Modulus of Elasticity using Hoop Stress due to Temperature Fall 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%
✖The Diameter of Tyre is a little less than diameter of wheels.ⓘ Diameter of Tyre [d_tyre]			+10% -10%
✖Wheel Diameter is a little more than diameter of tyre.ⓘ Wheel Diameter [D_wheel]			+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 using Hoop Stress due to Temperature Fall [E]

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Modulus of Elasticity using Hoop Stress due to Temperature Fall

Formula

`"E" = ("σ"_{"h"}*"d"_{"tyre"})/("D"_{"wheel"}-"d"_{"tyre"})`

Example

`"19942.2MPa"=("15000MPa"*"0.230m")/("0.403m"-"0.230m")`

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Modulus of Elasticity using Hoop Stress due to Temperature Fall Solution

STEP 0: Pre-Calculation Summary

Formula Used

Young's Modulus = (Hoop Stress SOM*Diameter of Tyre)/(Wheel Diameter-Diameter of Tyre)
E = (σ_h*d_tyre)/(D_wheel-d_tyre)
This formula uses 4 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.
Diameter of Tyre - (Measured in Meter) - The Diameter of Tyre is a little less than diameter of wheels.
Wheel Diameter - (Measured in Meter) - Wheel Diameter is a little more than diameter of tyre.

STEP 1: Convert Input(s) to Base Unit

Hoop Stress SOM: 15000 Megapascal --> 15000000000 Pascal (Check conversion here)
Diameter of Tyre: 0.23 Meter --> 0.23 Meter No Conversion Required
Wheel Diameter: 0.403 Meter --> 0.403 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = (σ_h*d_tyre)/(D_wheel-d_tyre) --> (15000000000*0.23)/(0.403-0.23)

Evaluating ... ...

E = 19942196531.7919

STEP 3: Convert Result to Output's Unit

19942196531.7919 Pascal -->19942.1965317919 Megapascal (Check conversion here)

FINAL ANSWER

19942.1965317919 ≈ 19942.2 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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< 9 Temperature Stresses and Strains Calculators

Coefficient of Thermal Expansion given Temperature Stress for Tapering Rod Section

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

Modulus of Elasticity given Temperature Stress for Tapering Rod Section

Go 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)))

Change in Temperature using Temperature Stress for Tapering Rod

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

Thickness of Tapered Bar using Temperature Stress

Go Section Thickness = Thermal Stress/(Young's Modulus*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)))

Temperature Stress for Tapering Rod Section

Go Load Applied KN = Section Thickness*Young's Modulus*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))

Modulus of Elasticity using Hoop Stress due to Temperature Fall

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

Temperature Strain

Go Strain = ((Wheel Diameter-Diameter of Tyre)/Diameter of Tyre)

Diameter of Tyre given Temperature Strain

Go Diameter of Tyre = (Wheel Diameter/(Strain+1))

Diameter of Wheel given Temperature Strain

Go Wheel Diameter = Diameter of Tyre*(Strain+1)

Modulus of Elasticity using Hoop Stress due to Temperature Fall Formula

Young's Modulus = (Hoop Stress SOM*Diameter of Tyre)/(Wheel Diameter-Diameter of Tyre)
E = (σ_h*d_tyre)/(D_wheel-d_tyre)

What is Stress?

Stress is the ratio of applied force F to a cross-section area - defined as "force per unit area". The idea of stress could be used to describe the state of affairs at any point inside a solid in a much more general way. Also, stress could be used to predict when the material will break

What is Modulus of Elasticity?

The modulus of elasticity is simply the ratio between stress and strain.It is a measure of its stiffness

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

Modulus of Elasticity using Hoop Stress due to Temperature Fall calculator uses Young's Modulus = (Hoop Stress SOM*Diameter of Tyre)/(Wheel Diameter-Diameter of Tyre) to calculate 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 calculate Modulus of Elasticity using Hoop Stress due to Temperature Fall using this online calculator? To use this online calculator 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. Here is how the Modulus of Elasticity using Hoop Stress due to Temperature Fall calculation can be explained with given input values -> 0.019942 = (15000000000*0.23)/(0.403-0.23).

FAQ

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

Modulus of Elasticity using Hoop Stress due to Temperature Fall formula is defined as ratio of stress to strain and is represented as E = (σ_h*d_tyre)/(D_wheel-d_tyre) or Young's Modulus = (Hoop Stress SOM*Diameter of Tyre)/(Wheel Diameter-Diameter of Tyre). Hoop Stress SOM is the stress that occurs along the pipe's circumference when pressure is applied, The Diameter of Tyre is a little less than diameter of wheels & Wheel Diameter is a little more than diameter of tyre.

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

Modulus of Elasticity using Hoop Stress due to Temperature Fall formula is defined as ratio of stress to strain is calculated using Young's Modulus = (Hoop Stress SOM*Diameter of Tyre)/(Wheel Diameter-Diameter of Tyre). To calculate Modulus of Elasticity using Hoop Stress due to Temperature Fall, you need Hoop Stress SOM (σ_h), Diameter of Tyre (d_tyre) & Wheel Diameter (D_wheel). With our tool, you need to enter the respective value for Hoop Stress SOM, Diameter of Tyre & Wheel Diameter 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 Young's Modulus?

In this formula, Young's Modulus uses Hoop Stress SOM, Diameter of Tyre & Wheel Diameter. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)))

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