(a) Consider a thin-walled cylindrical tube having a radius of 65 mm is to be used to transport pressurized gas. If inside and outside tube pressures are 100 and 2.0 atm (10.13 and 0.2026MPa), respectively, compute the minimum required thickness for each of the following metal alloys. Assume a factor of safety of 3.5.

(b) A tube constructed of which of the alloys will cost the least amount?

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Yield Strength, Oy Unit Mass Cost, T Alloy Density, p (g/cm3) (SUS/kg) (MPa) Steel (plain) 375 7.8 1.65 Steel (alloy) 1000 7.8 4.00 Cast iron 225 7.1 2.50 Aluminum 275 2.7 7.50 1.80 Magnesium 175 15.00