The bending problem of a circular plate is of great interest in many practical engineering cases such as those with the bolted cover plate of a pressure vessel or a manhole cover. Here, the authors deal with the numerical solution technique of bending problem of a circular plate by using the boundary element method, and apply this technique to the bolted cover plate of a pressure vessel. For a high-pressure vessel, an accurate estimation of the increase of tension in bolt clamping the cover plate of cylinder is essential to ensure the safety and maintenance. This paper presents a convenient and practical way based on the theory of plate on elastic foundation to estimate the bolt tension by taking the interface contact region into consideration. Furthermore, in order to develop a more versatile procedure for determining the stress distribution in a reinforced plate, the authors also deal with the bending problems of circular plate with tapered stiffners that elastically support the plate and are formed of two or more beams radiately intersecting at the center of the plate at equal space.
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