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NEW ELEMENTS FOR ANALYSIS OF SPACE FRAMES WITH TAPERED MEMBERS
Abstract
The closed forms of the linear stiffness matrix, geometric stiffness matrix, displacement functions and equivalent nodal loads are developed for analyses of space structures containing linearly tapered members with cross sections of thin-walled tubes, solid rectangles and I-sections. The series expansion forms of these are also developed because they avoid numerical failure in structural analyses under extremely small taper. The cross sectional properties are closely approximated by the ordering process if the geometric properties along the member do not follow a simple power law. Then, solutions are obtained by direct integration of the differential equations for displacements and the moment area theorem. The elements presented in this dissertation can be used for the linear stability and the large deflection analysis of tapered and prismatic members.
Subject Area
Civil engineering
Recommended Citation
LEE, YONG-WOO, "NEW ELEMENTS FOR ANALYSIS OF SPACE FRAMES WITH TAPERED MEMBERS" (1983). ETD collection for University of Nebraska-Lincoln. AAI8314904.
https://digitalcommons.unl.edu/dissertations/AAI8314904