Based on beam theory, this paper proposes an analytical study of the thermal expansion mismatch-induced tensile residual stresses in brittle coated components. Numerical results show that the shear stress and the peeling stress at the coating-substrate interface are significant near the free ends of the coated components and become negligible in the interior region. In contrast, the in-plane normal stress dominantly develops in the interior region and exhibits a mirror near the free ends. In addition to the stress analysis, calculations of the strain energy release rate reveal that the crack initiation and crack spacing of the coating is a function of coating thickness and coating’s elastic modulus.