Three rods of different materials areconnected and placed between rigid supports at4 and D, as shown. Properties for eac

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Three Rods Of Different Materials Areconnected And Placed Between Rigid Supports At4 And D As Shown Properties For Eac 1 (44.49 KiB) Viewed 43 times

Three rods of different materials areconnected and placed between rigid supports at4 and D, as shown. Properties for each of the three rods are given in the accompanying table. The bars are initially unstressed when the structure is assembled at 20°C. After the temperature has been increased to 70°C, determine (a) the normal stresses in the three rods. (b) the force exerted on the rigid supports. (c) thedeflections of joints Band Crelative to rigid support A. Aluminum (1) Cast Iron (2) Bronze(3) L1 - 470 mm L2 - 150 mm L3-350mm A1 - 1600 mm A2 - 3000 mm A3 - 700 mm E1 - 70 GP E2 - 155 GPa E3-100 GPa a1 -22.5x 106°C 12-13.5x 106/C 03- 17.0x 10°C Aluminum (1) Cast Iron (2) Bronze (3) B L L L On a piece of paper, sketch a FBD at joint B. Write an equilibrium equation which relates F1, the force in rod (1), and F2 the force in rod (2). By convention, a tension force is positive, and a compression force is negative. Answer: Oc) L1F1+12F2-0 O e) F1+F2-(0241-a2L2)/(E1 - E») O d) 41F1 - L2F2-0 O b)-F1+F2-0 O a) F1+F2-0 Save for Later Attempts:0 of 3 used Submit Answer Part 2 On a pieceof paper, sketch a FBD atjoint C Write an equilibrium equation which relates F2, the force in rod (2), and F3, the force in rod (3). By convention, a tension force is positive, and a compression force is negative. Answer: