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Modulus of Elasticity using Hoop Stress due to Temperature Fall Formula

GoModulus of Elasticity given Temperature Stress for Tapering Rod Section Formula

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Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain. Check FAQs

E = \frac{σ h \cdot d tyre}{D wheel - d tyre}

E - Young's Modulus?σ_h - Hoop Stress SOM?d_tyre - Diameter of Tyre?D_wheel - Wheel Diameter?

Modulus of Elasticity using Hoop Stress due to Temperature Fall Example

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Here is how the Modulus of Elasticity using Hoop Stress due to Temperature Fall equation looks like with Values.

Here is how the Modulus of Elasticity using Hoop Stress due to Temperature Fall equation looks like with Units.

Here is how the Modulus of Elasticity using Hoop Stress due to Temperature Fall equation looks like.

19942.1965 = \frac{15000 \cdot 0.23}{0.403 - 0.23}

19942.1965MPa = \frac{15000MPa \cdot 0.23m}{0.403m - 0.23m}

19942.1965 = \frac{15000 \cdot 0.23}{0.403 - 0.23}

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Modulus of Elasticity using Hoop Stress due to Temperature Fall Solution

Follow our step by step solution on how to calculate Modulus of Elasticity using Hoop Stress due to Temperature Fall?

FIRST Step Consider the formula

E = \frac{σ h \cdot d tyre}{D wheel - d tyre}

Next Step Substitute values of Variables

∴

E = \frac{15000MPa \cdot 0.23m}{0.403m - 0.23m}

Next Step Convert Units

∴

E = \frac{1.5E+10Pa \cdot 0.23m}{0.403m - 0.23m}

Next Step Prepare to Evaluate

∴

E = \frac{1.5E+10 \cdot 0.23}{0.403 - 0.23}

Next Step Evaluate

∴

E = 19942196531.7919Pa

Next Step Convert to Output's Unit

∴

E = 19942.1965317919MPa

LAST Step Rounding Answer

∴

E = 19942.1965MPa

Modulus of Elasticity using Hoop Stress due to Temperature Fall Formula Elements

Variables

Young's Modulus

Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

Symbol: E

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Young's Modulus

Hoop Stress SOM

Hoop Stress SOM is the stress that occurs along the pipe's circumference when pressure is applied.

Symbol: σ_h

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Hoop Stress SOM

Diameter of Tyre

The Diameter of Tyre is a little less than diameter of wheels.

Symbol: d_tyre

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Diameter of Tyre

Wheel Diameter

Wheel Diameter is a little more than diameter of tyre.

Symbol: D_wheel

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Wheel Diameter

Other Formulas to find Young's Modulus

Go Modulus of Elasticity given Temperature Stress for Tapering Rod Section

E = \frac{σ}{t \cdot α \cdot Δt \cdot \frac{D 2 - h 1}{\ln (\frac{D 2}{h 1})}}

Other formulas in Temperature Stresses and Strains category

Go Temperature Strain

ε = (\frac{D wheel - d tyre}{d tyre})

Go Thickness of Tapered Bar using Temperature Stress

t = \frac{σ}{E \cdot α \cdot Δt \cdot \frac{D 2 - h 1}{\ln (\frac{D 2}{h 1})}}

Go Change in Temperature using Temperature Stress for Tapering Rod

Δt = \frac{σ}{t \cdot E \cdot α \cdot \frac{D 2 - h 1}{\ln (\frac{D 2}{h 1})}}

Go Temperature Stress for Tapering Rod Section

W = t \cdot E \cdot α \cdot Δt \cdot \frac{D 2 - h 1}{\ln (\frac{D 2}{h 1})}

How to Evaluate Modulus of Elasticity using Hoop Stress due to Temperature Fall?

Modulus of Elasticity using Hoop Stress due to Temperature Fall evaluator uses Young's Modulus = (Hoop Stress SOM*Diameter of Tyre)/(Wheel Diameter-Diameter of Tyre) to evaluate the Young's Modulus, Modulus of Elasticity using Hoop Stress due to Temperature Fall formula is defined as ratio of stress to strain. Young's Modulus is denoted by E symbol.

How to evaluate Modulus of Elasticity using Hoop Stress due to Temperature Fall using this online evaluator? To use this online evaluator for Modulus of Elasticity using Hoop Stress due to Temperature Fall, enter Hoop Stress SOM (σ_h), Diameter of Tyre (d_tyre) & Wheel Diameter (D_wheel) and hit the calculate button.

FAQs on Modulus of Elasticity using Hoop Stress due to Temperature Fall

What is the formula to find Modulus of Elasticity using Hoop Stress due to Temperature Fall?

The formula of Modulus of Elasticity using Hoop Stress due to Temperature Fall is expressed as Young's Modulus = (Hoop Stress SOM*Diameter of Tyre)/(Wheel Diameter-Diameter of Tyre). Here is an example- 0.019942 = (15000000000*0.23)/(0.403-0.23).

How to calculate Modulus of Elasticity using Hoop Stress due to Temperature Fall?

With Hoop Stress SOM (σ_h), Diameter of Tyre (d_tyre) & Wheel Diameter (D_wheel) we can find Modulus of Elasticity using Hoop Stress due to Temperature Fall using the formula - Young's Modulus = (Hoop Stress SOM*Diameter of Tyre)/(Wheel Diameter-Diameter of Tyre).

What are the other ways to Calculate Young's Modulus?

Here are the different ways to Calculate Young's Modulus-

Young's Modulus=Thermal Stress/(Section Thickness*Coefficient of Linear Thermal Expansion*Change in Temperature*(Depth of Point 2-Depth of Point 1)/(ln(Depth of Point 2/Depth of Point 1)))

Can the Modulus of Elasticity using Hoop Stress due to Temperature Fall be negative?

Yes, the Modulus of Elasticity using Hoop Stress due to Temperature Fall, measured in Stress can be negative.

Which unit is used to measure Modulus of Elasticity using Hoop Stress due to Temperature Fall?

Modulus of Elasticity using Hoop Stress due to Temperature Fall is usually measured using the Megapascal[MPa] for Stress. Pascal[MPa], Newton per Square Meter[MPa], Newton per Square Millimeter[MPa] are the few other units in which Modulus of Elasticity using Hoop Stress due to Temperature Fall can be measured.

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Modulus of Elasticity using Hoop Stress due to Temperature Fall Formula

​GoModulus of Elasticity given Temperature Stress for Tapering Rod Section Formula

Modulus of Elasticity using Hoop Stress due to Temperature Fall Example

Modulus of Elasticity using Hoop Stress due to Temperature Fall Solution

Modulus of Elasticity using Hoop Stress due to Temperature Fall Formula Elements

Other Formulas to find Young's Modulus

Other formulas in Temperature Stresses and Strains category

How to Evaluate Modulus of Elasticity using Hoop Stress due to Temperature Fall?

FAQs on Modulus of Elasticity using Hoop Stress due to Temperature Fall

Variable Name

GoModulus of Elasticity given Temperature Stress for Tapering Rod Section Formula