Which material will be cheaper if you want factor of safety

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A structural tension member of 10 ft. long with a square cross-section is subjected to a load of 120,000 lb. There is a choice between an aluminum alloy and structural steel, with the following information given for each.

Aluminum:

Unit weight (lb/ft^3) 165
ultimate strength (psi) 45,000
modulus of elasticity (psi) 10.5*10^6
cost per lb $0.45

Steel:

Unit weight (lb/ft^3) 490
ultimate strength (psi) 90,000
modulus of elasticity (psi) 30*10^6
cost per lb $0.21

A) Which material will be cheaper if you want a factor of safety of 5? (F.S = ultimate strength/applied stress).
B) Which material will result in the lightest member if you want to limit the elongation to 0.20 in.? Which material will be cheaper under these conditions?

Reference no: EM13319451

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