1
general::
In need of, as in We're strapped for cash this week. Originating in the mid-1800s as simply strapped, meaning "in need of money," the term acquired for in the first half of the 1900s. Now the term is Also used for other needs, as in I can't give you any more firewood; I'm strapped for it myself.
American Heritage Idioms
2
general::
Phrase(s): *strapped for something
needing something, usually money. (*Typically: be ~; get ~.) • I am really strapped for cash. Can you lend me some? • Ted is strapped for money and cannot pay his bills.
McGrawhill's American Idioms And Phrasal Verbs