Circumferential stress given initial radial width of disc Calculator

✖Radial stress refers to the stress that acts perpendicular to the longitudinal axis of a component, directed either towards or away from the central axis.ⓘ Radial Stress [σ_r]			+10% -10%
✖Increase in radial width refers to the change or expansion in the radius of a circular object (like a disc, pipe, or cylinder) from its original value due to some external or internal influence.ⓘ Increase in Radial Width [Δr]			+10% -10%
✖Initial radial width the starting radial distance or width at a particular point or state.ⓘ Initial Radial Width [d_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 initial radial width of disc [σ_c]

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Circumferential stress given initial radial width of disc Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumferential Stress = (Radial Stress-((Increase in Radial Width/Initial Radial Width)*Modulus of Elasticity of Disc))/(Poisson's Ratio)
σ_c = (σ_r-((Δr/d_r)*E))/(𝛎)
This formula uses 6 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 refers to the stress that acts perpendicular to the longitudinal axis of a component, directed either towards or away from the central axis.
Increase in Radial Width - (Measured in Meter) - Increase in radial width refers to the change or expansion in the radius of a circular object (like a disc, pipe, or cylinder) from its original value due to some external or internal influence.
Initial Radial Width - (Measured in Meter) - Initial radial width the starting radial distance or width at a particular point or state.
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)
Increase in Radial Width: 3.4 Millimeter --> 0.0034 Meter (Check conversion here)
Initial Radial Width: 3 Millimeter --> 0.003 Meter (Check conversion here)
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-((Δr/d_r)*E))/(𝛎) --> (100-((0.0034/0.003)*8))/(0.3)

Evaluating ... ...

σ_c = 303.111111111111

STEP 3: Convert Result to Output's Unit

303.111111111111 Pascal -->303.111111111111 Newton per Square Meter (Check conversion here)

FINAL ANSWER

303.111111111111 ≈ 303.1111 Newton per Square Meter <-- Circumferential Stress

(Calculation completed in 00.007 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 initial radial width of 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

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

Circumferential strain on disc given stresses

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

Circumferential strain for rotating thin disc

LaTeX Go Circumferential Strain = (Final Circumference-Initial Circumference)/Initial Circumference

Circumferential strain for rotating thin disc given radius of disc

LaTeX Go Circumferential Strain = Increase in Radius/Radius of Disc

Circumferential stress given initial radial width of disc Formula

LaTeX Go

Circumferential Stress = (Radial Stress-((Increase in Radial Width/Initial Radial Width)*Modulus of Elasticity of Disc))/(Poisson's Ratio)
σ_c = (σ_r-((Δr/d_r)*E))/(𝛎)

What is the Allowable Stress?

Allowable stress, also known as allowable strength, is the maximum stress that a material or structure can safely withstand without experiencing failure or permanent deformation. Allowable stress is the stress at which a member is not expected to fail under the given loading conditions.

What is Compression Stress Force?

Compression stress force is the stress that squeezes something. It is the stress component perpendicular to a given surface, such as a fault plane, that results from forces applied perpendicular to the surface or from remote forces transmitted through the surrounding rock.

How to Calculate Circumferential stress given initial radial width of disc?

Circumferential stress given initial radial width of disc calculator uses Circumferential Stress = (Radial Stress-((Increase in Radial Width/Initial Radial Width)*Modulus of Elasticity of Disc))/(Poisson's Ratio) to calculate the Circumferential Stress, Circumferential stress given initial radial width of disc formula is defined as a measure of the stress experienced in a rotating disc due to radial forces, which is essential for understanding material behavior under rotational loads. Circumferential Stress is denoted by σ_c symbol.

How to calculate Circumferential stress given initial radial width of disc using this online calculator? To use this online calculator for Circumferential stress given initial radial width of disc, enter Radial Stress (σ_r), Increase in Radial Width (Δr), Initial Radial Width (d_r), Modulus of Elasticity of Disc (E) & Poisson's Ratio (𝛎) and hit the calculate button. Here is how the Circumferential stress given initial radial width of disc calculation can be explained with given input values -> 303.1111 = (100-((0.0034/0.003)*8))/(0.3).

FAQ

What is Circumferential stress given initial radial width of disc?

Circumferential stress given initial radial width of disc formula is defined as a measure of the stress experienced in a rotating disc due to radial forces, which is essential for understanding material behavior under rotational loads and is represented as σ_c = (σ_r-((Δr/d_r)*E))/(𝛎) or Circumferential Stress = (Radial Stress-((Increase in Radial Width/Initial Radial Width)*Modulus of Elasticity of Disc))/(Poisson's Ratio). Radial stress refers to the stress that acts perpendicular to the longitudinal axis of a component, directed either towards or away from the central axis, Increase in radial width refers to the change or expansion in the radius of a circular object (like a disc, pipe, or cylinder) from its original value due to some external or internal influence, Initial radial width the starting radial distance or width at a particular point or state, 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 initial radial width of disc?

Circumferential stress given initial radial width of disc formula is defined as a measure of the stress experienced in a rotating disc due to radial forces, which is essential for understanding material behavior under rotational loads is calculated using Circumferential Stress = (Radial Stress-((Increase in Radial Width/Initial Radial Width)*Modulus of Elasticity of Disc))/(Poisson's Ratio). To calculate Circumferential stress given initial radial width of disc, you need Radial Stress (σ_r), Increase in Radial Width (Δr), Initial Radial Width (d_r), Modulus of Elasticity of Disc (E) & Poisson's Ratio (𝛎). With our tool, you need to enter the respective value for Radial Stress, Increase in Radial Width, Initial Radial Width, 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, Increase in Radial Width, Initial Radial Width, 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-(Radial Strain*Modulus of Elasticity of Disc))/(Poisson's Ratio)

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