So is laziness. I've derived math formulas for repeated calculations (and later using computer programs), which save a lot of work in the long run, just a 30 second calculation the next time around.

Regarding that big bottle cage, just be aware of something not widely known: So let's say you double the weight carried by the cage (from quart to half-gallon). Now, if held by the same structural attachments, static stress is also doubled, and may be fine. But what is not widely known is, the fatigue strength will plummet, fatigue resistance is not linear. So that doubling may reduce fatigue strength by 30-50X or more. And a water bottle cage is definitely subjected to cyclic fatigue, up and down, and most particularly, left and right, over an attachment base that is usually just the width of the attachment bolts, which is narrow. (An example, there was a thread talking about brackets attaching to the 3 bolt pattern on the front of Bromptons, and many other folding bikes, and someone made the point that aftemarket brackets only attached at the bolts, but the genuine Brompton, had wings that press on each side at the head tube, a much wider base, way stiffer left-to-right, and I completely agreed, much stronger.)

Another problem I see, is things like water bottle cages and other things, attached with screw-hose-(band)-clamps. People look at where the band is solid and see strength, not realizing that by the slots where the screw works, the metal is just thin strips on each side, much weaker. And, a metal clamp attached to a frame tube or fork, can develop fretting wear there, causing a stress concentration (riser) and subsequent crack on your frame or fork (always expensive), thus should always use clamps with rubber padding on the inside, some come that way, or you can slip rubber tubing over the opened band, or use a piece of tire tube between the clamp and the frame.

"Missions are won or lost in the planning stages." - Neil Burnside, D-Ops, The Sandbaggers (UK television)