i transformed the speet Brakes to Balance beam working with the helpof a friend.he has a water cutting machine.and it is true that the Balance beam doubles the force on the brake arms.therefore i had to shorten the original speet arms to nearly the half length.without doing this the way of the handlebar Lever was to Long.but this modification works really good ,and the original parts are still in use.why because there is less force on the cables ,there is less Flexion on the parts.
Hi Erik, seems that you may have discovered a new physics solution that 'magically' increases force applied to a single cable. Just kidding.
The balance beam cannot increase force - it simply shares or spreads it. example = apply a 100 Lb pulling force on the brake cable at the hand lever end and that cable tries to apply 100 lb to the brake arm at the wheel but at the same time it also applies a downward force on one side of the balance beam which in turn puts a upward force on the second brake arm at the wheel - so the 100 Lb pull at the hand lever end is converted into two 50 Lb pulls at the brake arm at the wheel. Actually there is some friction losses in the balance arm pivot so it will never be exactly distributed. If you do away with the balance arm and replace it with a twin cable arrangement with a (I think its called) a waffle bridge at the hand lever - a bit like a mini balance beam - you will get exactly the same effect - a 100 Lb pull on the lever will put 50 bl on each cable.
With a mechanical brake it is only levers that can change the force and levers do that by modifying the amount of travel. Here is a long discourse on the topic
https://www.thoughtco.com/how-a-lever-works-2699400 . It is the brake cables that carry the force from one lever to another.
With our Vincent brakes there are at least 3 levers to take into calculation.
1. The lever created between the hand lever pivot point and the end of the brake cable.
2. The lever created by the brake arm at the wheel - the length of the lever being the distance from the hole for the brake cam and the end of the cable, then there is the 3rd -
3. the actual brake cam on the inside of the brake plate itself. If you make changes to ANY of these levers you will change two things - the force applied to the brake shoes and the travel range of the handbrake lever. Generally more handbrake lever travel = more force applied to the brake shoes and the reverse is also true ; Less handbrake lever travel means less force on the brake shoes.
I use a balance beam on my Comet with finned shadow drums, alloy backing plates and NOS FERODO MZ41 linings. With the stock setup my brakes were not all that good BUT I increase the length of the brake arms at the wheel end by 1" and now my brakes are much better - though it was at the (expected) cost of increased brake lever travel at the handlebar.
For the record I am not a physicist, my formal training is in Economics and Law however I am happy to attempt to address your questions and invite other readers of this topic to add their thoughts.
regards
Martyn