Abstract
The interior problem of an orthotropic strip subject to any given continuous distribution of normal and shear loads is solved by means of a polynomial expansion for the Airy stress function. The polynomial functions defined in the transverse direction are determined recursively by solving a Fredholm equation of second kind. Explicit formulas for displacements are given. A sufficient condition for the convergence of the series expansion is derived. This solution is used to evaluate the error in Timoshenko and higher-order theories. A new beam theory is finally proposed, whose error has the same asymptotic form as second-order theories but approaches zero for strips made of strongly orthotropic material.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
