How to Calculate and Solve for Critical Wall Stress of Spherical Body | Fracture
Last Updated on June 4, 2024
The image of the critical wall stress of a spherical body is represented below. To calculate the critical wall stress of a spherical body, three essential parameters are needed: Wall Pressure (p), Radius of the Sphere (r), and Wall Thickness (t).
The formula for calculating critical wall stress of spherical body:
σy = pr/2t
Where:
σy = Critical Wall Stress of Spherical Body
p = Wall Pressure
r = Radius of Sphere
t = Wall Thickness
Let’s solve an example;
Find the critical wall stress of spherical body when the wall pressure is 17, the radius of sphere is 13 and the wall thickness is 5.
This implies that;
p = Wall Pressure = 17
r = Radius of Sphere = 13
t = Wall Thickness = 5
σy = pr/2t
That is, σy = (17)(13)/2(5)
σy = (221)/(10)
σy = 22.1
Therefore, the critical wall stress of spherical body is 22.1 Pa.
Calculating the Wall Pressure when the Critical Wall Stress of Spherical Body, the Radius of Sphere and the Wall Thickness are Given
p = σy x 2t / r
Where:
p = Wall Pressure
σy = Critical Wall Stress of Spherical Body
r = Radius of Sphere
t = Wall Thickness
Let’s solve an example;
Find the wall pressure when the critical wall stress of spherical body is 8, the radius of sphere is 4 and the wall thickness is 2.
This implies that;
σy = Critical Wall Stress of Spherical Body = 8
r = Radius of Sphere = 4
t = Wall Thickness = 2
p = σy x 2t / r
p = 8 x 2(2) / 4
That is, p = 8 x 4 / 4
p = 32 / 4
p = 8
Therefore, the wall pressure is 8.
Read more: How to Calculate and Solve for Stress Ratio | Fracture
Calculating the Radius of Sphere when the Critical Wall Stress of Spherical Body, the Wall Thickness are Given
r = σy x 2t / p
Where:
r = Radius of Sphere
σy = Critical Wall Stress of Spherical Body
p = Wall Pressure
t = Wall Thickness
Let’s solve an example;
Find the radius of sphere when the critical wall stress of spherical body is 10, the wall pressure is 6 and the wall thickness is 3.
This implies that;
σy = Critical Wall Stress of Spherical Body = 10
p = Wall Pressure = 6
t = Wall Thickness = 3
r = σy x 2t / p
r = 10 x 2(3) / 6
So, r = 10 x 6 / 6
r = 60 / 6
r = 10
Therefore, the radius of sphere is 10 m.
Calculating the Wall Thickness when the Critical Wall Stress of Spherical Body, the Wall Pressure and the Radius of Sphere are Given
t = pr / 2σy
Where:
t = Wall Thickness
σy = Critical Wall Stress of Spherical Body
p = Wall Pressure
r = Radius of Sphere
Let’s solve an example;
Given that the critical wall stress of spherical body is 6, the wall pressure is 14 and the radius of sphere is 2.
This implies that;
σy = Critical Wall Stress of Spherical Body = 6
p = Wall Pressure = 14
r = Radius of Sphere = 2
t = pr / 2σy
So, t = 14(2) / 2(6)
t = 28 / 12
t = 2.3
Therefore, the wall thickness is 2.3 m.
How to Calculate Critical Wall Stress of Spherical Body Using Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the critical wall stress of spherical body.
To get the answer and workings of the critical wall stress of spherical body 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 Fracture under Materials and Metallurgical
Now, Click on Critical Wall Stress of Spherical Body under Fracture
The screenshot below displays the page or activity to enter your values, to get the answer for the critical wall stress of spherical body according to the respective parameter which is the Wall Pressure (p), Radius of Sphere (r) and Wall Thickness (t).
Now, enter the values appropriately and accordingly for the parameters as required by the Wall Pressure (p) is 17, Radius of Sphere (r) is 13 and Wall Thickness (t) is 5.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the critical wall stress of spherical body and presents the formula, workings and steps too.
