Here's another unrealistic system … Sorry for the snark.Heres a simple system I saw somewhere
A PC can carry half their Str in Stones (round up) so Str 18 = 9 stones
• Light, Medium and Heavy armor weighs 1, 2 and 3 stones respectively.
• Most weapons weigh 1 stone unless they have the Heavy property (2-handed weapons, large bows), then they weigh 2 stones.
• Medium-sized, important items weigh 1 stone. (50ft of rope, a loaded backpack, a spellbook)
• Heavy or bulky items weigh 2 stones (carrying a chest, a rolled up tapestry slung over the shoulder).
• Small items and weapons (daggers, knives, slings) are not tracked and PCs can assume they have them within reason (and GM’s discretion).
Warrior (16 Str) with heavy plate (3), shield (1) a long sword (1) and a backpack is at 6 out of 8 stones.
A Wizard (8 Str) with a quarterstaff, spellbook and loaded backpack is at 3 out 4 stones.
A Cleric (14 Str) with scale mail(2), shield, mace, heavy crossbow(2), a loaded backpack and carrying a bag of gold is at 8 out of 7 stones and encumbered.
When Encumbered make a DC 10 Con check, fail gains a level of exhaustion
Most so called heavy weapons do weigh far less than you might believe and many so called light weapons are heavier than you think.
e.g. a great sword is 5 to 7 pounds
a long sword (bastard sword/hand and half) is about 3 pounds and lo and behold
a rapier also is about that weight and has equal bladelength.
The different edge geometries of those two lead to similar volumes of metal, plus the rapiers basket weighs more than a typical crossbar of a longsword.
A battle axe is far lighter than an axe made to chop wood even if they have roughly the same shape, because a battle axe has a far thinner blade.
A chainshirt is about 40 pounds a plate armor about 50. so your 3/2/1 relation is nowhere near anything realistic.