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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 refers to the change or growth in the radius of a circular object (such as a disc, cylinder, or sphere) due to external or internal factors. Check FAQs

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

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

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

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

ΔR = 6.25m

LAST Step Convert to Output's Unit

∴

ΔR = 6250mm

Increase in radius of disc given stresses Formula Elements

Variables

Increase in Radius

Increase in radius refers to the change or growth in the radius of a circular object (such as a disc, cylinder, or sphere) due to external or internal factors.

Symbol: ΔR

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Increase in Radius

Circumferential Stress

Circumferential stress is the stress that acts along the circumference of a cylindrical or spherical object, the stress that develops when the object is subjected to internal or external pressure.

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 a material property that describes the relationship between the lateral strain and the longitudinal strain.

Symbol: 𝛎

Measurement: NAUnit: Unitless

Note: Value should be between -1 to 10.

Formulas to find Poisson's Ratio

Radial Stress

Radial stress refers to the stress that acts perpendicular to the longitudinal axis of a component, directed either towards or away from the central axis.

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 refers to a material property that measures its ability to resist deformation under stress, specifically in response to stretching or compressing forces.

Symbol: E

Measurement: PressureUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity of Disc

Radius of Disc

Radius of disc is the distance from the center of the disc to any point on its edge (circumference).

Symbol: r_disc

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of Disc

Other Formulas to find Increase in Radius

Go Increase in radius given circumferential strain for rotating thin disc

ΔR = 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)*Radius of Disc to evaluate the Increase in Radius, Increase in radius of disc given stresses formula is defined as a relationship that describes how the radius of a rotating disc changes in response to applied stresses, accounting for material properties and geometric factors. Increase in Radius is denoted by ΔR 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) & Radius of Disc (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)*Radius of Disc. 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) & Radius of Disc (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)*Radius of Disc.

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*Radius of Disc

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