The 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.
Flexure-torsion behavior of prismatic beams. I - Section properties via power series
AIAA Journal ; 31 , 1
1993-01-01
Sonstige
Keine Angabe
Englisch
Flexure-Torsion Behavior of Prismatic Beams, Part I: Section Properties via Power Series
Online Contents | 1993
|Emerald Group Publishing | 1939
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