Radial stress given initial radial width of disc Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radial Stress = ((Increase in Radial Width/Initial Radial Width)*Modulus Of Elasticity Of Disc)+(Poisson's Ratio*Circumferential Stress)
σr = ((du/dr)*E)+(𝛎*σc)
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.
Increase in Radial Width - (Measured in Meter) - Increase in Radial Width is the increase in radial width due to strain.
Initial Radial Width - (Measured in Meter) - Initial Radial Width is the radial width without any strain.
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.
Circumferential Stress - (Measured in Pascal) - Circumferential Stress is the force over area exerted circumferentially perpendicular to the axis and the radius.
STEP 1: Convert Input(s) to Base Unit
Increase in Radial Width: 3.4 Millimeter --> 0.0034 Meter (Check conversion here)
Initial Radial Width: 3 Millimeter --> 0.003 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
Circumferential Stress: 80 Newton per Square Meter --> 80 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σr = ((du/dr)*E)+(𝛎*σc) --> ((0.0034/0.003)*8)+(0.3*80)
Evaluating ... ...
σr = 33.0666666666667
STEP 3: Convert Result to Output's Unit
33.0666666666667 Pascal -->33.0666666666667 Newton per Square Meter (Check conversion here)
FINAL ANSWER
33.0666666666667 33.06667 Newton per Square Meter <-- Radial Stress
(Calculation completed in 00.019 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 initial radial width of disc Formula

Radial Stress = ((Increase in Radial Width/Initial Radial Width)*Modulus Of Elasticity Of Disc)+(Poisson's Ratio*Circumferential Stress)
σr = ((du/dr)*E)+(𝛎*σc)

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 initial radial width of disc?

Radial stress given initial radial width of disc calculator uses Radial Stress = ((Increase in Radial Width/Initial Radial Width)*Modulus Of Elasticity Of Disc)+(Poisson's Ratio*Circumferential Stress) to calculate 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 σr symbol.

How to calculate Radial stress given initial radial width of disc using this online calculator? To use this online calculator 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 c) and hit the calculate button. Here is how the Radial stress given initial radial width of disc calculation can be explained with given input values -> 33.06667 = ((0.0034/0.003)*8)+(0.3*80).

FAQ

What is Radial stress given initial radial width of disc?
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 and is represented as σr = ((du/dr)*E)+(𝛎*σc) or Radial Stress = ((Increase in Radial Width/Initial Radial Width)*Modulus Of Elasticity Of Disc)+(Poisson's Ratio*Circumferential Stress). Increase in Radial Width is the increase in radial width due to strain, Initial Radial Width is the radial width without any strain, 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 & Circumferential Stress is the force over area exerted circumferentially perpendicular to the axis and the radius.
How to calculate Radial stress given initial radial width of disc?
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 is calculated using Radial Stress = ((Increase in Radial Width/Initial Radial Width)*Modulus Of Elasticity Of Disc)+(Poisson's Ratio*Circumferential Stress). To calculate Radial stress given initial radial width of disc, you need Increase in Radial Width (du), Initial Radial Width (dr), Modulus Of Elasticity Of Disc (E), Poisson's Ratio (𝛎) & Circumferential Stress c). With our tool, you need to enter the respective value for Increase in Radial Width, Initial Radial Width, Modulus Of Elasticity Of Disc, Poisson's Ratio & Circumferential Stress 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 Increase in Radial Width, Initial Radial Width, Modulus Of Elasticity Of Disc, Poisson's Ratio & Circumferential Stress. 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 = (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)
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