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.

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.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Types of loading

In mechanical terminology, the term load indicates that external force/weight, either constant or variable, acts on a mechanical member/structure. The weight of an object of a specific material is also an external load, and the external force that works on a structure comes under the categories of loading. The external load generates its effects as stress and strain in the structure.

Question

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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