Versatile and Improved Higher‐Order Beam Element
Publication: Journal of Structural Engineering
Volume 110, Issue 9
Abstract
The degeneration of two classes of deep beam elements is conducted, one (DB6) based on the conventional Timoshenko beam assumptions and the other (DB7) based on the assumed cubic order longitudinal displacement profile. While an adjustable shear correction factor is required for the DB6 element to compensate for the unrealistic distribution of a shear strain across the beam depth, the DB7 element assumes the more realistic quadratic profile of shear strain at the outset. With the plane‐stress continuum solution serving as reference in static and free‐vibration analyses, solutions obtained by these two element models are compared with the analytical Timoshenko solution, the analytical thin beam solution and several available solutions of existing beam elements. The result indicates that the performance of the higher order beam element DB7 is seen to be more versatile than other models previously developed by various investigators. Also, superior accuracy of the results is evident in both analyses over a wide range of the beam aspect ratios.
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Information & Authors
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Published In
Journal of Structural Engineering
Volume 110 • Issue 9 • September 1984
Pages: 2234 - 2249
Copyright
Copyright © 1984 ASCE.
History
Published online: Sep 1, 1984
Published in print: Sep 1984
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