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Initial radial width of disc given stresses on disc Formula

GoDisc initial radial width given radial strain for rotating thin disc Formula

GoInitial radial width given radial strain and increase in radial width for rotating thin disc Formula

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Initial Radial Width is the radial width without any strain. Check FAQs

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

dr - Initial Radial Width?du - Increase in Radial Width?σ_r - Radial Stress?𝛎 - Poisson's Ratio?σ_c - Circumferential Stress?E - Modulus Of Elasticity Of Disc?

Initial radial width of disc given stresses on disc Example

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Here is how the Initial radial width of disc given stresses on disc equation looks like with Values.

Here is how the Initial radial width of disc given stresses on disc equation looks like with Units.

Here is how the Initial radial width of disc given stresses on disc equation looks like.

0.3579 = \frac{3.4}{\frac{100 - (0.3 \cdot 80)}{8}}

0.3579mm = \frac{3.4mm}{\frac{100N/m² - (0.3 \cdot 80N/m²)}{8N/m²}}

0.3579 = \frac{3.4}{\frac{100 - (0.3 \cdot 80)}{8}}

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Initial radial width of disc given stresses on disc Solution

Follow our step by step solution on how to calculate Initial radial width of disc given stresses on disc?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

dr = \frac{3.4mm}{\frac{100N/m² - (0.3 \cdot 80N/m²)}{8N/m²}}

Next Step Convert Units

∴

dr = \frac{0.0034m}{\frac{100Pa - (0.3 \cdot 80Pa)}{8Pa}}

Next Step Prepare to Evaluate

∴

dr = \frac{0.0034}{\frac{100 - (0.3 \cdot 80)}{8}}

Next Step Evaluate

∴

dr = 0.000357894736842105m

Next Step Convert to Output's Unit

∴

dr = 0.357894736842105mm

LAST Step Rounding Answer

∴

dr = 0.3579mm

Initial radial width of disc given stresses on disc Formula Elements

Variables

Initial Radial Width

Initial Radial Width is the radial width without any strain.

Symbol: dr

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Initial Radial Width

Increase in Radial Width

Increase in Radial Width is the increase in radial width due to strain.

Symbol: du

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Increase in Radial Width

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

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

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

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

Other Formulas to find Initial Radial Width

Go Disc initial radial width given radial strain for rotating thin disc

dr = \frac{dr f}{e r + 1}

Go Initial radial width given radial strain and increase in radial width for rotating thin disc

dr = \frac{du}{e r}

Other formulas in Radial Width category

Go Final radial width given radial strain for rotating thin disc

dr f = (e r + 1) \cdot dr

Go Increase in initial radial width of disc given stresses

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

Go Increase in radial width given radial strain for rotating thin disc

du = e r \cdot dr

How to Evaluate Initial radial width of disc given stresses on disc?

Initial radial width of disc given stresses on disc evaluator uses Initial Radial Width = Increase in Radial Width/((Radial Stress-(Poisson's Ratio*Circumferential Stress))/Modulus Of Elasticity Of Disc) to evaluate the Initial Radial Width, The Initial radial width of disc given stresses on disc formula is defined as half of the difference between the outer and inner diameter of the main body part. Initial Radial Width is denoted by dr symbol.

How to evaluate Initial radial width of disc given stresses on disc using this online evaluator? To use this online evaluator for Initial radial width of disc given stresses on disc, enter Increase in Radial Width (du), Radial Stress (σ_r), Poisson's Ratio (𝛎), Circumferential Stress (σ_c) & Modulus Of Elasticity Of Disc (E) and hit the calculate button.

FAQs on Initial radial width of disc given stresses on disc

What is the formula to find Initial radial width of disc given stresses on disc?

The formula of Initial radial width of disc given stresses on disc is expressed as Initial Radial Width = Increase in Radial Width/((Radial Stress-(Poisson's Ratio*Circumferential Stress))/Modulus Of Elasticity Of Disc). Here is an example- 357.8947 = 0.0034/((100-(0.3*80))/8).

How to calculate Initial radial width of disc given stresses on disc?

With Increase in Radial Width (du), Radial Stress (σ_r), Poisson's Ratio (𝛎), Circumferential Stress (σ_c) & Modulus Of Elasticity Of Disc (E) we can find Initial radial width of disc given stresses on disc using the formula - Initial Radial Width = Increase in Radial Width/((Radial Stress-(Poisson's Ratio*Circumferential Stress))/Modulus Of Elasticity Of Disc).

What are the other ways to Calculate Initial Radial Width?

Here are the different ways to Calculate Initial Radial Width-

Initial Radial Width=Final Radial Width/(Radial strain+1)
Initial Radial Width=Increase in Radial Width/Radial strain

Can the Initial radial width of disc given stresses on disc be negative?

No, the Initial radial width of disc given stresses on disc, measured in Length cannot be negative.

Which unit is used to measure Initial radial width of disc given stresses on disc?

Initial radial width of disc given stresses on disc is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Initial radial width of disc given stresses on disc can be measured.

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Initial radial width of disc given stresses on disc Formula

​GoDisc initial radial width given radial strain for rotating thin disc Formula

​GoInitial radial width given radial strain and increase in radial width for rotating thin disc Formula

Initial radial width of disc given stresses on disc Example

Initial radial width of disc given stresses on disc Solution

Initial radial width of disc given stresses on disc Formula Elements

Other Formulas to find Initial Radial Width

Other formulas in Radial Width category

How to Evaluate Initial radial width of disc given stresses on disc?

FAQs on Initial radial width of disc given stresses on disc

Variable Name

GoDisc initial radial width given radial strain for rotating thin disc Formula

GoInitial radial width given radial strain and increase in radial width for rotating thin disc Formula