Modulus of elasticity given circumferential strain on disc Calculator

✖Circumferential stress is the stress that acts along the circumference of a cylindrical or spherical object, the stress that develops when the object is subjected to internal or external pressure.ⓘ Circumferential Stress [σ_c]			+10% -10%
✖Poisson's ratio is a material property that describes the relationship between the lateral strain and the longitudinal strain.ⓘ 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 refers to the deformation or change in the dimensions of an object in the circumferential direction (around the circumference) when it is subjected to stress or force.ⓘ Circumferential Strain [e₁]			+10% -10%

✖Modulus of elasticity of disc refers to a material property that measures its ability to resist deformation under stress, specifically in response to stretching or compressing forces.ⓘ 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 refers to a material property that measures its ability to resist deformation under stress, specifically in response to stretching or compressing forces.
Circumferential Stress - (Measured in Pascal) - Circumferential stress is the stress that acts along the circumference of a cylindrical or spherical object, the stress that develops when the object is subjected to internal or external pressure.
Poisson's Ratio - Poisson's ratio is a material property that describes the relationship between the lateral strain and the longitudinal strain.
Radial Stress - (Measured in Pascal) - Radial Stress induced by a bending moment in a member of constant cross section.
Circumferential Strain - Circumferential strain refers to the deformation or change in the dimensions of an object in the circumferential direction (around the circumference) when it is subjected to stress or force.

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 00.004 seconds)

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Home » Physics » Strength of Materials » Rotating Disc And Cylinder » Expression for Stresses in Rotating Thin Disc » Mechanical » Relation of Parameters » Modulus of elasticity given circumferential strain on disc

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< Relation of Parameters Calculators

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

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

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

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

Mean radius of cylinder given hoop stress in thin cylinder

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

Hoop stress in thin cylinder

Go Hoop Stress in Disc = Density of Disc*Angular Velocity*Radius of Disc

Modulus of elasticity given circumferential strain on disc Formula

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, Modulus of elasticity given circumferential strain on disc formula is defined as a measure of a material's ability to deform elastically when subjected to stress, specifically in the context of rotating discs and cylinders under circumferential strain. 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?

Modulus of elasticity given circumferential strain on disc formula is defined as a measure of a material's ability to deform elastically when subjected to stress, specifically in the context of rotating discs and cylinders under circumferential strain 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 stress that acts along the circumference of a cylindrical or spherical object, the stress that develops when the object is subjected to internal or external pressure, Poisson's ratio is a material property that describes the relationship between the lateral strain and the longitudinal strain, Radial Stress induced by a bending moment in a member of constant cross section & Circumferential strain refers to the deformation or change in the dimensions of an object in the circumferential direction (around the circumference) when it is subjected to stress or force.

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

Modulus of elasticity given circumferential strain on disc formula is defined as a measure of a material's ability to deform elastically when subjected to stress, specifically in the context of rotating discs and cylinders under circumferential strain 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/Radius of Disc))
Modulus of Elasticity of Disc = (Radial Stress-(Poisson's Ratio*Circumferential Stress))/(Increase in Radial Width/Initial Radial Width)

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