Consider a thick plate of aluminum alloy 2024-t851.
calculate the largest internal crack size (mm) that the plate can support when the applied stress is three-quarters of its yield strength. assume y = 1, kic = 26.4 mpa, and σys = 455 mpa. (you must provide an answer before moving on to the next part.)
the largest size of the internal crack is mm.

Lipman auto parts, a family-owned auto parts store, began january with $10,300.00 in cash. management forecasts that collections from credit customers will be $11,400.00 in january and $14,800.00 in february. the store is scheduled to receive $5,000.00 in cash on a business note receivable in january. projected cash payments include inventory purchases ($13,000.00 in january and $13,600.00 in february) and operating expenses ($2,700.00 each month). lipman auto parts' bank requires a $10,000.00 minimum balance in the store's checking account. at the end of any month when the account balance dips below $10,000.00, the bank automatically extends credit to the store in multiples of $1,000.00. lipman auto parts borrows as little as possible and pays back loans in quarterly installments of $2,000.00, plus 4 percent interest on the entire unpaid principal. the first payment occurs three months after the loan.