Radial stress given radius of disc Calculator

✖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%
✖Increase in radius refers to the change or growth in the radius of a circular object (such as a disc, cylinder, or sphere) due to external or internal factors.ⓘ Increase in Radius [ΔR]			+10% -10%
✖Radius of disc is the distance from the center of the disc to any point on its edge (circumference).ⓘ Radius of Disc [r_disc]			+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 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 given radius of disc [σ_r]

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Radial stress given radius of disc Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radial Stress = (Circumferential Stress-((Increase in Radius/Radius of Disc)*Modulus of Elasticity of Disc))/(Poisson's Ratio)
σ_r = (σ_c-((ΔR/r_disc)*E))/(𝛎)
This formula uses 6 Variables

Variables Used

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.
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.
Increase in Radius - (Measured in Meter) - Increase in radius refers to the change or growth in the radius of a circular object (such as a disc, cylinder, or sphere) due to external or internal factors.
Radius of Disc - (Measured in Meter) - Radius of disc is the distance from the center of the disc to any point on its edge (circumference).
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

Circumferential Stress: 80 Newton per Square Meter --> 80 Pascal (Check conversion here)
Increase in Radius: 6.5 Millimeter --> 0.0065 Meter (Check conversion here)
Radius of Disc: 1000 Millimeter --> 1 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_r = (σ_c-((ΔR/r_disc)*E))/(𝛎) --> (80-((0.0065/1)*8))/(0.3)

Evaluating ... ...

σ_r = 266.493333333333

STEP 3: Convert Result to Output's Unit

266.493333333333 Pascal -->266.493333333333 Newton per Square Meter (Check conversion here)

FINAL ANSWER

266.493333333333 ≈ 266.4933 Newton per Square Meter <-- Radial Stress

(Calculation completed in 00.021 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 stress given radius of disc

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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

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

Radial strain on disc given stresses

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

Radial strain for rotating thin disc

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

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

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

Radial stress given radius of disc Formula

LaTeX Go

Radial Stress = (Circumferential Stress-((Increase in Radius/Radius of Disc)*Modulus of Elasticity of Disc))/(Poisson's Ratio)
σ_r = (σ_c-((ΔR/r_disc)*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 Radial stress given radius of disc?

Radial stress given radius of disc calculator uses Radial Stress = (Circumferential Stress-((Increase in Radius/Radius of Disc)*Modulus of Elasticity of Disc))/(Poisson's Ratio) to calculate the Radial Stress, Radial stress given radius of disc formula is defined as a measure of the internal stress experienced by a rotating disc at a specific radius, accounting for the effects of material properties and geometric factors on stress distribution. Radial Stress is denoted by σ_r symbol.

How to calculate Radial stress given radius of disc using this online calculator? To use this online calculator for Radial stress given radius of disc, enter Circumferential Stress (σ_c), Increase in Radius (ΔR), Radius of Disc (r_disc), Modulus of Elasticity of Disc (E) & Poisson's Ratio (𝛎) and hit the calculate button. Here is how the Radial stress given radius of disc calculation can be explained with given input values -> 266.4933 = (80-((0.0065/1)*8))/(0.3).

FAQ

What is Radial stress given radius of disc?

Radial stress given radius of disc formula is defined as a measure of the internal stress experienced by a rotating disc at a specific radius, accounting for the effects of material properties and geometric factors on stress distribution and is represented as σ_r = (σ_c-((ΔR/r_disc)*E))/(𝛎) or Radial Stress = (Circumferential Stress-((Increase in Radius/Radius of Disc)*Modulus of Elasticity of Disc))/(Poisson's Ratio). 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, Increase in radius refers to the change or growth in the radius of a circular object (such as a disc, cylinder, or sphere) due to external or internal factors, Radius of disc is the distance from the center of the disc to any point on its edge (circumference), 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 Radial stress given radius of disc?

Radial stress given radius of disc formula is defined as a measure of the internal stress experienced by a rotating disc at a specific radius, accounting for the effects of material properties and geometric factors on stress distribution is calculated using Radial Stress = (Circumferential Stress-((Increase in Radius/Radius of Disc)*Modulus of Elasticity of Disc))/(Poisson's Ratio). To calculate Radial stress given radius of disc, you need Circumferential Stress (σ_c), Increase in Radius (ΔR), Radius of Disc (r_disc), Modulus of Elasticity of Disc (E) & Poisson's Ratio (𝛎). With our tool, you need to enter the respective value for Circumferential Stress, Increase in Radius, Radius of Disc, 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 Radial Stress?

In this formula, Radial Stress uses Circumferential Stress, Increase in Radius, Radius of Disc, Modulus of Elasticity of Disc & Poisson's Ratio. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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