**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 \( B \).

- In y direction : Ry = -10 + 4 - 12 = -18 kips - In x direction : Rx = 0 - Moment at point O : Mo =…

Answered: 2/75 If the resultant of the loads…

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'-

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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A: Replace the loading by an equivalent resultant force and couple moment acting at point A.

Concept explainers

Steel Framing

A steel frame consists of a skeleton frame structure comprising of horizontal I-beams and vertical steel columns fitted in a rectangular grid building construction to brace the floors, walls, and the roof of the building held onto the frame. Due to the implementation of this methodology, the construction of the skyscrapers was feasible.

Question

**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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