Question

62 (1%) Consider a rectangular plate with sides a and b and thickness t, as shown in the figure at left below. a. Biharmonic equation. If we assume an Airy's stress function: Ф(x,y)-p(x'-y'), where p is a constant, will the biharmonic equation be satisfied? Ignore the body forces. b. Stresses. Determine the stresses (σ.σ..). c. Resultant forces & moment. Apply the Saint-Venant's Principle to find the resultant normal and shearing boundary forces as well as resuitant bending moment along all edges of the plate. The senses of the resultants are defined in the figure at right below. d. Planc stress vs plane strain. The solutions to the above questions are valid regardless whether a thin panel (ta or b, which should be modeled as a plane-stress problem) or a thick block (aorb which should be deemed a plane-strain problem). Explain why. jy yb

Answer 1

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