1. Considering both shear and bending, determine the lightest W-shape to carry a uniform dead load of 4.0 kip/ft plus the self-weight and a uniform live load of 2.3 kip/ft on a simple span of 10.0 ft. Assume full lateral support and A992 steel. Design by (a) LRFD and (b) ASD.
2. A 24-ft simple span laterally supported beam is required to carry a total uniformly distributed service load of 8.0 k/ft. Determine the lightest, A992, W-shape to carry this load if it is broken down as follows: Use LRFD.
a. Live load= 1.0 k/ft; dead load= 7.0 k/ft
b. Live load = 3.0 k/ft; dead load = 5.0 k/ft
c. Live load = 5.0 k/ft; dead load = 3.0 k/ft
d. Live load= 7.0 k/ft; dead load= 1.0 k/ft.
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