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 = 15000 ksi, α=α= 9.2 × 10−6/°F] bar with a cross-sectional area of 1.75 in.2. Bar (2) is a 42-in.-long aluminum alloy [E = 10300 ksi, α=α= 11.9 × 10−6/°F] bar with a cross-sectional area of 2.25 in.2. Both bars are unstressed before the load P is applied. Assume L1=34 in., L2=42 in., a=30 in., b=42 in., and c=16 in. If a concentrated load of P = 27 kips is applied to the rigid bar at D and the temperature is decreased by 120°F, determine: Part 7Determine the normal strain in bars (1) and (2). Use positive if tensile, negative if compressive.Answers: &₁ =Part 8Answer: vc=Determine the deflection of the rigid bar ABCD at point C. A positive deflection is down.Part 9με, ἐξ =Answer: VD=in.με.Determine the deflection of the rigid bar ABCD at point D. A positive deflection is down.in. 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 = 15000 ksi, a = 9.2 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 = 10300 ksi, a = 11.9 × 10-6/°F] bar with a cross-sectional area of 2.25 in.².Both bars are unstressed before the load P is applied. Assume L₁=34 in., L₂=42 in., a=30 in., b-42 in., andc=16 in. If a concentrated load of P = 27 kips is applied to the rigid bar at D and the temperature isdecreased by 120°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.a(1)BL₁b(2)сL2DP

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Answered: Rigid bar ABCD is supported by a pin…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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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 = 15000 ksi, α=α= 9.2 × 10⁻⁶/°F] bar with a cross-sectional area of 1.75 in.². Bar (2) is a 42-in.-long aluminum alloy [E = 10300 ksi, α=α= 11.9 × 10⁻⁶/°F] bar with a cross-sectional area of 2.25 in.². Both bars are unstressed before the load P is applied. Assume L₁=34 in., L₂=42 in., a=30 in., b=42 in., and c=16 in. If a concentrated load of P = 27 kips is applied to the rigid bar at D and the temperature is decreased by 120°F, determine:

Part 7
Determine the normal strain in bars (1) and (2). Use positive if tensile, negative if compressive.
Answers: &₁ =
Part 8
Answer: vc=
Determine the deflection of the rigid bar ABCD at point C. A positive deflection is down.
Part 9
με, ἐξ =
Answer: VD=
in.
με.
Determine the deflection of the rigid bar ABCD at point D. A positive deflection is down.
in.

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 = 15000 ksi, a = 9.2 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 = 10300 ksi, a = 11.9 × 10-6/°F] bar with a cross-sectional area of 2.25 in.².
Both bars are unstressed before the load P is applied. Assume L₁=34 in., L₂=42 in., a=30 in., b-42 in., and
c=16 in. If a concentrated load of P = 27 kips is applied to the rigid bar at D and the temperature is
decreased by 120°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.
a
(1)
B
L₁
b
(2)
с
L2
D
P

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