The cross-sectional area of each member of the truss shown in the figure is A = 400 mm² and E = 200 GPa. (a) Determine the vertical displacement of joint C if a 4-kN force is applied to the truss at C. (b) If no loads act on the truss, what would be the vertical displacement of joint C if member AB were 5 mm too short? 3 m A -4 m- 4 kN -4 m B
The cross-sectional area of each member of the truss shown in the figure is A = 400 mm² and E = 200 GPa. (a) Determine the vertical displacement of joint C if a 4-kN force is applied to the truss at C. (b) If no loads act on the truss, what would be the vertical displacement of joint C if member AB were 5 mm too short? 3 m A -4 m- 4 kN -4 m B
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![The cross-sectional area of each member of the truss shown in
the figure is A = 400 mm² and E = 200 GPa. (a) Determine the
vertical displacement of joint C if a 4-kN force is applied to the truss
at C. (b) If no loads act on the truss, what would be the vertical
displacement of joint C if member AB were 5 mm too short?
3 m
4 m
C
(a)
4 kN
4 m
B](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F223c3b6b-4941-4f5f-b0fe-e36c7edd0674%2F850228e3-d970-45dc-b109-3b48f60847dd%2Fsjxue8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The cross-sectional area of each member of the truss shown in
the figure is A = 400 mm² and E = 200 GPa. (a) Determine the
vertical displacement of joint C if a 4-kN force is applied to the truss
at C. (b) If no loads act on the truss, what would be the vertical
displacement of joint C if member AB were 5 mm too short?
3 m
4 m
C
(a)
4 kN
4 m
B
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Step 1: Determine the given variables.
VIEWStep 2: Determine the reactions.
VIEWStep 3: Determine the member forces.
VIEWStep 4: Determine the member forces using unit load.
VIEWStep 5: Determine the vertical displacement at C.
VIEWStep 6: Determine the displacement at C due to zero load.
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