ABSTRACT In this paper, we derive the shear coefficient K for quartz crystal of rectangular cross section in Timoshenko's beam theory of three-dimensional (3-D) elasticity. The theoretical result gives K as a function of the transformed elastic stiffness constants c'22, c(with hatchek)44, c'66. For an isotropic material it agrees completely with that derived by Cowper. In addition, a value of and its temperature coefficient versus cut angle is calculated so that K has a value of 0.796-0.867 and its temperature coefficient of the first order varies from -15.3 × 10-6/°C to +13.2 × 10-6/°C, when a Z-plate of quartz crystal is rotated with a cut angle θ of 0-180× about the x axis. The values of are then compared with those for isotropic materials obtained by other authors.
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