The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 75 GPa] with a cross-sectional area of A = 790 mm2. Bar (2) is a bronze alloy [E = 108 GPa] with a cross-sectional area of A2 = 540 mm?. Assume L1= 2.5 m, L2= 3.0 m, a= 0.5 m, b= 1.7 m, and c= 1.3 m. All bars are unstressed before the load P is applied; however, there is a 3.2-mm clearance in the pin connection at A. If a load of P = 56 kN is applied at B, determine: (a) the normal stresses o1,02, in both bars (1) and (2). (b) the normal strains &1, 82, in bars (1) and (2). (c) determine the downward deflection vA of point A on the rigid bar. (2) (1) L2 L1 A B D Answers: (a) oj = i MPa, o1 = i MPa. (b) E1 = HE, E2 = i HE. (c) VA = i mm.
The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 75 GPa] with a cross-sectional area of A = 790 mm2. Bar (2) is a bronze alloy [E = 108 GPa] with a cross-sectional area of A2 = 540 mm?. Assume L1= 2.5 m, L2= 3.0 m, a= 0.5 m, b= 1.7 m, and c= 1.3 m. All bars are unstressed before the load P is applied; however, there is a 3.2-mm clearance in the pin connection at A. If a load of P = 56 kN is applied at B, determine: (a) the normal stresses o1,02, in both bars (1) and (2). (b) the normal strains &1, 82, in bars (1) and (2). (c) determine the downward deflection vA of point A on the rigid bar. (2) (1) L2 L1 A B D Answers: (a) oj = i MPa, o1 = i MPa. (b) E1 = HE, E2 = i HE. (c) VA = i mm.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
![The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 75 GPa] with a
cross-sectional area of A = 790 mm2. Bar (2) is a bronze alloy [E = 108 GPa] with a cross-sectional area of A2 = 540 mm?. Assume L1=
2.5 m, L,= 3.0 m, a= 0.5 m, b= 1.7 m, and c= 1.3 m. All bars are unstressed before the load P is applied; however, there is a 3.2-mm
clearance in the pin connection at A. If a load of P = 56 kN is applied at B, determine:
(a) the normal stresses o1,02, in both bars (1) and (2).
(b) the normal strains &1, 82, in bars (1) and (2).
(c) determine the downward deflection va of point A on the rigid bar.
(2)
(1)
L2
L1
A
B
D
b
Answers:
(a) oj =
i
MPa, oj =
i
MPa.
( b) ε -
HE, E2 =
i
HE.
(c) VA =
i
mm.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb9423a97-b0cf-4037-8938-e948ecdd4468%2F80728480-690f-40a4-b063-70c5bdaf6c1e%2Fcn8zw3s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 75 GPa] with a
cross-sectional area of A = 790 mm2. Bar (2) is a bronze alloy [E = 108 GPa] with a cross-sectional area of A2 = 540 mm?. Assume L1=
2.5 m, L,= 3.0 m, a= 0.5 m, b= 1.7 m, and c= 1.3 m. All bars are unstressed before the load P is applied; however, there is a 3.2-mm
clearance in the pin connection at A. If a load of P = 56 kN is applied at B, determine:
(a) the normal stresses o1,02, in both bars (1) and (2).
(b) the normal strains &1, 82, in bars (1) and (2).
(c) determine the downward deflection va of point A on the rigid bar.
(2)
(1)
L2
L1
A
B
D
b
Answers:
(a) oj =
i
MPa, oj =
i
MPa.
( b) ε -
HE, E2 =
i
HE.
(c) VA =
i
mm.
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