Abstract
This chapter discusses the differential relationships between the deflections of the classical Kirchhoff plate theory and first- and third-order plate theories, which are developed for simply supported, polygonal plates. As examples, the deflections of simply supported triangular and rectangular plates are obtained using these relationships. Closed-form solutions for the stress resultants and deflections are derived for some plate cases. Where these exact solutions cannot be obtained, the analysts can draw on very general finite element software, such as ABAQUS and COSMOS, to solve their plate bending problems. These software packages for plate analysis usually provide classical plate theory elements and first-order shear deformation plate theory elements. The latter type of elements allows for the effect of transverse shear deformation. This chapter presents exact relationships linking the stress-resultants and deflections of the first-order shear deformation theory to those of the classical plate theory for simply supported polygonal plates.
Sign-in/Register to access full text options 
Free) 
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 call
