2- For the truss structure shown, use symmetry to determine the displacements of the nodes and the stresses in each element. All elements have E=30 x 106 psi. Elements 1, 2, 4, and 5 have A = 10 in² and element 3 has A = 20 in². 8 ft 3 3 8 ft- 6 ft

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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This is Mechanical Engineering. Please answer with clear work and answers. Thank you

**Problem Statement:**

For the truss structure shown, use symmetry to determine the displacements of the nodes and the stresses in each element. All elements have \( E = 30 \times 10^6 \) psi. Elements 1, 2, 4, and 5 have \( A = 10 \, \text{in}^2 \) and element 3 has \( A = 20 \, \text{in}^2 \).

**Diagram:**

- A symmetrical truss with five elements is illustrated.
- Nodes are labeled at the top and ends of each truss element.
- Element 3 is vertical, connecting the apex node (3) with the base.
- All other elements (1, 2, 4, 5) are diagonal or horizontal, meeting at the apex node from the base.
- The base of the truss spans 16 feet in total, with individual 8-foot sections on each side.
- The height of the truss (from the base to the apex, node 3) is 6 feet.
- A downward external load of 20,000 lbs is applied at the apex node (3).
- Supports are located at node positions 1 and 4, one being a pinned support and the other a roller support.
Transcribed Image Text:**Problem Statement:** For the truss structure shown, use symmetry to determine the displacements of the nodes and the stresses in each element. All elements have \( E = 30 \times 10^6 \) psi. Elements 1, 2, 4, and 5 have \( A = 10 \, \text{in}^2 \) and element 3 has \( A = 20 \, \text{in}^2 \). **Diagram:** - A symmetrical truss with five elements is illustrated. - Nodes are labeled at the top and ends of each truss element. - Element 3 is vertical, connecting the apex node (3) with the base. - All other elements (1, 2, 4, 5) are diagonal or horizontal, meeting at the apex node from the base. - The base of the truss spans 16 feet in total, with individual 8-foot sections on each side. - The height of the truss (from the base to the apex, node 3) is 6 feet. - A downward external load of 20,000 lbs is applied at the apex node (3). - Supports are located at node positions 1 and 4, one being a pinned support and the other a roller support.
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