5. Method of Sections: Using the method of sections (no other method is acceptable), determine the forces acting in members EC, EF, and BF of the truss shown below and indicate whether the member is in tension or compression. Must show the following a. Free-body diagram of each section being analyzed. b. Calculations.

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Can someone please help me to solve the following question showing all work and needed diagrams. Please and thank you!
## Method of Sections: Truss Analysis

### Objective

Using the **method of sections** (no other method is acceptable), determine the forces in members EC, EF, and BF of the truss shown. Indicate whether each member is in tension or compression.

### Requirements

- **Free-body diagram** of each section being analyzed.
- **Calculations** to determine the forces.

### Diagram Details

The diagram depicts a truss structure with the following characteristics:

- **Supports:**
  - Support A is a pinned support.
  - Support D is a roller support.

- **Structural Dimensions:**
  - Horizontal length AB is 4 meters.
  - Vertical height from A to F is marked as 1 meter.
  - The length along the bottom (ACD) comprises 3 segments of 5 meters each, summing up to 15 meters in total.

- **Loading:**
  - A point load of 5 kN is applied vertically downward at point E.
  - A point load of 20 kN is applied vertically downward at point C.

### Analysis Notes

- Assume the supports and loading are idealized as indicated.
- Use equilibrium equations and structural analysis techniques suitable for truss structures to find the forces in the specified members.
- Determine whether the forces indicate tension (pulling apart) or compression (pushing together) in each member.
Transcribed Image Text:## Method of Sections: Truss Analysis ### Objective Using the **method of sections** (no other method is acceptable), determine the forces in members EC, EF, and BF of the truss shown. Indicate whether each member is in tension or compression. ### Requirements - **Free-body diagram** of each section being analyzed. - **Calculations** to determine the forces. ### Diagram Details The diagram depicts a truss structure with the following characteristics: - **Supports:** - Support A is a pinned support. - Support D is a roller support. - **Structural Dimensions:** - Horizontal length AB is 4 meters. - Vertical height from A to F is marked as 1 meter. - The length along the bottom (ACD) comprises 3 segments of 5 meters each, summing up to 15 meters in total. - **Loading:** - A point load of 5 kN is applied vertically downward at point E. - A point load of 20 kN is applied vertically downward at point C. ### Analysis Notes - Assume the supports and loading are idealized as indicated. - Use equilibrium equations and structural analysis techniques suitable for truss structures to find the forces in the specified members. - Determine whether the forces indicate tension (pulling apart) or compression (pushing together) in each member.
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