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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Formula

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Modulus of elasticity given initial radial width of disc

Formula

`"E" = ("σ"_{"r"}-("𝛎"*"σ"_{"c"}))/("du"/"dr")`

Example

`"67.05882N/m²"=("100N/m²"-("0.3"*"80N/m²"))/("3.4mm"/"3mm")`

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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 00.020 seconds)

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< 21 Expression for Stresses in Rotating Thin Disc Calculators

Poisson's ratio given initial radial width of disc

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

Modulus of elasticity given initial radial width of disc

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

Modulus of elasticity given radius of disc

Go Modulus Of Elasticity Of Disc = ((Circumferential Stress-(Poisson's Ratio*Radial Stress))/(Increase in radius/Disc Radius))

Increase in radius of disc given stresses

Go Increase in radius = ((Circumferential Stress-(Poisson's Ratio*Radial Stress))/Modulus Of Elasticity Of Disc)*Disc Radius

Radius of disc given stresses on disc

Go Disc Radius = Increase in radius/((Circumferential Stress-(Poisson's Ratio*Radial Stress))/Modulus Of Elasticity Of Disc)

Poisson's ratio given radius of disc

Go Poisson's Ratio = (Circumferential Stress-((Increase in radius/Disc Radius)*Modulus Of Elasticity Of Disc))/Radial Stress

Poisson's ratio given circumferential strain on disc

Go Poisson's Ratio = (Circumferential Stress-(Circumferential strain*Modulus Of Elasticity Of Disc))/(Radial Stress)

Modulus of elasticity given circumferential strain on disc

Go Modulus Of Elasticity Of Disc = (Circumferential Stress-(Poisson's Ratio*Radial Stress))/Circumferential strain

Poisson's ratio given radial strain on disc

Go Poisson's Ratio = (Radial Stress-(Radial strain*Modulus Of Elasticity Of Disc))/(Circumferential Stress)

Modulus of elasticity given radial strain on disc

Go Modulus Of Elasticity Of Disc = (Radial Stress-(Poisson's Ratio*Circumferential Stress))/Radial strain

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

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

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

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

Mean radius of cylinder given hoop stress in thin cylinder

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

Hoop stress in thin cylinder

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

Initial circumference given circumferential strain for rotating thin disc

Go Initial circumference = Final Circumference/(Circumferential strain+1)

Final circumference given circumferential strain for rotating thin disc

Go Final Circumference = (Circumferential strain+1)*Initial circumference

Tangential velocity of cylinder given hoop stress in thin cylinder

Go Tangential Velocity = Hoop Stress in Disc/(Density Of Disc)

Density of material of cylinder given hoop stress and tangential velocity

Go Density Of Disc = Hoop Stress in Disc/Tangential Velocity

Hoop stress in thin cylinder given tangential velocity of cylinder

Go Hoop Stress in Disc = Tangential Velocity*Density Of Disc

Increase in radius given circumferential strain for rotating thin disc

Go Increase in radius = Circumferential strain*Disc Radius

Radius of disc given circumferential strain for rotating thin disc

Go Disc Radius = Increase in radius/Circumferential strain

Modulus of elasticity given initial radial width of disc Formula

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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