Further Research on the Effect of Test Machine Extentional Rigidity on the Initial Buckling Load of Unreinforced Circular Cylindrical Shells in Axial Compression
Two additional experiments using the single specimen approach described in detail in this report supplement and extend the authors previous research by considering circular cylinders with higher R/t ratios which buckled at a lower percentage of the classical critical load. The shells had R/t ratios of 946 and 1419 and buckled at 43.9 and 24.6 percent of classical, respectively. In all four experiments, 204 tests were conducted. Ranges in test machine extensional stiffness from 589,000 lb/in. to 2400 lb/in. were considered; R/t values ranged from 226-1419 and Pcr /Pcl values from 0.249 to 0.77. L/D ratios were approximately consistant in all cases . The results provide overwhelming evidence that the Tsien criterion is inapplicable in all problems considered. This may be due to the invalidity of the criterion itself or to the inadequacy of the large displacement analysis. The consequences, however, are the same; scatter in experimental results is not due to the influence of test machine rigidity and a new look at the large displacement analysis and the appropriate criterion is needed.