Abstract
The stress distribution in a rectangular plate of finite width due to an interference fit pin, obtained from two dimensional photoelastic models, is compared with the stress distribution in a circular plate of outer diameter equal to the minor axis of the plate. For ratios of hole diameter to plate width (D/W) of less than 0·6 it is shown that the Lamé theory for the circular plate sensibly predicts the principal stresses on the hole boundary of the rectangular plate. For higher values of D/W the Lamé equations underestimate the radial stress and over-estimate the hoop stress on the hole boundary, although the principal stress difference is predicted with reasonable accuracy up to D/W = 0·8.
The major discrepancy between the two distributions occurs at the edge of the plate, where the hoop (or tangential) stress for the rectangular plate is considerably higher than for the circular plate.
Finally the effect of end shape is discussed and it is shown that although the stress distribution across the transverse axis of the plate approximates more closely to the Lamé solution for square and circular ended plates, the maximum principal stress difference at the hole boundary no longer occurs at this section but moves round the hole boundary in the direction of the foreshortened end.
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