Question: Consider a plane stress problem if Airy's stress function is given by p(x,y) = Axy+Bx + Cxy + Dy + Exy- Fxy +Gy where

Consider a plane stress problem if Airy's stress function is given by

Consider a plane stress problem if Airy's stress function is given by p(x,y) = Axy+Bx + Cxy + Dy + Exy- Fxy +Gy where A, B, C, D, E, F, and G are constants. The beam is fixed supported at A, and having a rectangular cross section Determine the expression of the normal stress a, dy, shear stress Ty. And, the boundary conditions The expression of the normal stress , : ax=2B+2Cy+2Fy^3. The expression of the normal stress oy: ay=2B+2Cy-2Fy13. Tx=-24Fy-120Gy. The expression of the shear stress T: The boundary condition at x-0 is: bdy: = 0 The boundary condition at x=Lis: Lo, dy = 1/4 w/2 2b The boundary condition at x=L is: Txydy=h w/2 b The shear force is zero at: x=0 The shear stress is zero at: tau(xy)=0, only for x=0, at y-c and y+c)

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