當處理軸向變形很小的剛架結構時，作軸向束制之假設是非常恰當的。可以減少自由度或計算量。可以避免因為數值較大的軸向勁度與數值較小的彎矩或扭力勁度混合起來計算引起精準度的損失。本文避開前輩不穩定或半自動之解法等缺失，找出剛架作軸向束制後產生的主要特性，即模態形狀矩陣。再將模態矩陣應用到剛架分析的主要方法上，如位移法中之同餘轉換法、彎矩分配法、傾角撓度法。文中對彎矩分配法有較多的敘述。例題段落中同一題目用上述各種方法計算，以供結果之比較。在適合微小軸向變形之假設下，所提供的方法非常有用，比如在目前的結構學之教學。 A better solution for structural analysis with axial constraint is developed in this paper. The feature of the structure under axial constraint is mode shape matrix. Then, the applications in slope deflection method, moment distribution method, and congruent transformation method are established from these mode shapes. In the example section, the same problem is solved by these methods. The differences among these results are very small. Thus a useful method is provided, especially in the teaching course of structural analysis.
關聯:
中華民國第八屆結構工程研討會論文集=Proceedings of the 8th National Conference on Structural Engineering，10頁
