For what it's worth, you may not need a replacement piece at all. That piece should be able to slide over the bare cable, then insert the housing into the piece and the piece into the frame slot. Obviously I also don't know what to call the piece.
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I either don't get what you're saying or didn't explain the brake cable structure of the bike well enough. It looks like this:
brake lever---housed cable---transition to unhoused via cable stop---unhoused cable---transition to housed via another cable stop---brake itself, more transitions there but that doesn't matter here
At each transition between housed and unhoused, I need one of these pieces (or something similar), but since I lost one of them, I only have one.
But as the other replies all suggested full housing instead of bothering with this ferrule thing, I think I'll just try that.
I just missed the part of your post about the part being lost, sorry about that.
What bike is it? I agree it seems bananas to put the stopping force on the ferrule when normally it is on a brazed on metal cable stop.
It's possible that its just a shit design. Maybe you can at least get a metal replacement ferrule? Full housing is another option as long as the cable stop by the brake isn't the same design
It's a no-name bike from the 2000s, Wheeler Pro 39. Thanks for your input, I'll try full housing first as that seems the most straightforward.
Don't know what it's called but looking at it gave me the same gut feeling as yours. This looks like a weak point I wouldn't want to have on my brake line. I'd go full housing myself. I've been doing full housing for nearly a decade now and when your cable is decent, the increase in friction is negligible. Sometimes it might even have less friction compared to having some of the cable stops having the cable exiting at suboptimal angle. Go with a full housing and stop thinking about it.
Thank you, I'll do just that and see how I fare with full housing 👍
If you're buying new cables and you can afford it, grab some cables with compressionless housing. The difference they make in brake feel is really nice.