问题描述:
对于下图所示的平面排架结构(简化模型),建模细节包括:
1,梁柱的铰接以柱顶的端部释放(T,M2,M3)来实现,如图 ① 所示。
2,排架柱的偏心(0.3m)以柱顶/柱底的插入点来实现,如图 ② 所示。
3,仅考虑作用于横梁(跨度 6m)上的线荷载 10kN/m,不考虑结构自重。
理论上讲,横梁传递给每根排架柱的竖向荷载为 30kN。考虑到 0.3m 的偏心距,柱顶弯矩应为 30 x 0.3 = 9.0kN·m。因此,即使仅考虑柱顶的弯矩值,SAP2000 给出的弯矩图(如图 ③ 所示)也存在明显的错误。请问,如何解释该结果呢?如何才能正确模拟排架柱的偏心呢?
解答:
由于用户对排架柱的柱顶指定端部释放(T,M2,M3),SAP2000 会自动释放柱顶的弯矩和扭矩,包括轴力偏心引起的附加力矩。也就是说,框架单元的端部释放和插入点无法同时发挥作用,故以这种方式模拟排架柱的偏心并不妥当。其实,我们可以换一种思路:以梁的端部释放模拟梁柱的铰接,同时以柱的插入点模拟偏心。这样就可以有效避免“同时指定柱顶的端部释放和插入点”,具体操作如下:
1,对横梁的两端指定端部释放,一端释放 T,M2,M3,另一端释放 M2,M3,如图 ① 所示。
2,对排架柱指定插入点,该操作与题目中的操作完全相同,如图 ② 所示。
基于以上建模思路考虑排架柱的偏心,从图 ③ 所示的弯矩图可以看出,柱顶弯矩 9kN·m(外侧受拉)与理论上的解答完全一致。另外,沿高度方向线性变化的弯矩也对应排架柱的非零剪力(常数)。
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)