Abstract
This chapter describes and applies the matrix displacement method to various problems in structural analysis. Pin-jointed truss can be assumed to be a structure composed of line elements—called rods, which possess only axial stiffness. The joints connecting the rods together are assumed to be in the form of smooth, frictionless hinges. A structure such as pin-jointed truss consists of several rod elements. So, to demonstrate how to form the system or structural stiffness matrix, a structure composed of two in-line rod elements is required to be considered. The plane pin-jointed truss may be assumed composing of uniform section members, with the same material properties. If the truss is subjected to the load, there is a need to determine the forces in the members of the truss. The member forces will be obtained by resolving these displacements along the length of each rod element.
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