Radial strain on disc given stresses 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%
✖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 of Disc [E]			+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 on disc given stresses [ε_r]

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Radial strain on disc given stresses Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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).
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.
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.

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)
Modulus of Elasticity of Disc: 8 Newton per Square Meter --> 8 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε_r = (σ_r-(𝛎*σ_c))/E --> (100-(0.3*80))/8

Evaluating ... ...

ε_r = 9.5

STEP 3: Convert Result to Output's Unit

9.5 --> No Conversion Required

FINAL ANSWER

9.5 <-- Radial Strain

(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 » Radial Stress and Strain » Radial strain on disc given stresses

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National Institute Of Technology (NIT), Hamirpur

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< Radial Stress and Strain Calculators

Radial stress for disc given circumferential strain on disc

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

Radial strain on disc given stresses

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

Radial strain for rotating thin disc

Go Radial Strain = (Final Radial Width-Initial Radial Width)/Initial Radial Width

Radial strain for rotating thin disc given initial radial width of disc

Go Radial Strain = Increase in Radial Width/Initial Radial Width

Radial strain on disc given stresses Formula

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

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 Radial strain on disc given stresses?

Radial strain on disc given stresses calculator uses Radial Strain = (Radial Stress-(Poisson's Ratio*Circumferential Stress))/Modulus of Elasticity of Disc to calculate the Radial Strain, Radial strain on disc given stresses formula is defined as a relationship that describes how the radial dimension of a rotating disc changes in response to applied stresses, accounting for material properties such as elasticity and Poisson's ratio. Radial Strain is denoted by ε_r symbol.

How to calculate Radial strain on disc given stresses using this online calculator? To use this online calculator for Radial strain on disc given stresses, enter Radial Stress (σ_r), Poisson's Ratio (𝛎), Circumferential Stress (σ_c) & Modulus of Elasticity of Disc (E) and hit the calculate button. Here is how the Radial strain on disc given stresses calculation can be explained with given input values -> 9.5 = (100-(0.3*80))/8.

FAQ

What is Radial strain on disc given stresses?

Radial strain on disc given stresses formula is defined as a relationship that describes how the radial dimension of a rotating disc changes in response to applied stresses, accounting for material properties such as elasticity and Poisson's ratio and is represented as ε_r = (σ_r-(𝛎*σ_c))/E or Radial Strain = (Radial Stress-(Poisson's Ratio*Circumferential Stress))/Modulus of Elasticity of Disc. 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 & 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.

How to calculate Radial strain on disc given stresses?

Radial strain on disc given stresses formula is defined as a relationship that describes how the radial dimension of a rotating disc changes in response to applied stresses, accounting for material properties such as elasticity and Poisson's ratio is calculated using Radial Strain = (Radial Stress-(Poisson's Ratio*Circumferential Stress))/Modulus of Elasticity of Disc. To calculate Radial strain on disc given stresses, you need Radial Stress (σ_r), Poisson's Ratio (𝛎), Circumferential Stress (σ_c) & Modulus of Elasticity of Disc (E). With our tool, you need to enter the respective value for Radial Stress, Poisson's Ratio, Circumferential Stress & Modulus of Elasticity of Disc 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 Radial Strain?

In this formula, Radial Strain uses Radial Stress, Poisson's Ratio, Circumferential Stress & Modulus of Elasticity of Disc. We can use 2 other way(s) to calculate the same, which is/are as follows -

Radial Strain = (Final Radial Width-Initial Radial Width)/Initial Radial Width
Radial Strain = Increase in Radial Width/Initial Radial Width

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