The bending stresses in thin circular plates having a single eccentric circular hole and small deflections are reported. The plates can have any mixture of clamped and simply supported boundaries, and can be subjected to a concentrated force uniformly distributed round the inner boundary, moments about two perpendicular axes, or uniform pressure on the plate surface. A previous paper (1)∗ has described the method of analysis using bipolar co-ordinates, and has given values for deflection and slope coefficients for varying diameter ratios and eccentricities under the loads described above. The present paper discusses the stresses found in the plates under the same conditions.
Get full access to this article
View all access options for this article.
References
1.
OllertonE.‘The deflection of a thin circular plate with an eccentric circular hole’, J. Strain Analysis197511, (No 2), 107–124.
2.
JefferyG. B.‘Plane stress and plane strain in bi-polar coordinates’, Phil. Trans. A 1920, 221, 265–293.
3.
CokerE. G.FilonL. N. G.A treatise on photoelasticity1931 (Cambridge University Press).
4.
RoarkR. J.Formulas for stress and strain1965 (McGraw-Hill).
5.
Den HartogJ. P.Advanced strength of materials1952 (McGraw-Hill).
