Evaluation of Localized Stresses at Spherical Pressure Vessel-to-Column Support Junction Using Closed-Form Equations

Vivek Manjrekar
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Abstract

Spherical pressure vessels (spheres) are widely used for storing liquids and gases at high pressures. The post plates of column-supported spheres are subjected to additional loads imposed by the supporting columns. The resulting localized stresses at column-to-post plate junction are difficult to analyze using analytical methods. Numerical techniques, such as the finite element method (FEM) are generally used to analyze the local discontinuity stresses. In this work, a finite element parametric study is performed using a wide range of sphere geometries. The stresses at various locations around the column attachment are investigated. The influence of various loadings on the local stresses is also investigated. The internal membrane forces and bending moments obtained from the finite element model are then used to establish the dimensionless curves. A step-by-step procedure and the closed-form equations are provided to calculate membrane stresses, bending stresses and the combined stresses. A table of load factors is included to estimate the maximum vertical and horizontal loads on post plate due to wind or seismic forces. Finally, a sample problem is presented to illustrate the analysis procedure. Using this easy-to-use analysis approach, the design engineers will be able to calculate the localized stresses in sphere post plates without having to utilize the finite element method.
用封闭方程计算球形压力容器-柱支撑连接处局部应力
球形压力容器(球)被广泛用于在高压下储存液体和气体。柱支撑球的柱板承受由支撑柱施加的附加载荷。柱柱板结合处的局部应力难以用解析方法分析。局部不连续应力的分析一般采用有限元法等数值方法。在这项工作中,使用广泛的球体几何形状进行了有限元参数化研究。研究了柱附件周围不同位置的应力。研究了不同载荷对局部应力的影响。利用有限元模型得到的膜内力和弯矩,建立了无量纲曲线。给出了计算膜应力、弯曲应力和复合应力的分步程序和封闭方程。荷载因子表包括估计最大垂直和水平荷载在柱板上由于风或地震的力量。最后,给出了一个示例问题来说明分析过程。使用这种易于使用的分析方法,设计工程师将能够计算球形柱板的局部应力,而不必使用有限元方法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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