Pressure vessels, wall thickness

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SUMMARY

The discussion centers on the calculation of wall thickness for a cylindrical pressure vessel designed to store 20 m³ of gas at 25 bar. Participants concluded that the vessel should be treated as a thick-walled cylinder, with a minimum wall thickness of 0.231 m derived from hoop stress calculations. The yield strength of the vessel material is 14,000 psi, and a factor of safety of 5 was applied. The calculations involved determining the inner radius and using the appropriate formulas for both thin and thick-walled cylinders.

PREREQUISITES
  • Understanding of hoop stress calculations in pressure vessels
  • Familiarity with thin and thick-walled cylinder equations
  • Knowledge of yield strength and factors of safety
  • Ability to convert units between psi and pascals
NEXT STEPS
  • Learn how to apply thick-walled cylinder equations for accurate wall thickness calculations
  • Study the derivation of hoop stress equations and their applications
  • Explore online calculators for pressure vessel design verification
  • Review material properties and their impact on pressure vessel design
USEFUL FOR

Mechanical engineers, pressure vessel designers, and students studying fluid mechanics or materials science will benefit from this discussion.

  • #31
0.74 was an error in my maths!
I had the assignment back and got the question right.
Persevere with the thick walled equations and you'll get there.
Use the examples in the workbook to guide you.
 
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  • #32
Rubear I found it to be thick walled and a minimum thickness off 231mm would this be correct??
 
  • #33
Yes but that's using the thin walled equation isn't it? You need to redo using the thick walled equation for greater accuracy I think.
 
  • #34
no not cracked it yet. I am stuck trying to apply thick walled equations...
 
  • #35
I got the thick walled equation to = 6.71
And the thin walled equation to =7.71...
 
  • #36
which equations are they Big Jock? do you mean thickness ratio?
 
  • #37
yeah thickness ratio equations got those answers and from everything else I have read on this question I believe all the answers are in this thread. I just re worked them all to confirm the answers I got and to make sure I was 100% correct with what I had come up with
 
  • #38
im totally confused. so far i have done the following...

calculate the radius r = √(20 / 2∏) = 1.784mcalculate the hoop stress σ = 96526602.1 / 5 = 19.3x106 (2800psi)

calculate wall thickness t = (1.784 x 362.6) / 2800 = 0.231mthickness ratio = 1.784 / 0.231 = 7.72im totally confused as to what i need to do next...
 
  • #39
Radius minus wall thickness = inside radius...
 
  • #40
ok so Ri = 1.553m and Ro= 1.784m

what am i looking to find out with these figures?
 
  • #41
Subtract outer radius from inner radius you get you wall thickness also put Ri and Ro into your wall thickness equations, see if that helps
 
  • #42
Big Jock said:
Subtract outer radius from inner radius you get you wall thickness also put Ri and Ro into your wall thickness equations, see if that helps

yes but that's just based on thin walled. Subtracting wall thickness from radius is based on the same figures as when taking ri from ro
 
  • #43
I had another look at this. Do I need to use thick wall equations with thin wall values, to get a more accurate value for Hoop Stress σh, and then use this new value of σh to re-calculate the wall thickness?
 
  • #44
so using known values in thick walled equations...

when r = ri = 1553mm

Axial Stress = 7.82MPa
Hoop Stress = 18.1MPa
Radial Stress = -2.5MPa


when r = ro = 1784mm

Axial Stress = 7.82MPa
Hoop Stress = 15.6MPa
Radial Strss = 0MPa





do i now need to recalculate wall thickness?
 
  • #45
can anyone help?
 
  • #46
oxon88 said:
I had another look at this. Do I need to use thick wall equations with thin wall values, to get a more accurate value for Hoop Stress σh, and then use this new value of σh to re-calculate the wall thickness?


Hi Oxon.

Long time ago I did this but, yes, calculate as per the textbook for approximation of wall thickness. Then take that value and repeat with appropriate equation for the approximated thickness to get true thickness.

Hope that helps?
 

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