Eleven sets of illustrations and the corresponding free-body diagrams of building-related...

Eleven sets of illustrations and the corresponding free-body diagrams of building-related beams are provided. These free-body diagrams constitute exercises that will be used here. Follow these instructions carefully to save time later:

(a) On engineering paper, neatly draw (with a straightedge) the free-body diagram for each of the 11 systems at an appropriate scale. Neatly draw one free-body diagram per sheet, using the top third of the individual sheet, leaving the bottom two-thirds of each sheet blank.

(b) Use additional sheets of engineering paper for the analysis. Solve for the unknown reactions, R1 and R2. Assume that each system is in static equilibrium, so the conditions of ∑M = 0 and ∑F = 0 may be used. Neglect the weight of the member under consideration.

Member AB is the beam under consideration. As shown in the illustration of the loading condition, member AB is a simple beam that serves as a reaction support for beams CD and EF. Beams CD and EF support a floor system. Beams CD and EF transfer parts of the floor load to beam AB at point C and point E. The loads transferred to beam AB are equivalent to the reactions of beam CD at point C and beam EF at point E. These end loads are applied to beam AB as 2000-lb and 4000-lb concentrated loads.