Answer Happy

Consider a thin-walled cylindrical tube having a radius of 65 mmthat is to be used to transport pressurized gas. If inside andoutside tube pressures are 100 and 1.0 atm (10.13 and 0.1013 MPa),respectively, compute the minimum required thickness for each ofthe following metal alloys. Assume a factor of safety of 3.5.
Alloy
Yield Strength,σyσy (MPa)
Density,ρρ (g/cm3)
Unit Mass Cost,c⎯⎯c¯ ($US/kg)
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
Magnesium
175
1.80
15.00
(a) Steel (plain)
Enter your answer for part (a) in accordance to the questionstatement mm
(b) Steel (alloy)
Enter your answer for part (b) in accordance to the questionstatement mm
(c) Cast iron
Enter your answer for part (c) in accordance to the questionstatement mm
(d) Aluminum
Enter your answer for part (d) in accordance to the questionstatement mm
(e) Magnesium
Enter your answer for part (e) in accordance to the questionstatement mm
(b) A tube constructed of which of the alloys will cost theleast amount?
Steel (plain)
Cast iron
Magnesium
Steel (alloy)
Aluminum