Radial strain on disc given stresses Calculator

✖Radial Stress induced by a bending moment in a member of constant cross section.ⓘ Radial Stress [σ_r]			+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%
✖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%

✖Radial strain is the change in length per unit length in a direction radially outward from the charge.ⓘ Radial strain on disc given stresses [e_r]

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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
e_r = (σ_r-(𝛎*σ_c))/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

e_r = (σ_r-(𝛎*σ_c))/E --> (100-(0.3*80))/8

Evaluating ... ...

e_r = 9.5

STEP 3: Convert Result to Output's Unit

9.5 --> No Conversion Required

FINAL ANSWER

9.5 <-- Radial strain

(Calculation completed in 00.020 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< Radial Stress and Strain Calculators

Radial stress for disc given circumferential strain on disc

LaTeX Go Radial Stress = (Circumferential Stress-(Circumferential strain*Modulus Of Elasticity Of Disc))/(Poisson's Ratio)

Radial strain on disc given stresses

LaTeX Go Radial strain = (Radial Stress-(Poisson's Ratio*Circumferential Stress))/Modulus Of Elasticity Of Disc

Radial strain for rotating thin disc

LaTeX Go Radial strain = (Final Radial Width-Initial Radial Width)/Initial Radial Width

Radial strain for rotating thin disc given initial radial width of disc

LaTeX Go Radial strain = Increase in Radial Width/Initial Radial Width

Radial strain on disc given stresses Formula

LaTeX Go

Radial strain = (Radial Stress-(Poisson's Ratio*Circumferential Stress))/Modulus Of Elasticity Of Disc
e_r = (σ_r-(𝛎*σ_c))/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 e_r 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 (σ_r), Poisson's Ratio (𝛎), Circumferential Stress (σ_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 e_r = (σ_r-(𝛎*σ_c))/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 (σ_r), Poisson's Ratio (𝛎), Circumferential Stress (σ_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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