For a roof pitch less than 3:12, a solid membrane roof of some sort is needed. One long-term solution is a flat-lock soldered copper roof. This can be done using just a few hand tools (see list below), but the time required can be greatly reduced with the proper sheet metal equipment.
The basic component of this style roof is the roofing pan, which is a rectangle typically measuring 18 inches by 24 inches, though I have seen old roofs with pans smaller or larger than this. The largest that I remember were 24 inches by 30 inches. Multiple small pans are used, instead of fewer, larger ones, so that thermal expansion and contraction can be absorbed by each pan, instead of accumulating and concentrating in just a few areas, where it could tear the metal apart. If the roof area exceeds 30 feet in any direction, then an expansion joint is needed. I always have rolls of 18 inch 20 ounce cold rolled copper around for flashing purposes, so 18 inch by 24 inch stock is what I start with.
The pans will have 3/4 inch folds around the perimeter, 2 turned up, and 2 turned down, as shown below. Again, this could be less (1/2 inch) or more (1 inch), but I find 3/4 inches to be a nice width, in that there is some extra room for adjustment, when fitting them together without losing too much pan size. The corners have to be trimmed off first to allow the sides to be bent properly (Figure 2). At 3/4 inches, scribe two lines in one corner and draw a 45 degree line so that the intersection made by the two 3/4 inch lines is cut off, leaving a 3/16 inch wide corner. When the edges get folded, this will leave a 3/16 inch wide crack which is called a butt (I'll pretend I don't hear that giggling!) This can vary, but if too thin, the pans won't fit easily together, and if too wide, there will be a big hole that needs to be filled with solder.
So the pans are cut to size, and the corners are cut off. Now they can be "pre-tinned," which means applying a stripe of solder around the perimeter of the pans, on both sides. Because we are making 3/4 inch seams, the stripe will be twice that, or 1 1/2 inches. Though pre-tinning is widely recommended, it isn't required. It does reduce the chances of having voids in the solder joints after the pans are assembled and soldered, but an experienced mechanic can apply all of the solder at one time, and be confident that the joints are good. Pre-tinning is a form of "idiot proofing," which, when you are a beginner, is a good thing!
Now, the edges can be folded (2 up, 2 down), at about a 130 degree angle. Your pans are ready for the roof. The roof sheeting should be solid 1 inch boards, not plywood, and covered with 30 pound felt. Install rosin paper so that the copper doesn't come into contact with the felt. This will keep the felt from melting into the solder joints, and it provides a slippery surface as the copper expands and contracts.
Install the drip edge. Snap a chalk line 22 1/2 inches from the outside of the drip edge and begin installing the pans in the staggered pattern shown, using copper cleats measuring roughly 1 1/2 inches by 3 inches. Use the chalkline as a guide to keep everything straight, but don't worry if the pans aren't lining up perfectly. The cleats can be nailed with 1 or 2 nails (I've seen both recommended), and then folded over the nail. There can be two or three cleats on the long side.
The pans should ideally lay on the roof, so that water runs out of the joint, not into it. This isn't required however, since the joint will soon be filled with solder, and sometimes, certain details are more easily assembled and more easily soldered if the joint is "backwards."
Resist the temptation to assemble the pans as tightly as you can, because when the seams are pounded down flat, the pans will tighten against each other. Use a mallet to start the process of pounding down the seams and then a dead-blow hammer to pound them as flat as possible. The flatter they are, the easier to solder. Don't assemble too far ahead before doing this. Most roofs are going to have more details than just edge pieces and standard pans. For some detailed explanations and drawings of some of the possible pieces that might need to be constructed (including the expansion joint mentioned above), you can look at the Copper Development Association's website.
To prevent leaking, you should solder all of the seams that you assemble each day. It is not the purpose of this article to do a tutorial on soldering, but here are the basics. A heavy soldering iron should be used with a wedge shaped, or chisel tip. Stay Clean flux is the best that I have found for copper (thanks Chris Paulin!), although other suitable brands include Ruby Fluid and Johnson’s Flux. The solder should be 50/50 tin/lead solder in either 1 pound or 1/4 pound bars. Assuming the copper is relatively clean and bright, first brush or squirt on the liquid flux, hold the hot soldering iron on top of and against the seam, then add additional solder when the metal gets hot enough to melt it, until the joint is filled. You might have to add additional flux. Move the iron slowly in the direction that you are soldering, not quickly back and forth.
I've seen that others recommend a practice called "stitching" that involves going back over the soldered joint and walking the point of the iron across the seam about every 1/4 inch and adding more solder. It is usually explained that this will draw more solder into the joint. If this is drawing more solder into the joint, then you didn't do it correctly the first time. The only good reason to stitch a joint is for aesthetic reasons — if you like the look. Stitching adds a lot of time and doesn't improve the performance.
You should practice on some scrap pieces and cut them apart to see inside the joint. Do this until you have some confidence that everything is bonding well and there aren't any voids.
Do not use an open flame torch, whenever there is flammable material underneath the metal being soldered! This can start a fire. The whole purpose of the iron, is to give you greater control of the heat being applied, so that just enough heat to melt and draw the solder is used, and no more.
When the soldering is completed, the copper will be a mess from the whole process. To clean it up: brush down the whole roof with flux; then brush and rinse this off with soda water (1 pound of baking soda stirred into a 5 gallon bucket of water); now, rinse the whole thing off with water.