Rigid bar ABCD is loaded and supported as shown. Steel [E = 30800 ksi] bars (1) and (2) are unstressed before the load P is applied. Bar (1) has a cross-sectional area of 0.78 in.2 and bar (2) has a cross-sectional area of 0.32 in.2. After load P is applied, the strain in bar (1) is found to be 610 μεμε. Assume L1=50 in., L2=76 in., a=28 in., b=21 in., and c=22 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.

Mechanics of Materials (MindTap Course List)
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Author:Barry J. Goodno, James M. Gere
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Chapter7: Analysis Of Stress And Strain
Section: Chapter Questions
Problem 7.6.13P: A solid spherical ball of magnesium alloy (E = 6.5 × l0-6 psi, v = 0.35) is lowered into the ocean...
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Rigid bar ABCD is loaded and supported as shown. Steel [E = 30800 ksi] bars (1) and (2) are unstressed before the load P is applied. Bar (1) has a cross-sectional area of 0.78 in.and bar (2) has a cross-sectional area of 0.32 in.2. After load P is applied, the strain in bar (1) is found to be 610 μεμε. Assume L1=50 in., L2=76 in., a=28 in., b=21 in., and c=22 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 = 30800 ksi] bars (1) and (2) are unstressed before the load P is applied. Bar
(1) has a cross-sectional area of 0.78 in.2 and bar (2) has a cross-sectional area of 0.32 in.². After load P is applied, the strain in bar (1) is
found to be 610 με. Assume L₁-50 in., L₂=76 in., a=28 in., b-21 in., and c-22 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.
(2)
(1)
L₁
B
a
A
Answers:
(a) σ₁ =
(b) VD=
(c) P =
i
i
i
L2
b
C
ksi, 0₂ =
in.
kips.
C
i
D
P
ksi.
Transcribed Image Text:Rigid bar ABCD is loaded and supported as shown. Steel [E = 30800 ksi] bars (1) and (2) are unstressed before the load P is applied. Bar (1) has a cross-sectional area of 0.78 in.2 and bar (2) has a cross-sectional area of 0.32 in.². After load P is applied, the strain in bar (1) is found to be 610 με. Assume L₁-50 in., L₂=76 in., a=28 in., b-21 in., and c-22 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. (2) (1) L₁ B a A Answers: (a) σ₁ = (b) VD= (c) P = i i i L2 b C ksi, 0₂ = in. kips. C i D P ksi.
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