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在工程中,深梁、地基梁等应用日益广泛。对于这些平面问题的应力计算,若采用材料力学的计算方法,其计算结果往往是远远不能反映实际的应力情况。或者偏小,或者过大,最多的可能差几倍。为了能较实际地反映应力分布情况,做到合理的设计,就必须依靠弹性力学的方法才能解决。在设计中,弹性力学问题的近似解法,一般常用的计算方法是有限元法和差分法。在计算周边正交的平面应力时,差分法比有限元法较为简单,且在同等的计算精度情况下,差分法所
In engineering, deep beams, foundation beams and other applications are increasingly widespread. For the stress calculation of these plane problems, the calculation result of material mechanics often can not reflect the actual stress situation. Or too small, or too large, the maximum possible difference of several times. In order to reflect the stress distribution more effectively and to achieve a reasonable design, we must rely on the method of elastic mechanics to solve it. In the design, approximate solutions of elastic mechanics problems, the commonly used calculation methods are finite element method and the difference method. In the calculation of the orthogonal plane stress, the difference method is simpler than the finite element method, and in the same calculation accuracy, the difference method