Simplified Formulation of Stiffness Matrices

by Peter M. Wright,

Serial Information: Journal of the Structural Division, 1963, Vol. 89, Issue 2, Pg. 33-48

Document Type: Journal Paper

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Abstract: A simple method is presented for establishing the stiffness matrix for a rigidly jointed structure in the elastic range in which only deformations caused by bending moments are included. The standard force-displacement relationship can be used to establish the usual slope-deflection equations for a structure. Matrixes are used to solve these simultaneous equations. An example is presented that shows the use of the standard force-displacement relationships in arranging the reduced stiffness matrix for a structure. The reduced stiffness matrix can be used to determine the final displacements for all structures having the same proportions.

Subject Headings: Matrix (mathematics) | Stiffening | Displacement (mechanics) | Elastic analysis | Deformation (mechanics) | Bending (structural) | Moment (mechanics) | Slopes

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