The solution to the illustrated two-dimensional cantilever beam problem is proposed using the Airy stress function ∅ = C₁x² + C₂x²y + C₃y³ + C₄y⁵ þ C₅x²y³, where Ci are constants. First determine requirements on the constants so that f satisfies the governing equation. Next find the values of the remaining constants by applying exact pointwise boundary conditions on the top and bottom of the beam and integrated resultant boundary conditions on the ends x = 0 and x = L.