Modulus of elasticity 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%
✖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%
✖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 given initial radial width of disc [E]

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Modulus of elasticity given initial radial width of disc Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = (σ_r-(𝛎*σ_c))/(Δr/d_r) --> (100-(0.3*80))/(0.0034/0.003)

Evaluating ... ...

E = 67.0588235294118

STEP 3: Convert Result to Output's Unit

67.0588235294118 Pascal -->67.0588235294118 Newton per Square Meter (Check conversion here)

FINAL ANSWER

67.0588235294118 ≈ 67.05882 Newton per Square Meter <-- Modulus of Elasticity of Disc

(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 » Relation of Parameters » Modulus of elasticity given initial radial width 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 initial radial width of disc Formula

LaTeX Go

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

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 initial radial width of disc?

Modulus of elasticity given initial radial width of disc calculator uses Modulus of Elasticity of Disc = (Radial Stress-(Poisson's Ratio*Circumferential Stress))/(Increase in Radial Width/Initial Radial Width) to calculate the Modulus of Elasticity of Disc, Modulus of elasticity given initial radial width of disc formula is defined as a relationship that quantifies the stiffness of a rotating disc material under stress, reflecting how much it deforms in response to applied forces. Modulus of Elasticity of Disc is denoted by E symbol.

How to calculate Modulus of elasticity given initial radial width of disc using this online calculator? To use this online calculator for Modulus of elasticity given initial radial width of disc, enter Radial Stress (σ_r), Poisson's Ratio (𝛎), Circumferential Stress (σ_c), Increase in Radial Width (Δr) & Initial Radial Width (d_r) and hit the calculate button. Here is how the Modulus of elasticity given initial radial width of disc calculation can be explained with given input values -> 67.05882 = (100-(0.3*80))/(0.0034/0.003).

FAQ

What is Modulus of elasticity given initial radial width of disc?

Modulus of elasticity given initial radial width of disc formula is defined as a relationship that quantifies the stiffness of a rotating disc material under stress, reflecting how much it deforms in response to applied forces and is represented as E = (σ_r-(𝛎*σ_c))/(Δr/d_r) or Modulus of Elasticity of Disc = (Radial Stress-(Poisson's Ratio*Circumferential Stress))/(Increase in Radial Width/Initial Radial Width). 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, 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, 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.

How to calculate Modulus of elasticity given initial radial width of disc?

Modulus of elasticity given initial radial width of disc formula is defined as a relationship that quantifies the stiffness of a rotating disc material under stress, reflecting how much it deforms in response to applied forces is calculated using Modulus of Elasticity of Disc = (Radial Stress-(Poisson's Ratio*Circumferential Stress))/(Increase in Radial Width/Initial Radial Width). To calculate Modulus of elasticity given initial radial width of disc, you need Radial Stress (σ_r), Poisson's Ratio (𝛎), Circumferential Stress (σ_c), Increase in Radial Width (Δr) & Initial Radial Width (d_r). With our tool, you need to enter the respective value for Radial Stress, Poisson's Ratio, Circumferential Stress, Increase in Radial Width & Initial Radial Width 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 Radial Stress, Poisson's Ratio, Circumferential Stress, Increase in Radial Width & Initial Radial Width. 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 = ((Circumferential Stress-(Poisson's Ratio*Radial Stress))/(Increase in Radius/Radius of Disc))

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