"Sags up" - what a contradiction in terms!
"Humping" - I'm just not going there...
"Bow": as in bow and arrow, and clearly intended to describe any deviation from a perfectly straight line; as near as I can tell, same as eccentricity.
"Frown" and "catback" - I've never heard of either of those before.
"Hog" is for sure used here in Canada, in two different contexts; one is that of a turbine shaft at rest undergoing unequal expansion due to its upper half being hotter than its lower half. The other is that of a ship carrying cargo in only its forward holds - you know, the ones in the 'bow' [rhymes with 'how' this time] of the ship - but the ship being otherwise empty; the centre buoyancy in concert with the couples of the weight of the cargo forward and that of the machinery aft tends to lift the vessel midships, causing the vessel to take the curve of a hog's back.
"Smile" is illustrative, but an entirely unfamilar term to me; I've always used 'sag' for this - again, both in the context of the catenary of a shaft and that of a ship "sagging" due to being supported only at its ends as bow and stern are lifted by waves while the centre section, well, sags.
CR
"As iron sharpens iron, so one person sharpens another." [Proverbs 27:17, NIV]