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Two cylindrical rods, AC made of aluminum and CD made of steel, are joined at C and restrained by rigid supports at A and D. It is given that Ea = 10.4 × 106 psi, Es = 29 × 106 psi, and P = 28 kips. Determine the reactions at A and D. Determine the deflection of point C.

Two cylindrical rods, AC made of aluminum and CD made of steel, are joined at C and restrained by rigid supports at A and D. It is given that Ea = 10.4 × 106 psi, Es = 29 × 106 psi, and P = 28 kips. Determine the reactions at A and D. Determine the deflection of point C.

Elements Of Electromagnetics
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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Two cylindrical rods, AC made of aluminum and CD made of steel, are joined at C and restrained by rigid supports at A and D. It is given that Ea = 10.4 × 106 psi, Es = 29 × 106 psi, and P = 28 kips.

Determine the reactions at A and D.

Determine the deflection of point C.

The image illustrates a structural engineering scenario involving a cylindrical rod placed horizontally within a boundary. The rod is segmented into two portions with different diameters. - The left segment, stretching from point A to point C, consists of an 18-inch section with a diameter of \(1\frac{1}{8}\) inches. - The right segment, from point C to point D, is 10 inches long and has a larger diameter of \(1\frac{5}{8}\) inches. Points B and C are marked on the rod, with dimensions given: - The distance from A to B is 8 inches. - The distance from B to C is 10 inches. - The distance from C to D is also 10 inches. A force, labeled P, acts horizontally at point B along the smaller diameter section of the rod. Additionally, a force of 14 kips (a kip is equivalent to 1000 pounds) is applied horizontally at point D along the larger diameter section. This diagram is likely used to analyze the effects of the forces applied at different sections of the rod, considering the varying diameters and the material properties for structural analysis.
Transcribed Image Text:The image illustrates a structural engineering scenario involving a cylindrical rod placed horizontally within a boundary. The rod is segmented into two portions with different diameters. - The left segment, stretching from point A to point C, consists of an 18-inch section with a diameter of \(1\frac{1}{8}\) inches. - The right segment, from point C to point D, is 10 inches long and has a larger diameter of \(1\frac{5}{8}\) inches. Points B and C are marked on the rod, with dimensions given: - The distance from A to B is 8 inches. - The distance from B to C is 10 inches. - The distance from C to D is also 10 inches. A force, labeled P, acts horizontally at point B along the smaller diameter section of the rod. Additionally, a force of 14 kips (a kip is equivalent to 1000 pounds) is applied horizontally at point D along the larger diameter section. This diagram is likely used to analyze the effects of the forces applied at different sections of the rod, considering the varying diameters and the material properties for structural analysis.
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