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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. Check FAQs
σr=(εrE)+(𝛎σc)
σr - Radial Stress?εr - Radial Strain?E - Modulus of Elasticity of Disc?𝛎 - Poisson's Ratio?σc - Circumferential Stress?

Radial stress given radial strain on disc Example

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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.

56Edit=(4Edit8Edit)+(0.3Edit80Edit)
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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
σr=(εrE)+(𝛎σc)
Next Step Substitute values of Variables
σr=(48N/m²)+(0.380N/m²)
Next Step Convert Units
σr=(48Pa)+(0.380Pa)
Next Step Prepare to Evaluate
σr=(48)+(0.380)
Next Step Evaluate
σr=56Pa
LAST Step Convert to Output's Unit
σr=56N/m²

Radial stress given radial strain on disc Formula Elements

Variables
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: σr
Measurement: PressureUnit: N/m²
Note: Value should be greater than 0.
Radial Strain
Radial strain is the change in length per unit of original length in the radial direction (the direction from the center to the outer edge of an object).
Symbol: εr
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
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.
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.
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: σc
Measurement: StressUnit: N/m²
Note: Value should be greater than 0.

Other Formulas to find Radial Stress

​Go Radial stress for disc given circumferential strain on disc
σr=σc-(e1E)𝛎
​Go Radial stress given initial radial width of disc
σr=((Δrdr)E)+(𝛎σc)
​Go Radial stress given radius of disc
σr=σc-((ΔRrdisc)E)𝛎

Other formulas in Radial Stress and Strain category

​Go Radial strain for rotating thin disc
εr=drf-drdr
​Go Radial strain for rotating thin disc given initial radial width of disc
εr=Δrdr
​Go Radial strain on disc given stresses
εr=σr-(𝛎σc)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 σr 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 r), Modulus of Elasticity of Disc (E), Poisson's Ratio (𝛎) & Circumferential Stress 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 r), Modulus of Elasticity of Disc (E), Poisson's Ratio (𝛎) & Circumferential Stress 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)OpenImg
  • Radial Stress=((Increase in Radial Width/Initial Radial Width)*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 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.
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