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categoryهندسة ميكانيكية
schoolبكالوريوس
event_available2026-07-13
السؤال
Transcribed Image Text:
A rigid bar ABCD is supported by two bars as shown. There is no strain in the vertical bars before load P is applied. After load P is applied, the normal strain in bar (1) is -690 μm/m. Assume a = 280
mm, b = 420 mm, c = 160 mm, L₁ = 900 mm, and L2 = 1400 mm.
Determine:
(a) the normal strain in bar (2).
(b) the normal strain in bar (2) if there is a 1-mm gap in the connection at pin C before the load is applied.
(c) the normal strain in bar (2) if there is a 1-mm gap in the connection at pin B before the load is applied.
a
b
B
(1)
Rigid bar
L₁
C
P
L2
(a) Determine the deformation (positive if stretches, negative if shortens) of bar (1).
Answer: 51=
-0.621
the tolerance is +/-2%
mm.
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LINK TO TEXT
Attempts: Unlimited
Part 2
Correct
(a) Determine the rigid bar deflection at pin B. (Enter a positive value if pin B moves upward. Enter a negative value if pin B moves downward.)
Answer: Vg= -0.621
the tolerance is +/-2%
mm.
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LINK TO TEXT
Attempts: Unlimited
Part 3
Correct
(a) Determine the rigid bar deflection at pin C. (Enter a positive value if pin C moves upward. Enter a negative value if pin C moves downward.)
Answer: Vc=
-1.55
the tolerance is +/-2%
mm.
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LINK TO TEXT
Part 4
Correct
(a) Determine the deformation in bar(2) (positive if bar (2) stretches, negative if it shortens).
Answer: 21.55
the tolerance is +/-2%
mm.
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LINK TO TEXT
Attempts: Unlim
Part 5
Correct
(a) Determine the normal strain in bar (2) (positive if tensile, negative if compressive).
Answer: 21107.1
the tolerance is +/-2%
με.
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Attempts: Unlimited
Part 6
Correct
(b) Determine the deformation of bar (1) (positive if stretches, negative if shortens) if there is a 1-mm gap in the connection at pin C before the load is applied.
Answer: 1=-0.621
the tolerance is +/-2%
mm.
Click if you would like to Show Work for this question: Open Show Work
LINK TO TEXT
Correct
(b) Determine the rigid bar deflection at pin B if there is a 1 -mm gap in the connection at pin C before the load is applied. (Enter a positive value if pin B moves upward. Enter a negative value if pin
B moves downward.)
-0.621
Answer: VB =
the tolerance is +/-2%
mm.
Click if you would like to Show Work for this question: Open Show Work
Part 8
Incorrect.
Be sure units are consistent. Here is the deformation diagram.
700mm
280mm
B
(2)
Initial position
Deflected
position
1mm
Deformation diagram showing gap at pin C.
(b) Determine the rigid bar deflection at pin C if there is a 1-mm gap in the connection at pin C before the load is applied. (Enter a positive value if pin C moves upward. Enter a negative value if pin
C moves downward.)
1.55
Answer: Vc=
the tolerance is +/-2%
mm.
Click if you would like to Show Work for this question: Open Show Work
Part 9
Incorrect.
Remember to account for the gap at C.
(b) Determine the deformation (positive if the bar stretches, negative if it shortens) of bar (2) if there is a 1-mm gap in the connection at pin C before the load is applied.
Answer: 622.55
the tolerance is +/-2%
mm.
Click if you would like to Show Work for this question: Open Show Work
Part 10
(b) Determine the normal strain in bar (2) if there is a 1-mm gap in the connection at pin C before the load is applied.
Answer: €2=
the tolerance is +/-2%
με.
Click if you would like to Show Work for this question: Open Show Work
Attempts: Unlimited
SAVE FOR LATER
SUBMIT ANSWER
Attempts: Unlimited
SAVE FOR LATER
SUBMIT ANSWER
Part 11
(c) Determine the deformation (positive if stretches, negative if shortens) of bar (1) if there is a 1 mm gap in the connection at pin B before the load is applied.
Answer: 5₁ =
the tolerance is +/-2%
mm.
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Attempts: Unlimited
SAVE FOR LATER
SUBMIT ANSWER
Part 12
(c) Determine the rigid bar deflection at pin B if there is a 1-mm gap in the connection at pin B before the load is applied. (Enter a positive value if pin B moves upward. Enter a negative value if pin
B moves downward.)
Answer: VB =
the tolerance is +/-2%
mm.
Click if you would like to Show Work for this question: Open Show Work
Attempts: Unlimited
SAVE FOR LATER
SUBMIT ANSWER
Part 13
(c) Determine the rigid bar deflection at pin C if there is a 1-mm gap in the connection at pin B before the load is applied. (Enter a positive value if pin C moves upward. Enter a negative value if pin C
moves downward.)
Answer: Vc=
the tolerance is +/-2%
mm.
Click if you would like to Show Work for this question: Open Show Work
Attempts: Unlimited SAVE FOR LATER SUBMIT ANSWER
Part 14
(c) Determine the deformation (positive if bar (2) stretches, negative if bar (2) shortens) of bar (2) if there is a 1-mm gap in the connection at pin B before the load is applied.
Answer: 52 =
the tolerance is +/-2%
mm.
Click if you would like to Show Work for this question: Open Show Work
Part 15
(c) Determine the normal strain in bar (2) if there is a 1-mm gap in the connection at pin B before the load is applied.
Answer: £2 =
the tolerance is +/-2%
με.
Click if you would like to Show Work for this question: Open Show Work
Attempts: Unlimited
SAVE FOR LATER
SUBMIT ANSWER
Attempts: Unlimited
SAVE FOR LATER
SUBMIT ANSWER
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