ROTATING THIN CYLINDER: EFFECT OF SMALL ERROR IN CIRCULARITY

Theerror-modified.circular, mean-line form is represented by an elliptic profile and equations are developed for bending moment, tensile and shear forces resulting from inertia loading. It is shown that the maximum values o f tensile force and bending moment both occur at the same location ifthe ratio of principal axes lengths is less than, or equal to, 1.09. For a cylinder having a mean-diameter-to-wall-thickness ratio o f one hundred and with a difference in principal axes lengths of 0.1 per cent, the maximum stress is shown to be 1.33 times that in a perfectly circular cylinder. When the difference in the length o f principal axes is increased to 0.4 per cent, this stress intensification factor increases to 1.75.