Radial stress given radial strain on disc Calculator

✖Radial strain is the change in length per unit length in a direction radially outward from the charge.ⓘ Radial strain [e_r]			+10% -10%
✖Modulus Of Elasticity Of Disc is a quantity that measures disc's resistance to being deformed elastically when a stress is applied to it.ⓘ Modulus Of Elasticity Of Disc [E]			+10% -10%
✖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.ⓘ Poisson's Ratio [𝛎]			+10% -10%
✖Circumferential Stress is the force over area exerted circumferentially perpendicular to the axis and the radius.ⓘ Circumferential Stress [σ_c]			+10% -10%

✖Radial Stress induced by a bending moment in a member of constant cross section.ⓘ Radial stress given radial strain on disc [σ_r]

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Formula

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Radial stress given radial strain on disc

Formula

`"σ"_{"r"} = ("e"_{"r"}*"E")+("𝛎"*"σ"_{"c"})`

Example

`"56N/m²"=("4"*"8N/m²")+("0.3"*"80N/m²")`

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Radial stress given radial strain on disc Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radial Stress = (Radial strain*Modulus Of Elasticity Of Disc)+(Poisson's Ratio*Circumferential Stress)
σ_r = (e_r*E)+(𝛎*σ_c)
This formula uses 5 Variables

Variables Used

Radial Stress - (Measured in Pascal) - Radial Stress induced by a bending moment in a member of constant cross section.
Radial strain - Radial strain is the change in length per unit length in a direction radially outward from the charge.
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

Radial strain: 4 --> 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
Circumferential Stress: 80 Newton per Square Meter --> 80 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_r = (e_r*E)+(𝛎*σ_c) --> (4*8)+(0.3*80)

Evaluating ... ...

σ_r = 56

STEP 3: Convert Result to Output's Unit

56 Pascal -->56 Newton per Square Meter (Check conversion here)

FINAL ANSWER

56 Newton per Square Meter <-- Radial Stress

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Rotating Disc And Cylinder » Expression for Stresses in Rotating Thin Disc » Radial Stress And Strain » Radial stress given radial strain on disc

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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 radial strain on disc Formula

Radial Stress = (Radial strain*Modulus Of Elasticity Of Disc)+(Poisson's Ratio*Circumferential Stress)
σ_r = (e_r*E)+(𝛎*σ_c)

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 stress given radial strain on disc?

Radial stress given radial strain on disc calculator uses Radial Stress = (Radial strain*Modulus Of Elasticity Of Disc)+(Poisson's Ratio*Circumferential Stress) to calculate the Radial Stress, The Radial stress given radial strain on disc formula is defined as normal stress in directions coplanar with but perpendicular to the symmetry axis. Radial Stress is denoted by σ_r symbol.

How to calculate Radial stress given radial strain on disc using this online calculator? To use this online calculator for Radial stress given radial strain on disc, enter Radial strain (e_r), Modulus Of Elasticity Of Disc (E), Poisson's Ratio (𝛎) & Circumferential Stress (σ_c) and hit the calculate button. Here is how the Radial stress given radial strain on disc calculation can be explained with given input values -> 56 = (4*8)+(0.3*80).

FAQ

What is Radial stress given radial strain on disc?

The Radial stress given radial strain on disc formula is defined as normal stress in directions coplanar with but perpendicular to the symmetry axis and is represented as σ_r = (e_r*E)+(𝛎*σ_c) or Radial Stress = (Radial strain*Modulus Of Elasticity Of Disc)+(Poisson's Ratio*Circumferential Stress). Radial strain is the change in length per unit length in a direction radially outward from the charge, 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 radial strain on disc?

The Radial stress given radial strain on disc formula is defined as normal stress in directions coplanar with but perpendicular to the symmetry axis is calculated using Radial Stress = (Radial strain*Modulus Of Elasticity Of Disc)+(Poisson's Ratio*Circumferential Stress). To calculate Radial stress given radial strain on disc, you need Radial strain (e_r), Modulus Of Elasticity Of Disc (E), Poisson's Ratio (𝛎) & Circumferential Stress (σ_c). With our tool, you need to enter the respective value for Radial strain, 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 Radial strain, 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 = ((Increase in Radial Width/Initial Radial Width)*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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