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Increase in initial radial width of disc given stresses Formula

GoIncrease in radial width given radial strain for rotating thin disc Formula

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

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

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

Increase in initial radial width of disc given stresses Example

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Here is how the Increase in initial radial width of disc given stresses equation looks like with Values.

Here is how the Increase in initial radial width of disc given stresses equation looks like with Units.

Here is how the Increase in initial radial width of disc given stresses equation looks like.

28.5 = (\frac{100 - (0.3 \cdot 80)}{8}) \cdot 3

28.5mm = (\frac{100N/m² - (0.3 \cdot 80N/m²)}{8N/m²}) \cdot 3mm

28.5 = (\frac{100 - (0.3 \cdot 80)}{8}) \cdot 3

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Increase in initial radial width of disc given stresses Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

du = (\frac{100N/m² - (0.3 \cdot 80N/m²)}{8N/m²}) \cdot 3mm

Next Step Convert Units

∴

du = (\frac{100Pa - (0.3 \cdot 80Pa)}{8Pa}) \cdot 0.003m

Next Step Prepare to Evaluate

∴

du = (\frac{100 - (0.3 \cdot 80)}{8}) \cdot 0.003

Next Step Evaluate

∴

du = 0.0285m

LAST Step Convert to Output's Unit

∴

du = 28.5mm

Increase in initial radial width of disc given stresses Formula Elements

Variables

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

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

Other Formulas to find Increase in Radial Width

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

du = e r \cdot dr

Other formulas in Radial Width category

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

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

Go Final radial width given radial strain for rotating thin disc

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

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

dr = \frac{du}{e r}

Go Initial radial width of disc given stresses on disc

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

How to Evaluate Increase in initial radial width of disc given stresses?

Increase in initial radial width of disc given stresses evaluator uses Increase in Radial Width = ((Radial Stress-(Poisson's Ratio*Circumferential Stress))/Modulus Of Elasticity Of Disc)*Initial Radial Width to evaluate the Increase in Radial Width, Increase in initial radial width of disc given stresses formula is defined as a representation of how radial width changes in response to applied stresses, accounting for material properties such as elasticity and Poisson's ratio in rotating discs. Increase in Radial Width is denoted by du symbol.

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

FAQs on Increase in initial radial width of disc given stresses

What is the formula to find Increase in initial radial width of disc given stresses?

The formula of Increase in initial radial width of disc given stresses is expressed as Increase in Radial Width = ((Radial Stress-(Poisson's Ratio*Circumferential Stress))/Modulus Of Elasticity Of Disc)*Initial Radial Width. Here is an example- 28500 = ((100-(0.3*80))/8)*0.003.

How to calculate Increase in initial radial width of disc given stresses?

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

What are the other ways to Calculate Increase in Radial Width?

Here are the different ways to Calculate Increase in Radial Width-

Increase in Radial Width=Radial Strain*Initial Radial Width

Can the Increase in initial radial width of disc given stresses be negative?

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

Which unit is used to measure Increase in initial radial width of disc given stresses?

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

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Increase in initial radial width of disc given stresses Formula

​GoIncrease in radial width given radial strain for rotating thin disc Formula

Increase in initial radial width of disc given stresses Example

Increase in initial radial width of disc given stresses Solution

Increase in initial radial width of disc given stresses Formula Elements

Other Formulas to find Increase in Radial Width

Other formulas in Radial Width category

How to Evaluate Increase in initial radial width of disc given stresses?

FAQs on Increase in initial radial width of disc given stresses

Variable Name

GoIncrease in radial width given radial strain for rotating thin disc Formula