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 = 106 GPa] with a cross-sectional area of A1 = 210 mm2. Bar (2) is an aluminum alloy [E = 71 GPa] with a cross-sectional area of A2 = 610 mm2. All bars are unstressed before the load P is applied; however, there is a 4-mm clearance in the pin connection at A. Assume L1 = 2100 mm, a = 1100 mm, b = 650 mm, c = 500 mm, and L2 = 1430 mm. If a load of P = 127 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 = 106 GPa] with a cross-sectional area of A1 = 210 mm2. Bar (2) is an aluminum alloy [E = 71 GPa] with a cross-sectional area of A2 = 610 mm2. All bars are unstressed before the load P is applied; however, there is a 4-mm clearance in the pin connection at A. Assume L1 = 2100 mm, a = 1100 mm, b = 650 mm, c = 500 mm, and L2 = 1430 mm. If a load of P = 127 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 = 106 GPa] with a cross-sectional area of A1 = 210 mm2. Bar (2) is an aluminum alloy [E = 71 GPa] with a cross-sectional area of A2 = 610 mm2. All bars are unstressed before the load P is applied; however, there is a 4-mm clearance in the pin connection at A. Assume L1 = 2100 mm, a = 1100 mm, b = 650 mm, c = 500 mm, and L2 = 1430 mm. If a load of P = 127 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 =
106 GPa] with a cross-sectional area of A₁ = 210 mm². Bar (2) is an aluminum alloy [E = 71 GPa] with a cross-sectional area of A₂ = 610
mm². All bars are unstressed before the load P is applied; however, there is a 4-mm clearance in the pin connection at A. Assume L₁ =
2100 mm, a = 1100 mm, b = 650 mm, c = 500 mm, and L₂ = 1430 mm. If a load of P = 127 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)
a
b
B
A
Answers:
(a) σ₁ =
0₂ =
i
I
i
i
(b) VA=
MPa
MPa
mm
(2)
L2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feb6737e2-e510-46df-b80a-9e409938cdde%2Fe156dc2b-0f32-45ba-a9c5-116a1dd0266e%2Fverg2qr_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 =
106 GPa] with a cross-sectional area of A₁ = 210 mm². Bar (2) is an aluminum alloy [E = 71 GPa] with a cross-sectional area of A₂ = 610
mm². All bars are unstressed before the load P is applied; however, there is a 4-mm clearance in the pin connection at A. Assume L₁ =
2100 mm, a = 1100 mm, b = 650 mm, c = 500 mm, and L₂ = 1430 mm. If a load of P = 127 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)
a
b
B
A
Answers:
(a) σ₁ =
0₂ =
i
I
i
i
(b) VA=
MPa
MPa
mm
(2)
L2
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