The cantilever beam under tension, bending or flexure at infinity

1573-2681

Springer Online Journal Archives 1860-2000

Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics

Physics

Abstract A novel technique, the method of projection, is applied to the plane strain problems of determining the tractions, and stress intensity factors, at the fixed end of a cantilever beam under tension, bending or flexure at infinity. The method represents a useful alternative to the integral equation method of Erdogan, Gupta and Cook, and possesses certain advantages; in particular it is much easier to extend the present method to the more difficult dynamics case. An unusual feature of the method is that the required tractions are expanded as a series whose terms have the natural role of displacements rather than stresses.

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