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Radial Stress induced by a bending moment in a member of constant cross section. Check FAQs
σr=σc-(e1E)𝛎
σr - Radial Stress?σc - Circumferential Stress?e1 - Circumferential Strain?E - Modulus Of Elasticity Of Disc?𝛎 - Poisson's Ratio?

Radial stress for disc given circumferential strain on disc Example

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With units
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Here is how the Radial stress for disc given circumferential strain on disc equation looks like with Values.

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

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

200Edit=80Edit-(2.5Edit8Edit)0.3Edit
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Radial stress for disc given circumferential strain on disc Solution

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

FIRST Step Consider the formula
σr=σc-(e1E)𝛎
Next Step Substitute values of Variables
σr=80N/m²-(2.58N/m²)0.3
Next Step Convert Units
σr=80Pa-(2.58Pa)0.3
Next Step Prepare to Evaluate
σr=80-(2.58)0.3
Next Step Evaluate
σr=200Pa
LAST Step Convert to Output's Unit
σr=200N/m²

Radial stress for disc given circumferential strain on disc Formula Elements

Variables
Radial Stress
Radial Stress induced by a bending moment in a member of constant cross section.
Symbol: σr
Measurement: PressureUnit: N/m²
Note: Value should be greater than 0.
Circumferential Stress
Circumferential Stress is the force over area exerted circumferentially perpendicular to the axis and the radius.
Symbol: σc
Measurement: StressUnit: N/m²
Note: Value should be greater than 0.
Circumferential Strain
Circumferential strain represents the change in length.
Symbol: e1
Measurement: NAUnit: Unitless
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.

Other Formulas to find Radial Stress

​Go Radial stress given initial radial width of disc
σr=((dudr)E)+(𝛎σc)
​Go Radial stress given radial strain on disc
σr=(erE)+(𝛎σc)
​Go Radial stress given radius of disc
σr=σc-((Rirdisc)E)𝛎

Other formulas in Radial Stress and Strain category

​Go Radial strain for rotating thin disc
er=drf-drdr
​Go Radial strain for rotating thin disc given initial radial width of disc
er=dudr
​Go Radial strain on disc given stresses
er=σr-(𝛎σc)E

How to Evaluate Radial stress for disc given circumferential strain on disc?

Radial stress for disc given circumferential strain on disc evaluator uses Radial Stress = (Circumferential Stress-(Circumferential Strain*Modulus Of Elasticity Of Disc))/(Poisson's Ratio) to evaluate the Radial Stress, Radial stress for disc given circumferential strain on disc formula is defined as a relationship that describes how radial stress in a rotating disc is influenced by the circumferential strain and material properties, ensuring structural integrity under rotational forces. Radial Stress is denoted by σr symbol.

How to evaluate Radial stress for disc given circumferential strain on disc using this online evaluator? To use this online evaluator for Radial stress for disc given circumferential strain on disc, enter Circumferential Stress c), Circumferential Strain (e1), Modulus Of Elasticity Of Disc (E) & Poisson's Ratio (𝛎) and hit the calculate button.

FAQs on Radial stress for disc given circumferential strain on disc

What is the formula to find Radial stress for disc given circumferential strain on disc?
The formula of Radial stress for disc given circumferential strain on disc is expressed as Radial Stress = (Circumferential Stress-(Circumferential Strain*Modulus Of Elasticity Of Disc))/(Poisson's Ratio). Here is an example- 200 = (80-(2.5*8))/(0.3).
How to calculate Radial stress for disc given circumferential strain on disc?
With Circumferential Stress c), Circumferential Strain (e1), Modulus Of Elasticity Of Disc (E) & Poisson's Ratio (𝛎) we can find Radial stress for disc given circumferential strain on disc using the formula - Radial Stress = (Circumferential Stress-(Circumferential Strain*Modulus Of Elasticity Of Disc))/(Poisson's Ratio).
What are the other ways to Calculate Radial Stress?
Here are the different ways to Calculate Radial Stress-
  • Radial Stress=((Increase in Radial Width/Initial Radial Width)*Modulus of Elasticity of Disc)+(Poisson's Ratio*Circumferential Stress)OpenImg
  • Radial Stress=(Radial Strain*Modulus of Elasticity of Disc)+(Poisson's Ratio*Circumferential Stress)OpenImg
  • Radial Stress=(Circumferential Stress-((Increase in Radius/Radius of Disc)*Modulus of Elasticity of Disc))/(Poisson's Ratio)OpenImg
Can the Radial stress for disc given circumferential strain on disc be negative?
No, the Radial stress for disc given circumferential strain on disc, measured in Pressure cannot be negative.
Which unit is used to measure Radial stress for disc given circumferential strain on disc?
Radial stress for disc given circumferential 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 for disc given circumferential strain on disc can be measured.
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