Modulus of elasticity given radial strain on disc 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%
✖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 given radial strain on disc [E]

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Modulus of elasticity given radial strain on disc Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
Radial strain - Radial strain is the change in length per unit length in a direction radially outward from the charge.

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)
Radial strain: 4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = (σ_r-(𝛎*σ_c))/e_r --> (100-(0.3*80))/4

Evaluating ... ...

E = 19

STEP 3: Convert Result to Output's Unit

19 Pascal -->19 Newton per Square Meter (Check conversion here)

FINAL ANSWER

19 Newton per Square Meter <-- Modulus Of Elasticity Of Disc

(Calculation completed in 00.004 seconds)

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< Relation of Parameters Calculators

Angular speed of rotation for thin cylinder given hoop stress in thin cylinder

LaTeX Go Angular Velocity = Hoop Stress in Disc/(Density Of Disc*Disc Radius)

Density of cylinder material given hoop stress (for thin cylinder)

LaTeX Go Density Of Disc = Hoop Stress in Disc/(Angular Velocity*Disc Radius)

Mean radius of cylinder given hoop stress in thin cylinder

LaTeX Go Disc Radius = Hoop Stress in Disc/(Density Of Disc*Angular Velocity)

Hoop stress in thin cylinder

LaTeX Go Hoop Stress in Disc = Density Of Disc*Angular Velocity*Disc Radius

Modulus of elasticity given radial strain on disc Formula

LaTeX Go

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

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 Modulus of elasticity given radial strain on disc?

Modulus of elasticity given radial strain on disc calculator uses Modulus Of Elasticity Of Disc = (Radial Stress-(Poisson's Ratio*Circumferential Stress))/Radial strain to calculate the Modulus Of Elasticity Of Disc, The Modulus of elasticity given radial strain on disc formula is defined as the measure of the stiffness of a material. in other words, it is a measure of how easily any material can be bent or stretched. Modulus Of Elasticity Of Disc is denoted by E symbol.

How to calculate Modulus of elasticity given radial strain on disc using this online calculator? To use this online calculator for Modulus of elasticity given radial strain on disc, enter Radial Stress (σ_r), Poisson's Ratio (𝛎), Circumferential Stress (σ_c) & Radial strain (e_r) and hit the calculate button. Here is how the Modulus of elasticity given radial strain on disc calculation can be explained with given input values -> 19 = (100-(0.3*80))/4.

FAQ

What is Modulus of elasticity given radial strain on disc?

The Modulus of elasticity given radial strain on disc formula is defined as the measure of the stiffness of a material. in other words, it is a measure of how easily any material can be bent or stretched and is represented as E = (σ_r-(𝛎*σ_c))/e_r or Modulus Of Elasticity Of Disc = (Radial Stress-(Poisson's Ratio*Circumferential Stress))/Radial strain. 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 & Radial strain is the change in length per unit length in a direction radially outward from the charge.

How to calculate Modulus of elasticity given radial strain on disc?

The Modulus of elasticity given radial strain on disc formula is defined as the measure of the stiffness of a material. in other words, it is a measure of how easily any material can be bent or stretched is calculated using Modulus Of Elasticity Of Disc = (Radial Stress-(Poisson's Ratio*Circumferential Stress))/Radial strain. To calculate Modulus of elasticity given radial strain on disc, you need Radial Stress (σ_r), Poisson's Ratio (𝛎), Circumferential Stress (σ_c) & Radial strain (e_r). With our tool, you need to enter the respective value for Radial Stress, Poisson's Ratio, Circumferential Stress & Radial strain 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 Modulus Of Elasticity Of Disc?

In this formula, Modulus Of Elasticity Of Disc uses Radial Stress, Poisson's Ratio, Circumferential Stress & Radial strain. We can use 3 other way(s) to calculate the same, which is/are as follows -

Modulus Of Elasticity Of Disc = (Circumferential Stress-(Poisson's Ratio*Radial Stress))/Circumferential Strain
Modulus Of Elasticity Of Disc = ((Circumferential Stress-(Poisson's Ratio*Radial Stress))/(Increase in radius/Disc Radius))
Modulus Of Elasticity Of Disc = (Radial Stress-(Poisson's Ratio*Circumferential Stress))/(Increase in Radial Width/Initial Radial Width)

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