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用统一屈服准则(俞茂宏,1991)对斜板进行塑性极限分析,得到斜板的统一极限载荷解析式。从而得到一系列从单剪屈服准则(特雷斯卡,1864)到三剪屈服准则(米泽斯,1913)再到双剪屈服准则(俞茂宏,1961)的各种斜板的极限载荷,并得到矩形板和菱形板的极限均布载荷p随不同屈服准则的变化曲线,文献中已有的解均为统一解析解的特例。本文得到一系列有规则变化的新的解析解,可以适合于各种拉压强度相同的材料以及从方板、矩形板到不同角度的各种斜形板。它的工程应用可以得到显著的经济效益。
The plastic limit analysis of inclined slab is carried out by the unified yield criterion (Yu Maohong, 1991), and the uniform limit load analysis formula of inclined slab is obtained. Thus, a series of ultimate loads for a variety of sloping plates from the single shear yield criterion (Tresca, 1864) to the three shear yield criterion (Midas, 1913) to the double shear yield criterion (Yu Maohong, 1961) The curves of the ultimate uniform load p of the rectangular plate and the diamond plate with different yield criterion are obtained. The existing solutions in the literature are all special cases of the unified analytical solution. In this paper, we obtain a series of new analytic solutions with regular changes, which can be applied to all kinds of materials with the same tensile strength and different kinds of oblique plates from square plates and rectangular plates to different angles. Its engineering application can get significant economic benefits.