Circumferential stress 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%
✖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 of Disc [E]			+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 given radial strain on disc [σ_c]

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Circumferential stress given radial strain on disc Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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 Stress - (Measured in Pascal) - Radial Stress induced by a bending moment in a member of constant cross section.
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).
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.
Poisson's Ratio - Poisson's ratio is a material property that describes the relationship between the lateral strain and the longitudinal strain.

STEP 1: Convert Input(s) to Base Unit

Radial Stress: 100 Newton per Square Meter --> 100 Pascal (Check conversion here)
Radial Strain: 4 --> No Conversion Required
Modulus of Elasticity of Disc: 8 Newton per Square Meter --> 8 Pascal (Check conversion here)
Poisson's Ratio: 0.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_c = (σ_r-(ε_r*E))/(𝛎) --> (100-(4*8))/(0.3)

Evaluating ... ...

σ_c = 226.666666666667

STEP 3: Convert Result to Output's Unit

226.666666666667 Pascal -->226.666666666667 Newton per Square Meter (Check conversion here)

FINAL ANSWER

226.666666666667 ≈ 226.6667 Newton per Square Meter <-- Circumferential Stress

(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 » Circumferential Stress and Strain » Circumferential stress given radial strain on disc

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National Institute Of Technology (NIT), Hamirpur

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< Circumferential Stress and Strain Calculators

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 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/Radius of Disc

Circumferential stress given radial strain on disc Formula

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

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 stress given radial strain on disc?

Circumferential stress given radial strain on disc calculator uses Circumferential Stress = (Radial Stress-(Radial Strain*Modulus of Elasticity of Disc))/(Poisson's Ratio) to calculate the Circumferential Stress, Circumferential stress given radial strain on disc formula is defined as a relationship that describes how radial strain affects the circumferential stress in a rotating disc, providing insights into material behavior under rotational forces. Circumferential Stress is denoted by σ_c symbol.

How to calculate Circumferential stress given radial strain on disc using this online calculator? To use this online calculator for Circumferential stress given radial strain on disc, enter Radial Stress (σ_r), Radial Strain (ε_r), Modulus of Elasticity of Disc (E) & Poisson's Ratio (𝛎) and hit the calculate button. Here is how the Circumferential stress given radial strain on disc calculation can be explained with given input values -> 226.6667 = (100-(4*8))/(0.3).

FAQ

What is Circumferential stress given radial strain on disc?

Circumferential stress given radial strain on disc formula is defined as a relationship that describes how radial strain affects the circumferential stress in a rotating disc, providing insights into material behavior under rotational forces and is represented as σ_c = (σ_r-(ε_r*E))/(𝛎) or Circumferential Stress = (Radial Stress-(Radial Strain*Modulus of Elasticity of Disc))/(Poisson's Ratio). Radial Stress induced by a bending moment in a member of constant cross section, 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), 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 & Poisson's ratio is a material property that describes the relationship between the lateral strain and the longitudinal strain.

How to calculate Circumferential stress given radial strain on disc?

Circumferential stress given radial strain on disc formula is defined as a relationship that describes how radial strain affects the circumferential stress in a rotating disc, providing insights into material behavior under rotational forces is calculated using Circumferential Stress = (Radial Stress-(Radial Strain*Modulus of Elasticity of Disc))/(Poisson's Ratio). To calculate Circumferential stress given radial strain on disc, you need Radial Stress (σ_r), Radial Strain (ε_r), Modulus of Elasticity of Disc (E) & Poisson's Ratio (𝛎). With our tool, you need to enter the respective value for Radial Stress, Radial Strain, Modulus of Elasticity of Disc & Poisson's Ratio 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 Stress?

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

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

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