shut up v.

Middle English shitten, sheten, "close (a door, window, gate, etc.); lock, fasten closed," from Old English scyttan "to put (a bolt) in place so as to fasten a door or gate, bolt, shut to; discharge, pay off," from West Germanic *skutjan (source also of Old Frisian schetta, Middle Dutch schutten "to shut, shut up, obstruct"), from PIE root *skeud- "to shoot, chase, throw." Related: Shutting.

The meaning "to close by folding or bringing together" is from mid-14c. That of "prevent ingress and egress" is from mid-14c. The sense of "to set (someone) free (from)," by c. 1500, is obsolete except in dialectal phrases such as get (or be) shut of (attested by 1570s). To shut (one's) mouth "desist from speaking" is recorded from mid-14c.

As a past-participle adjective, "made fast, closed, enclosed," by late 15c. As a noun, "action, time, or place of shutting," by 1660s.

Old English up, uppe, from Proto-Germanic *upp- "up" (source also of Old Frisian, Old Saxon up "up, upward," Old Norse upp; Danish, Dutch op; Old High German uf, German auf "up"; Gothic iup "up, upward," uf "on, upon, under;" Old High German oba, German ob "over, above, on, upon"), from PIE root *upo "under," also "up from under," hence also "over."

As a preposition, "to a higher place" from c. 1500; also "along, through" (1510s), "toward" (1590s). Often used elliptically for go up, come up, rise up, etc. Up the river "in jail" first recorded 1891, originally in reference to Sing Sing, which is up the Hudson from New York City. To drive someone up the wall (1951) is from the notion of the behavior of lunatics or caged animals. Insulting retort up yours (scil. ass) is attested by late 19c.