FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Radial stress given radial strain on disc Formula

GoRadial stress for disc given circumferential strain on disc Formula

GoRadial stress given initial radial width of disc Formula

Fx Copy

LaTeX Copy

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

σ r = (e r \cdot E) + (𝛎 \cdot σ c)

σ_r - Radial Stress?e_r - Radial strain?E - Modulus Of Elasticity Of Disc?𝛎 - Poisson's Ratio?σ_c - Circumferential Stress?

Radial stress given radial strain on disc Example

With values

With units

Only example

Here is how the Radial stress given radial strain on disc equation looks like with Values.

Here is how the Radial stress given radial strain on disc equation looks like with Units.

Here is how the Radial stress given radial strain on disc equation looks like.

56 = (4 \cdot 8) + (0.3 \cdot 80)

56N/m² = (4 \cdot 8N/m²) + (0.3 \cdot 80N/m²)

56 = (4 \cdot 8) + (0.3 \cdot 80)

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Strength of Materials » fx Radial stress given radial strain on disc

Radial stress given radial strain on disc Solution

Follow our step by step solution on how to calculate Radial stress given radial strain on disc?

FIRST Step Consider the formula

σ r = (e r \cdot E) + (𝛎 \cdot σ c)

Next Step Substitute values of Variables

∴

σ r = (4 \cdot 8N/m²) + (0.3 \cdot 80N/m²)

Next Step Convert Units

∴

σ r = (4 \cdot 8Pa) + (0.3 \cdot 80Pa)

Next Step Prepare to Evaluate

∴

σ r = (4 \cdot 8) + (0.3 \cdot 80)

Next Step Evaluate

∴

σ r = 56Pa

LAST Step Convert to Output's Unit

∴

σ r = 56N/m²

Radial stress given radial strain on 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.

Formulas to find Radial Stress

Radial strain

Radial strain is the change in length per unit length in a direction radially outward from the charge.

Symbol: e_r

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Radial strain

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

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

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 initial radial width of disc

σ r = ((\frac{du}{dr}) \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 radial strain on disc?

Radial stress given radial strain on disc evaluator uses Radial Stress = (Radial strain*Modulus Of Elasticity Of Disc)+(Poisson's Ratio*Circumferential Stress) to evaluate the Radial Stress, Radial stress given radial strain on disc formula is defined as a relationship that describes how radial strain influences the stress experienced by a rotating disc, incorporating material properties such as Young's modulus and Poisson's ratio. Radial Stress is denoted by σ_r symbol.

How to evaluate Radial stress given radial strain on disc using this online evaluator? To use this online evaluator for Radial stress given radial strain on disc, enter Radial strain (e_r), Modulus Of Elasticity Of Disc (E), Poisson's Ratio (𝛎) & Circumferential Stress (σ_c) and hit the calculate button.

FAQs on Radial stress given radial strain on disc

What is the formula to find Radial stress given radial strain on disc?

The formula of Radial stress given radial strain on disc is expressed as Radial Stress = (Radial strain*Modulus Of Elasticity Of Disc)+(Poisson's Ratio*Circumferential Stress). Here is an example- 56 = (4*8)+(0.3*80).

How to calculate Radial stress given radial strain on disc?

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

Can the Radial stress given radial strain on disc be negative?

No, the Radial stress given radial strain on disc, measured in Pressure cannot be negative.

Which unit is used to measure Radial stress given radial strain on disc?

Radial stress given radial strain on 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 radial strain on disc can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Radial stress given radial strain on disc Formula

​GoRadial stress for disc given circumferential strain on disc Formula

​GoRadial stress given initial radial width of disc Formula

Radial stress given radial strain on disc Example

Radial stress given radial strain on disc Solution

Radial stress given radial strain on disc Formula Elements

Other Formulas to find Radial Stress

Other formulas in Radial Stress and Strain category

How to Evaluate Radial stress given radial strain on disc?

FAQs on Radial stress given radial strain on disc

Variable Name

GoRadial stress for disc given circumferential strain on disc Formula

GoRadial stress given initial radial width of disc Formula