The axial assembly consists of a solid 1.01-in.-diameter aluminum alloy [E = 9000 ksi, v = 0.32, a = 13× 10-6/ºF] rod (1) and a solid 1.4-in-diameter bronze [E = 15600 ksi, v = 0.17, a = 9× 10-6/°F]rod (2). Assume L1=15 in., L2=23 in. If the supports at A and C are rigid and the assembly is stress free at 8°F, determine: (a) the normal stresses o ,02 in both rods at 177°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. A B C (1) (2) L1 L2 Answers: ( a) σ1 i ksi, o2 = ksi (b) uB = i in. ( c) Δd i in.

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 = 9000 ksi, v = 0.32, a = 13× 10-6/°F] rod (1) and a
solid 1.4-in.-diameter bronze [E = 15600 ksi, v = 0.17,a = 9× 10-6/°F] rod (2). ASsume L1=15 in., L2=23 in. If the supports at A and C
are rigid and the assembly is stress free at 8°F, determine:
(a) the normal stresses o1,02 in both rods at 177°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
C
(1)
(2)
L1
L2
Answers:
( a) σ1
i
ksi, o2 =
i
ksi
(b) UB =
i
in.
(c) Adı =
in.
i
Transcribed Image Text:The axial assembly consists of a solid 1.01-in.-diameter aluminum alloy [E = 9000 ksi, v = 0.32, a = 13× 10-6/°F] rod (1) and a solid 1.4-in.-diameter bronze [E = 15600 ksi, v = 0.17,a = 9× 10-6/°F] rod (2). ASsume L1=15 in., L2=23 in. If the supports at A and C are rigid and the assembly is stress free at 8°F, determine: (a) the normal stresses o1,02 in both rods at 177°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 C (1) (2) L1 L2 Answers: ( a) σ1 i ksi, o2 = i ksi (b) UB = i in. (c) Adı = in. i
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