在工程界中，配合不同問題的邊界條件、材料特性及環境，廣泛使用分析軟體解決各種問題，惟在未知精確解或鑑於有限元素法所計算複雜問題有誤差情形，為了更精確得到真實解，本研究探討平滑有限元素法並且與有限元素法比較，利用節點來平衡兩者之間的解並且加以探討。

本研究利用Fortran程式語言分析模擬懸臂梁端點分別承受單一軸向力、垂直集中力情形，比較出電腦分析與傳統手算法的差異性。就本研究分析結果來看，不論是位移、應變、應力或是應變能，所得到的數值極為相似，顯示均可得到近似的結果。

The analysis software is widely used and could solved various problems according to the different boundary conditions, material properties and environment in the engineering field. However, in order to get the real solution more accurately for the complex problems caused. The smoothed finite element method is discussed and compared with the finite element method and hand-calculated solutions. The solutions are compared and discussed.

In this study, Fortran programs was used to simulate the cantilever beam in the axial force, concentrated force, compared the traditional hand algorithm and computer analysis. The results of this study show that the displacements, strains, stresses and strain energy are approximated well.

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