用挠曲线增量求梁的变形

本文应用等直梁挠曲线近似微分方程建立常用载荷作用下梁的转角方程与挠曲线方程用挠曲线增量表示的解析式,其中各段梁的挠曲线增量可用作用于交界面处的载荷表示,初挠度、初转角由梁的支承条件确定。通过求解不同支承形式静定梁变形的实例,说明方法的适用、灵活和简便。

Solving Deformation of Beam by Deflection Curve Increment

Using the approximated differential equation of deflection curve of constant section beam, this paper establishes the analyzing equations of rotating angle and deflection curve under common loads expressed by deflection curve increment (Thus the deflection curve increment of any section of the beam is just the load). The initial deflection and the initial rotating angle are determined by the condition of supports. The methed is demonstrated convenient and suitable for use.