Rigid bar ABCD is loaded and supported as shown. Steel [E = 28400 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 0.45 in.2. After load P is applied, the strain in bar (1) is found to be 850 μεμε. Assume L1=53 in., L2=79 in., a=34 in., b=33 in., and c=30 in. Determine:

Structural Analysis
6th Edition
ISBN:9781337630931
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 = 28400 ksi] bars (1) and (2) are unstressed before the load P is applied. Bar (1) has a cross-sectional area of 0.75 in.and bar (2) has a cross-sectional area of 0.45 in.2. After load P is applied, the strain in bar (1) is found to be 850 μεμε. Assume L1=53 in., L2=79 in., a=34 in., b=33 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.

Rigid bar ABCD is loaded and supported as shown. Steel [E = 28400 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 0.45 in.². After load P is applied, the strain in bar (1) is
found to be 850 μe. Assume L₁-53 in., L₂-79 in., a-34 in., b-33 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.
(2)
(1)
LI
B
C
A
Answers:
(a) σ₁ =
(b) VD =
(c) P=
i
i
L2
b
ksi, 0₂ =
in.
kips.
i
D
P
ksi.
Transcribed Image Text:Rigid bar ABCD is loaded and supported as shown. Steel [E = 28400 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 0.45 in.². After load P is applied, the strain in bar (1) is found to be 850 μe. Assume L₁-53 in., L₂-79 in., a-34 in., b-33 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. (2) (1) LI B C A Answers: (a) σ₁ = (b) VD = (c) P= i i L2 b ksi, 0₂ = in. kips. i D P ksi.
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