The pin-connected structure shown in the figure consists of a rigid beam ABCD and two supporting bars. Bar (1) is a bronze alloy [E = 95 GPa] with a cross-sectional area of A₁ = 260 mm². Bar (2) is an aluminum alloy [E = 69 GPa] with a cross-sectional area of A2 = 690 mm². All bars are unstressed before the load P is applied; however, there is a 3-mm clearance in the pin connection at A. Assume L₁ = 2000 mm, a = 1080 mm, b = 610 mm, c = 460 mm, and L₂= 1380 mm. If a load of P = 100 kN is applied at B, determine (a) the normal stresses in both bars (1) and (2). (b) the downward deflection of point A on the rigid bar.
The pin-connected structure shown in the figure consists of a rigid beam ABCD and two supporting bars. Bar (1) is a bronze alloy [E = 95 GPa] with a cross-sectional area of A₁ = 260 mm². Bar (2) is an aluminum alloy [E = 69 GPa] with a cross-sectional area of A2 = 690 mm². All bars are unstressed before the load P is applied; however, there is a 3-mm clearance in the pin connection at A. Assume L₁ = 2000 mm, a = 1080 mm, b = 610 mm, c = 460 mm, and L₂= 1380 mm. If a load of P = 100 kN is applied at B, determine (a) the normal stresses in both bars (1) and (2). (b) the downward deflection of point A on the rigid bar.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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The pin-connected structure shown in the figure consists of a rigid beam ABCD and two supporting bars. Bar (1) is a bronze alloy [E = 95 GPa] with a cross-sectional area of A1 = 260 mm2. Bar (2) is an aluminum alloy [E = 69 GPa] with a cross-sectional area of A2 = 690 mm2. All bars are unstressed before the load P is applied; however, there is a 3-mm clearance in the pin connection at A. Assume L1 = 2000 mm, a = 1080 mm, b = 610 mm, c = 460 mm, and L2 = 1380 mm. If a load of P = 100 kN is applied at B, determine
(a) the normal stresses in both bars (1) and (2).
(b) the downward deflection of point A on the rigid bar.
![The pin-connected structure shown in the figure consists of a rigid beam ABCD and two supporting bars. Bar (1) is a bronze alloy [E =
95 GPa] with a cross-sectional area of A₁ = 260 mm². Bar (2) is an aluminum alloy [E = 69 GPa] with a cross-sectional area of A2 = 690
mm². All bars are unstressed before the load P is applied; however, there is a 3-mm clearance in the pin connection at A. Assume L₁ =
2000 mm, a = 1080 mm, b = 610 mm, c = 460 mm, and L₂ = 1380 mm. If a load of P = 100 kN is applied at B, determine
(a) the normal stresses in both bars (1) and (2).
(b) the downward deflection of point A on the rigid bar.
(1)
L₁
a
b
tc
B
A
Answers:
(a) σ₁ =
0₂ =
(b) VA=
i
i
P
C
MPa
MPa
mm
(2)
D
L2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0340ab0c-e54f-482a-bc54-4a3b868cdaba%2Feb90a900-3702-4e71-8bf9-e8449cb81cea%2Fxmdtff_processed.png&w=3840&q=75)
Transcribed Image Text:The pin-connected structure shown in the figure consists of a rigid beam ABCD and two supporting bars. Bar (1) is a bronze alloy [E =
95 GPa] with a cross-sectional area of A₁ = 260 mm². Bar (2) is an aluminum alloy [E = 69 GPa] with a cross-sectional area of A2 = 690
mm². All bars are unstressed before the load P is applied; however, there is a 3-mm clearance in the pin connection at A. Assume L₁ =
2000 mm, a = 1080 mm, b = 610 mm, c = 460 mm, and L₂ = 1380 mm. If a load of P = 100 kN is applied at B, determine
(a) the normal stresses in both bars (1) and (2).
(b) the downward deflection of point A on the rigid bar.
(1)
L₁
a
b
tc
B
A
Answers:
(a) σ₁ =
0₂ =
(b) VA=
i
i
P
C
MPa
MPa
mm
(2)
D
L2
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