In this part of the pressure vessel sizing tutorial we will discuss the minimum required thickness and maximum allowed pressure calculation of the top and bottom hemispherical shell portion of the thin walled pressure vessel according to the ASME section 8 division 1 codes.
Necessary equations as per ASME section VIII division I codes
Minimum required thickness for hemispherical head and bottom portion of the pressure vessel (PV),
tr1 = [P*Ri1/(2*S*E -0.2*P)]+C ………………………………..Eq.1
Maximum Allowed pressure for hemispherical head and bottom,
Pm1= (2*S*E*nt)/(Ri1-0.4*nt)…………………………………Eq.2
Where,
P = Applied pressure inside the vessel
Ri1= Pressurevessel Inside radius after adjusting the corrosion allowance
S= Maximum allowable stress for the PV shell material
E=Efficiency of the welded joints of the shell
C=Corrosion allowance
nt=Actual thickness of the shell – corrosion allowance
The American Society of Mechanical Engineers (ASME) section eight division 1 codes suggests that the thin wall pressure vessel design is safe if:
1. Actual shell thickness at the hemispherical portions (t) >= tr1
2. P<=pm1
Example Problem: Let’s take the example discussed in Part-1 of this tutorial series.
We have the following input data:
P=0.000075 MPa (refer part-1)
Ri1=1349.98 mm (refer part-3)
S=103 MPa (refer part-1)
E=0.85 (assumed)
C=0.02 (assumed)
nt=5.98 (refer part-4)
From the Eq.1,
tr1=0.020578241mm
As, tr1 (0.02mm) is much lesser than the actual thickness (6mm) for this pressure vessel design , so the design is acceptable according to the ASME design codes.
From the Eq.2,
Pm1=0.777016417 MPa
As, Pm1 (0.77 MPa) is larger than P(0.000075 MPa) so the PV design is safe according to the Section 8 codes.
The ASME codes equations for the required minimum thickness and the maximum allowable internal pressure of the hemispherical area can be used for the thin walled pressures vessel sizing calculation.
Hi, I am Shibashis, a blogger by passion and an engineer by profession. I have written most of the articles for mechGuru.com. For more than a decades i am closely associated with the engineering design/manufacturing simulation technologies. I am a self taught code hobbyist, presently in love with Python (Open CV / ML / Data Science /AWS -3000+ lines, 400+ hrs. )
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Pipe Bending Machine
Fine information, many thanks to the author. It is puzzling to me now, but in general, the usefulness and importance is overwhelming. Very much thanks again and good luck!
Garage Tools
please provide the next details. Thanks
Working on the last two parts and will be available soon
Pls provide info. abt the last two parts
please provide next two part