Hi, I`m going to scrap this one and start again. However, The materials I used for the boiler were copper, with a wall thickness of 0.067" and a length of 4 inches. The S value was 10. the allowable material stress of the copper tube was 25,000psi The operating pressure I prefer to use is 50psi. So Barlows formula gave me the working pressure of 83.75 lbs. So do you think the S value is too high and what value do you think S should be. The 21 fire tubes were of copper as well. As you mentioned Barlows formula down`t allow an annealed strength of copper either.
Yes a shame to scrap it after a lot of work, but the next build hopefully will turn out a better result.
Steamboy.
Hi Steamboy,
OK I am a little confused by your stated design values... If it is 4" long then what OD is the main barrel?... or did you actually mean to say Diameter rather than length?
You also mention an 'S' value of 10... this sounds like a misunderstanding of the requirement... where does the 10 come from? and how are you applying it?
The value 'S' in the formula should be the max allowable safe stress for the material... i.e the 25,000psi figure.
This being the tensile strength of Copper allowing for the annealed condition and elevated temperature.
However, you also need to allow for a safety factor... this is usually 8 for model boiler shells.
25,000 / 8 =
3125psi... So THIS is the value you should use for 'S' for copper boiler barrels.
Assuming you actually meant 4" outside diameter and with a wall thickness of 0.067" (1.7mm)
This would give you a maximum safe working pressure of 108psi... so 50psi would be well within safety limits.
The length of the barrel has no effect on the working pressure of the barrel.
If this is what you have then I cannot see why it would bulge at 40psi so something is clearly amiss with the build... I suspect the wall thickness may not be what you think it is.
The formulae for solid drawn tubes subject to internal pressure, which most regulations specify are : -
For wall thickness 'T' : -
T = P x OD / 2t... This can also be written as T = P x OD / 2S
And for maximum safe working pressure 'P' : -
P = 2T x t / ID... this can also be written as P = 2T x S / ID
Where P = Max safe working pressure.
T = Wall thickness of shell in inches.
OD and ID = Outside diameter and Inside diameter respectively.
t or S = The maximum allowable safe stress of the shell material in psi.
For Copper in an annealed state and with a safety factor of 8 this would be
3125psi.
The internal fire tubes would have no effect on the strength of the outer barrel so they can be taken out of the equation for now, however, they are subjected to External pressure which requires an entirely different set of formulae and Length does make a difference for these.
As stated... clearly something is amiss in either the material measurements or in your calculations so I order to track down where the problem is, or where things went wrong for you... can you provide a full list of dimensions and material actually used... a drawing of the boiler would be useful if you have one.
I would be happy to help you with your design if you need it.
Best regards.
Sandy.