The image above represents the radius of curvature. To calculate the radius of curvature, two essential parameters are needed, and these parameters are Half Minor Axis (b) and Half Major Axis (a).
The formula for calculating the radius of curvature:
ρ = b² / a
Where:
ρ = Radius of Curvature | Stress Concentration Factor
b = Half Minor Axis
a = Half Major Axis
Let’s solve an example;
Find the radius of curvature when the half minor axis is 42 and half major axis is 6.
This implies that;
b = Half Minor Axis = 42
a = Half Major Axis = 6
ρ = b² / a
That is, ρ = (42)² / 6
ρ = 1764 / 6
ρ = 294
Therefore, the radius of curvature is 294 m.
Calculating the Half Minor Axis when the Radius of Curvature and the Half Major Axis are Given
b = √ρ x a
Where:
b = Half Minor Axis
ρ = Radius of Curvature | Stress Concentration Factor
a = Half Major Axis
Let’s solve an example;
Find the half minor axis when the radius of curvature is 20 and the half major axis is 4.
This implies that;
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ρ = Radius of Curvature = 20
a = Half Major Axis = 4
b = √ρ x a
Then, b = √20 x 4
b = √80
b = 8.94
Therefore, the half minor axis is 8.94.
Read more: How to Calculate and Solve for Thermal Stress in Relation to Poisson’s Ratio | Polymer Deformation
Calculating the Half Major Axis when the Radius of Curvature and the Half Minor Axis are Given
a = b2 / ρ
Where:
a = Half Major Axis
ρ = Radius of Curvature | Stress Concentration Factor
b = Half Minor Axis
Let’s solve an example;
Find the half major axis when the radius of curvature is 12 and the half minor axis is 2.
This implies that;
ρ = Radius of Curvature = 12
b = Half Minor Axis = 2
a = b2 / ρ
So, a = 22 / 12
a = 4 / 12
a = 0.33
Therefore, the half major axis is 0.33.
Read more: How to Calculate and Solve for Thermal Stress with Quenching | Polymer Deformation
How to Calculate the Radius of Curvature | Stress Concentration Factor Using Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the radius of curvature.
To get the answer and workings of the radius of curvature 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
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator
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 Radius of Curvature under Polymer Deformation
The screenshot below displays the page or activity to enter your values, to get the answer for the radius of curvature according to the respective parameter which is the Half Minor Axis (b) and Half Major Axis (a).
Now, enter the values appropriately and accordingly for the parameters as required by the Half Minor Axis (b) is 42 and Half Major Axis (a) is 6.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the radius of curvature and presents the formula, workings and steps too.
