It's actually
pedantry... only one "n".
Yes, you can roll Strength to break thens. "Breaking bonds" is an example in the PHB, page 176, first column, second bullet point.
Well, ogres can try to do it. If you actually use the rules of AC/HP for objects, the chance of an Ogre doing it (in a single action) would be pretty low, around 0.85% or 1 in 117 attemps or so.
If you want to go the Strength check route, it still isn't great. I mean, again, it depends on the DC you want to give it. I'd go
at least DC 17 (using the AC value), which means the DM would have to roll 13+, or just 40% chance of success. Like I said, not great, but decent.
Perhaps you simply enjoy more violent entertainment than I do?
Yeah, I can agree I would love to have better rules for it, myself. FWIW, personally I have no issue with a fantasy fighter doing such things, but it would be around tier 3 for me (if you are talking about breaking through stone walls, etc.).
Well, it sort of does. I mean, Ogres do 2d8 with their Greatclub instead of 1d8 because it is a "Large" greatclub suitable for a Large creature. Likewise, a Huge Fire Giant does 6d6 with its "Huge" greatsword, not 2d6.
Otherwise, mentioning the desire for rules above, I would grant advantage to creatures based on size, etc. compared to the size of the object they are trying to break, etc. I know it isn't currently a rule, but it would be cool if it was IMO.
No, they do apply to PCs, but a PC would have to deal 27 points of damage to the stone wall to break through/destroy? it.
A high-enough level PC could deal that much damage on their turn, but it would probably be via multiple attacks, such as a Fighter with Extra Attack (2) and/or Action Surge, or a Monk via Flurry of Blows and Extra Attack maybe? Or perhaps a Paladin with a good Divine Smite?
Fighter 11th-level, STR 20, 2d6+5 (maul), 3 attacks via Extra Attack (2) at +9 vs. AC 17 has average damage 8.15 per attack, or 24.45 in the round, close(ish) to 27. It's nearly a 42% chance. Of course, if you Action Surge for another 3 attacks, it jumps up to over 91% (dealing an average of 48.9 dmg in the round).
Monk 11th-level, DEX 20, d8+5 unarmed damage, Flurry for 4 attacks at +9 vs. AC 17 has average damage 6.4 per attack, or 25.6 in the round, which is close to the 27 needed. It's roughly about 47% likely actually.
Of course, all this really just depends on the DM and the weapon. After all...
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For myself, breaking through a stone wall would require bludgeoning damage (i.e. the maul or unarmed strikes), piercing or slashing just wouldn't cut it.