to cause rotation or failure in a soil mass or structure.
Unit Cohesion - (Measured in Pascal) - Unit Cohesion is the shear strength property of a soil that is solely attributed to cohesive forces between soil particles.
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: 45.05 Kilonewton Meter --> 45.05 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^') --> 45.05/(10*3.0001)

Evaluating ... ...

d_radial = 1.50161661277957

STEP 3: Convert Result to Output's Unit

1.50161661277957 Meter --> No Conversion Required

FINAL ANSWER

1.50161661277957 ≈ 1.501617 Meter <-- Radial Distance

(Calculation completed in 00.020 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2100+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< The Swedish Slip Circle Method Calculators

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)

Moment of Resistance given Factor of Safety

Go Moment of Resistance with Factor of Safety = 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 formula 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 -> 0.666644 = 45050/(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 formula 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 the moment (or torque) that counteracts the applied moment or load that tends to cause rotation or failure in a soil mass or structure, Unit Cohesion is the shear strength property of a soil that is solely attributed to cohesive forces between soil particles & 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 formula 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 between LOA and COR))
Radial Distance = Mobilized Shear Resistance of Soil/((Weight of Body in Newtons*Distance between LOA and COR)/Length of Slip Arc)

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