ABSTRACT

Applications of the force method and the displacement method have, in some cases, led to the classical procedures known as column analogy and moment distribution. Column analogy can be used in the analysis of a plane frame formed of one closed bent, and therefore statically indeterminate to a degree not higher than three. The column analogy will be used only to determine the stiffness matrix of nonprismatic straight bars and their bending moment, considering only bending deformations. The end-rotational stiffnesses, the carryover moment, and the stiffness matrix can be conveniently determined by the use of column analogy. It is to be noted that the method of column analogy considers bending deformations only. The moment distribution is used for the analysis of plane frames considering bending deformations only. Solution of simultaneous equations is avoided in structures not involving translation of the joints.