Diameter of Wheel given Hoop Stress due to Temperature Fall Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wheel Diameter = (1+(Hoop Stress SOM/Young's Modulus))*Diameter of Tyre
Dwheel = (1+(σh/E))*dtyre
This formula uses 4 Variables
Variables Used
Wheel Diameter - (Measured in Meter) - Wheel Diameter is a little more than diameter of tyre.
Hoop Stress SOM - (Measured in Pascal) - Hoop Stress SOM is the stress that occurs along the pipe's circumference when pressure is applied.
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.
Diameter of Tyre - (Measured in Meter) - The Diameter of Tyre is a little less than diameter of wheels.
STEP 1: Convert Input(s) to Base Unit
Hoop Stress SOM: 15000 Megapascal --> 15000000000 Pascal (Check conversion here)
Young's Modulus: 20000 Megapascal --> 20000000000 Pascal (Check conversion here)
Diameter of Tyre: 0.23 Meter --> 0.23 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Dwheel = (1+(σh/E))*dtyre --> (1+(15000000000/20000000000))*0.23
Evaluating ... ...
Dwheel = 0.4025
STEP 3: Convert Result to Output's Unit
0.4025 Meter --> No Conversion Required
FINAL ANSWER
0.4025 Meter <-- Wheel Diameter
(Calculation completed in 00.004 seconds)

Credits

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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

Diameter of Wheel given Hoop Stress due to Temperature Fall Formula

Wheel Diameter = (1+(Hoop Stress SOM/Young's Modulus))*Diameter of Tyre
Dwheel = (1+(σh/E))*dtyre

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 meant by Hoop Stress?

The Hoop Stress, or tangential stress, is the stress around the circumference of the pipe due to a pressure gradient. The maximum hoop stress always occurs at the inner radius or the outer radius depending on the direction of the pressure gradient

How to Calculate Diameter of Wheel given Hoop Stress due to Temperature Fall?

Diameter of Wheel given Hoop Stress due to Temperature Fall calculator uses Wheel Diameter = (1+(Hoop Stress SOM/Young's Modulus))*Diameter of Tyre to calculate the Wheel Diameter, The Diameter of Wheel given Hoop Stress due to Temperature Fall formula is defined as the width of the wheel. Wheel Diameter is denoted by Dwheel symbol.

How to calculate Diameter of Wheel given Hoop Stress due to Temperature Fall using this online calculator? To use this online calculator for Diameter of Wheel given Hoop Stress due to Temperature Fall, enter Hoop Stress SOM h), Young's Modulus (E) & Diameter of Tyre (dtyre) and hit the calculate button. Here is how the Diameter of Wheel given Hoop Stress due to Temperature Fall calculation can be explained with given input values -> 0.4025 = (1+(15000000000/20000000000))*0.23.

FAQ

What is Diameter of Wheel given Hoop Stress due to Temperature Fall?
The Diameter of Wheel given Hoop Stress due to Temperature Fall formula is defined as the width of the wheel and is represented as Dwheel = (1+(σh/E))*dtyre or Wheel Diameter = (1+(Hoop Stress SOM/Young's Modulus))*Diameter of Tyre. Hoop Stress SOM is the stress that occurs along the pipe's circumference when pressure is applied, Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain & The Diameter of Tyre is a little less than diameter of wheels.
How to calculate Diameter of Wheel given Hoop Stress due to Temperature Fall?
The Diameter of Wheel given Hoop Stress due to Temperature Fall formula is defined as the width of the wheel is calculated using Wheel Diameter = (1+(Hoop Stress SOM/Young's Modulus))*Diameter of Tyre. To calculate Diameter of Wheel given Hoop Stress due to Temperature Fall, you need Hoop Stress SOM h), Young's Modulus (E) & Diameter of Tyre (dtyre). With our tool, you need to enter the respective value for Hoop Stress SOM, Young's Modulus & Diameter of Tyre 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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