ABSTRACT

Analysis of structures by the displacement method requires the solution of the equilibrium equations [S] {D} = {−F}. The solution must satisfy the displacement boundary conditions. In Chapter 23 we assumed that the displacements {D} and the forces {F} are in directions of global axes. In Section 23.10, we discussed a method in which the stiffness matrix [S] generated for a free, unsupported structure is adjusted, together with the vector {F} to satisfy the condition that the displacement at a coordinate equals zero or a prescribed value. In Section 24.2, we shall consider the case when the prescribed displacement is in a direction inclined to global axes; this may be so at a roller support.