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Section C: Long Problems Attempt all questions from this section 1- (25 pts) The nodal coordinates and the nodal displacements for some plane stress

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Section C: Long Problems Attempt all questions from this section 1- (25 pts) The nodal coordinates and the nodal displacements for some plane stress elastic element is listed in the following problem. The element is 0.1 m thick. The coordinates and displacements are given in meters. (a) Calculate K(1,1) of the element stiffness matrix (b) Calculate the element stress [16 4 01 D= 106 4 16 0 (N/m) 0 0 6] = N N N3 a1X2y3X3y2 a2x31x13 = a3x12x2Y1 = = = 2A 1 2A 2A (a + bx + cy) (a2 + bx + c2y) (a3 + b3x + C3y) b = y2 y3 C = x3x2 b = y3y1 b3y1 y2 C = X1 X3 C3 = x2x1 x = 2 y = 2 u = 0.003 x2 = 1 y2 = 1 V = 0.001 V = 0 V = -0.003 X3 = 1 y3 = 0 u3 = 0.0015 V3 = 0.0 a 7C Mostly sunny 3

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