Situational, though they can be strong. I typically use them in top lane to survive tough matchups or when I want to deny my opponent the opportunity to snowball. 60 Armor might not seem like a massive amount, but it will make frustrate many Riven, Renekton, and Rengar players since you are so hard to whittle down. Your damage might be a bit lower and cost you a kill sometimes, but you have a massive amount of early sustain and durability so that you can farm up safely for your core items.
I also typically use them on tanky supports such as Leona, Alistar, and Thresh. You don't really need much in the way of damage in runes to do your job and the extra armor helps you endure poke and minion damage when fighting early.
Could be used for some cheesy picks too. Back when Riven, Zed, Kha'zix, Rengar, and Wukong were popular top laner I would often take Taric into the top lane and get around 80 or 90 armor at level 1. They are good on Poppy against an physical damage champion for early fighting, especially when combined with her W passive at level 1.
Keep in mind that for everyone I suggested, you could easily use Flat Armor Quints and Scaling Armor seals for strong mid-game armor. The scaling match the flat seals at level 6 and most AD casters need level 3 to really fight effectively, so you don't really lose much by doing this.