Rigid bar ABCD is loaded and supported as shown. Steel [E = 30000 ksi] bars (1) and (2) are unstressed before the load P is applied. Bar (1) has a cross-sectional area of 0.75 in.² and bar (2) has a cross-sectional area of 0.425 in.². After load P is applied, the strain in bar (1) is found to be 780 μe. Assume L₁-60 in., L₂=90 in., a=40 in., b=40 in., and c=30 in. Determine: (a) the stresses in bars (1) and (2). (b) the vertical deflection VD of point D on the rigid bar. (c) the load P. L₁ a (1) B L2 b с С D P

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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Rigid bar ABCD is loaded and supported as shown. Steel [E = 30000 ksi] bars (1) and (2) are unstressed before the load P is applied. Bar
(1) has a cross-sectional area of 0.75 in.² and bar (2) has a cross-sectional area of 0.425 in.². After load P is applied, the strain in bar (1)
is found to be 780 μe. Assume L₁-60 in., L₂=90 in., a=40 in., b=40 in., and c=30 in. Determine:
(a) the stresses in bars (1) and (2).
(b) the vertical deflection VD of point D on the rigid bar.
(c) the load P.
Answers:
(a) σ₁ =
(b) VD = i
(c) P =
Mi
i
L₁
a
(1)
B
L2
b
in.
C
ksi, 0₂ = i
kips.
с
tel
D
P
ksi.
Transcribed Image Text:Rigid bar ABCD is loaded and supported as shown. Steel [E = 30000 ksi] bars (1) and (2) are unstressed before the load P is applied. Bar (1) has a cross-sectional area of 0.75 in.² and bar (2) has a cross-sectional area of 0.425 in.². After load P is applied, the strain in bar (1) is found to be 780 μe. Assume L₁-60 in., L₂=90 in., a=40 in., b=40 in., and c=30 in. Determine: (a) the stresses in bars (1) and (2). (b) the vertical deflection VD of point D on the rigid bar. (c) the load P. Answers: (a) σ₁ = (b) VD = i (c) P = Mi i L₁ a (1) B L2 b in. C ksi, 0₂ = i kips. с tel D P ksi.
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