In an attempt to improve disaster relief operations by increasing the load-carry

Question

In an attempt to improve disaster relief operations by increasing the load-carrying capacity of
helicopters, you founded a company that does commercial aerial refueling for rescue
helicopters (see Figure 5). As you realized, the key technology in such an endeavor is the
design of the fuel hose. Flight speed, turbulence, and hose materials all play a part in a
successful refueling operation. After extensive research, you made up the following
assumptions about the fuel hose design:

Cost is not a constraint (you are backed by big venture capital funds)
Maximum tensile load in the hose is 100,000N (not including safety factor)
Safety factor, N = 2, is adequate
Fuel hose should only deform elastically
Fuel hose length is 200,000 mm (or 200 m)
Outer diameter (OD) of fuel hose is 100 mm
Inner diameter (ID) of fuel hose is 80 mm

(a) What is the maximum load experienced by the hose, including the safety factor?
(b) If the maximum hose elongation during refueling operation is 100mm, which material(s) in
Table 2 would work? (Select all that works)
(c) In addition to criterion (b), if the maximum change in the fuel hose thickness is 1.6 x 10-3
mm, which of the material(s) you selected in part (b) would work? (Select all that works)
(d) On top of criteria (b) and (c), if the fuel hose has to have high modulus-to-density ratio,
which final material (pick only one) would you choose for this application?

Explanation / Answer

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