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对跨中集中外荷载作用下一次超静定梁的弹塑性加载和变形全过程进行了改进分析.根据受力变形特点,超静定梁的加载过程可分为四个阶段,分别是弹性阶段、固支端附近塑性变形区扩展阶段、固支端附近和集中荷载作用点附近塑性变形区扩展阶段、固支端保持为塑性铰而固支端附近的弹塑性区发生卸载现象但集中荷载作用点附近塑性变形区继续扩展阶段.在弹性阶段,位移与外荷载是线性比例关系,在后三个阶段,位移与外荷载是复杂的非线性关系.针对现有研究中位移计算存在的错误,给出了第四阶段全过程任意点的位移计算公式,给出了跨中位置点各阶段荷载终值对应的位移.给出的位移公式,可供工程结构设计应用.
The whole process of elasto-plastic loading and deformation of a statically indeterminate beam subjected to mid-span concentrated loads is analyzed and improved.According to the characteristics of mechanical deformation, the loading process of statically indeterminate beam can be divided into four stages: elastic stage , The plastic deformation zone near the branch ends expands, the plastic deformation zone near the branch ends and near the concentrated load point expands, the branch stays at the plastic hinge and the elastic-plastic zone near the branch ends unload but the concentrated load In the later stage, the displacement and the external load are complex non-linear relations.According to the existing errors in the displacement calculation of the existing research, The displacement calculation formula of arbitrary point in the whole process of the fourth stage is given, and the displacement corresponding to the final value of load in each stage of mid-span position is given. The displacement formula given is available for engineering structural design and application.