A dam is subjected to a linearly varying pressure p = po(1-2). The slice shown is...

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A dam is subjected to a linearly varying pressure p = po(1-2). The slice shown is assumed to be in plane strain. Neglect the body force of the dam, calculate the stress 011, 022, and 012 using the Airy stress function. (a) Write down the expressions for the traction forces acting on the surface OA and OB of the dam in terms of the stresses; (b) Based on (a), write down the boundary conditions on the surfaces OA and OB; (c) Propose a candidate Airy stress function that satisfies compatibility condition; (d) Determine the coefficients in the Airy stress function and hence the stress field in the dam. X2 L P A DAM 0 B → X₁ A dam is subjected to a linearly varying pressure p = po(1-2). The slice shown is assumed to be in plane strain. Neglect the body force of the dam, calculate the stress 011, 022, and 012 using the Airy stress function. (a) Write down the expressions for the traction forces acting on the surface OA and OB of the dam in terms of the stresses; (b) Based on (a), write down the boundary conditions on the surfaces OA and OB; (c) Propose a candidate Airy stress function that satisfies compatibility condition; (d) Determine the coefficients in the Airy stress function and hence the stress field in the dam. X2 L P A DAM 0 B → X₁