叠加法计算简支梁任意截面位移

SLOPE AND DISPLACEMENT OF A SIMPLY SUPPORTED BEAM BY METHOD OF SUPERPOSITION

  • 摘要: 简支梁在某一截面的位移可由以该截面为固定端、并把支座用其约束力替代形成的两个悬臂梁的自由端的挠度计算.用单位载荷法证明了计算截面位移的公式.该公式简单易用,适用于任意简支梁.

     

    Abstract: The slope and displacement at a specific point on a simply supported beam are obtained by considering the displacements of the free ends of two cantilever beams. There cantilever beams are fixed at the specific point in question, and their free ends are subjected to the reaction forces from the supports of the simply supported beam. The validity of this method is proved by the unit-load method. The formulas derived are simple, and the method is straightforward to apply. It is applicable to general simply supported beams.

     

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