Radial stress given initial radial width of disc Calculator

✖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 [σ_c]			+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 initial radial width of disc [σ_r]

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Radial stress given initial radial width of disc Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

STEP 1: Convert Input(s) to Base Unit

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
Circumferential Stress: 80 Newton per Square Meter --> 80 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_r = ((Δr/d_r)*E)+(𝛎*σ_c) --> ((0.0034/0.003)*8)+(0.3*80)

Evaluating ... ...

σ_r = 33.0666666666667

STEP 3: Convert Result to Output's Unit

33.0666666666667 Pascal -->33.0666666666667 Newton per Square Meter (Check conversion here)

FINAL ANSWER

33.0666666666667 ≈ 33.06667 Newton per Square Meter <-- Radial 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 » Radial Stress and Strain » Radial stress given initial radial width 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 initial radial width of disc Formula

LaTeX Go

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

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 initial radial width of disc?

Radial stress given initial radial width of disc calculator uses Radial Stress = ((Increase in Radial Width/Initial Radial Width)*Modulus of Elasticity of Disc)+(Poisson's Ratio*Circumferential Stress) to calculate the Radial Stress, Radial stress given initial radial width of disc formula is defined as a relationship that describes the internal stress distribution within a rotating disc, influenced by changes in radial width, material properties, and external pressures. Radial Stress is denoted by σ_r symbol.

How to calculate Radial stress given initial radial width of disc using this online calculator? To use this online calculator for Radial stress given initial radial width of disc, enter Increase in Radial Width (Δr), Initial Radial Width (d_r), Modulus of Elasticity of Disc (E), Poisson's Ratio (𝛎) & Circumferential Stress (σ_c) and hit the calculate button. Here is how the Radial stress given initial radial width of disc calculation can be explained with given input values -> 33.06667 = ((0.0034/0.003)*8)+(0.3*80).

FAQ

What is Radial stress given initial radial width of disc?

Radial stress given initial radial width of disc formula is defined as a relationship that describes the internal stress distribution within a rotating disc, influenced by changes in radial width, material properties, and external pressures and is represented as σ_r = ((Δr/d_r)*E)+(𝛎*σ_c) or Radial Stress = ((Increase in Radial Width/Initial Radial Width)*Modulus of Elasticity of Disc)+(Poisson's Ratio*Circumferential Stress). 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 & 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.

How to calculate Radial stress given initial radial width of disc?

Radial stress given initial radial width of disc formula is defined as a relationship that describes the internal stress distribution within a rotating disc, influenced by changes in radial width, material properties, and external pressures is calculated using Radial Stress = ((Increase in Radial Width/Initial Radial Width)*Modulus of Elasticity of Disc)+(Poisson's Ratio*Circumferential Stress). To calculate Radial stress given initial radial width of disc, you need Increase in Radial Width (Δr), Initial Radial Width (d_r), Modulus of Elasticity of Disc (E), Poisson's Ratio (𝛎) & Circumferential Stress (σ_c). With our tool, you need to enter the respective value for Increase in Radial Width, Initial Radial Width, Modulus of Elasticity of Disc, Poisson's Ratio & Circumferential 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 Radial Stress?

In this formula, Radial Stress uses Increase in Radial Width, Initial Radial Width, Modulus of Elasticity of Disc, Poisson's Ratio & Circumferential Stress. 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 = (Radial Strain*Modulus of Elasticity of Disc)+(Poisson's Ratio*Circumferential Stress)
Radial Stress = (Circumferential Stress-((Increase in Radius/Radius of Disc)*Modulus of Elasticity of Disc))/(Poisson's Ratio)

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