1610s, from Scottish and/or nautical variant of strope "loop or strap on a harness" (mid-14c.), probably from Old French estrop "strap," from Latin stroppus "strap, band," perhaps from Etruscan, ultimately from Greek strophos "twisted band," from strephein "to turn" (see strophe). Old English stropp, Dutch strop "halter" also are borrowed from Latin.
"to fasten or secure with a strap," 1711, from strap (n.). Slang adjective strapped "short of money" is from 1857, from strap (n.) in a now-obsolete sense of "financial credit" (1828). Related: Strapped; strapping.