How to Calculate and Solve for Thermal Stress with Quenching | Polymer Deformation
Last Updated on December 11, 2021
The image above represents thermal stress with quenching.
To compute for thermal stress with quenching, six essential parameters are needed and these parameters are Fraction of Specific Geometry (C), Biot Quenching Modulus (β), Elastic Modulus (E), Linear Coefficient of Thermal Expansion (α), Change in Temperature (ΔT) and Poisson’s Ratio (μ).
The formula for calculating thermal stress with quenching:
σ = CβEαΔT / 1 – μ
Where:
σ = Thermal Stress with Quenching
C = Fraction of Specific Geometry
b = Biot Quenching Modulus
E = Elastic Modulus
α = Linear Coefficient of Thermal Expansion
ΔT = Change in Temperature
μ = Poisson’s Ratio
Let’s solve an example;
Find the thermal stress with quenching when the fraction of specific geometry is 1, the biot quenching modulus is 2, the elastic modulus is 3, the linear coefficient of thermal expansion is 4, the change in temperature is 5 and the poisson’s ratio is 6.
This implies that;
C = Fraction of Specific Geometry = 1
b = Biot Quenching Modulus = 2
E = Elastic Modulus = 3
α = Linear Coefficient of Thermal Expansion = 4
ΔT = Change in Temperature = 5
μ = Poisson’s Ratio = 6
σ = CβEαΔT / 1 – μ
σ = (1)(2)(3)(4)(5) / 1 – 6
σ = 120 / -5
σ = -24
Therefore, the thermal stress with quenching is -24 Pa.
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the thermal stress with quenching.
To get the answer and workings of the thermal stress with quenching using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.
You can get this app via any of these means:
Web – https://www.nickzom.org/calculator-plus
To get access to the professional version via web, you need to register and subscribe to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator
Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
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Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Materials and Metallurgical under Engineering.
Now, Click on Polymer Deformation under Materials and Metallurgical
Now, Click on Thermal Stress with Quenching under Polymer Deformation
The screenshot below displays the page or activity to enter your values, to get the answer for the thermal stress with quenching according to the respective parameter which is the Fraction of Specific Geometry (C), Biot Quenching Modulus (β), Elastic Modulus (E), Linear Coefficient of Thermal Expansion (α), Change in Temperature (ΔT) and Poisson’s Ratio (μ).
Now, enter the values appropriately and accordingly for the parameters as required by the Fraction of Specific Geometry (C) is 1, Biot Quenching Modulus (β) is 2, Elastic Modulus (E) is 3, Linear Coefficient of Thermal Expansion (α) is 4, Change in Temperature (ΔT) is 5 and Poisson’s Ratio (μ) is 6.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the thermal stress with quenching and presents the formula, workings and steps too.
