The axial assembly consists of a solid 1.01-in-diameter aluminum alloy [E = 8900 ksi, v = 0.33,a = 12.4x 10-6/°F] rod (1) and a solid 1.63-in-diameter bronze [E = 15400 ksi, v= 0.17, a = 7.3 x 10-6/°F] rod (2). Assume L,=15 in., L2=29 in. If the supports at A and Care rigid and the assembly is stress free at 6°F, determine: (a) the normal stresses o1,02 in both rods at 167°F (positive if tensile, negative if compressive). (b) the displacement ug of flange B (positive if to the right, negative to the left). (c) the change in diameter Ad, of the aluminum rod. H B (1) L1 L2

Structural Analysis
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Chapter2: Loads On Structures
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The axial assembly consists of a solid 1.01-in-diameter aluminum alloy [E = 8900 ksi, v = 0.33,a = 12.4x 10-6/°F] rod (1) and a
solid 1.63-in-diameter bronze [E = 15400 ksi, v= 0.17, a = 7.3x 10-6/°F] rod (2). Assume L,=15 in., L2=29 in. If the supports at A and
Care rigid and the assembly is stress free at 6°F, determine:
(a) the normal stresses o1,02 in both rods at 167°F (positive if tensile, negative if compressive).
(b) the displacement ug of flange B (positive if to the right, negative to the left).
(c) the change in diameter Ad, of the aluminum rod.
B
(1)
L1
L2
Answers:
(a) o =
ksi, o2 =
ksi
(b) ug =
in.
(c) Adi
i
in.
Transcribed Image Text:The axial assembly consists of a solid 1.01-in-diameter aluminum alloy [E = 8900 ksi, v = 0.33,a = 12.4x 10-6/°F] rod (1) and a solid 1.63-in-diameter bronze [E = 15400 ksi, v= 0.17, a = 7.3x 10-6/°F] rod (2). Assume L,=15 in., L2=29 in. If the supports at A and Care rigid and the assembly is stress free at 6°F, determine: (a) the normal stresses o1,02 in both rods at 167°F (positive if tensile, negative if compressive). (b) the displacement ug of flange B (positive if to the right, negative to the left). (c) the change in diameter Ad, of the aluminum rod. B (1) L1 L2 Answers: (a) o = ksi, o2 = ksi (b) ug = in. (c) Adi i in.
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