Length of Slip Arc Calculator

✖Radial Distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.ⓘ Radial Distance [d_radial]			+10% -10%
✖Arc Angle is the angle formed at the arc of slip circle.ⓘ Arc Angle [δ]			+10% -10%

✖Length of Slip Arc is the length of the arc formed by slip circle.ⓘ Length of Slip Arc [L^']

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Length of Slip Arc Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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

Radial Distance: 1.5 Meter --> 1.5 Meter No Conversion Required
Arc Angle: 2.0001 Radian --> 2.0001 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L^' = (2*pi*d_radial*δ*(180/pi))/360 --> (2*pi*1.5*2.0001*(180/pi))/360

Evaluating ... ...

L^' = 3.00015

STEP 3: Convert Result to Output's Unit

3.00015 Meter --> No Conversion Required

FINAL ANSWER

3.00015 Meter <-- Length of Slip Arc

(Calculation completed in 00.020 seconds)

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Credits

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

LaTeX Go Radial Distance = (360*Length of Slip Arc)/(2*pi*Arc Angle*(180/pi))

Arc Angle given Length of Slip Arc

LaTeX Go Arc Angle = (360*Length of Slip Arc)/(2*pi*Radial Distance)*(pi/180)

Moment of Resistance given Factor of Safety

LaTeX Go Moment of Resistance with Factor of Safety = Factor of Safety*Driving Moment

Driving Moment given Factor of Safety

LaTeX Go Driving Moment = Resisting Moment/Factor of Safety

Length of Slip Arc Formula

LaTeX Go

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

What is Slip Circle Method?

The slip circle method of slices is commonly used in the analyses of slope stability and bearing capacity for multi-layered ground.

How to Calculate Length of Slip Arc?

Length of Slip Arc calculator uses Length of Slip Arc = (2*pi*Radial Distance*Arc Angle*(180/pi))/360 to calculate the Length of Slip Arc, The Length of Slip Arc formula is defined as the length along which potential slip or failure could occur within a soil mass. This concept is particularly relevant in slope stability analysis and retaining wall design. Length of Slip Arc is denoted by L^' symbol.

How to calculate Length of Slip Arc using this online calculator? To use this online calculator for Length of Slip Arc, enter Radial Distance (d_radial) & Arc Angle (δ) and hit the calculate button. Here is how the Length of Slip Arc calculation can be explained with given input values -> 3.00015 = (2*pi*1.5*2.0001*(180/pi))/360.

FAQ

What is Length of Slip Arc?

The Length of Slip Arc formula is defined as the length along which potential slip or failure could occur within a soil mass. This concept is particularly relevant in slope stability analysis and retaining wall design and is represented as L^' = (2*pi*d_radial*δ*(180/pi))/360 or Length of Slip Arc = (2*pi*Radial Distance*Arc Angle*(180/pi))/360. Radial Distance is defined as distance between whisker sensor's pivot point to whisker-object contact point & Arc Angle is the angle formed at the arc of slip circle.

How to calculate Length of Slip Arc?

The Length of Slip Arc formula is defined as the length along which potential slip or failure could occur within a soil mass. This concept is particularly relevant in slope stability analysis and retaining wall design is calculated using Length of Slip Arc = (2*pi*Radial Distance*Arc Angle*(180/pi))/360. To calculate Length of Slip Arc, you need Radial Distance (d_radial) & Arc Angle (δ). With our tool, you need to enter the respective value for Radial Distance & 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 Length of Slip Arc?

In this formula, Length of Slip Arc uses Radial Distance & Arc Angle. We can use 2 other way(s) to calculate the same, which is/are as follows -

Length of Slip Arc = ((Resisting Moment/Radius of Slip Circle)-(Sum of all Normal Component*tan((Angle of Internal Friction of Soil))))/Unit Cohesion
Length of Slip Arc = ((Factor of Safety*Sum of All Tangential Component in Soil Mechanics)-(Sum of all Normal Component*tan((Angle of Internal Friction*pi)/180)))/Unit Cohesion

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