Calculate the forces at a: F_Ax = ___________, F_Ay=__________________, and the forces at D: F_Dx = _____________ and F_Dy = _______________.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Calculate the forces at a: F_Ax = ___________, F_Ay=__________________, and the forces at D: F_Dx = _____________ and F_Dy = _______________.

### Analysis of a Simple Truss Structure

**Diagram Overview:**

The image depicts a simple truss structure with a horizontal base and triangular peaks. The truss is supported by pinned supports at points A and D, with external loads applied vertically downward at the points B and C. The entire setup is labeled as Fig. P7-10.

**Structural Details:**

- **Supports:**
  - **Point A:** A pinned support located at the far left. Pinned supports can resist horizontal and vertical forces but not moments.
  - **Point D:** Another pinned support located at the far right.

- **Horizontal Members:**
  - The distance between the supports A and D is 6 meters, divided equally into two segments of 3 meters each.

- **Angular Members:**
  - Triangular formations are formed with angles of 60 degrees at each respective triangle's apex within the truss, particularly noticeable at joints near points B and C. 

- **Applied Loads:**
  - **Point B:** A vertical load of 3 kN is applied.
  - **Point C:** A vertical load of 5 kN is applied.

The members of the truss are designed to handle forces such as tension or compression, and the depicted angles help in determining the force distribution throughout the structure. Understanding angles, loads, and support constraints is crucial for engineering analyses such as determining the internal forces, displacements, and stability of the structure.
Transcribed Image Text:### Analysis of a Simple Truss Structure **Diagram Overview:** The image depicts a simple truss structure with a horizontal base and triangular peaks. The truss is supported by pinned supports at points A and D, with external loads applied vertically downward at the points B and C. The entire setup is labeled as Fig. P7-10. **Structural Details:** - **Supports:** - **Point A:** A pinned support located at the far left. Pinned supports can resist horizontal and vertical forces but not moments. - **Point D:** Another pinned support located at the far right. - **Horizontal Members:** - The distance between the supports A and D is 6 meters, divided equally into two segments of 3 meters each. - **Angular Members:** - Triangular formations are formed with angles of 60 degrees at each respective triangle's apex within the truss, particularly noticeable at joints near points B and C. - **Applied Loads:** - **Point B:** A vertical load of 3 kN is applied. - **Point C:** A vertical load of 5 kN is applied. The members of the truss are designed to handle forces such as tension or compression, and the depicted angles help in determining the force distribution throughout the structure. Understanding angles, loads, and support constraints is crucial for engineering analyses such as determining the internal forces, displacements, and stability of the structure.
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