Circumferential stress given circumferential strain on disc Calculator

✖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 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%
✖Radial Stress induced by a bending moment in a member of constant cross section.ⓘ Radial Stress [σ_r]			+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 circumferential strain on disc [σ_c]

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Circumferential stress given circumferential strain on disc Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumferential Stress = (Circumferential Strain*Modulus of Elasticity of Disc)+(Poisson's Ratio*Radial Stress)
σ_c = (e₁*E)+(𝛎*σ_r)
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.
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.
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.
Radial Stress - (Measured in Pascal) - Radial Stress induced by a bending moment in a member of constant cross section.

STEP 1: Convert Input(s) to Base Unit

Circumferential Strain: 2.5 --> 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
Radial Stress: 100 Newton per Square Meter --> 100 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_c = (e₁*E)+(𝛎*σ_r) --> (2.5*8)+(0.3*100)

Evaluating ... ...

σ_c = 50

STEP 3: Convert Result to Output's Unit

50 Pascal -->50 Newton per Square Meter (Check conversion here)

FINAL ANSWER

50 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 circumferential strain on disc

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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 circumferential strain on disc Formula

Circumferential Stress = (Circumferential Strain*Modulus of Elasticity of Disc)+(Poisson's Ratio*Radial Stress)
σ_c = (e₁*E)+(𝛎*σ_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 Circumferential stress given circumferential strain on disc?

Circumferential stress given circumferential strain on disc calculator uses Circumferential Stress = (Circumferential Strain*Modulus of Elasticity of Disc)+(Poisson's Ratio*Radial Stress) to calculate the Circumferential Stress, Circumferential stress given circumferential strain on disc formula is defined as a relationship that describes how circumferential stress in a rotating disc is influenced by circumferential strain and material properties, ensuring structural integrity under rotational forces. Circumferential Stress is denoted by σ_c symbol.

How to calculate Circumferential stress given circumferential strain on disc using this online calculator? To use this online calculator for Circumferential stress given circumferential strain on disc, enter Circumferential Strain (e₁), Modulus of Elasticity of Disc (E), Poisson's Ratio (𝛎) & Radial Stress (σ_r) and hit the calculate button. Here is how the Circumferential stress given circumferential strain on disc calculation can be explained with given input values -> 50 = (2.5*8)+(0.3*100).

FAQ

What is Circumferential stress given circumferential strain on disc?

Circumferential stress given circumferential strain on disc formula is defined as a relationship that describes how circumferential stress in a rotating disc is influenced by circumferential strain and material properties, ensuring structural integrity under rotational forces and is represented as σ_c = (e₁*E)+(𝛎*σ_r) or Circumferential Stress = (Circumferential Strain*Modulus of Elasticity of Disc)+(Poisson's Ratio*Radial Stress). 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, 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 & Radial Stress induced by a bending moment in a member of constant cross section.

How to calculate Circumferential stress given circumferential strain on disc?

Circumferential stress given circumferential strain on disc formula is defined as a relationship that describes how circumferential stress in a rotating disc is influenced by circumferential strain and material properties, ensuring structural integrity under rotational forces is calculated using Circumferential Stress = (Circumferential Strain*Modulus of Elasticity of Disc)+(Poisson's Ratio*Radial Stress). To calculate Circumferential stress given circumferential strain on disc, you need Circumferential Strain (e₁), Modulus of Elasticity of Disc (E), Poisson's Ratio (𝛎) & Radial Stress (σ_r). With our tool, you need to enter the respective value for Circumferential Strain, Modulus of Elasticity of Disc, Poisson's Ratio & Radial Stress 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 Circumferential Strain, Modulus of Elasticity of Disc, Poisson's Ratio & Radial Stress. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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