Stresses in Thick Arches of Dams

The stresses in arches considered as parts of an arch dam are determined on the assumptions that Poisson's ratio is zero and that the vertical downward stresses produced by the weight of the concrete and of the water acting on the up-stream face are negligible; it is further assumed that the modulus of elasticity is constant and that norm al planes remain plane, so that deformations due to shear do not influence the distribution of the normal stresses due to bending. Making these the usual assumptions the writer finds formulas for stresses, which formulas are identical with those developed by William Cain, M. Am. Soc. C. E. This serves to check the method of development used in this paper.