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Problem 5: The aluminum and steel pipes shown in the figure are fastened to rigid supports at ends A and B and to a rigid plate C at their junction. The aluminum pipe is twice as long as the steel pipe that has a length L = 400 mm. Two equal and symmetrically placed loads P = 30 kN act on the plate at C. (a) Determine the stresses ?a and ?s in the aluminum and steel pipes, respectively, and the movement of the rigid plate C. (b) If the temperature of both rods is raised by 40°C, determine the stresses ?a and ?s in the aluminum and steel pipes, respectively, and the movement of the rigid plate C. The cross-sectional area of the aluminum pipe Aa = 500 mm² and of the steel pipe As = 60 mm², modulus of elasticity of aluminum Eal = 70 GPa, and modulus of elasticity of steel Est = 210 GPa, coefficient of linear expansion of steel ?st = 12(10^-6)/°C, and ?al = 23(10^-6)/°C.

          Problem 5: The aluminum and steel pipes shown in the figure are fastened to rigid supports at ends A and B and to a rigid plate C at their junction. The aluminum pipe is twice as long as the steel pipe that has a length L = 400 mm. Two equal and symmetrically placed loads P = 30 kN act on the plate at C. (a) Determine the stresses ?a and ?s in the aluminum and steel pipes, respectively, and the movement of the rigid plate C. (b) If the temperature of both rods is raised by 40°C, determine the stresses ?a and ?s in the aluminum and steel pipes, respectively, and the movement of the rigid plate C. The cross-sectional area of the aluminum pipe Aa = 500 mm² and of the steel pipe As = 60 mm², modulus of elasticity of aluminum Eal = 70 GPa, and modulus of elasticity of steel Est = 210 GPa, coefficient of linear expansion of steel ?st = 12(10^-6)/°C, and ?al = 23(10^-6)/°C.

Problem 5: The aluminum and steel pipes shown in the figure are fastened to rigid supports at ends A and B and to a rigid plate C at their junction. The aluminum pipe is twice as long as the steel pipe that has a length L = 400 mm. Two equal and symmetrically placed loads P = 30 kN act on the plate at C. (a) Determine the stresses ?a and ?s in the aluminum and steel pipes, respectively, and the movement of the rigid plate C. (b) If the temperature of both rods is raised by 40°C, determine the stresses ?a and ?s in the aluminum and steel pipes, respectively, and the movement of the rigid plate C. The cross-sectional area of the aluminum pipe Aa = 500 mm² and of the steel pipe As = 60 mm², modulus of elasticity of aluminum Eal = 70 GPa, and modulus of elasticity of steel Est = 210 GPa, coefficient of linear expansion of steel ?st = 12(10^-6)/°C, and ?al = 23(10^-6)/°C.

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