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Increase in radius of disc given stresses Formula

GoIncrease in radius given circumferential strain for rotating thin disc Formula

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

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

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

Increase in radius of disc given stresses Example

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

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

Here is how the Increase in radius of disc given stresses equation looks like.

6250 = (\frac{80 - (0.3 \cdot 100)}{8}) \cdot 1000

6250mm = (\frac{80N/m² - (0.3 \cdot 100N/m²)}{8N/m²}) \cdot 1000mm

6250 = (\frac{80 - (0.3 \cdot 100)}{8}) \cdot 1000

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Increase in radius of disc given stresses Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R i = (\frac{80N/m² - (0.3 \cdot 100N/m²)}{8N/m²}) \cdot 1000mm

Next Step Convert Units

∴

R i = (\frac{80Pa - (0.3 \cdot 100Pa)}{8Pa}) \cdot 1m

Next Step Prepare to Evaluate

∴

R i = (\frac{80 - (0.3 \cdot 100)}{8}) \cdot 1

Next Step Evaluate

∴

R i = 6.25m

LAST Step Convert to Output's Unit

∴

R i = 6250mm

Increase in radius of disc given stresses Formula Elements

Variables

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

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

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

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 Increase in radius

Go Increase in radius given circumferential strain for rotating thin disc

R i = e 1 \cdot r disc

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 Increase in radius of disc given stresses?

Increase in radius of disc given stresses evaluator uses Increase in radius = ((Circumferential Stress-(Poisson's Ratio*Radial Stress))/Modulus Of Elasticity Of Disc)*Disc Radius to evaluate the Increase in radius, The Increase in radius of disc given stresses formula is defined as increase in length of line segment extending from the center of a circle or sphere to the circumference or bounding surface. Increase in radius is denoted by R_i symbol.

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

FAQs on Increase in radius of disc given stresses

What is the formula to find Increase in radius of disc given stresses?

The formula of Increase in radius of disc given stresses is expressed as Increase in radius = ((Circumferential Stress-(Poisson's Ratio*Radial Stress))/Modulus Of Elasticity Of Disc)*Disc Radius. Here is an example- 6.3E+6 = ((80-(0.3*100))/8)*1.

How to calculate Increase in radius of disc given stresses?

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

What are the other ways to Calculate Increase in radius?

Here are the different ways to Calculate Increase in radius-

Increase in radius=Circumferential Strain*Disc Radius

Can the Increase in radius of disc given stresses be negative?

No, the Increase in radius of disc given stresses, measured in Length cannot be negative.

Which unit is used to measure Increase in radius of disc given stresses?

Increase in radius 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 radius of disc given stresses can be measured.

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Increase in radius of disc given stresses Formula

​GoIncrease in radius given circumferential strain for rotating thin disc Formula

Increase in radius of disc given stresses Example

Increase in radius of disc given stresses Solution

Increase in radius of disc given stresses Formula Elements

Other Formulas to find Increase in radius

Other formulas in Relation of Parameters category

How to Evaluate Increase in radius of disc given stresses?

FAQs on Increase in radius of disc given stresses

Variable Name

GoIncrease in radius given circumferential strain for rotating thin disc Formula