Bronze rod has

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 2.3.1P: The length of the end segments of the bar (see figure) is 20 in. and the length of the prismatic...
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Rigid bar ABC is supported by bronze rod and aluminum rod as shown in the figure. A concentrated load P is applied to the free end of aluminum rod (3). Bronze rod has an elastic modulus of 15,000ksi and a diameter of 0.65in. Aluminum rod (2) has an elastic modulus of 10,000ksi and a diameter of 0.85in. Aluminum rod (3) has a diameter of 1.20in.The yield strength of the bronze is 52ksi, and the yield strength of the aluminum is 42ksi.

a. Determine the magnitude of load P that can safely be applied to the structure if a minimum factor of safety of 1.70 is required.
b. Determine the deflection of point D for the load determined in question (a).
c. The pin used at B has an ultimate shear strength of 56ksi. If a factor of safety of 3.0 is required for this double shear pin connection, determine the minimum pin diameter that can be used at B.

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Rigid bar ABC is supported by bronze rod and aluminum rod as shown in the figure. A concentrated load
Pis applied to the free end of aluminum rod (3). Bronze rod has an elastic modulus of 15,000ksi and a diameter
of 0.65in. Aluminum rod (2) has an elastic modulus of 10,000ksi and a diameter of 0.85in. Aluminum rod (3) has
a diameter of 1.20in. The yield strength of the bronze is 52ksi, and the yield strength of the aluminum is 42ksi.
a. Determine the magnitude of load P that can safely be applied to the structure if a minimum factor of
safety of 1.70 is required.
b. Determine the deflection of point D for the load detemined in question (a).
c. The pin used at B has an ultimate shear strength of 56ksi. If a factor of safety of 3.0 is required for
this double shear pin connection, determine the minimum pin diameter that can be used at B.
Aluminum
(2)
Bronze
8 ft
(1)
6 ft
2.5 ft
1.5 ft-
A
B
Aluminum
(3)
3 ft
D
Transcribed Image Text:Rigid bar ABC is supported by bronze rod and aluminum rod as shown in the figure. A concentrated load Pis applied to the free end of aluminum rod (3). Bronze rod has an elastic modulus of 15,000ksi and a diameter of 0.65in. Aluminum rod (2) has an elastic modulus of 10,000ksi and a diameter of 0.85in. Aluminum rod (3) has a diameter of 1.20in. The yield strength of the bronze is 52ksi, and the yield strength of the aluminum is 42ksi. a. Determine the magnitude of load P that can safely be applied to the structure if a minimum factor of safety of 1.70 is required. b. Determine the deflection of point D for the load detemined in question (a). c. The pin used at B has an ultimate shear strength of 56ksi. If a factor of safety of 3.0 is required for this double shear pin connection, determine the minimum pin diameter that can be used at B. Aluminum (2) Bronze 8 ft (1) 6 ft 2.5 ft 1.5 ft- A B Aluminum (3) 3 ft D
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