ABSTRACT

This chapter details the modern methods of analysis of framed structures, that is, structures consisting of members which are long in comparison to their cross section. Typical framed structures are beams, grids, plane and space frames or trusses. The analysis of statically indeterminate structures generally requires the solution of linear simultaneous equations. The purpose of structural analysis is to determine the reactions at the supports and the internal forces the stress resultants at any section. In beams and plane frames in which all the forces on the structure lie in one plane, the resultant of stresses at any section has generally three components: an axial force, a shearing force, and a bending moment. To find the internal forces at any section of a cantilever, one can consider the forces situated between that section and the free end. The chapter discusses ways of checking the calculations involved in the determination of internal forces in beams and plane frames.