Stress in and Deformation of a Drum Supported at Both Ends under a Load in the Middle through a Rope

Abstract

The strict analysis of the strength and deformation of a thin circular cylindrical shell under a varying radial line load distributed around the circumference at a section has not been developed. In this paper, as an example of the problem, the strength and deformation of a drum supported at both ends under a line load in the middle through a rope is discussed, utilizing the fundamental differential equation introduced by Dr. K. Mizoguchi, and an experiment is performed for checking this analysis. In this case, the behavior of the deformation of the shell is very complicated as in the case of the previous report⁽¹⁾ ; e.g. the deformation of the shape of the cross section is so large that the uppermost and lowest side deflect upwards, quite opposed to the deflection obtained on the beam theory, which shows that the use of the approximate method such as that of simplified equation or the energy method is very dangerous.