The beam shown below is a simple span with an overhang. The beam supports a uniform distributed load. 0.5 kip/ft 16 ft 5 ft 1. Draw a free body diagram (FBD) of the beam and write the equations of equilibrium to solve for the support reactions. You do not have to include the horizontal reaction at A. Answer: R₁=3.61 kip ↑, RB 6.89 kip ↑ 2. Draw an FBD of the beam showing the loads and the known magnitude and direction of the support reactions. 3. Draw the shear diagram for the beam. 4. Draw the bending moment diagram for the beam. 5. At what location along the beam does the maximum positive bending moment occur? 6. At what location along the beam does the maximum negative bending moment occur?

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Equilibrium and Support Reactions

Civil engineers deal with structures that are composed of several members connected or with individual members such as beams and columns. To analyze such structures, the condition of statics must be applied. Under the static condition, the members are considered to be in equilibrium under the action of forces, that is, the members are assumed to be having negligible velocity.