Arc Angle 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%
✖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 given Length of Slip Arc [δ]

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Arc Angle given Length of Slip Arc Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Arc Angle - (Measured in Radian) - Arc Angle is the angle formed at the arc of slip circle.
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.

STEP 1: Convert Input(s) to Base Unit

Length of Slip Arc: 3.0001 Meter --> 3.0001 Meter No Conversion Required
Radial Distance: 1.5 Meter --> 1.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δ = (360*L^')/(2*pi*d_radial)*(pi/180) --> (360*3.0001)/(2*pi*1.5)*(pi/180)

Evaluating ... ...

δ = 2.00006666666667

STEP 3: Convert Result to Output's Unit

2.00006666666667 Radian --> No Conversion Required

FINAL ANSWER

2.00006666666667 ≈ 2.000067 Radian <-- Arc Angle

(Calculation completed in 00.004 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

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Arc Angle given Length of Slip Arc Formula

LaTeX Go

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

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.

What is Slip Failure?

Slip or failure zone is a thin zone of soil that reaches the critical state or residual state, resulting in movement of the upper soil mass. Slip plane or failure plane or slip surface or failure surface is the surface of sliding. Sliding mass is the mass of soil within the slip plane and the ground surface.

How to Calculate Arc Angle given Length of Slip Arc?

Arc Angle given Length of Slip Arc calculator uses Arc Angle = (360*Length of Slip Arc)/(2*pi*Radial Distance)*(pi/180) to calculate the Arc Angle, The Arc Angle given Length of Slip Arc formula is defined as the angular measure of a segment of a circle's circumference, specifically in the context of geotechnical engineering, where it is often used to describe the geometry of a slip surface in slope stability analysis. Arc Angle is denoted by δ symbol.

How to calculate Arc Angle given Length of Slip Arc using this online calculator? To use this online calculator for Arc Angle given Length of Slip Arc, enter Length of Slip Arc (L^') & Radial Distance (d_radial) and hit the calculate button. Here is how the Arc Angle given Length of Slip Arc calculation can be explained with given input values -> 1.24 = (360*3.0001)/(2*pi*1.5)*(pi/180).

FAQ

What is Arc Angle given Length of Slip Arc?

The Arc Angle given Length of Slip Arc formula is defined as the angular measure of a segment of a circle's circumference, specifically in the context of geotechnical engineering, where it is often used to describe the geometry of a slip surface in slope stability analysis and is represented as δ = (360*L^')/(2*pi*d_radial)*(pi/180) or Arc Angle = (360*Length of Slip Arc)/(2*pi*Radial Distance)*(pi/180). Length of Slip Arc is the length of the arc formed by slip circle & Radial Distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.

How to calculate Arc Angle given Length of Slip Arc?

The Arc Angle given Length of Slip Arc formula is defined as the angular measure of a segment of a circle's circumference, specifically in the context of geotechnical engineering, where it is often used to describe the geometry of a slip surface in slope stability analysis is calculated using Arc Angle = (360*Length of Slip Arc)/(2*pi*Radial Distance)*(pi/180). To calculate Arc Angle given Length of Slip Arc, you need Length of Slip Arc (L^') & Radial Distance (d_radial). With our tool, you need to enter the respective value for Length of Slip Arc & Radial Distance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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