Lots of good info on armour and arrows in Williams' "The Knight and the Blast Furnace", and some more in Atkins' "The Science and Engineering of Cutting". The quick summary is that good body and head armour was arrow-proof. Good hardened armours were thinner for the same protection, but lower quality armours (thicker and heavier) should have been sufficient too.
This is looking at battle armours, not sporting (e.g., jousting) armours.
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