Rigid bar ABCD is supported by a pin connection at A and by two axial bars (1) and (2). Bar (1) is a 34-in.-long bronze [E = 14300 ksi, a = 8.4 x 10-6/°F] bar with a cross-sectional area of 1.75 in.². Bar (2) is a 42-in.-long aluminum alloy [E = 10200 ksi, a = 11.9 × 10-6/°F] bar with a cross-sectional area of 2.00 in.². Both bars are unstressed before the load P is applied. Assume L₁=34 in., L₂=42 in., a=38 in., b=52 in., and c=16 in. If a concentrated load of P = 33 kips is applied to the rigid bar at D and the temperature is decreased by 85°F, determine: (a) the normal stresses in bars (1) and (2). (b) the normal strains in bars (1) and (2). (c) the deflection of the rigid bar at point D. (2) B (1) L₁ b C L2 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 8ETSQ
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Rigid bar ABCD is supported by a pin connection at A and by two axial bars (1) and (2). Bar (1) is a 34-in.-long bronze [E = 14300 ksi,
a = 8.4 x 10-6/°F] bar with a cross-sectional area of 1.75 in.². Bar (2) is a 42-in.-long aluminum alloy [E = 10200 ksi, a = 11.9 ×
10-6/°F] bar with a cross-sectional area of 2.00 in.². Both bars are unstressed before the load P is applied. Assume L₁=34 in., L₂=42
in., a=38 in., b=52 in., and c=16 in. If a concentrated load of P = 33 kips is applied to the rigid bar at D and the temperature is
decreased by 85°F, determine:
(a) the normal stresses in bars (1) and (2).
(b) the normal strains in bars (1) and (2).
(c) the deflection of the rigid bar at point D.
(2)
A
B
a
(1)
L₁
b
C
L2
D
Transcribed Image Text:Rigid bar ABCD is supported by a pin connection at A and by two axial bars (1) and (2). Bar (1) is a 34-in.-long bronze [E = 14300 ksi, a = 8.4 x 10-6/°F] bar with a cross-sectional area of 1.75 in.². Bar (2) is a 42-in.-long aluminum alloy [E = 10200 ksi, a = 11.9 × 10-6/°F] bar with a cross-sectional area of 2.00 in.². Both bars are unstressed before the load P is applied. Assume L₁=34 in., L₂=42 in., a=38 in., b=52 in., and c=16 in. If a concentrated load of P = 33 kips is applied to the rigid bar at D and the temperature is decreased by 85°F, determine: (a) the normal stresses in bars (1) and (2). (b) the normal strains in bars (1) and (2). (c) the deflection of the rigid bar at point D. (2) A B a (1) L₁ b C L2 D
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ISBN:
9781111988609
Author:
Charles Gilmore
Publisher:
Cengage Learning