FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Modulus of elasticity given radius of disc Formula

GoModulus of elasticity given circumferential strain on disc Formula

GoModulus of elasticity given radial strain on disc Formula

Fx Copy

LaTeX Copy

Modulus Of Elasticity Of Disc is a quantity that measures disc's resistance to being deformed elastically when a stress is applied to it. Check FAQs

E = (\frac{σ c - (𝛎 \cdot σ r)}{\frac{R i}{r disc}})

E - Modulus Of Elasticity Of Disc?σ_c - Circumferential Stress?𝛎 - Poisson's Ratio?σ_r - Radial Stress?R_i - Increase in radius?r_disc - Disc Radius?

Modulus of elasticity given radius of disc Example

With values

With units

Only example

Here is how the Modulus of elasticity given radius of disc equation looks like with Values.

Here is how the Modulus of elasticity given radius of disc equation looks like with Units.

Here is how the Modulus of elasticity given radius of disc equation looks like.

7692.3077 = (\frac{80 - (0.3 \cdot 100)}{\frac{6.5}{1000}})

7692.3077N/m² = (\frac{80N/m² - (0.3 \cdot 100N/m²)}{\frac{6.5mm}{1000mm}})

7692.3077 = (\frac{80 - (0.3 \cdot 100)}{\frac{6.5}{1000}})

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Strength of Materials » fx Modulus of elasticity given radius of disc

Modulus of elasticity given radius of disc Solution

Follow our step by step solution on how to calculate Modulus of elasticity given radius of disc?

FIRST Step Consider the formula

E = (\frac{σ c - (𝛎 \cdot σ r)}{\frac{R i}{r disc}})

Next Step Substitute values of Variables

∴

E = (\frac{80N/m² - (0.3 \cdot 100N/m²)}{\frac{6.5mm}{1000mm}})

Next Step Convert Units

∴

E = (\frac{80Pa - (0.3 \cdot 100Pa)}{\frac{0.0065m}{1m}})

Next Step Prepare to Evaluate

∴

E = (\frac{80 - (0.3 \cdot 100)}{\frac{0.0065}{1}})

Next Step Evaluate

∴

E = 7692.30769230769Pa

Next Step Convert to Output's Unit

∴

E = 7692.30769230769N/m²

LAST Step Rounding Answer

∴

E = 7692.3077N/m²

Modulus of elasticity given radius of disc Formula Elements

Variables

Modulus Of Elasticity Of Disc

Modulus Of Elasticity Of Disc is a quantity that measures disc's resistance to being deformed elastically when a stress is applied to it.

Symbol: E

Measurement: PressureUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Modulus Of Elasticity Of Disc

Circumferential Stress

Circumferential Stress is the force over area exerted circumferentially perpendicular to the axis and the radius.

Symbol: σ_c

Measurement: StressUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Circumferential Stress

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.

Symbol: 𝛎

Measurement: NAUnit: Unitless

Note: Value should be between -1 to 10.

Formulas to find Poisson's Ratio

Radial Stress

Radial Stress induced by a bending moment in a member of constant cross section.

Symbol: σ_r

Measurement: PressureUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Radial Stress

Increase in radius

Increase in radius is the increase in inner radius of outer cylinder of compound cylinder.

Symbol: R_i

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Increase in radius

Disc Radius

Disc Radius is a radial line from the focus to any point of a curve.

Symbol: r_disc

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Disc Radius

Other Formulas to find Modulus Of Elasticity Of Disc

Go Modulus of elasticity given circumferential strain on disc

E = \frac{σ c - (𝛎 \cdot σ r)}{e 1}

Go Modulus of elasticity given radial strain on disc

E = \frac{σ r - (𝛎 \cdot σ c)}{e r}

Go Modulus of elasticity given initial radial width of disc

E = \frac{σ r - (𝛎 \cdot σ c)}{\frac{du}{dr}}

Other formulas in Relation of Parameters category

Go Hoop stress in thin cylinder

σ θ = ρ \cdot ω \cdot r disc

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

ρ = \frac{σ θ}{ω \cdot r disc}

Go Mean radius of cylinder given hoop stress in thin cylinder

r disc = \frac{σ θ}{ρ \cdot ω}

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

ω = \frac{σ θ}{ρ \cdot r disc}

How to Evaluate Modulus of elasticity given radius of disc?

Modulus of elasticity given radius of disc evaluator uses Modulus of Elasticity of Disc = ((Circumferential Stress-(Poisson's Ratio*Radial Stress))/(Increase in radius/Disc Radius)) to evaluate 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 evaluate Modulus of elasticity given radius of disc using this online evaluator? To use this online evaluator for Modulus of elasticity given radius of disc, enter Circumferential Stress (σ_c), Poisson's Ratio (𝛎), Radial Stress (σ_r), Increase in radius (R_i) & Disc Radius (r_disc) and hit the calculate button.

FAQs on Modulus of elasticity given radius of disc

What is the formula to find Modulus of elasticity given radius of disc?

The formula of Modulus of elasticity given radius of disc is expressed as Modulus of Elasticity of Disc = ((Circumferential Stress-(Poisson's Ratio*Radial Stress))/(Increase in radius/Disc Radius)). Here is an example- 7692.308 = ((80-(0.3*100))/(0.0065/1)).

How to calculate Modulus of elasticity given radius of disc?

With Circumferential Stress (σ_c), Poisson's Ratio (𝛎), Radial Stress (σ_r), Increase in radius (R_i) & Disc Radius (r_disc) we can find Modulus of elasticity given radius of disc using the formula - Modulus of Elasticity of Disc = ((Circumferential Stress-(Poisson's Ratio*Radial Stress))/(Increase in radius/Disc Radius)).

What are the other ways to Calculate Modulus Of Elasticity Of Disc?

Here are the different ways to Calculate Modulus Of Elasticity Of Disc-

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)

Can the Modulus of elasticity given radius of disc be negative?

No, the Modulus of elasticity given radius of disc, measured in Pressure cannot be negative.

Which unit is used to measure Modulus of elasticity given radius of disc?

Modulus of elasticity given radius of disc is usually measured using the Newton per Square Meter[N/m²] for Pressure. Pascal[N/m²], Kilopascal[N/m²], Bar[N/m²] are the few other units in which Modulus of elasticity given radius of disc can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Modulus of elasticity given radius of disc Formula

​GoModulus of elasticity given circumferential strain on disc Formula

​GoModulus of elasticity given radial strain on disc Formula

Modulus of elasticity given radius of disc Example

Modulus of elasticity given radius of disc Solution

Modulus of elasticity given radius of disc Formula Elements

Other Formulas to find Modulus Of Elasticity Of Disc

Other formulas in Relation of Parameters category

How to Evaluate Modulus of elasticity given radius of disc?

FAQs on Modulus of elasticity given radius of disc

Variable Name

GoModulus of elasticity given circumferential strain on disc Formula

GoModulus of elasticity given radial strain on disc Formula