The pin-connected structure consists of a rigid bar ABC, a solid bronze [E = 107 GPa, a = 16.5 x 10-6/°C] rod (1), and a solid aluminum alloy [E = 75 GPa, a = 20.1 x 10-6/°C] rod (2). Bronze rod (1) has a diameter of 24 and aluminum rod (2) has a diameter of 17 mm. The bars are unstressed when the structure is assembled at 24°C. After assembly, the temperature of rod (2) is decreased by 37°C, while the temperature of rod (1) remains constant at 24°C. Determine the normal stresses 0₁, 02 in both rods for this condition (positive if tensile, negative if compressive). 210mm (1) 220mm 480mm (2) 510mm

The axial assembly consists of a solid 1.04-in.-diameter aluminum alloy [E = 10100 ksi, v= 0.3, a = 14.6 × 10-6/°F] rod (1) ar solid 1.66-in-diameter bronze [E = 16800 ksi, v = 0.12, a = 9.3× 10-6/°F] rod (2). Assume L1=14 in., L2=23 in. If the support: A and Care rigid and the assembly is stress free at 5°F, determine: (a) the normal stresses o1,02 in both rods at 167°F (positive if tensile, negative if compressive). (b) the displacement ug of flange B (positive if to the right, negative to the left). (c) the change in diameter Ad, of the aluminum rod. B C (1) L1 L2 Answers: (a) σ i ksi, o2 = i ksi (b) uB = i in. (c) Adı i in.

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Problem 2 14600ksi, apr For the shown structure, AB is made by C83400-red-brass (Ebr 9.8 × 10-6/ °F) and BC is made by 2014-T6-aluminum (Eal 10600ksi, a al = 12.8 × 10-6/°F). AB and BC are joined at the collar B and fixed connected at their ends. The cross sectional area of each member is 1.75 in². If there is no load in the = member when T₁ 50 °F. Now the temperature for both members are increased to T₂ = 120 °F. Determine (1) Reaction forces at fixed end C (2) The average normal stress in the member AB (3) The average normal stress in the member BC (4) Eventually, how far will the collar B be displaced? = = 3 ft 2 ft