Radius of disc given circumferential strain for rotating thin disc Solution

STEP 0: Pre-Calculation Summary
Formula Used
Disc Radius = Increase in radius/Circumferential strain
rdisc = Ri/e1
This formula uses 3 Variables
Variables Used
Disc Radius - (Measured in Meter) - Disc Radius is a radial line from the focus to any point of a curve.
Increase in radius - (Measured in Meter) - Increase in radius is the increase in inner radius of outer cylinder of compound cylinder.
Circumferential strain - Circumferential strain represents the change in length.
STEP 1: Convert Input(s) to Base Unit
Increase in radius: 6.5 Millimeter --> 0.0065 Meter (Check conversion here)
Circumferential strain: 2.5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rdisc = Ri/e1 --> 0.0065/2.5
Evaluating ... ...
rdisc = 0.0026
STEP 3: Convert Result to Output's Unit
0.0026 Meter -->2.6 Millimeter (Check conversion here)
FINAL ANSWER
2.6 Millimeter <-- Disc Radius
(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur
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21 Expression for Stresses in Rotating Thin Disc Calculators

Poisson's ratio given initial radial width of disc
Go Poisson's Ratio = (Radial Stress-((Increase in Radial Width/Initial Radial Width)*Modulus Of Elasticity Of Disc))/(Circumferential Stress)
Modulus of elasticity given initial radial width of disc
Go Modulus Of Elasticity Of Disc = (Radial Stress-(Poisson's Ratio*Circumferential Stress))/(Increase in Radial Width/Initial Radial Width)
Modulus of elasticity given radius of disc
Go Modulus Of Elasticity Of Disc = ((Circumferential Stress-(Poisson's Ratio*Radial Stress))/(Increase in radius/Disc Radius))
Increase in radius of disc given stresses
Go Increase in radius = ((Circumferential Stress-(Poisson's Ratio*Radial Stress))/Modulus Of Elasticity Of Disc)*Disc Radius
Radius of disc given stresses on disc
Go Disc Radius = Increase in radius/((Circumferential Stress-(Poisson's Ratio*Radial Stress))/Modulus Of Elasticity Of Disc)
Poisson's ratio given radius of disc
Go Poisson's Ratio = (Circumferential Stress-((Increase in radius/Disc Radius)*Modulus Of Elasticity Of Disc))/Radial Stress
Poisson's ratio given circumferential strain on disc
Go Poisson's Ratio = (Circumferential Stress-(Circumferential strain*Modulus Of Elasticity Of Disc))/(Radial Stress)
Modulus of elasticity given circumferential strain on disc
Go Modulus Of Elasticity Of Disc = (Circumferential Stress-(Poisson's Ratio*Radial Stress))/Circumferential strain
Poisson's ratio given radial strain on disc
Go Poisson's Ratio = (Radial Stress-(Radial strain*Modulus Of Elasticity Of Disc))/(Circumferential Stress)
Modulus of elasticity given radial strain on disc
Go Modulus Of Elasticity Of Disc = (Radial Stress-(Poisson's Ratio*Circumferential Stress))/Radial strain
Angular speed of rotation for thin cylinder given hoop stress in thin cylinder
Go Angular Velocity = Hoop Stress in Disc/(Density Of Disc*Disc Radius)
Density of cylinder material given hoop stress (for thin cylinder)
Go Density Of Disc = Hoop Stress in Disc/(Angular Velocity*Disc Radius)
Mean radius of cylinder given hoop stress in thin cylinder
Go Disc Radius = Hoop Stress in Disc/(Density Of Disc*Angular Velocity)
Hoop stress in thin cylinder
Go Hoop Stress in Disc = Density Of Disc*Angular Velocity*Disc Radius
Initial circumference given circumferential strain for rotating thin disc
Go Initial circumference = Final Circumference/(Circumferential strain+1)
Final circumference given circumferential strain for rotating thin disc
Go Final Circumference = (Circumferential strain+1)*Initial circumference
Tangential velocity of cylinder given hoop stress in thin cylinder
Go Tangential Velocity = Hoop Stress in Disc/(Density Of Disc)
Density of material of cylinder given hoop stress and tangential velocity
Go Density Of Disc = Hoop Stress in Disc/Tangential Velocity
Hoop stress in thin cylinder given tangential velocity of cylinder
Go Hoop Stress in Disc = Tangential Velocity*Density Of Disc
Increase in radius given circumferential strain for rotating thin disc
Go Increase in radius = Circumferential strain*Disc Radius
Radius of disc given circumferential strain for rotating thin disc
Go Disc Radius = Increase in radius/Circumferential strain

Radius of disc given circumferential strain for rotating thin disc Formula

Disc Radius = Increase in radius/Circumferential strain
rdisc = Ri/e1

What is the allowable stress?

Allowable stress, or allowable strength, is the maximum stress that can be safely applied to a structure. Allowable stress is the stress at which a member is not expected to fail under the given loading conditions.

How to Calculate Radius of disc given circumferential strain for rotating thin disc?

Radius of disc given circumferential strain for rotating thin disc calculator uses Disc Radius = Increase in radius/Circumferential strain to calculate the Disc Radius, The Radius of disc given circumferential strain for rotating thin disc formula is defined as a line segment extending from the center of a circle or sphere to the circumference or bounding surface. Disc Radius is denoted by rdisc symbol.

How to calculate Radius of disc given circumferential strain for rotating thin disc using this online calculator? To use this online calculator for Radius of disc given circumferential strain for rotating thin disc, enter Increase in radius (Ri) & Circumferential strain (e1) and hit the calculate button. Here is how the Radius of disc given circumferential strain for rotating thin disc calculation can be explained with given input values -> 2600 = 0.0065/2.5.

FAQ

What is Radius of disc given circumferential strain for rotating thin disc?
The Radius of disc given circumferential strain for rotating thin disc formula is defined as a line segment extending from the center of a circle or sphere to the circumference or bounding surface and is represented as rdisc = Ri/e1 or Disc Radius = Increase in radius/Circumferential strain. Increase in radius is the increase in inner radius of outer cylinder of compound cylinder & Circumferential strain represents the change in length.
How to calculate Radius of disc given circumferential strain for rotating thin disc?
The Radius of disc given circumferential strain for rotating thin disc formula is defined as a line segment extending from the center of a circle or sphere to the circumference or bounding surface is calculated using Disc Radius = Increase in radius/Circumferential strain. To calculate Radius of disc given circumferential strain for rotating thin disc, you need Increase in radius (Ri) & Circumferential strain (e1). With our tool, you need to enter the respective value for Increase in radius & Circumferential strain 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 Disc Radius?
In this formula, Disc Radius uses Increase in radius & Circumferential strain. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Disc Radius = Hoop Stress in Disc/(Density Of Disc*Angular Velocity)
  • Disc Radius = Increase in radius/((Circumferential Stress-(Poisson's Ratio*Radial Stress))/Modulus Of Elasticity Of Disc)
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