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]

Moby Thesaurus II by Grady Ward, 1.0:

55 Moby Thesaurus words for "strapped":
   badly off, beat, beggared, bound, broke, busted, destitute,
   distressed, down to bedrock, embarrassed, feeling the pinch,
   fettered, flat, flat broke, fortuneless, hampered, handcuffed,
   hard up, ill off, impecunious, in Queer Street, in bonds,
   in chains, in irons, in narrow circumstances,
   in reduced circumstances, in straitened circumstances, ironbound,
   land-poor, manacled, narrow, on the edge, oofless, out of pocket,
   penurious, pinched, poor, poorly off, reduced, shackled, short,
   short of cash, short of funds, short of money, squeezed,
   stone-broke, stony, straitened, tethered, tied, tied down, tied up,
   trammeled, unmoneyed, unprosperous