Discussion of “Plane-Framework Methods for Plates in Extension”

Abstract

The author obtained the edge effects for a conical shell using an asymptotic approach appropriate for thin shells. Considering that convenient solutions to the same problem are available without the asymptotic approximation, 6 the writer (and any other engineer interested in the potential uses of the paper) would like information concerning the advantages, if any, of the author's technique as compared to the standard one. Because the transcendental functions used in Reference 6 are tabulated therein and are, therefore, as easy to use as the exponential functions in the paper, the writer does not consider this point to be material. A comment by the author on this matter would be desirable, and enhance the usefulness and value of the paper. PLANE-FRAMEWORK METHODS FOR PLATES IN EXTENSIONbDiscussion by Alexander P. Hrennikoff ALEXANDER P. HRENNIKOFF,12 F . ASCE.-The writer is interested in this further extension of the framework method by the authors responsible for much of its recent development. The following comments on the proposed Type One framework model are intended to elucidate the role played by some significant factors.The model considered is an elaboration of McCormick's square model, in which the square shape of the cell is replaced by a more versatile oblong shape. The in-plane flexural rigidity attributed to the side bars of the rectangular cells is, of course, necessary to make the model conform to the deformability of a plate with an arbitrary value of Poisson's ratio. However, a February, 1966, by Jack R. Vinson (Proc. Paper 4657).

Application of Finite Element Technique: A Review Study

“…The most important aspect of the framework method is that it may be used to solve a wide range of insoluble elastic problems. This method is credited with laying the groundwork for the finite element method [4]. Douglas McHenry presented in 1943 a numerical computer solution for practically all problems involving 2D thermal stress, including material in the elastic area; this element is about sequential approximation, in which the rigor of the output was entirely determined by the amount of work done.…”