Date of Award

Winter 1983

Project Type


Program or Major


Degree Name

Doctor of Philosophy


In structural analysis and design of trussed structures, the Singular Imbedding Method is applied and formulated to handle joint displacement, member force, and member stress constraints. There are two structural systems, namely, a Displacement Constraining System (DC) and a Force Constraining System (FC) that are developed for constraining joint displacements and member forces, respectively. The formulation of this method is based upon three sets of equations; equilibrium conditions, compatibility relationships, and Hooke's law of material.

The final structural stiffness matrix equations are constructed for the different types of constraints. The unknown member areas are determined from the final structural stiffness matrix equations. The analysis limitations are presented and classified for a design criterion. Example problems are presented to illustrate the application of this analysis.