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A solid aluminum alloy [E=69 GPa; α=23.6×10−6/C∘] rod (1) is attached rigidly to a solid brass [E=115 GPa; α=18.7×10−6/C∘] rod (2), as shown in the figure.  The compound rod is subjected to a tensile load of P=5.3 kN.  The diameter of each rod is 11 mm.  The rods lengths are L1=507 mm and L2=705 mm.  Compute the change in temperature required to produce zero horizontal deflection at end C of the compound rod.

A solid aluminum alloy [E=69 GPa; α=23.6×10−6/C∘] rod (1) is attached rigidly to a solid brass [E=115 GPa; α=18.7×10−6/C∘] rod (2), as shown in the figure.  The compound rod is subjected to a tensile load of P=5.3 kN.  The diameter of each rod is 11 mm.  The rods lengths are L1=507 mm and L2=705 mm.  Compute the change in temperature required to produce zero horizontal deflection at end C of the compound rod.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A solid aluminum alloy [E=69 GPa; α=23.6×10−6/C∘] rod (1) is attached rigidly to a solid brass [E=115 GPa; α=18.7×10−6/C∘] rod (2), as shown in the figure.  The compound rod is subjected to a tensile load of P=5.3 kN.  The diameter of each rod is 11 mm.  The rods lengths are L1=507 mm and L2=705 mm.  Compute the change in temperature required to produce zero horizontal deflection at end C of the compound rod.

 

A solid aluminum alloy [E = 69 GPa; a = 23.6 x 10-6/°C] rod (1) is attached rigidly to a solid brass [E = 115 GPa; a = 18.7 x 10-6°C] rod (2), as shown in the figure. The compound rod is subjected to a tensile load of P = 5.3 kN. The diameter of each rod is 11 mm. The rods lengths are L₁ = 507 mm and L₂ = 705 mm. Compute the change in temperature required to produce zero horizontal deflection at end C of the compound rod. L₁ Part 1 F₁ = F₂ = Part 2 What are the internal forces F₁ and F₂ in rods (1) and (2), respectively? Use the sign convention for internal axial forces discussed in Section 5.3. kN A = kN Determine the cross-sectional area for the rods. (1) B mm² 12₂ (2) P
Transcribed Image Text:A solid aluminum alloy [E = 69 GPa; a = 23.6 x 10-6/°C] rod (1) is attached rigidly to a solid brass [E = 115 GPa; a = 18.7 x 10-6°C] rod (2), as shown in the figure. The compound rod is subjected to a tensile load of P = 5.3 kN. The diameter of each rod is 11 mm. The rods lengths are L₁ = 507 mm and L₂ = 705 mm. Compute the change in temperature required to produce zero horizontal deflection at end C of the compound rod. L₁ Part 1 F₁ = F₂ = Part 2 What are the internal forces F₁ and F₂ in rods (1) and (2), respectively? Use the sign convention for internal axial forces discussed in Section 5.3. kN A = kN Determine the cross-sectional area for the rods. (1) B mm² 12₂ (2) P
Part 3 If there were no temperature change, what would be the elongations S₁,p and $2,p of rods (1) and (2), respectively, due to the load P? $₁.p = 82.p = Part 4 UCP = If there were no temperature change, what would be the magnitude of the horizontal deflection at end C of the compound rod due to load P? Part 5 mm mm mm °C Compute the change in temperature required to produce zero horizontal deflection at end C of the compound rod. Enter a positive value for a temperature increase, or a negative value for a temperature decrease. AT =
Transcribed Image Text:Part 3 If there were no temperature change, what would be the elongations S₁,p and $2,p of rods (1) and (2), respectively, due to the load P? $₁.p = 82.p = Part 4 UCP = If there were no temperature change, what would be the magnitude of the horizontal deflection at end C of the compound rod due to load P? Part 5 mm mm mm °C Compute the change in temperature required to produce zero horizontal deflection at end C of the compound rod. Enter a positive value for a temperature increase, or a negative value for a temperature decrease. AT =
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