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Harry's solution : yuck !
Once I got home, I took everything off and attacked the old rear brake calliper with a hand file. It took me almost an hour to get rid of enough metal (had to file off a lot more than just 1mm) and when I put the brake back, the tire was still rubbing the center of the arms, at a point where you simply cannot remove anything without damaging the brakes. So, was Harry right after all ? No, he was not ! I took the adjusted pivot nut and placed it between the frame and the brake and voilĂ ! The oblique pivot nut lifts the brake arms just a little bit upward, enough to let the tire run free underneath.
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Hardly but just enough space ....
Of course I had to take it for a spin after the modifications so I left for a 40 mile ride. I really was curious about the tires and it did not take long to feel the difference. The wider tires are way more comfortable ! Speed is the same, but comfortwise, it is a big improvement. They are staying on, that's for sure ! I only noticed that the rear brake has a little less power compared to before the switch, but I'm confident that I'm going to get that fixed to !
That's how I like it : beefy comfortable tires !