A pin-connected structure is supported and loaded as shown. Member ABCD is rigid and is horizontal before the load P is applied. Bars (1) and (2) are both made from steel [E = 30,000 ksi] and both have a cross-sectional area of 1.25 in.2. If the normal stress in bar (1) must be limited to 23 ksi, determine the maximum load P that may be applied to the rigid bar. A ト 80 in. B (1) 120 in. (2) с D 54 in. 54 in. 24 in. P ○ 26.9 kips 50.4 kips 39.4 kips 30.6 kips O 43.1 kips Rigid bar ABCD is loaded and supported as shown. Steel [E = 28900 ksi] bars (1) and (2) are unstressed before the load P is applied. Bar (1) has a cross-sectional area of 0.61 in.² and bar (2) has a cross-sectional area of 0.38 in.². After load P is applied, the strain in bar (1) is found to be 730 με. Assume L1-63 in., L2-101 in., a-24 in., b=39 in., and c=28 in. Determine: (a) the stresses in bars (1) and (2). (b) the vertical deflection vp of point D on the rigid bar. (c) the load P. Answers: (a) σ = (b) VD = i (c) P = i L₁ a (1) L2 B (2) C D b C ksi, σ₂ = i in. kips. P i ksi.

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Chapter10: Plate Girders
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A pin-connected structure is supported and loaded as shown. Member ABCD is rigid and is horizontal before the load P is applied. Bars
(1) and (2) are both made from steel [E = 30,000 ksi] and both have a cross-sectional area of 1.25 in.2. If the normal stress in bar (1)
must be limited to 23 ksi, determine the maximum load P that may be applied to the rigid bar.
A
ト
80 in.
B
(1)
120 in.
(2)
с
D
54 in.
54 in.
24 in.
P
○ 26.9 kips
50.4 kips
39.4 kips
30.6 kips
O 43.1 kips
Transcribed Image Text:A pin-connected structure is supported and loaded as shown. Member ABCD is rigid and is horizontal before the load P is applied. Bars (1) and (2) are both made from steel [E = 30,000 ksi] and both have a cross-sectional area of 1.25 in.2. If the normal stress in bar (1) must be limited to 23 ksi, determine the maximum load P that may be applied to the rigid bar. A ト 80 in. B (1) 120 in. (2) с D 54 in. 54 in. 24 in. P ○ 26.9 kips 50.4 kips 39.4 kips 30.6 kips O 43.1 kips
Rigid bar ABCD is loaded and supported as shown. Steel [E = 28900 ksi] bars (1) and (2) are unstressed before the load P is applied. Bar
(1) has a cross-sectional area of 0.61 in.² and bar (2) has a cross-sectional area of 0.38 in.². After load P is applied, the strain in bar (1) is
found to be 730 με. Assume L1-63 in., L2-101 in., a-24 in., b=39 in., and c=28 in. Determine:
(a) the stresses in bars (1) and (2).
(b) the vertical deflection vp of point D on the rigid bar.
(c) the load P.
Answers:
(a) σ =
(b) VD =
i
(c) P =
i
L₁
a
(1)
L2
B
(2)
C
D
b
C
ksi, σ₂ =
i
in.
kips.
P
i
ksi.
Transcribed Image Text:Rigid bar ABCD is loaded and supported as shown. Steel [E = 28900 ksi] bars (1) and (2) are unstressed before the load P is applied. Bar (1) has a cross-sectional area of 0.61 in.² and bar (2) has a cross-sectional area of 0.38 in.². After load P is applied, the strain in bar (1) is found to be 730 με. Assume L1-63 in., L2-101 in., a-24 in., b=39 in., and c=28 in. Determine: (a) the stresses in bars (1) and (2). (b) the vertical deflection vp of point D on the rigid bar. (c) the load P. Answers: (a) σ = (b) VD = i (c) P = i L₁ a (1) L2 B (2) C D b C ksi, σ₂ = i in. kips. P i ksi.
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