结构力学问题五则

Five Problems of Structural Mechanics

本文对结构力学中的若干传统问题进行了探讨。对三虛铰在无穷远处体系为非几何不变的结论提出了另一种论证方法;指出了简支梁的绝对最大弯矩有一上限值并定量地确定了它;对具有刚性杆的刚架的位移法基本未知量数目,以及承受结点集中荷载的刚架弯矩是否为零的问题,提出了更加简便的判别法则;对无剪力分配法应用于空腹梁的已有论述提出了不同意见。

Several traditional problems of structural mechanics are provided to discuss in the paper. Another demonstrating method on the conclusion of the system with three virtual hinges at infinite point being variable in geometry is brought out. The superior limit of the absolutely maximum bending moment in simply supported beam is pointed out and defined.Simpler and more convenient evaluation methods are brought out on determining the principal unknown number of displacement method on the frame with rigid member and the moment being nought or not on the frame under concentrated loading at joint.A new argument is put forward about the prior conclusion applying moment distribution without shear force to the vierendeel girder.