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A note on the shear center problem for shear-deformable plates. (English) Zbl 0866.73032

Summary: It is shown that a minimum complementary energy analysis, in conjunction with Saint-Venant type stress assumptions, for shear-deformable plates of variable thickness leads to a second-order ordinary differential equation problem for the distribution of transverse shear. It is found that this equation is equi-dimensional for plates with linearly varying thickness. The ensuing exact solution implies an explicit expression for the location of the center of shear dependent on an appropriate dimensionless parameter involving cross-sectional dimensions and transverse twisting and shearing stiffness coefficients. Significant numerical consequences are encountered for plates which are relatively soft in transverse shear.

MSC:

74K20 Plates
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