**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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