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Analysis and Experiment on the Bending of an Equilateral Triangular Plate Clamped at All Edges with a uniformly Distributed Load

机译:均布载荷作用下夹在铝边的等边三角形板弯曲的分析与实验

摘要

In this paper an equilateral triangular plate clamped at an edges with a uniformly distributed load is given its solution by the energy method and the finite difference method as well. vertical deflections and bending stresses were evaluated in the loading test of the plate,such experimental data having been as yet very little presented about the bending of plates as a whole. The following results were obtained.  1.The maximum deflection by the finite difference method using an equilateral triangular net of the node distance equal to 1/12 of a side length,is larger than that by the energy method by about 20%,which will diminish for the finer net upon which an electron computer will be preferred to work.  2. Up to the deflection of about 80% of the thickness of the plate,the smalldeflection theory of plates is considered to be applicable,as within this range deflections and stresses by experiment coincide fairly well with those by the theoretical analysis.
机译:在本文中,用能量法和有限差分法(如wel)给出了一个等边三角形板,该板夹在边缘上具有均匀分布的载荷。在板的载荷试验中评估了垂直挠曲和弯曲应力,至今关于板整体弯曲的实验数据很少。获得了以下结果。 1.使用节点距离等于边长的1/12的等边三角形网的有限差分法的最大挠度,比能量法的最大挠度大约20%,这将在以后的细网中减小最好使用电子计算机。 2.直至板厚度的大约80%的挠度,板的挠度理论被认为是适用的,因为在此范围内,实验的挠度和应力与理论分析的挠度和应力相当吻合。

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