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 = 0.40 in. Aluminum rod (2) has an elastic modulus of E₂ = 10,000 ksi and a diameter of d₂ = 0.70in. 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=8ft, 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 57 ksi. If a factor of safety of 2.7 is required for this double shear pin connection, determine the minimum pin diameter that can be used at B. L₁ Bronze (1) a B Aluminum (3) D Aluminum (2) VP b L3 C

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 = 0.40 in. Aluminum rod (2) has an elastic modulus of E₂ = 10,000 ksi and a diameter of d₂ = 0.70in. 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=8ft, 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 57 ksi. If a factor of safety of 2.7 is required for this double shear pin connection, determine the minimum pin diameter that can be used at B. L₁ Bronze (1) a B Aluminum (3) D Aluminum (2) VP b L3 C

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.10.6P: ,10-6 A prismatic bar with a diameter d0= 20 mm is being compared with a stepped bar of the same...

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