The Collaborative International Dictionary of English v.0.48:

Strap \Strap\, n. [OE. strope, AS. stropp, L. stroppus,
   struppus, perhaps fr. Gr. ? a band or cord, fr. ? to twist,
   to turn (cf. Strophe). Cf. Strop a strap, a piece of
   rope.]
   1. A long, narrow, pliable strip of leather, cloth, or the
      like; specifically, a strip of thick leather used in
      flogging.
      [1913 Webster]

            A lively cobbler that . . . had scarce passed a day
            without giving her [his wife] the discipline of the
            strap.                                --Addison.
      [1913 Webster]

   2. Something made of such a strip, or of a part of one, or a
      combination of two or more for a particular use; as, a
      boot strap, shawl strap, stirrup strap.
      [1913 Webster]

   3. A piece of leather, or strip of wood covered with a
      suitable material, for sharpening a razor; a strop.
      [1913 Webster]

   4. A narrow strip of anything, as of iron or brass.
      Specifically:
      [1913 Webster]
      (a) (Carp. & Mach.) A band, plate, or loop of metal for
          clasping and holding timbers or parts of a machine.
          [1913 Webster]
      (b) (Naut.) A piece of rope or metal passing around a
          block and used for fastening it to anything.
          [1913 Webster]

   5. (Bot.)
      (a) The flat part of the corolla in ligulate florets, as
          those of the white circle in the daisy.
      (b) The leaf, exclusive of its sheath, in some grasses.
          [1913 Webster]

   6. A shoulder strap. See under Shoulder.
      [1913 Webster]

   Strap bolt, a bolt of which one end is a flat bar of
      considerable length.

   Strap head (Mach.), a journal box, or pair of brasses,
      secured to the end of a connecting rod by a strap. See
      Illust. of Gib and key, under Gib.

   Strap hinge, a hinge with long flaps by which it is
      fastened, as to a door or wall.

   Strap rail (Railroads), a flat rail formerly used.
      [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Strap \Strap\, v. t. [imp. & p. p. Strapped; p. pr. & vb. n.
   Strapping.]
   1. To beat or chastise with a strap.
      [1913 Webster]

   2. To fasten or bind with a strap. --Cowper.
      [1913 Webster]

   3. To sharpen by rubbing on a strap, or strop; as, to strap a
      razor.
      [1913 Webster]

WordNet (r) 3.0 (2006):

strap
    n 1: an elongated leather strip (or a strip of similar material)
         for binding things together or holding something in
         position
    2: hanger consisting of a loop of leather suspended from the
       ceiling of a bus or train; passengers hold onto it
    3: a band that goes over the shoulder and supports a garment or
       bag [syn: strap, shoulder strap]
    4: whip consisting of a strip of leather used in flogging
    v 1: tie with a strap [ant: unstrap]
    2: beat severely with a whip or rod; "The teacher often flogged
       the students"; "The children were severely trounced" [syn:
       flog, welt, whip, lather, lash, slash, strap,
       trounce]
    3: sharpen with a strap; "strap a razor"
    4: secure (a sprained joint) with a strap

Moby Thesaurus II by Grady Ward, 1.0:

182 Moby Thesaurus words for "strap":
   Mystik tape, Scotch tape, aculeate, acuminate, adhesive tape,
   anchor, band, bandage, barb, baste, bastinado, bathe, batten, beat,
   belabor, belt, bend, bind, bind up, birch, blacksnake, brace,
   bridle, buffet, bullwhack, bullwhip, bundle, call, cane, care for,
   cat, cellophane tape, chain, cinch, cloth tape, club, cowhide,
   crop, cudgel, cure, cuspidate, cut, diagnose, do up, doctor, drub,
   edge, enchain, entrammel, fascia, fasten, fetter, file, fillet,
   flagellate, flagellum, flail, flog, flux, friction tape, fustigate,
   gird, girdle, girt, girth, give a whipping, give care to,
   give the stick, grind, gyve, hamper, handcuff, heal, hobble,
   hog-tie, hone, hopple, horsewhip, knout, kurbash, lace, lash, lath,
   lay on, leash, ligula, ligule, list, make fast, manacle,
   masking tape, massage, minister to, moor, nurse, oilstone,
   operate on, option, peg down, physic, picket, pin down, pinion,
   pistol-whip, plank, plaster, plastic tape, point, pommel, poultice,
   pummel, purge, put, put and call, put in irons, quirt, rawhide,
   razor strap, remedy, reset, restrain, ribband, ribbon, right, rope,
   rub, scourge, secure, set, shackle, sharpen, shred, sjambok, slat,
   slip, smite, spank, spiculate, spill, splice, spline, splint,
   spread, spur, stock option, straddle, straitjacket, strake, strip,
   stripe, strop, swaddle, swathe, swinge, switch, taenia, tape,
   tape measure, tapeline, taper, tether, thong, thrash, thump,
   ticker tape, tie, tie down, tie up, trammel, treat, trounce,
   truncheon, truss, wallop, whale, whet, whip, whiplash, whop, wire,
   wrap, wrap up