A copper [E = 104 GPa, a = 17.1x10-6/°C] rod (2) is placed within a steel [E = 208 GPa, a=113x10-6/°C] tube (1) of the same length. The two components are connected at each end by pins that pass through both the tube and the rod. The outside diameter of the steel tube is D₁ = 88 mm, its inside diameter is d₁ = 69 mm, and its cross-sectional area is A₁ = 2343 mm². The diameter of the solid copper rod is d₂ = 45 mm, and its cross-sectional area is A₂ = 1591 mm². Calculate the normal stress in the copper rod if the temperature of the entire assembly is raised by 40°C. Pin Answer: 02. i Steel Tube (1) Pin MPa Copper Rod (2)

A copper [E = 104 GPa, a = 17.1x10-6/°C] rod (2) is placed within a steel [E = 208 GPa, a=113x10-6/°C] tube (1) of the same length. The two components are connected at each end by pins that pass through both the tube and the rod. The outside diameter of the steel tube is D₁ = 88 mm, its inside diameter is d₁ = 69 mm, and its cross-sectional area is A₁ = 2343 mm². The diameter of the solid copper rod is d₂ = 45 mm, and its cross-sectional area is A₂ = 1591 mm². Calculate the normal stress in the copper rod if the temperature of the entire assembly is raised by 40°C. Pin Answer: 02. i Steel Tube (1) Pin MPa Copper Rod (2)

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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A load P is supported by a structure consisting of rigid bar ABC, two identical solid bronze [E = 12600 ksi] rods, and a solid steel [E = 32100 ksi] rod, as shown. The bronze rods (1) each have a diameter of 0.61 in. and they are symmetrically positioned relative to the center rod (2) and the applied load P. Steel rod (2) has a diameter of 0.42 in. Assume L₁-53 in and L₂=73 in. If all bars are unstressed before the load P is applied, determine the normal stresses in bronze rods (1) and steel rod (2) after a load of P = 21 kips is applied. Answers: 0₁ = i 02 = i L₂ (2) B ksi. ksi.
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A load P is supported by a structure consisting of rigid bar ABC, two identical solid bronze [E = 17200 ksi] rods, and a solid steel [E = 31400 ksi] rod, as shown. The bronze rods (1) each have a diameter of 0.69 in. and they are symmetrically positioned relative to the center rod (2) and the applied load P. Steel rod (2) has a diameter of 0.53 in. Assume L₁=45 in and L₂=67 in. If all bars are unstressed before the load P is applied, determine the normal stresses in bronze rods (1) and steel rod (2) after a load of P = 16 kips is applied. (1) Answers: 01 02 = i i L2 (2) Save for Later B P eTextbook and Media (1) ksi. ksi. L₁ Attempts: 0 of 5 used Submit Answer
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A steel [E = 30,300 ksi; a = 6.7 x 106/°F] pipe column (1) with a cross-sectional area of A₁ = 5.70 in.² is connected at flange B to an aluminum alloy [E = 10,100 ksi; a = 12.7 x 10-6/°F] pipe (2) with a cross-sectional area of A₂ = 4.30 in.². The assembly (shown in the figure) is connected to rigid supports at A and C. It is initially unstressed at a temperature of 90°F. Assume L₁ = 126 in., L₂ = 156 in., P = 34 kips. (a) At what temperature will the normal stress in steel pipe (1) be reduced to zero? (b) Determine the normal stresses (positive if tensile, negative if compressive) in steel pipe (1) and aluminum pipe (2) when the temperature reaches -11°F. A Answers: (a) T= (b) σ₁ = 0₂ = L₁ tel i L2 °F ksi ksi