论文部分内容阅读
直接查阅材料力学手册中图表,对我们计算提供了迅速而方便的条件。有时我们也可以扩展这些图表的用处,对于应力、变形的一系列问题可借助类比法,通过其它杆的变形形式简便求得。材料力学中的类比法是建立在微分方程同一性的基础上的,即在轴向拉伸(压缩)时,求轴向力和轴向位移;扭转时求角变形和角位移;剪切时求角变形和剪切线位移;弯曲时求广义剪力、弯距、转角和挠度等问题的微分方程的同一性基础上,建立起来的类比法。材料力学中的共轭梁法就是一种类比法。求梁任一截面的转角、挠度可利用材料力学手册中剪力、弯矩图求之,既方便又直观。
Looking directly at the diagrams in the materials mechanics manual provides a quick and convenient condition for our calculations. Sometimes we can also expand the usefulness of these diagrams. A series of questions about stress and deformation can be easily obtained by analogy and through the deformation of other rods. The analogy method in material mechanics is based on the identity of differential equations, that is, when axially stretching (compressing), the axial force and axial displacement are required; when torsion, the angular and angular displacements are calculated; when shearing Seek angle deformation and shear line displacement; establish the analogy method based on the identity of differential equations for generalized shear force, bending distance, rotation angle, and deflection. The conjugate beam method in material mechanics is an analogy method. Finding the turning angle and deflection of any section of a beam can be obtained by using the shear force and bending moment diagrams in the material mechanics manual, which is convenient and intuitive.