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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。
By using the unified strength theory (Yu Maohong, 1991) to analyze the plastic limit analysis of simply-supported inclined slab, the lower limit analytic formula of the uniform limit load of inclined slab is obtained. From the theory of shear strength (Mohr-Coulomb, 1900) The double shear strength theory (Yu Maohong, 1985) and the lower limit solution of various slopes from the single shear yield criterion (Tresca, 1864) to the double shear yield criterion (Yu Maohong, 1961). The existing solutions in the literature are the special cases or the linear approximation of this paper. In this paper, a series of new solutions with regular changes are obtained, which can be applied to all kinds of materials with the same and different tensile strength, as well as various oblique plates from diamond plates, square plates and rectangular plates to different angles.