Radial strain on disc given stresses Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radial strain = (Radial Stress-(Poisson's Ratio*Circumferential Stress))/Modulus Of Elasticity Of Disc
er = (σr-(𝛎*σc))/E
This formula uses 5 Variables
Variables Used
Radial strain - Radial strain is the change in length per unit length in a direction radially outward from the charge.
Radial Stress - (Measured in Pascal) - Radial Stress induced by a bending moment in a member of constant cross section.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Radial Stress: 100 Newton per Square Meter --> 100 Pascal (Check conversion here)
Poisson's Ratio: 0.3 --> No Conversion Required
Circumferential Stress: 80 Newton per Square Meter --> 80 Pascal (Check conversion here)
Modulus Of Elasticity Of Disc: 8 Newton per Square Meter --> 8 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
er = (σr-(𝛎*σc))/E --> (100-(0.3*80))/8
Evaluating ... ...
er = 9.5
STEP 3: Convert Result to Output's Unit
9.5 --> No Conversion Required
FINAL ANSWER
9.5 <-- Radial strain
(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 strain on disc given stresses Formula

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

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 Radial strain on disc given stresses?

Radial strain on disc given stresses calculator uses Radial strain = (Radial Stress-(Poisson's Ratio*Circumferential Stress))/Modulus Of Elasticity Of Disc to calculate the Radial strain, The Radial strain on disc given stresses formula is defined as the change in length per unit length in a direction radially outward from the charge. Radial strain is denoted by er symbol.

How to calculate Radial strain on disc given stresses using this online calculator? To use this online calculator for Radial strain on disc given stresses, enter Radial Stress r), Poisson's Ratio (𝛎), Circumferential Stress c) & Modulus Of Elasticity Of Disc (E) and hit the calculate button. Here is how the Radial strain on disc given stresses calculation can be explained with given input values -> 9.5 = (100-(0.3*80))/8.

FAQ

What is Radial strain on disc given stresses?
The Radial strain on disc given stresses formula is defined as the change in length per unit length in a direction radially outward from the charge and is represented as er = (σr-(𝛎*σc))/E or Radial strain = (Radial Stress-(Poisson's Ratio*Circumferential Stress))/Modulus Of Elasticity Of Disc. Radial Stress induced by a bending moment in a member of constant cross section, 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 & Modulus Of Elasticity Of Disc is a quantity that measures disc's resistance to being deformed elastically when a stress is applied to it.
How to calculate Radial strain on disc given stresses?
The Radial strain on disc given stresses formula is defined as the change in length per unit length in a direction radially outward from the charge is calculated using Radial strain = (Radial Stress-(Poisson's Ratio*Circumferential Stress))/Modulus Of Elasticity Of Disc. To calculate Radial strain on disc given stresses, you need Radial Stress r), Poisson's Ratio (𝛎), Circumferential Stress c) & Modulus Of Elasticity Of Disc (E). With our tool, you need to enter the respective value for Radial Stress, Poisson's Ratio, Circumferential Stress & Modulus Of Elasticity Of Disc 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 strain?
In this formula, Radial strain uses Radial Stress, Poisson's Ratio, Circumferential Stress & Modulus Of Elasticity Of Disc. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Radial strain = (Final Radial Width-Initial Radial Width)/Initial Radial Width
  • Radial strain = Increase in Radial Width/Initial Radial Width
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