The pin-connected structure consists of a rigid bar ABCD and two axial members. Bar (1) is bronze [E = 101 GPa] v area of A₁ = 580 mm². Bar (2) is an aluminum alloy [E = 75 GPa] with a cross-sectional area of A2 = 350 mm². A con = 57 kN acts on the structure at D. Assume L₁-780 mm., L₂-390 mm., a-690 mm., b-360 mm., and c-1160 mm. D (a) the normal stresses 0₁, 0₂ in both bars (1) and (2). (b) the downward deflection vp of point D on the rigid bar. b Answers: (a) σ₁ (b) VD = i = MI (1) L₁ L2 2 A B C MPa, 0₂ = mm. i D MPa
The pin-connected structure consists of a rigid bar ABCD and two axial members. Bar (1) is bronze [E = 101 GPa] v area of A₁ = 580 mm². Bar (2) is an aluminum alloy [E = 75 GPa] with a cross-sectional area of A2 = 350 mm². A con = 57 kN acts on the structure at D. Assume L₁-780 mm., L₂-390 mm., a-690 mm., b-360 mm., and c-1160 mm. D (a) the normal stresses 0₁, 0₂ in both bars (1) and (2). (b) the downward deflection vp of point D on the rigid bar. b Answers: (a) σ₁ (b) VD = i = MI (1) L₁ L2 2 A B C MPa, 0₂ = mm. i D MPa
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![The pin-connected structure consists of a rigid bar ABCD and two axial members. Bar (1) is bronze [E = 101 GPa] with a cross-sectional
area of A₁ = 580 mm². Bar (2) is an aluminum alloy [E = 75 GPa] with a cross-sectional area of A₂ = 350 mm². A concentrated load of P
= 57 kN acts on the structure at D. Assume L₁-780 mm., L₂-390 mm., a-690 mm., b=360 mm., and c=1160 mm. Determine:
(a) the normal stresses 0₁, 0₂ in both bars (1) and (2).
(b) the downward deflection VD of point D on the rigid bar.
b
Answers:
(a) σ₁ =
(b) VD- i
i
(1)
L₁
L2
(2)
B
MPa, 0₂ =
mm.
i
D
MPa](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1484a93e-f246-4737-a3d1-e468bf3ade09%2Fc34fc86f-2c69-4f55-aef4-f51171e32f40%2Fll7ugbv_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 = 101 GPa] with a cross-sectional
area of A₁ = 580 mm². Bar (2) is an aluminum alloy [E = 75 GPa] with a cross-sectional area of A₂ = 350 mm². A concentrated load of P
= 57 kN acts on the structure at D. Assume L₁-780 mm., L₂-390 mm., a-690 mm., b=360 mm., and c=1160 mm. Determine:
(a) the normal stresses 0₁, 0₂ in both bars (1) and (2).
(b) the downward deflection VD of point D on the rigid bar.
b
Answers:
(a) σ₁ =
(b) VD- i
i
(1)
L₁
L2
(2)
B
MPa, 0₂ =
mm.
i
D
MPa
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