(a) A beam as shown in Figure 1 is subjected to a point load of P kN at point B and a concentrated moment of M kNm at point E. Flexural rigidity for spans AC and CE are 2EI and EI, respectively. Point C is an internal hinge. Given E = 200 GPa and I = 150(10) mm and use the values of P and M in Table 1, calculate the maximum deflection of the beam. Use moment-area method and conjugate-beam method. (b) Without changing the support condition and the loading arrangement of the system, propose an optimum cross-section of the beam if the maximum deflection of the beam is reduced to half of the value obtained in part (a). 2EI 3 m PKN B 2EI 2 m 3 m 2 m E M kNm