A solid aluminum alloy [E=69E=69 GPaGPa; α=23.6×10−6/C∘α=23.6×10-6/C∘] rod (1) is attached rigidly to a solid brass [E=115E=115 GPaGPa; α=18.7×10−6/C∘α=18.7×10-6/C∘] rod (2), as shown in the figure. The compound rod is subjected to a tensile load of P=6.7P=6.7 kNkN. The diameter of each rod is 1111 mmmm. The rods lengths are L1=475L1=475 mmmm and L2=675L2=675 mmmm. Compute the change in temperature required to produce zero horizontal deflection at end C of the compound rod. Asolid 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 = 6.7 kN. The diameter ofeach rod is 11 mm. The rods lengths are L₁ = 475 mm and L₂ = 675 mm. Compute the change in temperature required to producezero horizontal deflection at end C of the compound rod.LL2(1)BPart 1What are the internal forces F₁ and F₂ in rods (1) and (2), respectively? Use the sign convention for internal axial forces discussedin Section 5.3.KNF₁ =iKNF₂ = i2

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Answered: A solid aluminum alloy [E = 69 GPa; a =…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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A solid aluminum alloy [E=69E=69 GPaGPa; α=23.6×10−6/C∘α=23.6×10-6/C∘] rod (1) is attached rigidly to a solid brass [E=115E=115 GPaGPa; α=18.7×10−6/C∘α=18.7×10-6/C∘] rod (2), as shown in the figure. The compound rod is subjected to a tensile load of P=6.7P=6.7 kNkN. The diameter of each rod is 1111 mmmm. The rods lengths are L1=475L1=475 mmmm and L2=675L2=675 mmmm. 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 = 6.7 kN. The diameter of
each rod is 11 mm. The rods lengths are L₁ = 475 mm and L₂ = 675 mm. Compute the change in temperature required to produce
zero horizontal deflection at end C of the compound rod.
L
L2
(1)
B
Part 1
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
F₁ =
i
KN
F₂ = i
2

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