For the beam considered in Problem 12.8 (Fig. 12.20), derive the assembled stiffness and mass matrices of the system.
Problem 12.8
For the beam shown in Fig. 12.20, one end (point A) is fixed and a spring-mass system is attached to the other end (point B).
Assume the cross section of the beam to be circular with radius 2 cm and the material of the beam to be steel with Young s modulus of 207 GPa and weight density of Using two beam elements of equal length, derive the element stiffness and mass matrices of the two elements.
