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Radial stress given initial radial width of disc Formula

GoRadial stress for disc given circumferential strain on disc Formula

GoRadial stress given radial strain on disc Formula

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Radial Stress induced by a bending moment in a member of constant cross section. Check FAQs

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

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

Radial stress given initial radial width of disc Example

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Here is how the Radial stress given initial radial width of disc equation looks like with Values.

Here is how the Radial stress given initial radial width of disc equation looks like with Units.

Here is how the Radial stress given initial radial width of disc equation looks like.

33.0667 = ((\frac{3.4}{3}) \cdot 8) + (0.3 \cdot 80)

33.0667N/m² = ((\frac{3.4mm}{3mm}) \cdot 8N/m²) + (0.3 \cdot 80N/m²)

33.0667 = ((\frac{3.4}{3}) \cdot 8) + (0.3 \cdot 80)

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Home » Physics » Mechanical » Strength of Materials » Radial stress given initial radial width of disc

Radial stress given initial radial width of disc Solution

Follow our step by step solution on how to calculate Radial stress given initial radial width of disc?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σ r = ((\frac{3.4mm}{3mm}) \cdot 8N/m²) + (0.3 \cdot 80N/m²)

Next Step Convert Units

∴

σ r = ((\frac{0.0034m}{0.003m}) \cdot 8Pa) + (0.3 \cdot 80Pa)

Next Step Prepare to Evaluate

∴

σ r = ((\frac{0.0034}{0.003}) \cdot 8) + (0.3 \cdot 80)

Next Step Evaluate

∴

σ r = 33.0666666666667Pa

Next Step Convert to Output's Unit

∴

σ r = 33.0666666666667N/m²

LAST Step Rounding Answer

∴

σ r = 33.0667N/m²

Radial stress given initial radial width of disc Formula Elements

Variables

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.

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.

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.

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.

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.

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.

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Formula and 2000+ more formulas!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Formula and 1900+ more formulas!

Other Formulas to find Radial Stress

Go Radial stress for disc given circumferential strain on disc

σ r = \frac{σ c - (e 1 \cdot E)}{𝛎}

Go Radial stress given radial strain on disc

σ r = (e r \cdot E) + (𝛎 \cdot σ c)

Go Radial stress given radius of disc

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

Other formulas in Radial Stress and Strain category

Go Radial strain for rotating thin disc

e r = \frac{dr f - dr}{dr}

Go Radial strain for rotating thin disc given initial radial width of disc

e r = \frac{du}{dr}

Go Radial strain on disc given stresses

e r = \frac{σ r - (𝛎 \cdot σ c)}{E}

How to Evaluate Radial stress given initial radial width of disc?

Radial stress given initial radial width of disc evaluator uses Radial Stress = ((Increase in Radial Width/Initial Radial Width)*Modulus Of Elasticity Of Disc)+(Poisson's Ratio*Circumferential Stress) to evaluate the Radial Stress, The Radial stress given initial radial width of disc formula is defined as a normal stress in directions coplanar with but perpendicular to the symmetry axis. Radial Stress is denoted by σ_r symbol.

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

FAQs on Radial stress given initial radial width of disc

What is the formula to find Radial stress given initial radial width of disc?

The formula of Radial stress given initial radial width of disc is expressed as Radial Stress = ((Increase in Radial Width/Initial Radial Width)*Modulus Of Elasticity Of Disc)+(Poisson's Ratio*Circumferential Stress). Here is an example- 33.06667 = ((0.0034/0.003)*8)+(0.3*80).

How to calculate Radial stress given initial radial width of disc?

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

What are the other ways to Calculate Radial Stress?

Here are the different ways to Calculate Radial Stress-

Radial Stress=(Circumferential Stress-(Circumferential Strain*Modulus Of Elasticity Of Disc))/(Poisson's Ratio)
Radial Stress=(Radial strain*Modulus Of Elasticity Of Disc)+(Poisson's Ratio*Circumferential Stress)
Radial Stress=(Circumferential Stress-((Increase in radius/Disc Radius)*Modulus Of Elasticity Of Disc))/(Poisson's Ratio)

Can the Radial stress given initial radial width of disc be negative?

No, the Radial stress given initial radial width of disc, measured in Pressure cannot be negative.

Which unit is used to measure Radial stress given initial radial width of disc?

Radial stress given initial radial width of disc is usually measured using the Newton per Square Meter[N/m²] for Pressure. Pascal[N/m²], Kilopascal[N/m²], Bar[N/m²] are the few other units in which Radial stress given initial radial width of disc can be measured.

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Radial stress given initial radial width of disc Formula

​GoRadial stress for disc given circumferential strain on disc Formula

​GoRadial stress given radial strain on disc Formula

Radial stress given initial radial width of disc Example

Radial stress given initial radial width of disc Solution

Radial stress given initial radial width of disc Formula Elements

Credits

Other Formulas to find Radial Stress

Other formulas in Radial Stress and Strain category

How to Evaluate Radial stress given initial radial width of disc?

FAQs on Radial stress given initial radial width of disc

Variable Name

GoRadial stress for disc given circumferential strain on disc Formula

GoRadial stress given radial strain on disc Formula