Repeat Problem 1, but design the beam using any material and shape of your choosing to achieve a safe beam that is lighter than any of the results from Problems 1 through 5.
Problem 1
A 60 in long beam simply supported at its ends is to carry two 4800 lb loads, each placed 14 in from an end. Specify the lightest suitable steel tube for the beam, either square or rectangular, to produce a design factor of 4 based on yield strength. The tube is to be cold formed from ASTM A500, grade B steel.
Problem 2
Repeat Problem 1, but specify the lightest standard aluminum I-beam from Appendix. The beam will be extruded using alloy 6061-T6.
Problem 3
Repeat Problem 1, but specify the lightest wide-flange steel shape from Appendix. The beam will be made from ASTM A992 structural steel.
Problem 4
Repeat Problem 1, but specify the lightest structural steel channel from Appendix. The channel is to be installed with the legs down so that the loads can be applied to the flat back of the web of the channel. The channel will be made from ASTM A36 structural steel.
Problem 5
Repeat Problem, but specify the lightest standard schedule 40 steel pipe from Appendix. The pipe is to be made from ASTM A501 hot-formed steel.
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