Stresses and Deflections of Thick, Curved Plates

Abstract

A solution is obtained using the linear theory of elasticity for the stresses in a long, thick, uniformly curved plate due to pressures on the curved surfaces and forces or deflections specified on the straight edges. The maximum stresses are compared with those obtained by the elementary thin beam theory, showing the range of applicability of the simpler theory. In general, the accuracy of the elementary theory depends on the total plate angle (α) as well as the mean radius-to-thickness ratio (rm /t).