FEA 1-D Direct Method Bar Elements. A 1-D bar element system is Problem 3 connected as shown below. Nodes 1 and 3 are fixed (walls). Both elements have Young's Modulus of 30x106 psi and cross-sectional area of 2.0 in². There is an external force acting at Node 2 of 8000 Ib to the right. Assume that the bars can only undergo translation in x (1 DOF at each node). Assume +x is to the right. a) Find the displacement of Node 2. Hint: units! b) Find the reaction forces at the walls. Hint: units! +x E1 E2 8000 lb (2) 20 in. 50 in.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter11: Columns
Section: Chapter Questions
Problem 11.3.10P: Repeat Problem 11.3-9. Use two C 150 × 12.2 steel shapes and assume that E = 205 GPa and L = 6 m.
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Problem 3
connected as shown below. Nodes 1 and 3 are fixed (walls). Both elements have Young's
Modulus of 30x106 psi and cross-sectional area of 2.0 in?. There is an external force acting at
Node 2 of 8000 Ib to the right. Assume that the bars can only undergo translation in x (1 DOF at
each node). ASsume +x is to the right.
a) Find the displacement of Node 2. Hint: units!
b) Find the reaction forces at the walls. Hint: units!
FEA 1-D Direct Method Bar Elements. A 1-D bar element system is
+x
E1
E2
8000 lb
20 in.
50 in.
Transcribed Image Text:Problem 3 connected as shown below. Nodes 1 and 3 are fixed (walls). Both elements have Young's Modulus of 30x106 psi and cross-sectional area of 2.0 in?. There is an external force acting at Node 2 of 8000 Ib to the right. Assume that the bars can only undergo translation in x (1 DOF at each node). ASsume +x is to the right. a) Find the displacement of Node 2. Hint: units! b) Find the reaction forces at the walls. Hint: units! FEA 1-D Direct Method Bar Elements. A 1-D bar element system is +x E1 E2 8000 lb 20 in. 50 in.
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