Deflections and Stresses of a Clamped Rectangular Sandwich Beam

T. Fang
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Abstract

The variational principle of minimum potential energy is used to determine the deflections and stresses of a flat isotropic sandwich beam with freely sliding clamped ends when subjected to symmetrical lateral loads and end axial forces. Expressions are obtained for the cases of tensile, compressive, and no axial load, acting together with a general symmetrical transverse loading. Curves for the nondimensional deflections and stresses are presented for a uniformly loaded sandwich beam coupled with axial load as functions of two structural parameters. A representative numerical example showing the application of the curves is also given.
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夹紧矩形夹层梁的挠度和应力
利用最小势能变分原理,计算了两端自由滑动夹紧的平面各向同性夹层梁在对称横向荷载和端轴向力作用下的挠度和应力。得到了拉伸、压缩和无轴向载荷与一般对称横向载荷共同作用的情况下的表达式。给出了受轴向载荷耦合的均匀加载夹层梁的无因次挠度和应力随两个结构参数的变化曲线。最后给出了一个具有代表性的数值实例,说明了该曲线的应用。
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