Increase in radius given circumferential strain for rotating thin disc Calculator

✖Circumferential strain represents the change in length.ⓘ Circumferential strain [e₁]			+10% -10%
✖Disc Radius is a radial line from the focus to any point of a curve.ⓘ Disc Radius [r_disc]			+10% -10%

✖Increase in radius is the increase in inner radius of outer cylinder of compound cylinder.ⓘ Increase in radius given circumferential strain for rotating thin disc [R_i]

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Increase in radius given circumferential strain for rotating thin disc

Formula

`"R"_{"i"} = "e"_{"1"}*"r"_{"disc"}`

Example

`"2500mm"="2.5"*"1000mm"`

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Increase in radius given circumferential strain for rotating thin disc Solution

STEP 0: Pre-Calculation Summary

Formula Used

Increase in radius = Circumferential strain*Disc Radius
R_i = e₁*r_disc
This formula uses 3 Variables

Variables Used

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.
Disc Radius - (Measured in Meter) - Disc Radius is a radial line from the focus to any point of a curve.

STEP 1: Convert Input(s) to Base Unit

Circumferential strain: 2.5 --> No Conversion Required
Disc Radius: 1000 Millimeter --> 1 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_i = e₁*r_disc --> 2.5*1

Evaluating ... ...

R_i = 2.5

STEP 3: Convert Result to Output's Unit

2.5 Meter -->2500 Millimeter (Check conversion here)

FINAL ANSWER

2500 Millimeter <-- Increase in radius

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Rotating Disc And Cylinder » Expression for Stresses in Rotating Thin Disc » Increase in radius given circumferential strain for rotating thin disc

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National Institute Of Technology (NIT), Hamirpur

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Birsa Institute of Technology (BIT), Sindri

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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

Increase in radius given circumferential strain for rotating thin disc Formula

Increase in radius = Circumferential strain*Disc Radius
R_i = e₁*r_disc

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 Increase in radius given circumferential strain for rotating thin disc?

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

How to calculate Increase in radius given circumferential strain for rotating thin disc using this online calculator? To use this online calculator for Increase in radius given circumferential strain for rotating thin disc, enter Circumferential strain (e₁) & Disc Radius (r_disc) and hit the calculate button. Here is how the Increase in radius given circumferential strain for rotating thin disc calculation can be explained with given input values -> 2.5E+6 = 2.5*1.

FAQ

What is Increase in radius given circumferential strain for rotating thin disc?

How to calculate Increase in radius given circumferential strain for rotating thin disc?

The Increase in radius given circumferential strain for rotating thin disc formula is defined as an increase in length of line segment extending from the center of a circle or sphere to the circumference or bounding surface is calculated using Increase in radius = Circumferential strain*Disc Radius. To calculate Increase in radius given circumferential strain for rotating thin disc, you need Circumferential strain (e₁) & Disc Radius (r_disc). With our tool, you need to enter the respective value for Circumferential strain & Disc Radius 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 Increase in radius?

In this formula, Increase in radius uses Circumferential strain & Disc Radius. We can use 1 other way(s) to calculate the same, which is/are as follows -

Increase in radius = ((Circumferential Stress-(Poisson's Ratio*Radial Stress))/Modulus Of Elasticity Of Disc)*Disc Radius

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