Circumferential strain for rotating thin disc Calculator

✖Final Circumference is the final circumference value of disc as increased due to strain on disc.ⓘ Final Circumference [C₂]			+10% -10%
✖Initial circumference is the initial circumference value of disc, as under no stress.ⓘ Initial circumference [C_initial]			+10% -10%

✖Circumferential strain represents the change in length.ⓘ Circumferential strain for rotating thin disc [e₁]

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Formula

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Circumferential strain for rotating thin disc

Formula

`"e"_{"1"} = ("C"_{"2"}-"C"_{"initial"})/"C"_{"initial"}`

Example

`"1.666667"=("6.4mm"-"2.4mm")/"2.4mm"`

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Circumferential strain for rotating thin disc Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumferential strain = (Final Circumference-Initial circumference)/Initial circumference
e₁ = (C₂-C_initial)/C_initial
This formula uses 3 Variables

Variables Used

Circumferential strain - Circumferential strain represents the change in length.
Final Circumference - (Measured in Meter) - Final Circumference is the final circumference value of disc as increased due to strain on disc.
Initial circumference - (Measured in Meter) - Initial circumference is the initial circumference value of disc, as under no stress.

STEP 1: Convert Input(s) to Base Unit

Final Circumference: 6.4 Millimeter --> 0.0064 Meter (Check conversion here)
Initial circumference: 2.4 Millimeter --> 0.0024 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

e₁ = (C₂-C_initial)/C_initial --> (0.0064-0.0024)/0.0024

Evaluating ... ...

e₁ = 1.66666666666667

STEP 3: Convert Result to Output's Unit

1.66666666666667 --> No Conversion Required

FINAL ANSWER

1.66666666666667 ≈ 1.666667 <-- Circumferential strain

(Calculation completed in 00.020 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Birsa Institute of Technology (BIT), Sindri

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< 7 Circumferential Stress And Strain Calculators

Circumferential stress given initial radial width of disc

Go Circumferential Stress = (Radial Stress-((Increase in Radial Width/Initial Radial Width)*Modulus Of Elasticity Of Disc))/(Poisson's Ratio)

Circumferential stress given radius of disc

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

Circumferential stress given circumferential strain on disc

Go Circumferential Stress = (Circumferential strain*Modulus Of Elasticity Of Disc)+(Poisson's Ratio*Radial Stress)

Circumferential strain on disc given stresses

Go Circumferential strain = (Circumferential Stress-(Poisson's Ratio*Radial Stress))/Modulus Of Elasticity Of Disc

Circumferential stress given radial strain on disc

Go Circumferential Stress = (Radial Stress-(Radial strain*Modulus Of Elasticity Of Disc))/(Poisson's Ratio)

Circumferential strain for rotating thin disc

Go Circumferential strain = (Final Circumference-Initial circumference)/Initial circumference

Circumferential strain for rotating thin disc given radius of disc

Go Circumferential strain = Increase in radius/Disc Radius

Circumferential strain for rotating thin disc Formula

Circumferential strain = (Final Circumference-Initial circumference)/Initial circumference
e₁ = (C₂-C_initial)/C_initial

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 Circumferential strain for rotating thin disc?

Circumferential strain for rotating thin disc calculator uses Circumferential strain = (Final Circumference-Initial circumference)/Initial circumference to calculate the Circumferential strain, The Circumferential strain for rotating thin disc formula is defined as the change in length or circumference of the disc. Circumferential strain is denoted by e₁ symbol.

How to calculate Circumferential strain for rotating thin disc using this online calculator? To use this online calculator for Circumferential strain for rotating thin disc, enter Final Circumference (C₂) & Initial circumference (C_initial) and hit the calculate button. Here is how the Circumferential strain for rotating thin disc calculation can be explained with given input values -> 1.666667 = (0.0064-0.0024)/0.0024.

FAQ

What is Circumferential strain for rotating thin disc?

The Circumferential strain for rotating thin disc formula is defined as the change in length or circumference of the disc and is represented as e₁ = (C₂-C_initial)/C_initial or Circumferential strain = (Final Circumference-Initial circumference)/Initial circumference. Final Circumference is the final circumference value of disc as increased due to strain on disc & Initial circumference is the initial circumference value of disc, as under no stress.

How to calculate Circumferential strain for rotating thin disc?

The Circumferential strain for rotating thin disc formula is defined as the change in length or circumference of the disc is calculated using Circumferential strain = (Final Circumference-Initial circumference)/Initial circumference. To calculate Circumferential strain for rotating thin disc, you need Final Circumference (C₂) & Initial circumference (C_initial). With our tool, you need to enter the respective value for Final Circumference & Initial circumference 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 Circumferential strain?

In this formula, Circumferential strain uses Final Circumference & Initial circumference. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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