The truss shown below has pin support at A and roller support at B. The support A is susbjected to a vertical downward displacement of -0.5 mm and support B is susbjected to a vertical upward displacement of 0.4 mm. The cross sectional areas are 500 mm2, 250 mm2, and 1414 mm2 for element 1, 2, and 3, respectively. The length of element 1 and 2 is 10 m. Assume E = 200 GPa for all members. Calculate the horizontal and vertical displacements at node 3 of the truss. Use bar element formulation. 1 kN 3 2 kN (2) Y 45° 1 (1) A

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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The truss shown below has pin support at A and roller support at B. The support A is susbjected to a vertical downward displacement
of -0.5 mm and support B is susbjected to a vertical upward displacement of 0.4 mm. The cross sectional areas are 500 mm2, 250
mm2, and 1414 mm2 for element 1, 2, and 3, respectively. The length of element 1 and 2 is 10 m. Assume E = 200 GPa for all
members. Calculate the horizontal and vertical displacements at node 3 of the truss. Use bar element formulation.
1 kN
3
2 kN
(2)
Y
45°
1
(1)
A
Transcribed Image Text:The truss shown below has pin support at A and roller support at B. The support A is susbjected to a vertical downward displacement of -0.5 mm and support B is susbjected to a vertical upward displacement of 0.4 mm. The cross sectional areas are 500 mm2, 250 mm2, and 1414 mm2 for element 1, 2, and 3, respectively. The length of element 1 and 2 is 10 m. Assume E = 200 GPa for all members. Calculate the horizontal and vertical displacements at node 3 of the truss. Use bar element formulation. 1 kN 3 2 kN (2) Y 45° 1 (1) A
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