Problem 8: Replace the loading by an equivalent resultant force and couple moment acting at point 0. 8 kN/m 5 kN/m 1.5 m- -0.75 m 0.75 m

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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**Problem 8:** Replace the loading by an equivalent resultant force and couple moment acting at point \( O \).

**Description of Diagram:**

The diagram illustrates a beam subjected to a triangular distributed load. The left side of the beam begins at point \( O \), where the load intensity is 8 kN/m, and it tapers down linearly to 5 kN/m at the end of the beam.

- The total length of the beam is divided into three segments:
  - The first segment from the left is 1.5 m long.
  - The second segment in the middle is 0.75 m long.
  - The third segment on the right is also 0.75 m long.

Each segment supports a part of the triangular distributed load, which decreases uniformly along the beam's length. The objective is to calculate the equivalent resultant force and the couple moment about point \( O \) due to the distributed load.
Transcribed Image Text:**Problem 8:** Replace the loading by an equivalent resultant force and couple moment acting at point \( O \). **Description of Diagram:** The diagram illustrates a beam subjected to a triangular distributed load. The left side of the beam begins at point \( O \), where the load intensity is 8 kN/m, and it tapers down linearly to 5 kN/m at the end of the beam. - The total length of the beam is divided into three segments: - The first segment from the left is 1.5 m long. - The second segment in the middle is 0.75 m long. - The third segment on the right is also 0.75 m long. Each segment supports a part of the triangular distributed load, which decreases uniformly along the beam's length. The objective is to calculate the equivalent resultant force and the couple moment about point \( O \) due to the distributed load.
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