Diameter of Tyre given Temperature Strain Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of Tyre = (Wheel Diameter/(Strain+1))
dtyre = (Dwheel/(ε+1))
This formula uses 3 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.
Strain - Strain is simply the measure of how much an object is stretched or deformed.
STEP 1: Convert Input(s) to Base Unit
Wheel Diameter: 0.403 Meter --> 0.403 Meter No Conversion Required
Strain: 0.75 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
dtyre = (Dwheel/(ε+1)) --> (0.403/(0.75+1))
Evaluating ... ...
dtyre = 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)

Credits

Created by Rithik Agrawal
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)

Diameter of Tyre given Temperature Strain Formula

Diameter of Tyre = (Wheel Diameter/(Strain+1))
dtyre = (Dwheel/(ε+1))

What is Strain?

Strain is the response of a system to an applied stress. When a material is loaded with a force, it produces a stress, which then causes a material to deform. Engineering strain is defined as the amount of deformation in the direction of the applied force divided by the initial length of the material.

How to Calculate Diameter of Tyre given Temperature Strain?

Diameter of Tyre given Temperature Strain calculator uses Diameter of Tyre = (Wheel Diameter/(Strain+1)) to calculate the Diameter of Tyre, Diameter of Tyre given Temperature Strain formula is defined as width of tyre along longest chord. Diameter of Tyre is denoted by dtyre symbol.

How to calculate Diameter of Tyre given Temperature Strain using this online calculator? To use this online calculator for Diameter of Tyre given Temperature Strain, enter Wheel Diameter (Dwheel) & Strain (ε) and hit the calculate button. Here is how the Diameter of Tyre given Temperature Strain calculation can be explained with given input values -> 0.230286 = (0.403/(0.75+1)).

FAQ

What is Diameter of Tyre given Temperature Strain?
Diameter of Tyre given Temperature Strain formula is defined as width of tyre along longest chord and is represented as dtyre = (Dwheel/(ε+1)) or Diameter of Tyre = (Wheel Diameter/(Strain+1)). Wheel Diameter is a little more than diameter of tyre & Strain is simply the measure of how much an object is stretched or deformed.
How to calculate Diameter of Tyre given Temperature Strain?
Diameter of Tyre given Temperature Strain formula is defined as width of tyre along longest chord is calculated using Diameter of Tyre = (Wheel Diameter/(Strain+1)). To calculate Diameter of Tyre given Temperature Strain, you need Wheel Diameter (Dwheel) & Strain (ε). With our tool, you need to enter the respective value for Wheel Diameter & Strain 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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