The mechanical system of Fig. P3.6-14 consists of two identical steel rods (A = 40 mm,...

 

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The mechanical system of Fig. P3.6-14 consists of two identical steel rods (A = 40 mm, E = 200 GPa, a = 12 x 106C) and a "rigid" beam AC. The beam is supported by a smooth pin at B. The nuts at A and C are initially tight- ened just enough to remove the slack, leaving the two rods stress-free. (a) Determine the axial stresses induced in rods (1) and (2) if the temperature of both rods is decreased by 50C. (b) Determine the (small) angle 0 through which the beam AC would rotate due to this temperature change. -200 mm 80 mm- I 01 B C "Rigid" (1) (2) 250 mm " The mechanical system of Fig. P3.6-14 consists of two identical steel rods (A = 40 mm, E = 200 GPa, a = 12 x 106C) and a "rigid" beam AC. The beam is supported by a smooth pin at B. The nuts at A and C are initially tight- ened just enough to remove the slack, leaving the two rods stress-free. (a) Determine the axial stresses induced in rods (1) and (2) if the temperature of both rods is decreased by 50C. (b) Determine the (small) angle 0 through which the beam AC would rotate due to this temperature change. -200 mm 80 mm- I 01 B C "Rigid" (1) (2) 250 mm "