简支斜板、菱形板、矩形板和方板极限荷载的统一解析解  

A UNIFIED SOLUTION FOR LIMIT LOAD OF SIMPLY SUPPORTED OBLIQUE PLATES, RHOMBUS PLATES, RECTANGLE PLATES and SQUARE PLATES

作　　者：李建春[1] 俞茂宏[1] 范寿昌[2] 

机构地区：[1]西安交通大学 [2]新加坡南洋理工大学

出　　处：《土木工程学报》2000年第6期76-80,共5页China Civil Engineering Journal

基　　金：国家自然科学基金

摘　　要：通过用统一强度理论（俞茂宏，１９９１）对简支斜板进行塑性极限分析，得到了斜板的统一极限荷载 下限解析式，从而得到一系列从单剪强度理论（Ｍｏｈｒ－Ｃｏｕｌｏｍｂ，１９００）到双剪强度理论（俞茂宏，１９８５）以及从 单剪屈服准则（Ｔｒｅｓｃａ，１８６４）到双剪屈服准则（俞茂宏，１９６１）的各种斜板的极限荷载下限解。文献中已有的 解均为本文的特例或线形逼近。文中得到一系列有规则变化的新的解，可以适合于各种拉压强度相同和不相同 的材料以及从菱形板、方板和矩形板到不同角度的各种斜形板。The plastic limit analysis for a simply supported oblique plate is performed by the unified strength theory[6], A unified plastic limit load expression of lower bound is obtained in the paper. A series of solutions corresponding to the result by the Mohr-Coulomb strength theory and the twin shear strength theory[9] are got. The results available in literatures are special case or linear approximation of the obtained solution, which is in accordance with different materials and shape. This means the unified solutions for a simply supported oblique plate can be simplified to the solution of an oblique plate with different size, a rectangle plate, a square plate, and a rhombus plate.

关 键 词：强度理论 斜板 菱形板 矩形板 极限荷载 

分 类 号：TU339.01[建筑科学—结构工程]