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Radius of disc given stresses on disc Formula

GoMean radius of cylinder given hoop stress in thin cylinder Formula

GoRadius of disc given circumferential strain for rotating thin disc Formula

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

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

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

Radius of disc given stresses on disc Example

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Here is how the Radius of disc given stresses on disc equation looks like with Values.

Here is how the Radius of disc given stresses on disc equation looks like with Units.

Here is how the Radius of disc given stresses on disc equation looks like.

1.04 = \frac{6.5}{\frac{80 - (0.3 \cdot 100)}{8}}

1.04mm = \frac{6.5mm}{\frac{80N/m² - (0.3 \cdot 100N/m²)}{8N/m²}}

1.04 = \frac{6.5}{\frac{80 - (0.3 \cdot 100)}{8}}

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Strength of Materials » fx Radius of disc given stresses on disc

Radius of disc given stresses on disc Solution

Follow our step by step solution on how to calculate Radius of disc given stresses on disc?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r disc = \frac{6.5mm}{\frac{80N/m² - (0.3 \cdot 100N/m²)}{8N/m²}}

Next Step Convert Units

∴

r disc = \frac{0.0065m}{\frac{80Pa - (0.3 \cdot 100Pa)}{8Pa}}

Next Step Prepare to Evaluate

∴

r disc = \frac{0.0065}{\frac{80 - (0.3 \cdot 100)}{8}}

Next Step Evaluate

∴

r disc = 0.00104m

LAST Step Convert to Output's Unit

∴

r disc = 1.04mm

Radius of disc given stresses on disc Formula Elements

Variables

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

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

Other Formulas to find Disc Radius

Go Mean radius of cylinder given hoop stress in thin cylinder

r disc = \frac{σ θ}{ρ \cdot ω}

Go Radius of disc given circumferential strain for rotating thin disc

r disc = \frac{R i}{e 1}

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

ω = \frac{σ θ}{ρ \cdot r disc}

Go Hoop stress in thin cylinder given tangential velocity of cylinder

σ θ = v t \cdot ρ

How to Evaluate Radius of disc given stresses on disc?

Radius of disc given stresses on disc evaluator uses Radius of Disc = Increase in radius/((Circumferential Stress-(Poisson's Ratio*Radial Stress))/Modulus Of Elasticity Of Disc) to evaluate the Disc Radius, Radius of disc given stresses on disc formula is defined as a relationship that describes how the radius of a rotating disc is influenced by the stresses acting on it, accounting for material properties and deformation under load. Disc Radius is denoted by r_disc symbol.

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

FAQs on Radius of disc given stresses on disc

What is the formula to find Radius of disc given stresses on disc?

The formula of Radius of disc given stresses on disc is expressed as Radius of Disc = Increase in radius/((Circumferential Stress-(Poisson's Ratio*Radial Stress))/Modulus Of Elasticity Of Disc). Here is an example- 1040 = 0.0065/((80-(0.3*100))/8).

How to calculate Radius of disc given stresses on disc?

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

What are the other ways to Calculate Disc Radius?

Here are the different ways to Calculate Disc Radius-

Radius of Disc=Hoop Stress in Disc/(Density of Disc*Angular Velocity)
Radius of Disc=Increase in Radius/Circumferential Strain

Can the Radius of disc given stresses on disc be negative?

No, the Radius of disc given stresses on disc, measured in Length cannot be negative.

Which unit is used to measure Radius of disc given stresses on disc?

Radius 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 Radius of disc given stresses on disc can be measured.

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Radius of disc given stresses on disc Formula

​GoMean radius of cylinder given hoop stress in thin cylinder Formula

​GoRadius of disc given circumferential strain for rotating thin disc Formula

Radius of disc given stresses on disc Example

Radius of disc given stresses on disc Solution

Radius of disc given stresses on disc Formula Elements

Other Formulas to find Disc Radius

Other formulas in Relation of Parameters category

How to Evaluate Radius of disc given stresses on disc?

FAQs on Radius of disc given stresses on disc

Variable Name

GoMean radius of cylinder given hoop stress in thin cylinder Formula

GoRadius of disc given circumferential strain for rotating thin disc Formula