a) Evaluate the stiffness matrix for the 2-D element shown in Figure. The coordinates are given in millimeters. Assume plane stress condition. Let ???? = 200 ????????????,? = 0 25 . and ???? = 2 ????????. b) For the element, the nodal displacements are given as . 1 u 3 0 mm = , . 1 v 1 0 mm = , 2 u 2 mm = , . 2 v 0 0 mm = , . 3 u 3 0 mm = , . 3 v 1 0 mm = Determine the element stresses , ? ? ? x y xy and .

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a) Evaluate the stiffness matrix for the 2-D element shown in Figure. The coordinates are given in millimeters. Assume plane stress condition. Let

E = 200 GPa, v = 0.25 and t = 2 mm .

b) For the element, the nodal displacements are given as

u_{l} = 3.0 mm, v_{l} = 1.0 mm, u_{2} = 2 mm, v_{2} = 0.0 mm, u_{3} = 3.0 mm, v_{3} = 1.0 mm

Determine the element stresses

?_{x}, ?_{y}

and

?_{x y}

. (35 P)

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