Circumferential stress given circumferential strain on disc Solution

STEP 0: Pre-Calculation Summary
Formula Used
Circumferential Stress = (Circumferential strain*Modulus Of Elasticity Of Disc)+(Poisson's Ratio*Radial Stress)
σc = (e1*E)+(𝛎*σr)
This formula uses 5 Variables
Variables Used
Circumferential Stress - (Measured in Pascal) - Circumferential Stress is the force over area exerted circumferentially perpendicular to the axis and the radius.
Circumferential strain - Circumferential strain represents the change in length.
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.
Radial Stress - (Measured in Pascal) - Radial Stress induced by a bending moment in a member of constant cross section.
STEP 1: Convert Input(s) to Base Unit
Circumferential strain: 2.5 --> No Conversion Required
Modulus Of Elasticity Of Disc: 8 Newton per Square Meter --> 8 Pascal (Check conversion here)
Poisson's Ratio: 0.3 --> No Conversion Required
Radial Stress: 100 Newton per Square Meter --> 100 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σc = (e1*E)+(𝛎*σr) --> (2.5*8)+(0.3*100)
Evaluating ... ...
σc = 50
STEP 3: Convert Result to Output's Unit
50 Pascal -->50 Newton per Square Meter (Check conversion here)
FINAL ANSWER
50 Newton per Square Meter <-- Circumferential Stress
(Calculation completed in 00.004 seconds)

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7 Circumferential Stress And Strain Calculators

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

Circumferential stress given circumferential strain on disc Formula

Circumferential Stress = (Circumferential strain*Modulus Of Elasticity Of Disc)+(Poisson's Ratio*Radial Stress)
σc = (e1*E)+(𝛎*σr)

What is the allowable stress?

Allowable stress, or allowable strength, is the maximum stress that can be safely applied to a structure. Allowable stress is the stress at which a member is not expected to fail under the given loading conditions.

How to Calculate Circumferential stress given circumferential strain on disc?

Circumferential stress given circumferential strain on disc calculator uses Circumferential Stress = (Circumferential strain*Modulus Of Elasticity Of Disc)+(Poisson's Ratio*Radial Stress) to calculate the Circumferential Stress, The Circumferential stress given circumferential strain on disc formula is defined as the force over area exerted circumferentially perpendicular to the axis and the radius. Circumferential Stress is denoted by σc symbol.

How to calculate Circumferential stress given circumferential strain on disc using this online calculator? To use this online calculator for Circumferential stress given circumferential strain on disc, enter Circumferential strain (e1), Modulus Of Elasticity Of Disc (E), Poisson's Ratio (𝛎) & Radial Stress r) and hit the calculate button. Here is how the Circumferential stress given circumferential strain on disc calculation can be explained with given input values -> 50 = (2.5*8)+(0.3*100).

FAQ

What is Circumferential stress given circumferential strain on disc?
The Circumferential stress given circumferential strain on disc formula is defined as the force over area exerted circumferentially perpendicular to the axis and the radius and is represented as σc = (e1*E)+(𝛎*σr) or Circumferential Stress = (Circumferential strain*Modulus Of Elasticity Of Disc)+(Poisson's Ratio*Radial Stress). Circumferential strain represents the change in length, 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 & Radial Stress induced by a bending moment in a member of constant cross section.
How to calculate Circumferential stress given circumferential strain on disc?
The Circumferential stress given circumferential strain on disc formula is defined as the force over area exerted circumferentially perpendicular to the axis and the radius is calculated using Circumferential Stress = (Circumferential strain*Modulus Of Elasticity Of Disc)+(Poisson's Ratio*Radial Stress). To calculate Circumferential stress given circumferential strain on disc, you need Circumferential strain (e1), Modulus Of Elasticity Of Disc (E), Poisson's Ratio (𝛎) & Radial Stress r). With our tool, you need to enter the respective value for Circumferential strain, Modulus Of Elasticity Of Disc, Poisson's Ratio & Radial 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 Circumferential Stress?
In this formula, Circumferential Stress uses Circumferential strain, Modulus Of Elasticity Of Disc, Poisson's Ratio & Radial Stress. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Circumferential Stress = (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)
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