=+– observe that the stiffness and mass matrices are those given in (4.154) and (4.161).

Problem 4.4 The impedance matrix for the Euler-Bernoulli beam of length  with uniform characteristics (EI, m) can be obtained from the application of the general formula (4.122)

establishing a reciprocity relationship between imposed displacements on the boundary and the associated surface tractions. The procedure is the same as described in Section 4.3.1 (page 248) to determine the impedance matrix for the bar in extension. Following the same path, develop the explicit expression of the stiffness and mass matrices K and M.