Radial stress given radius of disc Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radial Stress = (Circumferential Stress-((Increase in radius/Disc Radius)*Modulus Of Elasticity Of Disc))/(Poisson's Ratio)
σr = (σc-((Ri/rdisc)*E))/(𝛎)
This formula uses 6 Variables
Variables Used
Radial Stress - (Measured in Pascal) - Radial Stress induced by a bending moment in a member of constant cross section.
Circumferential Stress - (Measured in Pascal) - Circumferential Stress is the force over area exerted circumferentially perpendicular to the axis and the radius.
Increase in radius - (Measured in Meter) - Increase in radius is the increase in inner radius of outer cylinder of compound cylinder.
Disc Radius - (Measured in Meter) - Disc Radius is a radial line from the focus to any point of a curve.
Modulus Of Elasticity Of Disc - (Measured in Pascal) - Modulus Of Elasticity Of Disc is a quantity that measures disc's resistance to being deformed elastically when a stress is applied to it.
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.
STEP 1: Convert Input(s) to Base Unit
Circumferential Stress: 80 Newton per Square Meter --> 80 Pascal (Check conversion here)
Increase in radius: 6.5 Millimeter --> 0.0065 Meter (Check conversion here)
Disc Radius: 1000 Millimeter --> 1 Meter (Check conversion here)
Modulus Of Elasticity Of Disc: 8 Newton per Square Meter --> 8 Pascal (Check conversion here)
Poisson's Ratio: 0.3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σr = (σc-((Ri/rdisc)*E))/(𝛎) --> (80-((0.0065/1)*8))/(0.3)
Evaluating ... ...
σr = 266.493333333333
STEP 3: Convert Result to Output's Unit
266.493333333333 Pascal -->266.493333333333 Newton per Square Meter (Check conversion here)
FINAL ANSWER
266.493333333333 266.4933 Newton per Square Meter <-- Radial Stress
(Calculation completed in 00.004 seconds)

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7 Radial Stress And Strain Calculators

Radial stress given initial radial width of disc
Go Radial Stress = ((Increase in Radial Width/Initial Radial Width)*Modulus Of Elasticity Of Disc)+(Poisson's Ratio*Circumferential Stress)
Radial stress given radius of disc
Go Radial Stress = (Circumferential Stress-((Increase in radius/Disc Radius)*Modulus Of Elasticity Of Disc))/(Poisson's Ratio)
Radial stress for disc given circumferential strain on disc
Go Radial Stress = (Circumferential Stress-(Circumferential strain*Modulus Of Elasticity Of Disc))/(Poisson's Ratio)
Radial stress given radial strain on disc
Go Radial Stress = (Radial strain*Modulus Of Elasticity Of Disc)+(Poisson's Ratio*Circumferential Stress)
Radial strain on disc given stresses
Go Radial strain = (Radial Stress-(Poisson's Ratio*Circumferential Stress))/Modulus Of Elasticity Of Disc
Radial strain for rotating thin disc
Go Radial strain = (Final Radial Width-Initial Radial Width)/Initial Radial Width
Radial strain for rotating thin disc given initial radial width of disc
Go Radial strain = Increase in Radial Width/Initial Radial Width

Radial stress given radius of disc Formula

Radial Stress = (Circumferential Stress-((Increase in radius/Disc Radius)*Modulus Of Elasticity Of Disc))/(Poisson's Ratio)
σr = (σc-((Ri/rdisc)*E))/(𝛎)

What is compression stress force?

Compression stress force is the stress that squeezes something. It is the stress component perpendicular to a given surface, such as a fault plane, that results from forces applied perpendicular to the surface or from remote forces transmitted through the surrounding rock.

How to Calculate Radial stress given radius of disc?

Radial stress given radius of disc calculator uses Radial Stress = (Circumferential Stress-((Increase in radius/Disc Radius)*Modulus Of Elasticity Of Disc))/(Poisson's Ratio) to calculate the Radial Stress, The Radial stress given radius of disc formula is defined as normal stress in directions coplanar with but perpendicular to the symmetry axis. Radial Stress is denoted by σr symbol.

How to calculate Radial stress given radius of disc using this online calculator? To use this online calculator for Radial stress given radius of disc, enter Circumferential Stress c), Increase in radius (Ri), Disc Radius (rdisc), Modulus Of Elasticity Of Disc (E) & Poisson's Ratio (𝛎) and hit the calculate button. Here is how the Radial stress given radius of disc calculation can be explained with given input values -> 266.4933 = (80-((0.0065/1)*8))/(0.3).

FAQ

What is Radial stress given radius of disc?
The Radial stress given radius of disc formula is defined as normal stress in directions coplanar with but perpendicular to the symmetry axis and is represented as σr = (σc-((Ri/rdisc)*E))/(𝛎) or Radial Stress = (Circumferential Stress-((Increase in radius/Disc Radius)*Modulus Of Elasticity Of Disc))/(Poisson's Ratio). Circumferential Stress is the force over area exerted circumferentially perpendicular to the axis and the radius, Increase in radius is the increase in inner radius of outer cylinder of compound cylinder, Disc Radius is a radial line from the focus to any point of a curve, Modulus Of Elasticity Of Disc is a quantity that measures disc's resistance to being deformed elastically when a stress is applied to it & 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.
How to calculate Radial stress given radius of disc?
The Radial stress given radius of disc formula is defined as normal stress in directions coplanar with but perpendicular to the symmetry axis is calculated using Radial Stress = (Circumferential Stress-((Increase in radius/Disc Radius)*Modulus Of Elasticity Of Disc))/(Poisson's Ratio). To calculate Radial stress given radius of disc, you need Circumferential Stress c), Increase in radius (Ri), Disc Radius (rdisc), Modulus Of Elasticity Of Disc (E) & Poisson's Ratio (𝛎). With our tool, you need to enter the respective value for Circumferential Stress, Increase in radius, Disc Radius, Modulus Of Elasticity Of Disc & Poisson's Ratio and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Radial Stress?
In this formula, Radial Stress uses Circumferential Stress, Increase in radius, Disc Radius, Modulus Of Elasticity Of Disc & Poisson's Ratio. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • 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 = (Radial strain*Modulus Of Elasticity Of Disc)+(Poisson's Ratio*Circumferential Stress)
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