问题描述:
采用知识库文档《均布线荷载的等效节点荷载》中介绍的方法,等效节点荷载的简支梁与均布线荷载作用下的简支梁具有完全一致的节点位移或节点转角。但是,为什么两者的弯矩图有所不不同呢?如下所示,等效节点荷载作用下的简支梁弯矩值略大于均布线荷载作用下的简支梁弯矩值。
解答:
如下所示,图 1 中的结构与荷载等价于图 2 与图 3 的叠加,图 3 中的节点荷载即等效节点荷载。由于图 2 中的节点位移和节点转角均为零,故图 1 与图 3 具有一致的位移结果。但是,图 2 中的结构内力并不为零,故图 1 中的结构内力为图 2 和图 3 的叠加。
![](data:image/png;base64,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)
对于题目中提及的简支梁弯矩图,可作如下理解:【等效节点荷载+简支梁】+【均布线荷载+固定全部节点】=【均布线荷载+简支梁】。为了验证上述结论,我们可以在 SAP2000 中利用阶段施工分析定义【等效节点荷载+简支梁】的荷载工况,该工况叠加常规的线性静力的【均布线荷载+固定全部节点】荷载工况,即可得到如下所示的弯矩图。可以看出,该弯矩图与简支梁在均布线荷载作用下的弯矩图完全相同;除此之外,节点位移或节点转角也与均布线荷载作用下的简支梁完全相同。