For the structural beam loaded and supported as shown in Figure 2, (a) Draw a free body diagram and find the support reaction forces/moments. (b) Determine the shear force values at the supports and other relevant transition points. Using these, draw the Shear Force Diagram (SFD). (c) Determine the bending moment values at the supports and other relevant transition points and draw the bending moment diagram (BMD).

QUESTION 3 Given the beam shown in Figure Q3, calculate the reaction at point A, consider El to be constant. Wo Deformed Shape A B Figure Q3: Beam QUESTION 4 Determine the equivalent distributed load associated with the beam shown in Figure Q4. Determine the shear, moment, slope, and deflection equations, using the Macaulay functions and the singularity functions. 400N/m 20000NM 10m 5m 5m 2000N 2000N Figure Q4; Beam

For the cantilever beam shown in the figure below, invoke the equilibrium of cut free-body sections of the beam to (a) write equations for the shear force and bending moment distributions as functions of x. Include a free-body diagram of each cut section and force and moment balance calculations. Examine the shear force and bending moment formulas and deduce the sign of the deformation within each inter- val. Include a sketch of a deformed material element that illustrates the shear and bending deformation within the interval. (b) Find the shear force of the largest magnitude in the beam and state where it occurs within the beam. (c) Find the bending moment of the largest magnitude in the beam and state where it occurs within the beam. 200 N/m 0.6 m- X 600 N 0.2 m 0.2 m

Part (c)