Shape optimization and assessment of wind induced stresses in domes

Abstract

Domes are popularly used for column free areas. They are employed as covers to reservoirs and treatment units and also as containment in nuclear reactors. Inverted domes are popular as foundations. This paper demonstrates the need and scope for optimization of domes by formulating and solving the problem by use of calculus. A simple but elegant method is suggested for determination of wind stresses by statics which compares very well with that obtained by rigorous method.