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The Cantilever Strip Plate of Varying Thickness and the Centre of Shear

2002
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Quarterly Journal of Mechanics and Applied Mathematics
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A homogeneous, isotropic plate occupies the region 0 x 1 ∞, |x 2 | a, |x 3 | h, where the semi-thickness h = h(x 2 ). The ratio h(x 2 )/a is supposed to be everywhere sufficiently small so that the classical theory of bending of thin plates (of non-uniform thickness) applies. The short end of the plate at x 1 = 0 is clamped while the long sides are free. This cantilever plate is now loaded at x 1 = +∞ by an applied twisting moment, by a bending moment or by flexure. We solve these problems for

doi:10.1093/qjmam/55.1.29
fatcat:feeyrwy7xfdtbnrf64akknr4gq