This thesis was developed to demonstrate the formulation and solution of the equations of structural analysis for the ease of coplanar structures which follow the linear law of elasticity with forces statically applied. The development places emphasis on the concept of the stiffness matrix as a means of gaining a solution to the problem. In Chapter I, the problem is first isolated and defined. This is followed. by the subsequent development of the stiffness matrix and the equations of structural analysis. The stiffness matrix is explored further in Chapter II and the elements of the matrix are determined for the case of a typical coplanar structural member which is subjected to a generalized system of forces. In Chapter III, a numerical example is solved by combining the stiffness matrix of Chapter II with the equations of structural analysis of Chapter I.