Exact analytical expressions for shear stiffness constants are provided herein for homogeneous, orthotropic, prismatic beams with arbitrary cross-sectional shapes. The analytical expressions are extracted, without invoking any approximations, from exact solutions of the linear equations of three-dimensional elasticity for flexure. Owing to the elasticity solutions being in terms of a stress function for cross sections with arbitrary shapes, the shear stiffness constants are also provided in terms of the same stress function. For elliptical and rectangular cross sections, this stress function is known so that shear stiffness constants are provided in closed form. These closed-form expressions constitute a standard with which the accuracy of two-dimensional beam cross-sectional analyses to calculate shear stiffness in the presence of orthotropic materials may be assessed. The calculated shear stiffness constants, from two such cross-sectional analyses, are successfully validated in this manner.
Shear Stiffness of Homogeneous, Orthotropic, Prismatic Beams
AIAA Journal ; 55 , 12 ; 4357-4363
2017-08-11
7 pages
Article (Journal)
Electronic Resource
English
Shear Stiffness of Homogeneous, Orthotropic, Prismatic Beams
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