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Long Cylindrical Shell Under Concentrated Loads Applied to a Central Reinforcing Ring
註釋The stresses and displacements are determined in an infinite circular cylindrical shell reinforced at its midlength by a single frame. Acting at the ends of a diameter of the ring are two self-equilibrating radial forces and moments. Solutions are obtained using the Donnell shell differential equations, the Love-Reissner shell equations and the Flugge shell equations. The numerical results indicate that the three solutions are in excellent agreement. Stress distributions and displacements in the shell are presented along three generators. They indicate high stresses in the neighborhood of the ring. For the values of the parameters considered, these stresses become negligible at a distance from the ring of approximately 0.15 times the radius of the shell so that the length of shell which acts with the ring is 0.30 times the radius of the shell. Stress and displacement distributions in the circumferential direction are also presented for the shell and the ring. (Author).