The pin-connected structure consists of a rigid bar ABCD and two axial members. Bar (1) is bronze [E = 110 GPa] with a cross-sectional area of A1 = 520 mm?. Bar (2) is an aluminum alloy [E = 67 GPa] with a cross-sectional area of A2 = 280 mm?. A concentrated load of P = 88 kN acts on the structure at D. Assume L1=800 mm., L2=390 mm., a=510 mm., b=300 mm., and c= 1130 mm. Determine: (a) the normal stresses 01, 02 in both bars (1) and (2). (b) the downward deflection vo of point D on the rigid bar.
The pin-connected structure consists of a rigid bar ABCD and two axial members. Bar (1) is bronze [E = 110 GPa] with a cross-sectional area of A1 = 520 mm?. Bar (2) is an aluminum alloy [E = 67 GPa] with a cross-sectional area of A2 = 280 mm?. A concentrated load of P = 88 kN acts on the structure at D. Assume L1=800 mm., L2=390 mm., a=510 mm., b=300 mm., and c= 1130 mm. Determine: (a) the normal stresses 01, 02 in both bars (1) and (2). (b) the downward deflection vo of point D on the rigid bar.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
The pin-connected structure consists of a rigid bar ABCD and two axial members. Bar (1) is bronze [E = 110 GPa] with a cross-sectional
area of A1 = 520 mm?. Bar (2) is an aluminum alloy [E = 67 GPa] with a cross-sectional area of A2 = 280 mm?. A concentrated load of P
= 88 kN acts on the structure at D. Assume L1=800 mm., L2=390 mm., a=510 mm., b=300 mm., and c= 1130 mm. Determine:
(a) the normal stresses 01, 02 in both bars (1) and (2).
(b) the downward deflection vo of point D on the rigid bar.

Transcribed Image Text:Answers:
(a) σ₁ =
(b) VD=
i
i
MPa, 0₂
mm.
=
M
MPa
![The pin-connected structure consists of a rigid bar ABCD and two axial members. Bar (1) is bronze [E = 110 GPa] with a cross-sectional
area of A₁ = 520 mm². Bar (2) is an aluminum alloy [E = 67 GPa] with a cross-sectional area of A₂ = 280 mm². A concentrated load of P
= 88 kN acts on the structure at D. Assume L₁-800 mm., L2=390 mm., a-510 mm., b=300 mm., and c=1130 mm. Determine:
(a) the normal stresses 0₁, 0₂ in both bars (1) and (2).
(b) the downward deflection vp of point D on the rigid bar.
a
b
(1)
L₁
L2
B
C
C
D
P](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F43cfdb60-e0ae-413e-8e1b-8e7e2ffb6b67%2F053d329e-0dbe-4a8d-b7cf-df5b2e21d921%2F4fixg8s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The pin-connected structure consists of a rigid bar ABCD and two axial members. Bar (1) is bronze [E = 110 GPa] with a cross-sectional
area of A₁ = 520 mm². Bar (2) is an aluminum alloy [E = 67 GPa] with a cross-sectional area of A₂ = 280 mm². A concentrated load of P
= 88 kN acts on the structure at D. Assume L₁-800 mm., L2=390 mm., a-510 mm., b=300 mm., and c=1130 mm. Determine:
(a) the normal stresses 0₁, 0₂ in both bars (1) and (2).
(b) the downward deflection vp of point D on the rigid bar.
a
b
(1)
L₁
L2
B
C
C
D
P
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