Radial Distance from Center of Rotation given Length of Slip Arc Calculator

✖Length of Slip Arc is the length of the arc formed by slip circle.ⓘ Length of Slip Arc [L^']			+10% -10%
✖Arc Angle is the angle formed at the arc of slip circle.ⓘ Arc Angle [δ]			+10% -10%

✖Radial Distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.ⓘ Radial Distance from Center of Rotation given Length of Slip Arc [d_radial]

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Formula

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Radial Distance from Center of Rotation given Length of Slip Arc

Formula

d radial = \frac{360 \cdot L'}{2 \cdot π \cdot δ \cdot (\frac{180}{π})}

Example

1.499975 m = \frac{360 \cdot 3.0001 m}{2 \cdot π \cdot 2.0001 rad \cdot (\frac{180}{π})}

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Radial Distance from Center of Rotation given Length of Slip Arc Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radial Distance = (360*Length of Slip Arc)/(2*pi*Arc Angle*(180/pi))
d_radial = (360*L^')/(2*pi*δ*(180/pi))
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Radial Distance - (Measured in Meter) - Radial Distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.
Length of Slip Arc - (Measured in Meter) - Length of Slip Arc is the length of the arc formed by slip circle.
Arc Angle - (Measured in Radian) - Arc Angle is the angle formed at the arc of slip circle.

STEP 1: Convert Input(s) to Base Unit

Length of Slip Arc: 3.0001 Meter --> 3.0001 Meter No Conversion Required
Arc Angle: 2.0001 Radian --> 2.0001 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_radial = (360*L^')/(2*pi*δ*(180/pi)) --> (360*3.0001)/(2*pi*2.0001*(180/pi))

Evaluating ... ...

d_radial = 1.49997500124994

STEP 3: Convert Result to Output's Unit

1.49997500124994 Meter --> No Conversion Required

FINAL ANSWER

1.49997500124994 ≈ 1.499975 Meter <-- Radial Distance

(Calculation completed in 00.007 seconds)

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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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< 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 Center of Rotation given Length of Slip Arc Formula

Radial Distance = (360*Length of Slip Arc)/(2*pi*Arc Angle*(180/pi))
d_radial = (360*L^')/(2*pi*δ*(180/pi))

What is Center of Rotation?

The center of rotation is a point about which a plane figure rotates. This point does not move during the rotation.

What is Slip Circle?

The slip circle method of slices is commonly used in the analyses of slope stability and bearing capacity for multi-layered ground. However, in the case of ground consisting of horizontal sandy layer, it is known that modified Fellenius׳ method tends to underestimate the factor of safety, while simplified Bishop׳s method tends to overestimate the factor of safety.

How to Calculate Radial Distance from Center of Rotation given Length of Slip Arc?

Radial Distance from Center of Rotation given Length of Slip Arc calculator uses Radial Distance = (360*Length of Slip Arc)/(2*pi*Arc Angle*(180/pi)) to calculate the Radial Distance, The Radial Distance from Center of Rotation given Length of Slip Arc formula is defined as the distance from the center of a circle (or circular slip surface) to a point on the slip arc, where the rotational movement or failure is analyzed, considering length of slip arc. Radial Distance is denoted by d_radial symbol.

How to calculate Radial Distance from Center of Rotation given Length of Slip Arc using this online calculator? To use this online calculator for Radial Distance from Center of Rotation given Length of Slip Arc, enter Length of Slip Arc (L^') & Arc Angle (δ) and hit the calculate button. Here is how the Radial Distance from Center of Rotation given Length of Slip Arc calculation can be explained with given input values -> 0.929954 = (360*3.0001)/(2*pi*2.0001*(180/pi)).

FAQ

What is Radial Distance from Center of Rotation given Length of Slip Arc?

The Radial Distance from Center of Rotation given Length of Slip Arc formula is defined as the distance from the center of a circle (or circular slip surface) to a point on the slip arc, where the rotational movement or failure is analyzed, considering length of slip arc and is represented as d_radial = (360*L^')/(2*pi*δ*(180/pi)) or Radial Distance = (360*Length of Slip Arc)/(2*pi*Arc Angle*(180/pi)). Length of Slip Arc is the length of the arc formed by slip circle & Arc Angle is the angle formed at the arc of slip circle.

How to calculate Radial Distance from Center of Rotation given Length of Slip Arc?

The Radial Distance from Center of Rotation given Length of Slip Arc formula is defined as the distance from the center of a circle (or circular slip surface) to a point on the slip arc, where the rotational movement or failure is analyzed, considering length of slip arc is calculated using Radial Distance = (360*Length of Slip Arc)/(2*pi*Arc Angle*(180/pi)). To calculate Radial Distance from Center of Rotation given Length of Slip Arc, you need Length of Slip Arc (L^') & Arc Angle (δ). With our tool, you need to enter the respective value for Length of Slip Arc & Arc Angle 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 Length of Slip Arc & Arc Angle. We can use 3 other way(s) to calculate the same, which is/are as follows -

Radial Distance = Factor of Safety/((Unit Cohesion*Length of Slip Arc)/(Weight of Body in Newtons*Distance between LOA and COR))
Radial Distance = Resisting Moment/(Unit Cohesion*Length of Slip Arc)
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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