The hole size in the brake shoe determines which rivet you need. The rivet heads and the pre-drilled holes in brake linings are standardized, and there are thousands of brake rivets at dirt cheap prices on Ebay, leftovers from closed down parts stores, etc. If you don't have a riveting machine, just clamp a flat tipped round punch in a vise with a little bit of the punch sticking up, and use that as an anvil while you buck the rivet with a piece of steel round stock and a big ball peen hammer.
If you get the lining material in a bulk roll and it's not pre-drilled, a step drill can be made by carefully grinding a regular drill bit to match the hole in the shoe and create a counterbore in the lining for the rivet head. Use the quill stop on a drill press to create a uniform-depth counterbore for each rivet. It's a lot easier with a dedicated relining machine, but a work-around isn't impossible.
Jerry
