Modulus of elasticity given circumferential strain on disc Calculator

✖Circumferential Stress is the force over area exerted circumferentially perpendicular to the axis and the radius.ⓘ Circumferential Stress [σ_c]			+10% -10%
✖Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5.ⓘ Poisson's Ratio [𝛎]			+10% -10%
✖Radial Stress induced by a bending moment in a member of constant cross section.ⓘ Radial Stress [σ_r]			+10% -10%
✖Circumferential strain represents the change in length.ⓘ Circumferential Strain [e₁]			+10% -10%

✖Modulus Of Elasticity Of Disc is a quantity that measures disc's resistance to being deformed elastically when a stress is applied to it.ⓘ Modulus of elasticity given circumferential strain on disc [E]

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Modulus of elasticity given circumferential strain on disc Solution

STEP 0: Pre-Calculation Summary

Formula Used

Modulus Of Elasticity Of Disc = (Circumferential Stress-(Poisson's Ratio*Radial Stress))/Circumferential Strain
E = (σ_c-(𝛎*σ_r))/e₁
This formula uses 5 Variables

Variables Used

Modulus Of Elasticity Of Disc - (Measured in Pascal) - Modulus Of Elasticity Of Disc is a quantity that measures disc's resistance to being deformed elastically when a stress is applied to it.
Circumferential Stress - (Measured in Pascal) - Circumferential Stress is the force over area exerted circumferentially perpendicular to the axis and the radius.
Poisson's Ratio - Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5.
Radial Stress - (Measured in Pascal) - Radial Stress induced by a bending moment in a member of constant cross section.
Circumferential Strain - Circumferential strain represents the change in length.

STEP 1: Convert Input(s) to Base Unit

Circumferential Stress: 80 Newton per Square Meter --> 80 Pascal (Check conversion here)
Poisson's Ratio: 0.3 --> No Conversion Required
Radial Stress: 100 Newton per Square Meter --> 100 Pascal (Check conversion here)
Circumferential Strain: 2.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = (σ_c-(𝛎*σ_r))/e₁ --> (80-(0.3*100))/2.5

Evaluating ... ...

E = 20

STEP 3: Convert Result to Output's Unit

20 Pascal -->20 Newton per Square Meter (Check conversion here)

FINAL ANSWER

20 Newton per Square Meter <-- Modulus Of Elasticity Of Disc

(Calculation completed in 00.020 seconds)

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< Relation of Parameters Calculators

Angular speed of rotation for thin cylinder given hoop stress in thin cylinder

LaTeX Go Angular Velocity = Hoop Stress in Disc/(Density Of Disc*Disc Radius)

Density of cylinder material given hoop stress (for thin cylinder)

LaTeX Go Density Of Disc = Hoop Stress in Disc/(Angular Velocity*Disc Radius)

Mean radius of cylinder given hoop stress in thin cylinder

LaTeX Go Disc Radius = Hoop Stress in Disc/(Density Of Disc*Angular Velocity)

Hoop stress in thin cylinder

LaTeX Go Hoop Stress in Disc = Density Of Disc*Angular Velocity*Disc Radius

Modulus of elasticity given circumferential strain on disc Formula

LaTeX Go

Modulus Of Elasticity Of Disc = (Circumferential Stress-(Poisson's Ratio*Radial Stress))/Circumferential Strain
E = (σ_c-(𝛎*σ_r))/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 Modulus of elasticity given circumferential strain on disc?

Modulus of elasticity given circumferential strain on disc calculator uses Modulus Of Elasticity Of Disc = (Circumferential Stress-(Poisson's Ratio*Radial Stress))/Circumferential Strain to calculate the Modulus Of Elasticity Of Disc, The Modulus of elasticity given circumferential strain on disc formula is defined as the measure of the stiffness of a material. in other words, it is a measure of how easily any material can be bend or stretch. Modulus Of Elasticity Of Disc is denoted by E symbol.

How to calculate Modulus of elasticity given circumferential strain on disc using this online calculator? To use this online calculator for Modulus of elasticity given circumferential strain on disc, enter Circumferential Stress (σ_c), Poisson's Ratio (𝛎), Radial Stress (σ_r) & Circumferential Strain (e₁) and hit the calculate button. Here is how the Modulus of elasticity given circumferential strain on disc calculation can be explained with given input values -> 20 = (80-(0.3*100))/2.5.

FAQ

What is Modulus of elasticity given circumferential strain on disc?

The Modulus of elasticity given circumferential strain on disc formula is defined as the measure of the stiffness of a material. in other words, it is a measure of how easily any material can be bend or stretch and is represented as E = (σ_c-(𝛎*σ_r))/e₁ or Modulus Of Elasticity Of Disc = (Circumferential Stress-(Poisson's Ratio*Radial Stress))/Circumferential Strain. Circumferential Stress is the force over area exerted circumferentially perpendicular to the axis and the radius, Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5, Radial Stress induced by a bending moment in a member of constant cross section & Circumferential strain represents the change in length.

How to calculate Modulus of elasticity given circumferential strain on disc?

The Modulus of elasticity given circumferential strain on disc formula is defined as the measure of the stiffness of a material. in other words, it is a measure of how easily any material can be bend or stretch is calculated using Modulus Of Elasticity Of Disc = (Circumferential Stress-(Poisson's Ratio*Radial Stress))/Circumferential Strain. To calculate Modulus of elasticity given circumferential strain on disc, you need Circumferential Stress (σ_c), Poisson's Ratio (𝛎), Radial Stress (σ_r) & Circumferential Strain (e₁). With our tool, you need to enter the respective value for Circumferential Stress, Poisson's Ratio, Radial Stress & 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 Modulus Of Elasticity Of Disc?

In this formula, Modulus Of Elasticity Of Disc uses Circumferential Stress, Poisson's Ratio, Radial Stress & Circumferential Strain. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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