Rigid bar ABC is supported by bronze rod (1) and aluminum rod (2), as shown. A concentrated load Pis 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 = 0.45 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= 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 1.7 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 54 ksi. 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 (1) L2 b A B Aluminum |L3 (3) D

Rigid bar ABC is supported by bronze rod (1) and aluminum rod (2), as shown. A concentrated load Pis 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 = 0.45 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= 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 1.7 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 54 ksi. 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 (1) L2 b A B Aluminum |L3 (3) D

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter6: Introduction To Mechanical Properties

Section: Chapter Questions

Problem 6.3P: Compare the engineering and true secant elastic moduli for the natural rubber in Example Problem 6.2...

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Question

Please answer part a b c

Rigid bar ABC is supported by bronze rod (1) and aluminum rod (2), as shown. A concentrated load Pis 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 = 0.45 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= 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 1.7 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 54 ksi. 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
L2
(1)
b
A
B
C
Aluminum
L3
(3)
D

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