Show that the Airy function:

solves the following cantilever beam problem, as shown in the following figure. As usual for such problems, boundary conditions at the ends (x = 0 and L) should be formulated only in terms of the resultant force system, while at y = ± c the exact pointwise specification should be used. For the case with N = 0, compare the elasticity stress field with the corresponding results from strength of materials theory.

Transcribed Image Text:

o 3P 4c (xy xy- 3c + N 4c