In this paper, a non-homogeneous, isotropic, linearly elastic bar of uniform cross-section is considered. The bar is subjected to bending and shear. The modulus of elasticity of the bar is independent of the axial coordinate. A generalization of the classic Jourawski shear formula is presented for bars of non-homogeneous cross-section. The shear formula derived is valid for arbitrary directions of the applied shear force. Three examples illustrate the application of the generalized Jourawski shear formula.
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