Modulus of elasticity 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%
✖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 [σ_r]			+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 given radius of disc [E]

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Modulus of elasticity given radius of disc Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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 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 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).

STEP 1: Convert Input(s) to Base Unit

Circumferential Stress: 80 Newton per Square Meter --> 80 Pascal (Check conversion here)
Poisson's Ratio: 0.3 --> No Conversion Required
Radial Stress: 100 Newton per Square Meter --> 100 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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = ((σ_c-(𝛎*σ_r))/(ΔR/r_disc)) --> ((80-(0.3*100))/(0.0065/1))

Evaluating ... ...

E = 7692.30769230769

STEP 3: Convert Result to Output's Unit

7692.30769230769 Pascal -->7692.30769230769 Newton per Square Meter (Check conversion here)

FINAL ANSWER

7692.30769230769 ≈ 7692.308 Newton per Square Meter <-- Modulus of Elasticity of Disc

(Calculation completed in 00.020 seconds)

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Home » Physics » Strength of Materials » Rotating Disc And Cylinder » Expression for Stresses in Rotating Thin Disc » Mechanical » Relation of Parameters » Modulus of elasticity given radius of disc

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< Relation of Parameters Calculators

Angular speed of rotation for thin cylinder given hoop stress in thin cylinder

LaTeX Go Angular Velocity = Hoop Stress in Disc/(Density of Disc*Radius of Disc)

Density of cylinder material given hoop stress (for thin cylinder)

LaTeX Go Density of Disc = Hoop Stress in Disc/(Angular Velocity*Radius of Disc)

Mean radius of cylinder given hoop stress in thin cylinder

LaTeX Go Radius of Disc = Hoop Stress in Disc/(Density of Disc*Angular Velocity)

Hoop stress in thin cylinder

LaTeX Go Hoop Stress in Disc = Density of Disc*Angular Velocity*Radius of Disc

Modulus of elasticity given radius of disc Formula

LaTeX Go

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

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 Modulus of elasticity given radius of disc?

Modulus of elasticity given radius of disc calculator uses Modulus of Elasticity of Disc = ((Circumferential Stress-(Poisson's Ratio*Radial Stress))/(Increase in Radius/Radius of Disc)) to calculate the Modulus of Elasticity of Disc, Modulus of elasticity given radius of disc formula is defined as a measure of the stiffness of a material in relation to the stresses experienced in a rotating disc, reflecting how it deforms under applied forces. Modulus of Elasticity of Disc is denoted by E symbol.

How to calculate Modulus of elasticity given radius of disc using this online calculator? To use this online calculator for Modulus of elasticity given radius of disc, enter Circumferential Stress (σ_c), Poisson's Ratio (𝛎), Radial Stress (σ_r), Increase in Radius (ΔR) & Radius of Disc (r_disc) and hit the calculate button. Here is how the Modulus of elasticity given radius of disc calculation can be explained with given input values -> 7692.308 = ((80-(0.3*100))/(0.0065/1)).

FAQ

What is Modulus of elasticity given radius of disc?

Modulus of elasticity given radius of disc formula is defined as a measure of the stiffness of a material in relation to the stresses experienced in a rotating disc, reflecting how it deforms under applied forces and is represented as E = ((σ_c-(𝛎*σ_r))/(ΔR/r_disc)) or Modulus of Elasticity of Disc = ((Circumferential Stress-(Poisson's Ratio*Radial Stress))/(Increase in Radius/Radius of Disc)). 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, Poisson's ratio is a material property that describes the relationship between the lateral strain and the longitudinal strain, 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 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).

How to calculate Modulus of elasticity given radius of disc?

Modulus of elasticity given radius of disc formula is defined as a measure of the stiffness of a material in relation to the stresses experienced in a rotating disc, reflecting how it deforms under applied forces is calculated using Modulus of Elasticity of Disc = ((Circumferential Stress-(Poisson's Ratio*Radial Stress))/(Increase in Radius/Radius of Disc)). To calculate Modulus of elasticity given radius of disc, you need Circumferential Stress (σ_c), Poisson's Ratio (𝛎), Radial Stress (σ_r), Increase in Radius (ΔR) & Radius of Disc (r_disc). With our tool, you need to enter the respective value for Circumferential Stress, Poisson's Ratio, Radial Stress, Increase in Radius & Radius of Disc 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 Modulus of Elasticity of Disc?

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

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

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