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
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 2.4.17P: A bimetallic bar (or composite bar) of square cross sec lion with dimensions 2b X lb is construe ted...
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F61c55619-507b-4508-8a12-67ff6ddb1109%2F9dafe533-f092-4610-a7a9-a0a23a297966%2Fu4e1gr9_processed.png&w=3840&q=75)
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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