Strap
late 16th century (denoting a trap for birds, also a piece of timber fastening two objects together): dialect form of strop1.
wiktionary
From a variant of earlier strope(“loop on a harness”), from Middle English strope, stropp, from Late Old English strop, stropp(“a band, thong, strap; oar-thong”) and Old French estrope(“strap, loop on a harness”), both from Latin stroppus, struppus(“strap”), from Ancient Greek στρόφος(stróphos, “rope”), from στρέφω(stréphō, “to twist”). Cognate with Scots strap, strop(“strap, band, thong”), Dutch strop(“noose, strop, loop”), Low German Strop(“strap”), German Struppe, Strüppe, Strippe(“string, cord”), Danish strop(“strap”), Swedish stropp(“strap, loop”).
etymonline
strap (n.)
1610s, "band of leather," 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 via Etruscan, ultimately from Greek strophos "twisted band; a cord, rope," from strephein "to turn" (from PIE root *streb(h)- "to wind, turn"). Old English stropp, Dutch strop "halter" also are borrowed from Latin, and the Old English word might be the source of the modern one. Slang meaning "credit" is from 1828.
strap (v.)
"to fasten or secure with a strap," 1711, from strap (n.). Slang adjective strapped "short of money" is from 1857, from strap (n.) in the old sense of "financial credit" (1828). Meaning "to beat with a strap" is from 1735. Related: Strapped; strapping.