Modulus of Elasticity given Hoop Stress due to Temperature Fall with Strain Calculator

✖Hoop Stress SOM is the stress that occurs along the pipe's circumference when pressure is applied.ⓘ Hoop Stress SOM [σ_h]			+10% -10%
✖Strain is simply the measure of how much an object is stretched or deformed.ⓘ Strain [ε]			+10% -10%

✖Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.ⓘ Modulus of Elasticity given Hoop Stress due to Temperature Fall with Strain [E]

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Formula

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Modulus of Elasticity given Hoop Stress due to Temperature Fall with Strain

Formula

`"E" = "σ"_{"h"}/"ε"`

Example

`"20000MPa"="15000MPa"/"0.75"`

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Modulus of Elasticity given Hoop Stress due to Temperature Fall with Strain Solution

STEP 0: Pre-Calculation Summary

Formula Used

Young's Modulus = Hoop Stress SOM/Strain
E = σ_h/ε
This formula uses 3 Variables

Variables Used

Young's Modulus - (Measured in Pascal) - Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.
Hoop Stress SOM - (Measured in Pascal) - Hoop Stress SOM is the stress that occurs along the pipe's circumference when pressure is applied.
Strain - Strain is simply the measure of how much an object is stretched or deformed.

STEP 1: Convert Input(s) to Base Unit

Hoop Stress SOM: 15000 Megapascal --> 15000000000 Pascal (Check conversion here)
Strain: 0.75 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = σ_h/ε --> 15000000000/0.75

Evaluating ... ...

E = 20000000000

STEP 3: Convert Result to Output's Unit

20000000000 Pascal -->20000 Megapascal (Check conversion here)

FINAL ANSWER

20000 Megapascal <-- Young's Modulus

(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< 6 Hoop Stress due to Temperature Fall Calculators

Hoop Stress due to Temperature Fall

Go Hoop Stress SOM = ((Wheel Diameter-Diameter of Tyre)/Diameter of Tyre)*Young's Modulus

Diameter of Tyre given Hoop Stress due to Temperature Fall

Go Diameter of Tyre = (Wheel Diameter)/((Hoop Stress SOM/Young's Modulus)+1)

Diameter of Wheel given Hoop Stress due to Temperature Fall

Go Wheel Diameter = (1+(Hoop Stress SOM/Young's Modulus))*Diameter of Tyre

Modulus of Elasticity given Hoop Stress due to Temperature Fall with Strain

Go Young's Modulus = Hoop Stress SOM/Strain

Hoop Stress due to Temperature Fall given Strain

Go Hoop Stress SOM = Strain*Young's Modulus

Strain for Hoop Stress due to Temperature Fall

Go Strain = Hoop Stress SOM/Young's Modulus

Modulus of Elasticity given Hoop Stress due to Temperature Fall with Strain Formula

Young's Modulus = Hoop Stress SOM/Strain
E = σ_h/ε

What is Hoop Stress?

Cylinder stress is a stress distribution with rotational symmetry; that is, which remains unchanged if the stressed object is rotated about some fixed axis. Cylinder stress patterns include: circumferential stress, or hoop stress, a normal stress in the tangential direction.

What is Modulus of Elasticity?

An elastic modulus also known as modulus of elasticity is the unit of measurement of an object's or substance's resistance to being deformed elastically when a stress is applied to it.

How to Calculate Modulus of Elasticity given Hoop Stress due to Temperature Fall with Strain?

Modulus of Elasticity given Hoop Stress due to Temperature Fall with Strain calculator uses Young's Modulus = Hoop Stress SOM/Strain to calculate the Young's Modulus, Modulus of Elasticity given Hoop Stress due to Temperature Fall with Strain formula is defined as ratio of stress to strain. Young's Modulus is denoted by E symbol.

How to calculate Modulus of Elasticity given Hoop Stress due to Temperature Fall with Strain using this online calculator? To use this online calculator for Modulus of Elasticity given Hoop Stress due to Temperature Fall with Strain, enter Hoop Stress SOM (σ_h) & Strain (ε) and hit the calculate button. Here is how the Modulus of Elasticity given Hoop Stress due to Temperature Fall with Strain calculation can be explained with given input values -> 0.013912 = 15000000000/0.75.

FAQ

What is Modulus of Elasticity given Hoop Stress due to Temperature Fall with Strain?

Modulus of Elasticity given Hoop Stress due to Temperature Fall with Strain formula is defined as ratio of stress to strain and is represented as E = σ_h/ε or Young's Modulus = Hoop Stress SOM/Strain. Hoop Stress SOM is the stress that occurs along the pipe's circumference when pressure is applied & Strain is simply the measure of how much an object is stretched or deformed.

How to calculate Modulus of Elasticity given Hoop Stress due to Temperature Fall with Strain?

Modulus of Elasticity given Hoop Stress due to Temperature Fall with Strain formula is defined as ratio of stress to strain is calculated using Young's Modulus = Hoop Stress SOM/Strain. To calculate Modulus of Elasticity given Hoop Stress due to Temperature Fall with Strain, you need Hoop Stress SOM (σ_h) & Strain (ε). With our tool, you need to enter the respective value for Hoop Stress SOM & Strain and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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