2/75 If the resultant of the loads shown passes through point B, determine the equivalent force-couple system at 0. 10 kips 12 kips -3'- O -4 A OB 4 kips PROBLEM 2/75 -3'-
2/75 If the resultant of the loads shown passes through point B, determine the equivalent force-couple system at 0. 10 kips 12 kips -3'- O -4 A OB 4 kips PROBLEM 2/75 -3'-
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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
Transcribed Image Text:**Problem 2/75:**
**Objective:** Determine the equivalent force-couple system at point \( O \) for a beam subjected to various loads.
**Problem Statement:** If the resultant of the loads shown passes through point \( B \), determine the equivalent force-couple system at \( O \).
**Diagram Explanation:**
- The diagram represents a horizontal beam supported at point \( O \) on the left side and roller-supported at point \( B \).
- There are three loads applied on the beam:
- A 10 kips downward force at the left end of the beam at point \( O \).
- A 4 kips upward force applied at a point \( A \), which is 4 feet from the left end (point \( O \)).
- A 12 kips downward force applied at point \( C \), which is 7 feet from the left end (point \( O \)).
### Detailed Observation:
- The beam is divided into three segments by the applied forces:
- The first segment from \( O \) to \( A \) is 4 feet in length.
- The second segment from \( A \) to the point where \( B \) and \( C \) are located is 4 feet in length (3 feet from \( A \) to \( B \) + another 1 foot, adding up to the 7 feet total distance from \( O \) to \( C \)).
- The third segment from \( B \) to \( C \) is considered to be directly at the same location, simplifying this to have \( C \) right above \( B \) due to the vertical forces and the lever arm effects.
In this problem, our task is to calculate the equivalent force and the moment (couple) at point \( O \), given the system’s equilibrium conditions and the forces acting on it passing through point \( B \).
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