Problem 1 If an Airy Stress Function is given by (Cos[x]+ y) a. What are the stress components zx and zy? b. What are the stress components xx yy, xy? c. If the loading is Plane Stress what is ,? c. If the loading is Plane Strain what is ? Problem 2 In class lecture we discussed the stress function Plecture == C50x5+C41 x y +C32 x y+C23x y +C 14 x y + Cos y +C40 x+ in detail. C31x3y+C22x y+C13 x y + C04 y+C30 x + C x y+C2 y+C03 y +C20 x+C11xy+C02 y Using the same values for the constants C40, C31, C22, C11, C13, and C04, the stress function Passignment = C40x+C31 y +C22 x y + Cxy+C13 x y+C04 YA Solves a very similar problem. Draw the Free Body Diagram including coordinate axes (origin and directions) of the beam loading corresponding to this stress function. Problem 3 As shown below, the beam -b < y a. Using the approach discussed in lecture the correct general form of the stress function (6th degree) is given below. Using the concepts discussed in lecture explain why this is so. = Cx+Cxy+C3y+C4x +C5 xy+C6 x y + C7 y + C8 x + C9 x y+C10 x y+C 11 y+C 12 y+C13x+ C14xy+C15x3y+C16 x y + C17 y+C 18 y +C19 X6 + C20 y +C21 x y + C22 x y + C23 x y + C24 x y + C 25 y b. Find the stress components xx, yy, and oxy. When giving your final answers expand all terms and leave no parenthesis. For example, write xy + xy notxy(1+y).