*4-104. Replace the force system acting on the post by a resultant force and couple moment at point O.

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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**Problem 4–104.** Replace the force system acting on the post by a resultant force and couple moment at point \( O \).

*Description:*

A vertical post is subjected to three forces. The forces and distances from point \( O \) are as follows:

1. **A 300 lb force** is applied at the top of the post, directed upward at a 30° angle from the horizontal. This force acts 6 feet away from point \( O \).

2. **A 150 lb force** is applied at an angle determined by a 3-4-5 right triangle, pointing upward to the left. This force is applied 4 feet from point \( O \).

3. **A 200 lb horizontal force** is acting to the right 2 feet above point \( O \).

The diagram illustrates these forces, depicting their directions with arrows and noting the distances from point \( O \) along the post. 

*Objective:*

Calculate the combined effect of these forces as a single resultant force and accompanying couple moment at the base of the post, point \( O \).
Transcribed Image Text:**Problem 4–104.** Replace the force system acting on the post by a resultant force and couple moment at point \( O \). *Description:* A vertical post is subjected to three forces. The forces and distances from point \( O \) are as follows: 1. **A 300 lb force** is applied at the top of the post, directed upward at a 30° angle from the horizontal. This force acts 6 feet away from point \( O \). 2. **A 150 lb force** is applied at an angle determined by a 3-4-5 right triangle, pointing upward to the left. This force is applied 4 feet from point \( O \). 3. **A 200 lb horizontal force** is acting to the right 2 feet above point \( O \). The diagram illustrates these forces, depicting their directions with arrows and noting the distances from point \( O \) along the post. *Objective:* Calculate the combined effect of these forces as a single resultant force and accompanying couple moment at the base of the post, point \( O \).
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