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of d₂ = 0.75in. Aluminum e aluminum is 40 ksi. Assu fely be applied to the stru

of d₂ = 0.75in. Aluminum e aluminum is 40 ksi. Assu fely be applied to the stru

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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Rigid bar ABC is supported by bronze rod (1) and aluminum rod (2), as shown. A concentrated load P is applied to the free end of aluminum rod (3). Bronze rod (1) has an elastic modulus of E₁ = 15,000 ksi and a diameter of d₁ = 0.60 in. Aluminum rod (2) has an elastic modulus of E₂ = 10,000 ksi and a diameter of d₂ = 0.75in. Aluminum rod (3) has a diameter of d3 = 1.00in. The yield strength of the bronze is 48 ksi and the yield strength of the aluminum is 40 ksi. Assume a = 2.5 ft, b = 1.5 ft, L₁= 6 ft, L₂ = 8 ft, and L3 = 3 ft. (a) Determine the magnitude of load P that can safely be applied to the structure if a minimum factor of safety of 1.8 is required. (b) Determine the deflection of point D for the load determined in part (a). (c) The pin used at B has an ultimate shear strength of 60 ksi. If a factor of safety of 3.3 is required for this double shear pin connection, determine the minimum pin diameter that can be used at B. ī Bronze (1) L A a B Aluminum (3) D Aluminum (2) b P L3 L2
Transcribed Image Text:Rigid bar ABC is supported by bronze rod (1) and aluminum rod (2), as shown. A concentrated load P is applied to the free end of aluminum rod (3). Bronze rod (1) has an elastic modulus of E₁ = 15,000 ksi and a diameter of d₁ = 0.60 in. Aluminum rod (2) has an elastic modulus of E₂ = 10,000 ksi and a diameter of d₂ = 0.75in. Aluminum rod (3) has a diameter of d3 = 1.00in. The yield strength of the bronze is 48 ksi and the yield strength of the aluminum is 40 ksi. Assume a = 2.5 ft, b = 1.5 ft, L₁= 6 ft, L₂ = 8 ft, and L3 = 3 ft. (a) Determine the magnitude of load P that can safely be applied to the structure if a minimum factor of safety of 1.8 is required. (b) Determine the deflection of point D for the load determined in part (a). (c) The pin used at B has an ultimate shear strength of 60 ksi. If a factor of safety of 3.3 is required for this double shear pin connection, determine the minimum pin diameter that can be used at B. ī Bronze (1) L A a B Aluminum (3) D Aluminum (2) b P L3 L2
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