Studies in Three-Dimensional Photoelasticity Stress Concentrations in Shafts with Transverse Circular Holes in Tension Relation Between Two- and Three-Dimensional Factors

Abstract

Part I. General problems of technique arising in three‐dimensional photoelastic analysis by means of the frozen stress pattern method are discussed. These include suggestions for loading, slicing, improvement of boundary visibility, a discussion of time stresses, and methods for the determination of the fringe order and fringe value in a model with a static or frozen stress pattern. A number of instructive three‐dimensional stress patterns are shown. Part II. Stress concentration factors for shafts with ratios of r/d equal to 0.0666, 0.323, and 0.164 are determined, r being the radius of the hole, D the diameter of the shaft, and d=D−2r. Part III. A relation is established between two‐ and three‐dimensional factors of stress concentration for a range of r/d which does not exceed 0.5, which is believed to cover the most practical cases. It is shown that the three‐dimensional factors are somewhat greater than the two‐dimensional factors for the same ratio of r/d.