An aluminum alloy [E = 10,000 ksi; σY = 40 ksi] pipe (1) is connected to a bronze [E = 16,000 ksi; σY = 45 ksi] pipe at flange B. The pipes are attached to rigid supports at A and C. Pipe (1) has an outside diameter of 2.250 in., a wall thickness of 0.25 in., and a length of L1 = 9 ft. Pipe (2) has an outside diameter of 4.55 in., a wall thickness of 0.24

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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An aluminum alloy [E = 10,000 ksi; σY = 40 ksi] pipe (1) is connected to a bronze [E = 16,000 ksi; σY = 45 ksi] pipe at flange B.  The pipes are attached to rigid supports at A and C.  Pipe (1) has an outside diameter of 2.250 in., a wall thickness of 0.25 in., and a length of L1 = 9 ft.  Pipe (2) has an outside diameter of 4.55 in., a wall thickness of 0.24 in., and a length of L2 = 15 ft.  If a minimum factor of safety of 1.8 is required for each pipe, determine:
(a) the maximum load P that may be applied at flange B.
(b) the deflection of flange B at the load determined in part (a). Deflection to the right is positive.

An aluminum alloy [E = 10,000 ksi; ay = 40 ksi] pipe (1) is connected to a bronze [E = 16,000 ksi; Oy = 45 ksi] pipe at flange B. The pipes
are attached to rigid supports at A and C. Pipe (1) has an outside diameter of 2.250 in., a wall thickness of 0.25 in., and a length of L₁ = 9
ft. Pipe (2) has an outside diameter of 4.55 in., a wall thickness of 0.24 in., and a length of L₂ = 15 ft. If a minimum factor of safety of 1.8
is required for each pipe, determine:
(a) the maximum load P that may be applied at flange B.
(b) the deflection of flange B at the load determined in part (a). Deflection to the right is positive.
(1)
C
L₂
P←
4₁
Answer:
(a) P = i
3
(b) ug = 1
B
kips
in.
Transcribed Image Text:An aluminum alloy [E = 10,000 ksi; ay = 40 ksi] pipe (1) is connected to a bronze [E = 16,000 ksi; Oy = 45 ksi] pipe at flange B. The pipes are attached to rigid supports at A and C. Pipe (1) has an outside diameter of 2.250 in., a wall thickness of 0.25 in., and a length of L₁ = 9 ft. Pipe (2) has an outside diameter of 4.55 in., a wall thickness of 0.24 in., and a length of L₂ = 15 ft. If a minimum factor of safety of 1.8 is required for each pipe, determine: (a) the maximum load P that may be applied at flange B. (b) the deflection of flange B at the load determined in part (a). Deflection to the right is positive. (1) C L₂ P← 4₁ Answer: (a) P = i 3 (b) ug = 1 B kips in.
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