Determine the reactions and draw the shear and bending moment diagrams for the beams shown in  Figure by using the slope-deflection method.

Q.2) (a) Calculate the support reactions of the loaded beam shown below. (b) Write equations for w(x), V(x) and M(x) of the beam using singularity functions. (c) Sketch the shear-force and bending moment diagrams for the beam for the beam using the Graphical method. Label the values of shear-force and bending-moment at all key points. 120N/m 300 N 300 N-m 200 N 100N/m Im B 4m C Im DIm E 4m 1m G 400 N¬m

Problem: Analyze the continuous beam shown in Figure by drawing the shear and bending moment diagram and sketch the elastic curve. 10 ft AB 1.2 k/ft 30 ft 60 k ↓ 20 ft 10 ft 40 k 15 ft 5 ft E

For the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) Let a=1.50 m, b=5.00 m, PA = 75kN, and PC = 90kN. Construct the shear-force and bending-moment diagrams. Calculate the reaction forces By and Dy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below.