1. A beam with an overhang has an inverted T cross section and is subject to loads as shown on the figure below. 1800 lbf 300 lbf/in 3 in 1 in x 1 in 3 in a. 30 in- 10 in| Determine the reaction forces at the supports. Cross section (enlarged) b. Draw the shear force and bending moment diagram for the beam. c. Determine the neutral axis for the cross section. d. Determine the maximum tensile and compressive bending stresses and their locations. e. Determine the slope deflection of the beam, as functions of x using Superposition method. f. Plot the slope and deflection against the length of the beam. g. Determine the maximum deflection and its location along the beam.