An analysis is developed for bending of a thin circular cylindrical shell under a varying radial line load distributed around the circumference at the center section. The problem is solved by reducing the eighth-order differential equation of thin-shell theory to two approximate fourth-order equations. Deflections, bending stresses, and membrane stresses are evaluated. Both simply supported and clamped ends are considered.
Bending of a Thin Cylindrical Shell Subjected to a Line Load Around a Circumference
H. R. Meck
Pratt & Whitney Aircraft, Connecticut Aircraft Nuclear Engine Laboratory, Middletown, Conn.
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Meck, H. R. (September 1, 1961). "Bending of a Thin Cylindrical Shell Subjected to a Line Load Around a Circumference." ASME. J. Appl. Mech. September 1961; 28(3): 427–433. https://doi.org/10.1115/1.3641723
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