3- For the plane truss with an inclined support shown below, solve for the nodal displacements and element stresses in the bars. Let A = 2 in², E = 30 x 10 psi, and L = 30 in. fr L 2 0-0 ********* 2000 lb

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This is Mechanical Engineering. Please answer with clear work and answers. Thank you

**Problem Statement:**
For the plane truss with an inclined support shown below, solve for the nodal displacements and element stresses in the bars. Let \( A = 2 \, \text{in}^2 \), \( E = 30 \times 10^6 \, \text{psi} \), and \( L = 30 \, \text{in} \).

**Diagram Explanation:**
The diagram illustrates a simple truss system with three nodes (1, 2, and 3) and two members (bars) of equal length \( L \). Node 1 is located at the bottom left and is connected to an inclined support, which provides resistance to movement. Node 2 is located at the top right and has a vertical external load of 2000 lb applied in the downward direction. Node 3 is located on the vertical member to the left, where another horizontal member extends to Node 2.

- **Node Details:**
  - Node 1: The foundation is fixed, preventing any displacement in the horizontal or vertical directions.
  - Node 2: Connected to Node 1 and Node 3, subjected to a vertical 2000 lb load.
  - Node 3: The topmost node, supported horizontally on the left side.

The task is to calculate the displacements and stresses using the given parameters.
Transcribed Image Text:**Problem Statement:** For the plane truss with an inclined support shown below, solve for the nodal displacements and element stresses in the bars. Let \( A = 2 \, \text{in}^2 \), \( E = 30 \times 10^6 \, \text{psi} \), and \( L = 30 \, \text{in} \). **Diagram Explanation:** The diagram illustrates a simple truss system with three nodes (1, 2, and 3) and two members (bars) of equal length \( L \). Node 1 is located at the bottom left and is connected to an inclined support, which provides resistance to movement. Node 2 is located at the top right and has a vertical external load of 2000 lb applied in the downward direction. Node 3 is located on the vertical member to the left, where another horizontal member extends to Node 2. - **Node Details:** - Node 1: The foundation is fixed, preventing any displacement in the horizontal or vertical directions. - Node 2: Connected to Node 1 and Node 3, subjected to a vertical 2000 lb load. - Node 3: The topmost node, supported horizontally on the left side. The task is to calculate the displacements and stresses using the given parameters.
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