WARNING!!! THE CALCULATIONS AND VALUES POSTED IN THIS ARTICLE ARE NOT TO BE USED AS A GUIDE IN BUILDING A STEAM BOILER!!! The specifications in this article are only to be used as a reference to this article and do not translate to any other boiler project. I must insist that anyone that wishes to build a boiler do their own research and use a properly written textbook like the Harris Book to design a safe boiler. And now for the meat and potatoes of the process!!! To properly engineer the size and spacing of the rivets I must first know what forces will be applied to the end plates. This force value must then be used in a formula to calculate the size rivets needed to withstand 8 times that force. This will ensure that I will be operating the boiler within a reasonable safety margin allowing for any abnormal operating conditions. Earlier I had mentioned that I plan to build this boiler for 80 PSI working pressure. However it would be advantageous to build the boiler to operate at 100 PSI to allow for pressure spikes during operation of the steam plant. This will prevent my safety valves from blowing off every time I break 80 PSI while my engine is running!!! Since I know that my end plates are 5.845” in OD (2.923” Radius) I can calculate the square inch area of the plates as follows ( pi X R²):
3.14 X 2.923² = 26.819 sq in
I can now multiply my working pressure of 100 PSI with the surface area of an end plate:
100 X 26.819 = 2681.9 pounds of force @ normal working pressure
In this application I will have a reduced end force on the plates as they are occupied mostly with the boiler tubes. In fact the boiler tubes will reduce the surface area of the end plates by 35%. Since the boiler tubes will double as boiler “stays” they will take up a majority of the end force applied to the end plates which will ultimately reduce the need for rivets. However I want to calculate my end force as if the boiler tubes have no tensile strength to be cautious. My boiler tubes (0.625” OD) will have a cross sectional area of about 0.307 sq in per tube for a total of 9.517 sq in (31 tubes). This value can be subtracted from the end plate area (26.819 sq in) which will equal about 17.302 sq in total end plate area. So now I can recalculate my end force as:
100 X 17.302 = 1,730.2 pounds of force @ normal working pressure
This will be the value that I will calculate as my end plate force and thus I will need to figure on a combined shear force of 1,730.2 pounds on the end plate rivets. According to the Harris book, copper has a shear rating of about 21,000 PSI which will be derated to a safety factor of 8. So I can divide 21,000 by 8 which in is equal to 2,625 PSI shear strength. Knowing this I can figure out how much rivet material will be needed to secure the end plates:
1,730.2 ÷ 2,625 = 0.659 sq in cross section area of combined rivets
I plan to use 3/16” copper rivets (0.1875” Dia.) to join the boiler shell to the end plates which will have a cross sectional area of about 0.0276” per rivet. Knowing this I can divide the total cross section value of the rivets by each rivet which will give me the total number of rivets needed:
0.659 ÷ 0.0276 = 23.89 (24) rivets total per end plate
For this boiler I am going to increase my safety factor to about 10 for an extra safety margin as this is my first boiler (0.824 ÷ 0.0276 = 29.86). So instead of 24 rivets I will use 32 rivets which will be equally spaced on each end of the boiler shell (32 in lieu of 30 as it will space out more evenly). I will feel much more conformable with overkill rather than worrying about some factor that I did not take into account. To space out the rivets I will need to find the circumference of the boiler shell and then divide it by the number of rivets. In this case my shell is 6.125” OD which is equal to 19.2325” in circumference (pi X D).
19.2325 ÷ 32 = 0.601” rivet pitch spacing
To lay out the rivet holes in the boiler shell I used my piece of vinyl sheeting which was marked out with graduated marks in 0.601” increments. It took several tries to evenly space out the holes but once the layout was even I was able to scribe the shell for drilling centers (seen below).
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