For the multiple-leaf spring described in Problem 12.5 (Fig. 12.17), derive the assembled stiffness and mass matrices. Consider only one-half of the spring for modeling using five beam elements of equal length.
Problem 12.5
A multiple-leaf spring used in automobiles is shown in Fig. 12.17. It consists of five leaves, each of thickness t = 0.25 in Consider only one-half of the spring for modeling using five beam elements of equal length and derive the stiffness and mass matrices of each of the five beam elements. The Young s modulus is 30 x 106 psi and the specific weight is 0.283 lb/in.3 for the material.
