3-27-3-31. The forces shown form a couple. Replace the shown couple with an equivalent couple acting at points A and B.

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Figure p3-31 the only problem I want to sol

**Moments and Couples**

**3-26.** A portion of a beam has forces applied as shown in Figure P3-26. Forces A and B form a couple that opposes the couple made up by the vertical forces. Determine forces A and B.

*Diagram: Figure P3-26 shows a horizontal beam segment with two vertical forces acting upward at its ends. One force is 500 N at a distance of 150 mm from the start of the beam, and another force is 500 N at the end of the beam, 4 m from the other end.*

![Figure P3-26](image_url)

**3-27—3-31.** The forces shown form a couple. Replace the shown couple with an equivalent couple acting at points A and B.

**Figure P3-27**
* A horizontal beam segment with two small vertical arrows (forces) of 20 lb each pointing in opposite directions at a horizontal distance of 4 ft from each other.
  ![Figure P3-27](image_url)

**Figure P3-28**
* An L-shaped beam segment with a vertical force of 6 N near the top. The horizontal part of the L is 3 m, and the vertical part is 1.5 m.
  ![Figure P3-28](image_url)

**Figure P3-29**
* An L-shaped beam with vertical forces of 8 kN acting in opposite directions at the ends of the horizontal beam (250 mm apart).
  ![Figure P3-29](image_url)

**Figure P3-30**
* A T-shaped beam with forces of 40 N acting horizontally in opposite directions at the ends of the vertical beam (200 mm horizontal and 300 mm vertical dimensions).
  ![Figure P3-30](image_url)

**Figure P3-31**
* An L-shaped beam with forces of 40 N acting in opposite directions horizontally at the ends of the vertical beam (50 mm horizontal and 200 mm vertical dimensions).
  ![Figure P3-31](image_url)

By analyzing each diagram, you can determine the equivalent couples at specified points to simplify the analysis of forces acting on these beam sections.

---

Note: Some diagrams and images might need to be manually included if they're not automatically rendered by your website platform.
Transcribed Image Text:**Moments and Couples** **3-26.** A portion of a beam has forces applied as shown in Figure P3-26. Forces A and B form a couple that opposes the couple made up by the vertical forces. Determine forces A and B. *Diagram: Figure P3-26 shows a horizontal beam segment with two vertical forces acting upward at its ends. One force is 500 N at a distance of 150 mm from the start of the beam, and another force is 500 N at the end of the beam, 4 m from the other end.* ![Figure P3-26](image_url) **3-27—3-31.** The forces shown form a couple. Replace the shown couple with an equivalent couple acting at points A and B. **Figure P3-27** * A horizontal beam segment with two small vertical arrows (forces) of 20 lb each pointing in opposite directions at a horizontal distance of 4 ft from each other. ![Figure P3-27](image_url) **Figure P3-28** * An L-shaped beam segment with a vertical force of 6 N near the top. The horizontal part of the L is 3 m, and the vertical part is 1.5 m. ![Figure P3-28](image_url) **Figure P3-29** * An L-shaped beam with vertical forces of 8 kN acting in opposite directions at the ends of the horizontal beam (250 mm apart). ![Figure P3-29](image_url) **Figure P3-30** * A T-shaped beam with forces of 40 N acting horizontally in opposite directions at the ends of the vertical beam (200 mm horizontal and 300 mm vertical dimensions). ![Figure P3-30](image_url) **Figure P3-31** * An L-shaped beam with forces of 40 N acting in opposite directions horizontally at the ends of the vertical beam (50 mm horizontal and 200 mm vertical dimensions). ![Figure P3-31](image_url) By analyzing each diagram, you can determine the equivalent couples at specified points to simplify the analysis of forces acting on these beam sections. --- Note: Some diagrams and images might need to be manually included if they're not automatically rendered by your website platform.
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