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*dradial)*(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*dradial)*(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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Birsa Institute of Technology (BIT), Sindri
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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

Arc Angle given Length of Slip Arc Formula

Arc Angle = (360*Length of Slip Arc)/(2*pi*Radial Distance)*(pi/180)
δ = (360*L')/(2*pi*dradial)*(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 is defined as the angular measure of a slip arc, determined by the length of the arc in radians. 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 (dradial) and hit the calculate button. Here is how the Arc Angle given Length of Slip Arc calculation can be explained with given input values -> 2 = (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 is defined as the angular measure of a slip arc, determined by the length of the arc in radians and is represented as δ = (360*L')/(2*pi*dradial)*(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 is defined as the angular measure of a slip arc, determined by the length of the arc in radians 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 (dradial). 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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