The 12-m beam AB rests upon, but is not attached to, supports at C and D. Determine the range of values of P for which the beam will remain in equilibrium. 15 KN 15 kN P kN D 3 m 3 m 3 m 3 m

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Question
**Problem Description:**

The 12-meter beam AB rests upon, but is not attached to, supports at C and D. Determine the range of values of P for which the beam will remain in equilibrium.

**Diagram Explanation:**

- The diagram shows a horizontal beam labeled AB.
- The beam is supported at two points: C and D.
- Three forces act vertically downward on the beam:
  - A 15 kN force at point A.
  - A 5 kN force at a point 3 meters from A.
  - A variable force P kN at point B, which is 9 meters from A and 3 meters past point D.
- The beam is divided into sections with equal intervals, indicating the distances between points:
  - 3 meters from A to C.
  - 3 meters from C to D.
  - 3 meters from D to B.

**Objective:**

The task is to calculate the range of values for P that allow the beam to stay in equilibrium, considering the given forces and supports.
Transcribed Image Text:**Problem Description:** The 12-meter beam AB rests upon, but is not attached to, supports at C and D. Determine the range of values of P for which the beam will remain in equilibrium. **Diagram Explanation:** - The diagram shows a horizontal beam labeled AB. - The beam is supported at two points: C and D. - Three forces act vertically downward on the beam: - A 15 kN force at point A. - A 5 kN force at a point 3 meters from A. - A variable force P kN at point B, which is 9 meters from A and 3 meters past point D. - The beam is divided into sections with equal intervals, indicating the distances between points: - 3 meters from A to C. - 3 meters from C to D. - 3 meters from D to B. **Objective:** The task is to calculate the range of values for P that allow the beam to stay in equilibrium, considering the given forces and supports.
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