Determine the nodal displacements at node 1, node 2, and node 3 as shown in the figure. One end of the bar assembly is applied with force and at the other end is fixed. The length of each element is 500 mm. The modulus of elasticity and area of the cross-section is given, E, = 200 GPa and A =125 mm² for element 1 and E, =100 GPa and A, = 125 mm? element 2. 1 2 2 3 50 kN 500 mm 500 mm (А) и, — 0, и, = 0,u, =3 mm,uz = 9 mm (B) и, — 0, и, = 2 mm,u, =6 mm (С) и, = 0,u, =1 mm, u, = 3 mm (D) u, = 0,u, = 0.5 mm,u, =3 mm

Mechanics of Materials (MindTap Course List)
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Author:Barry J. Goodno, James M. Gere
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Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.3.5P: A vertical bar is loaded with axial loads at points B, C, and D. as shown in the figure. The bar is...
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Determine the nodal displacements at node 1, node 2, and node 3 as shown in the figure.
One end of the bar assembly is applied with force and at the other end is fixed. The length
of each element is 500 mm. The modulus of elasticity and area of the cross-section is given,
E, = 200 GPa and A =125 mm² for element 1 and E, =100 GPa and A, = 125 mm?
element 2.
1
2
2
3
50 kN
500 mm
500 mm
(А) и, — 0, и,
= 0,u, =3 mm,uz
= 9 mm
(B) и, — 0, и,
=
2 mm,u, =6 mm
(С) и,
= 0,u, =1 mm, u, = 3 mm
(D) u, = 0,u, = 0.5 mm,u, =3 mm
Transcribed Image Text:Determine the nodal displacements at node 1, node 2, and node 3 as shown in the figure. One end of the bar assembly is applied with force and at the other end is fixed. The length of each element is 500 mm. The modulus of elasticity and area of the cross-section is given, E, = 200 GPa and A =125 mm² for element 1 and E, =100 GPa and A, = 125 mm? element 2. 1 2 2 3 50 kN 500 mm 500 mm (А) и, — 0, и, = 0,u, =3 mm,uz = 9 mm (B) и, — 0, и, = 2 mm,u, =6 mm (С) и, = 0,u, =1 mm, u, = 3 mm (D) u, = 0,u, = 0.5 mm,u, =3 mm
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