Deformation and Stress in a Cylindrical Shell under Concentrated Loading : 2nd Report, Circumferential Loading

Abstract

In the present paper, as a series of investigations on a cylindrical shell under concentrated loads, a cylindrical shell under a circumferential concentrated load, which is simultaneously accompanied by a circumferential concentrated couple, is discussed by applying the same procedure as adopted in the previous report. The solutions due to an in-plane load are deduced in the present paper and those due to a couple are found from those in the 1st report. Solutions obtained are all represented in the form of uniformly converging series and closed terms. The singularities of the cylindrical shell are discussed in detail and it is found that in the case of an in-plane load, the bending stresses have (h/a) order of the membrane ones, in the case of a couple, the membrane stresses have (h_a) order of the bending ones; where a:radius of cylinder, h:thickness of cylinder. The numerical results are also confirmed by the experimental ones.