• 作者： 陳舜田
• 作者服務機構： 國立臺灣大學
• 中文摘要： 彈性支承梁之應力與梁之斷面及各支承彈簧常數有關，梁斷面及各彈簧常數間必有一最佳之配合，使所需材料為最少。格型梁之應力與各梁之剛度亦即梁斷面之安排有關，其間亦定有一最有利之組合使梁之總用料為最經濟。 本文以勁度法及柔度法分別處理彈性支承梁及格型梁之問題。先列出節點平衡方程式或幾何方程式輔以應力約束式及最小利益函數之要求，藉線型規劃法求得最經濟之結果。
• 英文摘要： The stresses in elastic-supported beams depend on the beam section and springconstants of supports. There must be a best relactionship among beam section andspring constants, which minimize the material required. On the other hand, thestresses in grids depend on the stiffness or beam section of each member. Theremust also be an optimum conbination of stiffnesses, which minimize the total volumeof material. In this paper, the stiffness method and the flexibility method are used to treatthe elastic-supported beam problems and the grid problems respectively. The jointequilibrium equations or geometrical equations are first stated, then togather withthe equations of stress constraint and the requirement of minimum merit function,the economical beam section or sections can be obtained by using linear programingmethod.
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