Matrix Analysis of Semi-Rigid Connected Frames

by G. R. Monforton,
Tien Hsing Wu,

Serial Information: Journal of the Structural Division, 1963, Vol. 89, Issue 6, Pg. 13-24

Document Type: Journal Paper

Abstract: Frames with semi-rigid connections are investigated. Relationships between forces and displacements at the ends of a member with elastically restrained ends are derived. The force components, in terms of the end displacements, are arranged in matrix form. Stiffness matrices of a member with elastic restraint at the ends are presented, in the form of the stiffness matrices for members with rigid connections, modified by a correction matrix whose elements are functions of parameters, designated as fixity factors of the member. A formula for the force components at the ends of all the members of a frame is established. The matrix operations involved are conveniently performed by any digital computer, and problems ranging from rigid frames to pin-connected trusses can be solved by the same systematic approach. Several numerical examples are solved.

Subject Headings: Matrix (mathematics) | Rigid frames | Displacement (mechanics) | Elastic analysis | Stiffening | Connections (structural) | Parameters (statistics) | Plastic design |

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