I came upon this thread when looking for information on adapting some 8” Triumph/BSA sliding brake shoes to fit my 1933 M.G. which, believe it or not, uses essentially the same design of brakes. As you can see, the installation has been successful although I’ve put very few miles on them so far so the jury is still out on how effective they are.
However, the amount of misinformation that has been posted on this thread has prompted me to post some of the FACTS that I have uncovered during the research I did before embarking on my brake adaptations. These are not my personal opinions and they can be confirmed by reading any brake theory textbook that covers fixed cam operated drum brakes. So here goes!
1. With fixed cam brakes both shoes are equally displaced by the cam (subject to the slight variation caused by where the cam makes contact with each shoe) and so must wear equally, and thus must do equal work. This is sometimes referred to as the equal work condition. The oft quoted claim that the leading shoe does 60-70% of the work is, quite simply, wrong. Once bedded in, both shoes do equal work.
2. The self-servo effect that is present on the leading shoe is not caused by the lining 'wedging' against the drum - it is caused by the moment about the pivot end of the shoe of the friction force of the lining against the drum which tries to increase the force with which the lining contacts the drum.
3. The length of a lining is generally in the range of an included angle of 90° to 110° with the Triumph (and I assume the BSA) shoes being 110° (the same as my M.G.). The length of the lining is not a factor in the amount of self servo generated.
4. On pivoted shoes the lining is equally displaced about the centre of the shoe as this is, more or less, where the centre of pressure lies. In the “off” position, with the cam flat, new linings should be concentric with the drum and with a radius slightly less than the drum. (On my M.G., 'slightly less' means 1/64” (15 thou) and I imagine the figure would be the same for Triumph/BSA shoes.) Because of this concentricity, pivoted linings make initial contact with the drum more or less in the centre of the lining and bed-in outwards from there.
5. On sliding shoes, the linings are displaced in the direction of rotation of the drum towards the trailing end of the shoe. This is because the centre of pressure on a sliding shoe is not in the middle, as it is on a pivoted shoes, but moves towards the trailing end. The higher the coefficient of the friction of the lining, the more the centre of pressure moves towards the trailing end. Hence the offset location of the linings. Because the shoes are not constrained by the pivot they are free to move slightly and thus self centre in the drum. Linings on sliding shoes, therefore, have the same radius as the drum and make contact more or less along their full length. In consequence, they need much less bedding-in than pivoted ones.
6. On the question of shortening the trailing lining, you won’t find a direct explanation of the benefits of this in the textbooks but it’s something I have discussed at some length with a university academic who teaches a course on brake theory. The logic of the modification is that by shortening the lining, for the same force applied to the shoe, there will be greater pressure on the lining (because of its smaller area) which will therefore wear more quickly and thus, because of the equal displacement of the fixed cam, the leading shoe lining will also wear more quickly and thus do more work, i.e. provide more braking power. The work done by the shortened trailing lining remains the same.