The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 77 GPa] with a cross-sectional area of A₁ = 850 mm². Bar (2) is a bronze alloy [E = 111 GPa] with a cross-sectional area of A2 = 470 mm². Assume L₁=3 m, L2=3.3 m, a-0.6 m, b=1.4 m, and c=1 m. All bars are unstressed before the load P is applied; however, there is a 5.8-mm clearance in the pin connection at A. If a load of P = 56 kN is applied at B, determine: (a) the normal stresses 01, 02, in both bars (1) and (2). (b) the normal strains E1, E2, in bars (1) and (2). (c) determine the downward deflection VA of point A on the rigid bar. (1) A Answers: (a) σ₁ = (b) 1 = (c) VA = i a i i L₁ B b L2 mm. C MPa, 01 = με, €2 = i i D MPa. με.
The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 77 GPa] with a cross-sectional area of A₁ = 850 mm². Bar (2) is a bronze alloy [E = 111 GPa] with a cross-sectional area of A2 = 470 mm². Assume L₁=3 m, L2=3.3 m, a-0.6 m, b=1.4 m, and c=1 m. All bars are unstressed before the load P is applied; however, there is a 5.8-mm clearance in the pin connection at A. If a load of P = 56 kN is applied at B, determine: (a) the normal stresses 01, 02, in both bars (1) and (2). (b) the normal strains E1, E2, in bars (1) and (2). (c) determine the downward deflection VA of point A on the rigid bar. (1) A Answers: (a) σ₁ = (b) 1 = (c) VA = i a i i L₁ B b L2 mm. C MPa, 01 = με, €2 = i i D MPa. με.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 77 GPa] with a
cross-sectional area of A₁ = 850 mm². Bar (2) is a bronze alloy [E = 111 GPa] with a cross-sectional area of A₂ = 470 mm². Assume L₁=3
m, L₂=3.3 m, a=0.6 m, b=1.4 m, and c=1 m. All bars are unstressed before the load P is applied; however, there is a 5.8-mm clearance in
the pin connection at A. If a load of P = 56 kN is applied at B, determine:
(a) the normal stresses 01, 02, in both bars (1) and (2).
(b) the normal strains £₁, 82, in bars (1) and (2).
(c) determine the downward deflection VÀ of point A on the rigid bar.
(1)
A
Answers:
(a) 01
(b) 1 =
(c) VA =
=
a
L₁
B
P
b
(2)
C
MPa, 01 =
με, ε2 =
mm.
L2
C
D
MPa.
με.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe1a7f2a0-b379-41a5-9946-2078f40135b9%2Fe454070a-727c-4c0f-9a49-adf97a6fe957%2F7edb11_processed.png&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 = 77 GPa] with a
cross-sectional area of A₁ = 850 mm². Bar (2) is a bronze alloy [E = 111 GPa] with a cross-sectional area of A₂ = 470 mm². Assume L₁=3
m, L₂=3.3 m, a=0.6 m, b=1.4 m, and c=1 m. All bars are unstressed before the load P is applied; however, there is a 5.8-mm clearance in
the pin connection at A. If a load of P = 56 kN is applied at B, determine:
(a) the normal stresses 01, 02, in both bars (1) and (2).
(b) the normal strains £₁, 82, in bars (1) and (2).
(c) determine the downward deflection VÀ of point A on the rigid bar.
(1)
A
Answers:
(a) 01
(b) 1 =
(c) VA =
=
a
L₁
B
P
b
(2)
C
MPa, 01 =
με, ε2 =
mm.
L2
C
D
MPa.
με.
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