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?

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Which material will be cheaper if you want factor of safety : 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. |

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