本文由三維彈性力學出發，在卡氏座標下，建立異向性柱體承受剪力作用下之狀態空間解析模式。相較於傳統的理論架構，狀態空間解析模式將所處理之力學問題視為一線性系統，針對問題審慎選擇狀態向量，對場量變數適當的分類，並透過有系統的矩陣運算與推導，得到形式簡單優美的狀態方程式。將此一理論套用至不同異向性程度之柱體，探討其應力分析，並與參考文獻驗證本文之適用性，進而探求斷面性質勁度矩陣，分析其所具有之特性。

　　 A state space formalism for anisotropic elastic cylinders subjected to shear forces is established on the basis of three-dimensional basic equations of elasticity in the Cartesian coordinates. In comparison with the conventional formalisms, in the state space formalism the physical problems are dealt with in a linear system. By grouping the field variables properly using matrix notations and partitioning the constitutive matrices accordingly, the basic equations of elasticity are formulated into a simple and concise state equation in terms of state vector. The formalism is examined through the analysis of stress compared with reference documents. Further investigations in the cross-sectional properties of orthotropic and anisotropic cylinders subjected to shear forces are analyzed.

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