flexibility method of structural analysis examples

The number of displacements involved equals the number of degrees of freedom of the structure. It obtains the solution of a structure by determining the displacements at its joints. The stiffness method is also known as the displacement or equilibrium method. There are two general approaches to the matrix analysis of structures: the stiffness matrix method and the flexibility matrix method. Highly indeterminate structures may be easily handled in this way and alternative loading conditions readily investigated. In addition, matrix concepts and techniques, because of their systematic character, form the basis of the computer analysis and design of structures 5,6,7,8. All types of structures, whether statically determinate or indeterminate, may be analyzed by matrix methods. The solution of the problem by matrix structural analysis techniques 1,2,3,4 then proceeds in an entirely systematic manner. It may be used to obtain a concise statement of a structural problem and to create a mathematical model of the structure.

Matrix algebra is a mathematical notation that simplifies the presentation and solution of simultaneous equations.

Alan Williams Ph.D., S.E., C.ENG., in Structural Analysis, 2009 10.1 Introduction

Flexibility method of structural analysis examples