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本文将柱比法(Column analogy)推广用于解高于三次的静不定结构。采用的方法是从整体结构中逐次切取一不超过三次的静不定局部结构进行分析,第二次切取的局部结构要包括第一次切取的局部结构,但此时后者只是作为一个“杆件”出现在第二次的局部结构中。如此进行直至切取完全部结构。每次局部结构均用柱比法分析,惟其中上述“杆件”的弹性常数和弹性荷载必须按推广定义求算。本法无繁杂公式,也无需解联立方程,计算步骤简明,不但从理论上丰富了柱比法,且对解算跨变结构或有侧移的结构,还具有独特的优点。
In this paper, Column analogy is generalized to solve statically indeterminate structures above three times. The method adopted is to sequentially analyze the overall structure with no more than three statically indeterminate local structures for analysis. The second time the local structure is cut to include the first partial structure, but the latter is only used as a “piece of rods”. "Appeared in the second partial structure. This is done until the complete structure is cut out. Each time the local structure is analyzed by the column ratio method, the elastic constants and elastic loads of the above “rods” must be calculated according to the general definition. This method has no complicated formulas, and does not require solving simultaneous equations. The calculation steps are concise. It not only enriches the column ratio method theoretically, but also has unique advantages for solving cross-variable structures or structures with lateral shifts.