Five rectangular elements are used to model a plane beam under pure bending. The element in the middle has nodal displacements as shown in the figure. Using the bilinear interpolation scheme, calculate the shear strain along the edge AB and compare it with the exact shear strain.

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u (x,y) = ag + a1 x + a2y + a3Xy v(x, y) = Po + p1 x + P2y + P3.xy k 1m 1m C B ka a=1mm Original element Deformed element