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25*10^6 psi, and for element 3, A = 3 in^2 and E = 10*10^6 psi.  There is a Force applied to the system at node 2, in +x axis direction.  Force at node 2 is = 5000 lb. Determine: a) All local stiffness matrixes b) Global stiffness matrix c) The displacement of nodes of 2 and 3

25*10^6 psi, and for element 3, A = 3 in^2 and E = 10*10^6 psi.  There is a Force applied to the system at node 2, in +x axis direction.  Force at node 2 is = 5000 lb. Determine: a) All local stiffness matrixes b) Global stiffness matrix c) The displacement of nodes of 2 and 3

Elements Of Electromagnetics
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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 Consider the following three bar system shown on the right.  Assume for elements 1 and 2, A = 1.2 in^2 and E = 25*10^6 psi, and for element 3, A = 3 in^2 and E = 10*10^6 psi.  There is a Force applied to the system at node 2, in +x axis direction.  Force at node 2 is = 5000 lb.

Determine:

  1. a) All local stiffness matrixes
  2. b) Global stiffness matrix
  3. c) The displacement of nodes of 2 and 3
### Diagram Explanation: Numerical Representation of Points and Distances The given diagram visually represents a rod attached between two walls with specific distances marked on it. Below is a detailed explanation of the diagram suitable for an educational context: #### **Components of the Diagram:** 1. **Points along the Rod:** - The rod is divided into segments by points labeled as 1, 2, 3, and 4. - Point 1 is at the left end, attached to the first wall. - Points 2 and 3 are intermediate points along the rod. - Point 4 is at the right end, attached to the second wall. 2. **Distances:** - The distance between Point 1 and Point 2 is 30 inches. - The distance between Point 2 and Point 3 is also 30 inches. - The distance between Point 3 and Point 4 is another 30 inches. - The total distance from Point 1 to Point 4 (encompassing all intermediate points) is 90 inches. 3. **Direction:** - An arrow between Points 2 and 3 indicates the positive direction along the x-axis. ### Summary: - A rod is fixed horizontally between two walls, with points marked at 30-inch intervals. - The total length of the rod is 90 inches. This diagram can be used in various educational contexts, such as explaining linear measurements, basic physics principles related to force and tension, or introductory engineering concepts dealing with materials and structural analysis.
Transcribed Image Text:### Diagram Explanation: Numerical Representation of Points and Distances The given diagram visually represents a rod attached between two walls with specific distances marked on it. Below is a detailed explanation of the diagram suitable for an educational context: #### **Components of the Diagram:** 1. **Points along the Rod:** - The rod is divided into segments by points labeled as 1, 2, 3, and 4. - Point 1 is at the left end, attached to the first wall. - Points 2 and 3 are intermediate points along the rod. - Point 4 is at the right end, attached to the second wall. 2. **Distances:** - The distance between Point 1 and Point 2 is 30 inches. - The distance between Point 2 and Point 3 is also 30 inches. - The distance between Point 3 and Point 4 is another 30 inches. - The total distance from Point 1 to Point 4 (encompassing all intermediate points) is 90 inches. 3. **Direction:** - An arrow between Points 2 and 3 indicates the positive direction along the x-axis. ### Summary: - A rod is fixed horizontally between two walls, with points marked at 30-inch intervals. - The total length of the rod is 90 inches. This diagram can be used in various educational contexts, such as explaining linear measurements, basic physics principles related to force and tension, or introductory engineering concepts dealing with materials and structural analysis.
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