Modulus of elasticity given initial radial width of disc Calculator

✖Radial Stress induced by a bending moment in a member of constant cross section.ⓘ Radial Stress [σ_r]			+10% -10%
✖Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5.ⓘ Poisson's Ratio [𝛎]			+10% -10%
✖Circumferential Stress is the force over area exerted circumferentially perpendicular to the axis and the radius.ⓘ Circumferential Stress [σ_c]			+10% -10%
✖Increase in Radial Width is the increase in radial width due to strain.ⓘ Increase in Radial Width [du]			+10% -10%
✖Initial Radial Width is the radial width without any strain.ⓘ Initial Radial Width [dr]			+10% -10%

✖Modulus Of Elasticity Of Disc is a quantity that measures disc's resistance to being deformed elastically when a stress is applied to it.ⓘ 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))/(du/dr)
This formula uses 6 Variables

Variables Used

Modulus Of Elasticity Of Disc - (Measured in Pascal) - Modulus Of Elasticity Of Disc is a quantity that measures disc's resistance to being deformed elastically when a stress is applied to it.
Radial Stress - (Measured in Pascal) - Radial Stress induced by a bending moment in a member of constant cross section.
Poisson's Ratio - Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5.
Circumferential Stress - (Measured in Pascal) - Circumferential Stress is the force over area exerted circumferentially perpendicular to the axis and the radius.
Increase in Radial Width - (Measured in Meter) - Increase in Radial Width is the increase in radial width due to strain.
Initial Radial Width - (Measured in Meter) - Initial Radial Width is the radial width without any strain.

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))/(du/dr) --> (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 00.004 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

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Mean radius of cylinder given hoop stress in thin cylinder

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Hoop stress in thin cylinder

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

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))/(du/dr)

What is compression stress force?

Compression stress force is the stress that squeezes something. The stress component perpendicular to a given surface, such as a fault plane, 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, The Modulus of elasticity given initial radial width of disc formula is defined as the measure of the stiffness of a material. in other words, it is a measure of how easily any material can be bend or stretch. 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 (du) & Initial Radial Width (dr) 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?

The Modulus of elasticity given initial radial width of disc formula is defined as the measure of the stiffness of a material. in other words, it is a measure of how easily any material can be bend or stretch and is represented as E = (σ_r-(𝛎*σ_c))/(du/dr) or Modulus Of Elasticity Of Disc = (Radial Stress-(Poisson's Ratio*Circumferential Stress))/(Increase in Radial Width/Initial Radial Width). Radial Stress induced by a bending moment in a member of constant cross section, Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5, Circumferential Stress is the force over area exerted circumferentially perpendicular to the axis and the radius, Increase in Radial Width is the increase in radial width due to strain & Initial Radial Width is the radial width without any strain.

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

The Modulus of elasticity given initial radial width of disc formula is defined as the measure of the stiffness of a material. in other words, it is a measure of how easily any material can be bend or stretch 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 (du) & Initial Radial Width (dr). 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/Disc Radius))

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