Rigid bar ABCD is loaded and supported as shown. Steel [E = 27900 ksi] bars (1) and (2) are unstressed before the load P is applied. Bar (1) has a cross-sectional area of 0.67 in.² and bar (2) has a cross-sectional area of 0.37 in.². After load P is applied, the strain in bar (1) is found to be 710 με. Assume L₁-63 in., L₂-86 in., a=38 in., b=29 in., and c-31 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. A Answers: (a)σ = (b) VD = i (c) P = 5 LI a i (1) L2 B (2) 8 C D b P in. ksi, σ2 = i kips. ksi. 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 31 ksi, determine the maximum load P that may be applied to the rigid bar. 80 in. B (1) 120 in. C D 54 in. 54 in. 24 in. P 35.2 kips 48.8 kips 63.5 kips 42.8 kips ○ 58.1 kips

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Rigid bar ABCD is loaded and supported as shown. Steel [E = 27900 ksi] bars (1) and (2) are unstressed before the load P is applied. Bar
(1) has a cross-sectional area of 0.67 in.² and bar (2) has a cross-sectional area of 0.37 in.². After load P is applied, the strain in bar (1) is
found to be 710 με. Assume L₁-63 in., L₂-86 in., a=38 in., b=29 in., and c-31 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.
A
Answers:
(a)σ =
(b) VD = i
(c) P =
5
LI
a
i
(1)
L2
B
(2)
8
C
D
b
P
in.
ksi, σ2 = i
kips.
ksi.
Transcribed Image Text:Rigid bar ABCD is loaded and supported as shown. Steel [E = 27900 ksi] bars (1) and (2) are unstressed before the load P is applied. Bar (1) has a cross-sectional area of 0.67 in.² and bar (2) has a cross-sectional area of 0.37 in.². After load P is applied, the strain in bar (1) is found to be 710 με. Assume L₁-63 in., L₂-86 in., a=38 in., b=29 in., and c-31 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. A Answers: (a)σ = (b) VD = i (c) P = 5 LI a i (1) L2 B (2) 8 C D b P in. ksi, σ2 = i kips. ksi.
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 31 ksi, determine the maximum load P that may be applied to the rigid bar.
80 in.
B
(1)
120 in.
C
D
54 in.
54 in.
24 in.
P
35.2 kips
48.8 kips
63.5 kips
42.8 kips
○ 58.1 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 31 ksi, determine the maximum load P that may be applied to the rigid bar. 80 in. B (1) 120 in. C D 54 in. 54 in. 24 in. P 35.2 kips 48.8 kips 63.5 kips 42.8 kips ○ 58.1 kips
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