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Flexure-torsion behavior of prismatic beams. I - Section properties via power seriesThe behavior of a tip-loaded cantilever beam with an arbitrary cross section is studied using Saint-Venant's semi-inverse method along with a power series solution for the out-of-plane flexure and torsion warping functions. The power series coefficients are determined by solving a set of variationally derived linear algebraic equations. For complex cross sections, the calculated coefficients represented a 'best-fit approximation' to the exact warping function. The resulting warping functions are used to determine the cross-sectional properties (torsion constant, shear correction factors, shear deformation coefficients, and shear center location). A new linear relation is developed for locating the shear center, where the twist rate is zero about the line of shear centers. Moreover, the kinematic relations for a new fully compatible one-dimensional beam theory are developed. Numerical results are presented first to verify the approach and second to provide section data on NACA four-series airfoils not currently found in the literature.
Document ID
19930039560
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Kosmatka, J. B.
(California Univ. La Jolla, United States)
Date Acquired
August 16, 2013
Publication Date
January 1, 1993
Publication Information
Publication: AIAA Journal
Volume: 31
Issue: 1
ISSN: 0001-1452
Subject Category
Structural Mechanics
Accession Number
93A23557
Funding Number(s)
CONTRACT_GRANT: NAG1-1151
Distribution Limits
Public
Copyright
Other

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