1Example of Solving a Two Dimensional Elasticity Problem Using Airy Stress FunctionStarting from 45342233241ydxydyxdyxdxd++++=φ34232231ycxycyxcxc++++32123221ayaxaybxybxb++++++find the stresses, yyxx,σσand xyτfor the following beam problem. Assume plane stress and satisfy the boundary conditions on the left and right edges at least globally. a)Write the boundary conditions locally on top and bottom edge. Write the boundary conditions globally on the left and right edges.b)Find the expressions for the stresses in terms of the constants.c)Apply all boundary conditions and 04=φ∇to find the constants in φ.d)Write the expression for the stresses.e)Write the expression for the strains.f)Find the expressions for the displacements.y x 2h t
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