Modulus of elasticity given radial strain on disc Calculator

✖Radial Stress induced by a bending moment in a member of constant cross section.ⓘ Radial Stress [σ_r]			+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%
✖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%
✖Radial strain is the change in length per unit of original length in the radial direction (the direction from the center to the outer edge of an object).ⓘ Radial Strain [ε_r]			+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 radial strain on disc [E]

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Modulus of elasticity given radial strain on disc Solution

STEP 0: Pre-Calculation Summary

Formula Used

Modulus of Elasticity of Disc = (Radial Stress-(Poisson's Ratio*Circumferential Stress))/Radial Strain
E = (σ_r-(𝛎*σ_c))/ε_r
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.
Radial Stress - (Measured in Pascal) - Radial Stress induced by a bending moment in a member of constant cross section.
Poisson's Ratio - Poisson's ratio is a material property that describes the relationship between the lateral strain and the longitudinal strain.
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.
Radial Strain - Radial strain is the change in length per unit of original length in the radial direction (the direction from the center to the outer edge of an object).

STEP 1: Convert Input(s) to Base Unit

Radial Stress: 100 Newton per Square Meter --> 100 Pascal (Check conversion here)
Poisson's Ratio: 0.3 --> No Conversion Required
Circumferential Stress: 80 Newton per Square Meter --> 80 Pascal (Check conversion here)
Radial Strain: 4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = (σ_r-(𝛎*σ_c))/ε_r --> (100-(0.3*80))/4

Evaluating ... ...

E = 19

STEP 3: Convert Result to Output's Unit

19 Pascal -->19 Newton per Square Meter (Check conversion here)

FINAL ANSWER

19 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 radial 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 radial strain on disc Formula

Modulus of Elasticity of Disc = (Radial Stress-(Poisson's Ratio*Circumferential Stress))/Radial Strain
E = (σ_r-(𝛎*σ_c))/ε_r

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 radial strain on disc?

Modulus of elasticity given radial strain on disc calculator uses Modulus of Elasticity of Disc = (Radial Stress-(Poisson's Ratio*Circumferential Stress))/Radial Strain to calculate the Modulus of Elasticity of Disc, Modulus of elasticity given radial strain on disc formula is defined as a relationship that describes how a rotating disc deforms under radial stress, reflecting the material's ability to resist deformation when subjected to external forces. Modulus of Elasticity of Disc is denoted by E symbol.

How to calculate Modulus of elasticity given radial strain on disc using this online calculator? To use this online calculator for Modulus of elasticity given radial strain on disc, enter Radial Stress (σ_r), Poisson's Ratio (𝛎), Circumferential Stress (σ_c) & Radial Strain (ε_r) and hit the calculate button. Here is how the Modulus of elasticity given radial strain on disc calculation can be explained with given input values -> 19 = (100-(0.3*80))/4.

FAQ

What is Modulus of elasticity given radial strain on disc?

Modulus of elasticity given radial strain on disc formula is defined as a relationship that describes how a rotating disc deforms under radial stress, reflecting the material's ability to resist deformation when subjected to external forces and is represented as E = (σ_r-(𝛎*σ_c))/ε_r or Modulus of Elasticity of Disc = (Radial Stress-(Poisson's Ratio*Circumferential Stress))/Radial Strain. Radial Stress induced by a bending moment in a member of constant cross section, Poisson's ratio is a material property that describes the relationship between the lateral strain and the longitudinal 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 & Radial strain is the change in length per unit of original length in the radial direction (the direction from the center to the outer edge of an object).

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

Modulus of elasticity given radial strain on disc formula is defined as a relationship that describes how a rotating disc deforms under radial stress, reflecting the material's ability to resist deformation when subjected to external forces is calculated using Modulus of Elasticity of Disc = (Radial Stress-(Poisson's Ratio*Circumferential Stress))/Radial Strain. To calculate Modulus of elasticity given radial strain on disc, you need Radial Stress (σ_r), Poisson's Ratio (𝛎), Circumferential Stress (σ_c) & Radial Strain (ε_r). With our tool, you need to enter the respective value for Radial Stress, Poisson's Ratio, Circumferential Stress & Radial 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 Radial Stress, Poisson's Ratio, Circumferential Stress & Radial Strain. We can use 3 other way(s) to calculate the same, which is/are as follows -

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