Hoop Stress due to Temperature Fall Calculator

✖Wheel Diameter is a little more than diameter of tyre.ⓘ Wheel Diameter [D_wheel]			+10% -10%
✖The Diameter of Tyre is a little less than diameter of wheels.ⓘ Diameter of Tyre [d_tyre]			+10% -10%
✖Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.ⓘ Young's Modulus [E]			+10% -10%

✖Hoop Stress SOM is the stress that occurs along the pipe's circumference when pressure is applied.ⓘ Hoop Stress due to Temperature Fall [σ_h]

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Hoop Stress due to Temperature Fall Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hoop Stress SOM = ((Wheel Diameter-Diameter of Tyre)/Diameter of Tyre)*Young's Modulus
σ_h = ((D_wheel-d_tyre)/d_tyre)*E
This formula uses 4 Variables

Variables Used

Hoop Stress SOM - (Measured in Pascal) - Hoop Stress SOM is the stress that occurs along the pipe's circumference when pressure is applied.
Wheel Diameter - (Measured in Meter) - Wheel Diameter is a little more than diameter of tyre.
Diameter of Tyre - (Measured in Meter) - The Diameter of Tyre is a little less than diameter of wheels.
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.

STEP 1: Convert Input(s) to Base Unit

Wheel Diameter: 0.403 Meter --> 0.403 Meter No Conversion Required
Diameter of Tyre: 0.23 Meter --> 0.23 Meter No Conversion Required
Young's Modulus: 20000 Megapascal --> 20000000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_h = ((D_wheel-d_tyre)/d_tyre)*E --> ((0.403-0.23)/0.23)*20000000000

Evaluating ... ...

σ_h = 15043478260.8696

STEP 3: Convert Result to Output's Unit

15043478260.8696 Pascal -->15043.4782608696 Megapascal (Check conversion here)

FINAL ANSWER

15043.4782608696 ≈ 15043.48 Megapascal <-- Hoop Stress SOM

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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National Institute of Technology (NIT), Warangal

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< Hoop Stress due to Temperature Fall Calculators

Hoop Stress due to Temperature Fall

LaTeX 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

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

Diameter of Wheel given Hoop Stress due to Temperature Fall

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

Hoop Stress due to Temperature Fall given Strain

LaTeX Go Hoop Stress SOM = Strain*Young's Modulus

Hoop Stress due to Temperature Fall Formula

LaTeX Go

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

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 Hoop Stress due to Temperature Fall?

Hoop Stress due to Temperature Fall calculator uses Hoop Stress SOM = ((Wheel Diameter-Diameter of Tyre)/Diameter of Tyre)*Young's Modulus to calculate the Hoop Stress SOM, The Hoop Stress due to Temperature Fall formula is defined as mechanical stress defined for rotationally symmetric objects such as pipe or tubing. Hoop Stress SOM is denoted by σ_h symbol.

How to calculate Hoop Stress due to Temperature Fall using this online calculator? To use this online calculator for Hoop Stress due to Temperature Fall, enter Wheel Diameter (D_wheel), Diameter of Tyre (d_tyre) & Young's Modulus (E) and hit the calculate button. Here is how the Hoop Stress due to Temperature Fall calculation can be explained with given input values -> 0.015043 = ((0.403-0.23)/0.23)*20000000000.

FAQ

What is Hoop Stress due to Temperature Fall?

The Hoop Stress due to Temperature Fall formula is defined as mechanical stress defined for rotationally symmetric objects such as pipe or tubing and is represented as σ_h = ((D_wheel-d_tyre)/d_tyre)*E or Hoop Stress SOM = ((Wheel Diameter-Diameter of Tyre)/Diameter of Tyre)*Young's Modulus. Wheel Diameter is a little more than diameter of tyre, The Diameter of Tyre is a little less than diameter of wheels & Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

How to calculate Hoop Stress due to Temperature Fall?

The Hoop Stress due to Temperature Fall formula is defined as mechanical stress defined for rotationally symmetric objects such as pipe or tubing is calculated using Hoop Stress SOM = ((Wheel Diameter-Diameter of Tyre)/Diameter of Tyre)*Young's Modulus. To calculate Hoop Stress due to Temperature Fall, you need Wheel Diameter (D_wheel), Diameter of Tyre (d_tyre) & Young's Modulus (E). With our tool, you need to enter the respective value for Wheel Diameter, Diameter of Tyre & Young's Modulus 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 Hoop Stress SOM?

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

Hoop Stress SOM = Strain*Young's Modulus

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