THE EFFECT OF SHEAR DEFORMATIONS ON THE BENDING OF THICK FLANGED CYLINDRICAL SHELLS UNDER INTERNAL PRESSURE
TRW SPACE TECHNOLOGY LABS LOS ANGELES CA LOS ANGELES United States
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A recent problem for which a solution was requested was that of the bending stresses in a thick-walled tube under internal pressure, restrained by heavy integral flanges at its ends and closed by end plates. The arrangement of bolts and the end-plate configuration were such that the flanges could rotate without restraint from the end plates. Although the radius-thickness ratio of the tube was so small that shell theory was almost certainly invalid, it was felt that, in the absence of a more acceptable theory, the inclusion of shear deformation terms in the cylindrical shell and flange equations would yield some useful results. The derivation of the equations used in the investigation is reported as well as an illustrative example. It is interesting to note that for this example shear deformations were relatively unimportant the calculated moment increased about 8 above that calculated from the equations neglecting shear deformations, due to weakening of the flange relative to the cylinder.