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For the SDOF system, assume that the length of the beam is The mass denoted by is lumped in the middle point of the beam. The flexural rigidity of the beam is EI. Assume that the external excitation is applied on point B (a quarter of the beam), and the magnitude of the dynamic loading is equal to p(t)= posin (wt). Given that = 0.8, 48EI ml³ 3 please illustrate the maximum dynamic displacement of the lumped mass (only steady state response is required to be considered). (Hint: please list the EOM using flexibility method and then solve the displacement) L/4 Po sin ot B L/2 m A ΕΙ L/2 For the SDOF system, assume that the length of the beam is The mass denoted by is lumped in the middle point of the beam. The flexural rigidity of the beam is EI. Assume that the external excitation is applied on point B (a quarter of the beam), and the magnitude of the dynamic loading is equal to p(t)= posin (wt). Given that = 0.8, 48EI ml³ 3 please illustrate the maximum dynamic displacement of the lumped mass (only steady state response is required to be considered). (Hint: please list the EOM using flexibility method and then solve the displacement) L/4 Po sin ot B L/2 m A ΕΙ L/2

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