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 = 15300 ksi, a = 8.5 x 10-6/°F] bar with a cross-sectional area of 1.50 in.?. Bar (2) is a 42-in.-long aluminum alloy [E = 10000 ksi, a = 12.1 x 10-6/°F] bar with a cross-sectional area of 2.50 in.?. Both bars are unstressed before the load Pis applied. Assume L1=34 in., L2=42 in., a=34 in., b=50 in., and c=14 in. If a concentrated load of P= 23 kips is applied to the rigid bar at Dand the temperature is decreased by 80°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) L2 B D L1 (1)
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 = 15300 ksi, a = 8.5 x 10-6/°F] bar with a cross-sectional area of 1.50 in.?. Bar (2) is a 42-in.-long aluminum alloy [E = 10000 ksi, a = 12.1 x 10-6/°F] bar with a cross-sectional area of 2.50 in.?. Both bars are unstressed before the load Pis applied. Assume L1=34 in., L2=42 in., a=34 in., b=50 in., and c=14 in. If a concentrated load of P= 23 kips is applied to the rigid bar at Dand the temperature is decreased by 80°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) L2 B D L1 (1)
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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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 = 15300 ksi,
a = 8.5 x 10-6/°F] bar with a cross-sectional area of 1.50 in.?. Bar (2) is a 42-in.-long aluminum alloy [E = 10000 ksi, a = 12.1 x
10-6/°F] bar with a cross-sectional area of 2.50 in.2. Both bars are unstressed before the load P is applied. Assume L1=34 in., L2=42
in., a=34 in., b=50 in., and c=14 in. If a concentrated load of P = 23 kips is applied to the rigid bar at D and the temperature is
decreased by 80°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)
L2
B
C
D
L1
(1)
Using a FBD of the beam, assuming members in tension, relate the force in the members and the applied force P by summing
moments about the pin at A. Assume counterclockwise is positive in writing the equation.
Answer: (
i
in.) F1 +( i
in.) F2 +( i
in.)
(23 kips) = 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F88641fe9-45b3-4801-8c38-6449506d99cf%2Fc8b82a98-e92f-43ee-9668-0e2eab6f9e80%2F93ghjy2_processed.jpeg&w=3840&q=75)
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 = 15300 ksi,
a = 8.5 x 10-6/°F] bar with a cross-sectional area of 1.50 in.?. Bar (2) is a 42-in.-long aluminum alloy [E = 10000 ksi, a = 12.1 x
10-6/°F] bar with a cross-sectional area of 2.50 in.2. Both bars are unstressed before the load P is applied. Assume L1=34 in., L2=42
in., a=34 in., b=50 in., and c=14 in. If a concentrated load of P = 23 kips is applied to the rigid bar at D and the temperature is
decreased by 80°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)
L2
B
C
D
L1
(1)
Using a FBD of the beam, assuming members in tension, relate the force in the members and the applied force P by summing
moments about the pin at A. Assume counterclockwise is positive in writing the equation.
Answer: (
i
in.) F1 +( i
in.) F2 +( i
in.)
(23 kips) = 0.
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