How to Calculate and Solve for Vessel Pressure without Yielding | Fracture

Below is the image of vessel pressure without yielding. Four essential parameters are needed to calculate vessel pressure without yielding: Fracture Toughness (KIC), Applied Load Constant (Y), Radius (r), and Critical Wall Stress (σy).

The formula for calculating vessel pressure without yielding:

P = 2/y²πr(KIC²/σy)

Where:

Y = Applied Load Constant
r = Radius
KIC = Fracture Toughness
σy = Critical Wall Stress

Given an example;
Find the vessel pressure without yielding when the applied load constant is 9, the radius is 3, the fracture toughness is 4 and the critical wall stress is 2.

This implies that;

Y = Applied Load Constant = 9
r = Radius = 3
KIC = Fracture Toughness = 4
σy = Critical Wall Stress = 2

P = 2/y²πr(KIC²/σy)
That is, P = 2/(9)²π(3)((4)²/(2))
P = 2/(81)π(3)((16)/(2))
P = 2/(763.407)(8)
So, P = (0.0026)(8)
P = 0.0209

Therefore, the vessel pressure without yeilding is 0.0209 atm.

How to Calculate the Vessel Pressure without Yielding With Nickzom Calculator

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the vessel pressure without yielding.

To get the answer and workings of the vessel pressure without yeilding 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

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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 Fracture under Materials and Metallurgical

Now, Click on Vessel Pressure without Yielding under Fracture

The screenshot below displays the page or activity to enter your values, to get the answer for the vessel pressure without yielding according to the respective parameter which is the Fracture Toughness (KIC), Applied Load Constant (Y), Radius (r) and Critical Wall Stress (σy).

Now, enter the values appropriately and accordingly for the parameters as required by the Fracture Toughness (KIC) is 4, Applied Load Constant (Y) is 9, Radius (r) is 3 and Critical Wall Stress (σy) is 2.

How to Calculate and Solve for Vessel Pressure without Yielding | Fracture

Finally, Click on Calculate

How to Calculate and Solve for Vessel Pressure without Yielding | Fracture
How to Calculate and Solve for Vessel Pressure without Yielding | Fracture

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the fracture toughness and presents the formula, workings and steps too.

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