Diameter of Tyre given Hoop Stress due to Temperature Fall Calculator

✖Wheel Diameter is a little more than diameter of tyre.ⓘ Wheel Diameter [D_wheel]			+10% -10%
✖Hoop Stress SOM is the stress that occurs along the pipe's circumference when pressure is applied.ⓘ Hoop Stress SOM [σ_h]			+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%

✖The Diameter of Tyre is a little less than diameter of wheels.ⓘ Diameter of Tyre given Hoop Stress due to Temperature Fall [d_tyre]

⎘ Copy

👎

Formula

✖

Diameter of Tyre given Hoop Stress due to Temperature Fall

Formula

`"d"_{"tyre"} = ("D"_{"wheel"})/(("σ"_{"h"}/"E")+1)`

Example

`"0.230286m"=("0.403m")/(("15000MPa"/"20000MPa")+1)`

Calculator

LaTeX

Reset

👍

Download Stress and Strain Formulas PDF

Diameter of Tyre given Hoop Stress due to Temperature Fall Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Tyre = (Wheel Diameter)/((Hoop Stress SOM/Young's Modulus)+1)
d_tyre = (D_wheel)/((σ_h/E)+1)
This formula uses 4 Variables

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Wheel Diameter: 0.403 Meter --> 0.403 Meter No Conversion Required
Hoop Stress SOM: 15000 Megapascal --> 15000000000 Pascal (Check conversion here)
Young's Modulus: 20000 Megapascal --> 20000000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_tyre = (D_wheel)/((σ_h/E)+1) --> (0.403)/((15000000000/20000000000)+1)

Evaluating ... ...

d_tyre = 0.230285714285714

STEP 3: Convert Result to Output's Unit

0.230285714285714 Meter --> No Conversion Required

FINAL ANSWER

0.230285714285714 ≈ 0.230286 Meter <-- Diameter of Tyre

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Strength of Materials » Stress and Strain » Hoop Stress due to Temperature Fall » Diameter of Tyre given Hoop Stress due to Temperature Fall

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has verified this Calculator and 900+ more calculators!

< 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 Tyre given Hoop Stress due to Temperature Fall Formula

Diameter of Tyre = (Wheel Diameter)/((Hoop Stress SOM/Young's Modulus)+1)
d_tyre = (D_wheel)/((σ_h/E)+1)

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 Tyre given Hoop Stress due to Temperature Fall?

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

How to calculate Diameter of Tyre given Hoop Stress due to Temperature Fall using this online calculator? To use this online calculator for Diameter of Tyre given Hoop Stress due to Temperature Fall, enter Wheel Diameter (D_wheel), Hoop Stress SOM (σ_h) & Young's Modulus (E) and hit the calculate button. Here is how the Diameter of Tyre given Hoop Stress due to Temperature Fall calculation can be explained with given input values -> 0.230286 = (0.403)/((15000000000/20000000000)+1).

FAQ

What is Diameter of Tyre given Hoop Stress due to Temperature Fall?

The Diameter of Tyre given Hoop Stress due to Temperature Fall formula is defined as the width of a tyre and is represented as d_tyre = (D_wheel)/((σ_h/E)+1) or Diameter of Tyre = (Wheel Diameter)/((Hoop Stress SOM/Young's Modulus)+1). Wheel Diameter is a little more than 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.

How to calculate Diameter of Tyre given Hoop Stress due to Temperature Fall?

The Diameter of Tyre given Hoop Stress due to Temperature Fall formula is defined as the width of a tyre is calculated using Diameter of Tyre = (Wheel Diameter)/((Hoop Stress SOM/Young's Modulus)+1). To calculate Diameter of Tyre given Hoop Stress due to Temperature Fall, you need Wheel Diameter (D_wheel), Hoop Stress SOM (σ_h) & Young's Modulus (E). With our tool, you need to enter the respective value for Wheel Diameter, Hoop Stress SOM & Young's Modulus and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search