Stress Concentration Factors in T-Heads

摘要

Two simple formulae are presented which predict stress concentration factors applicable to a two-dimensional symmetrical T-head configuration. This configuration consists of a deep head joined to a shank by fillet radii. The independent equations that predict stress concentration factors for the same geometry are derived for two different loading conditions. In one instance, a tensile force is applied to the shank end of the T-shape. Equilibrium of forces is attained by supporting the bottom edge of the head section, resulting in the shank section being pulled in tension. In the second instance, a compressive load is applied to the top edge of the head section while the configuration is again supported at the bottom edge. Thus, only the head section is stressed and in a compressive manner. Because the analysis is not exact, the magnitudes of the stress concentration factors resulting from the predictive equations appear to be overly conservative at some ranges of the geometry parameter ratios. Therefore, an arbitrary 'limit of application', as it is termed in the text, is recommended when using these equations. Again, because of the inexactness of the analysis, experimental stress concentration factors are indirectly obtained for the first loading condition and directly obtained for the second loading condition mentioned above. These data were obtained for several geometric ratios of the T-head configuration and compared to the corresponding predicted values.