Question: Select the least weight W-shape beam that is simply supported over a 24-ft span and is Grade 50 steel. It has a uniformly distributed service

Select the least weight W-shape beam that is simply supported over a 24-ft span and is Grade 50 steel. It has a uniformly distributed service dead load of 1 kips/ft and a service live load of 2 kips/ft. In addition, it has one concentrated service live load of 15 kips located at a third-point of the span. Use LRFD. You can assume that the beam has continuous lateral support and is compact. Don't forget to account for self-weight

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