Line Load on Cylindrical Shell With End Plates

[+] Author and Article Information
J. H. Williams

Dept. of Mechanical Engineering, M. I. T., Cambridge, Mass.

J. Pressure Vessel Technol 96(2), 131-136 (May 01, 1974) (6 pages) doi:10.1115/1.3454151 History: Received March 25, 1974; Online October 25, 2010


The elastic static stresses and displacements in a shell with end plates are determined when a circular cylinder is subjected to a uniform line load along a generator. The method of solution is the superposition of a particular solution in which the shell’s response is computed for simply supported end conditions and a complementary solution in which the true end plate reactions are imposed on the ends of the cylinder. Examination of the end conditions reveals that the assumptions Nx = w = 0 (no axial force and no radial displacement) are generally justified whereas the assumptions Mx = 0 and v = 0 (no axial moment and no circumferential displacement) will usually lead to considerable relative errors in the axial bending stresses and the circumferential membrane stresses, respectively.

Copyright © 1974 by ASME
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