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1. Equilibrium (10 points): Consider the following stress field in the triangular domain shown with O(0,0,0), A(1, 0, 0), B(0, 2, 0) and unity

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1. Equilibrium (10 points): Consider the following stress field in the triangular domain shown with O(0,0,0), A(1, 0, 0), B(0, 2, 0) and unity depth in the x3 direction: +2 8 T = Ax T = 2 x A X t Taz= B x + Cx T33 = 1/2 (T+ T22) T23 23 = T13=0 a. In the absence of body force, write the equation of equilibrium. b. Write the boundary condition of "no normal stress" on the AB surface. Find constants A, B and C based on a and b. d. Calculate and draw the stress vectors on surfaces OB and OA. e. Find the total boundary forces and their total moments about point O. f. Discuss how the results of e agree with the results of a-c.

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