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Warm up of the specific area to be exercised by bike riding..are you kidding me? This is the kind of bad advice that floats around the net. There has also to be something more specific to the area being exercised-anyone who doesn't mention this has essentially been lucky so far and doesn't get it. 2-3 sets going from fairly light to moderate, doing slow windmills with the arms in each direction, between each set. Suggesting bike riding or no warmup is classic LAME internet advice that is good for getting someone nicely injured!
Can your muscles strength outgrow that of your joints that fast?
Yes, this is what's happening IMO. Since it's now happened to both shoulders you know that's it's systemic, not related to problems with any particular shoulder; a warning. Shoulder probs from bench are almost an automatic for many when going heavy with low reps. Low reps are absolutely unnecessary for development, are mainly ego. Keeping the reps in the 10-15 range, definitely no lower than 8; progress using moderate reps will translate into higher singles, without having to actually do them. Can always max. out going heavier every 3-6 months to gauge progress but don't make it a regular thing.
-It could be flys but i doubt it. BB bench is the no. 1 cause. Good idea taking time off; when back keep the reps higher. If that doesn't work, go instead with DB presses, flys, etc.-BB benches aren't essential IF the shoulder probs continue.
-"Alexxx" who from pics looks more like a swimmer, as always quick to jump in to offer his "years of experience".