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2/58 The cantilevered W530 x 150 beam shown is subjec- ted to an 8-kN force F applied by means of a welded plate at A. Determine the equivalent force-couple system at the centroid of the beam cross section at the cantilever O. 0 0.65 m k -3m- A 30°

2/58 The cantilevered W530 x 150 beam shown is subjec- ted to an 8-kN force F applied by means of a welded plate at A. Determine the equivalent force-couple system at the centroid of the beam cross section at the cantilever O. 0 0.65 m k -3m- A 30°

Structural Analysis
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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**Problem 2/58** **Beam Exercise with Applied Force and Moment** *Description:* The cantilevered W530 × 150 beam shown is subjected to an 8-kN force \( F \) applied by means of a welded plate at point A. Your task is to determine the equivalent force-couple system at the centroid of the beam cross section at the cantilever support \( O \). *Beam Specifications:* - **Beam Type**: W530 × 150 - **Cantilevered Beam** *Force Applied:* - **Magnitude**: 8 kN - **Direction**: Applied at an angle of 30 degrees below the horizontal at point A. *Diagram Explanation:* 1. **Beam Illustration**: A horizontal beam is shown, fixed at one end at support \( O \) and extending 3 meters to the right. 2. **Force Location**: Point A is located 0.65 meters above the bottom edge at the free end (right end) of the beam. 3. **Applied Force**: An arrow indicating the 8-kN force \( F \) applied at point A, directed downward and to the left forming a 30-degree angle with the horizontal. *Support and Dimensions:* - **Support Point**: \( O \), located at the fixed end of the beam. - **Dimensions**: - Horizontal distance from \( O \) to point A: 3 meters. - Vertical distance from the bottom of the beam to point A: 0.65 meters. The problem requires the calculation of the resultant force and moment at the fixed support \( O \) due to the applied load \( F \). This is crucial for understanding the structural response in terms of internal forces and moments.
Transcribed Image Text:**Problem 2/58** **Beam Exercise with Applied Force and Moment** *Description:* The cantilevered W530 × 150 beam shown is subjected to an 8-kN force \( F \) applied by means of a welded plate at point A. Your task is to determine the equivalent force-couple system at the centroid of the beam cross section at the cantilever support \( O \). *Beam Specifications:* - **Beam Type**: W530 × 150 - **Cantilevered Beam** *Force Applied:* - **Magnitude**: 8 kN - **Direction**: Applied at an angle of 30 degrees below the horizontal at point A. *Diagram Explanation:* 1. **Beam Illustration**: A horizontal beam is shown, fixed at one end at support \( O \) and extending 3 meters to the right. 2. **Force Location**: Point A is located 0.65 meters above the bottom edge at the free end (right end) of the beam. 3. **Applied Force**: An arrow indicating the 8-kN force \( F \) applied at point A, directed downward and to the left forming a 30-degree angle with the horizontal. *Support and Dimensions:* - **Support Point**: \( O \), located at the fixed end of the beam. - **Dimensions**: - Horizontal distance from \( O \) to point A: 3 meters. - Vertical distance from the bottom of the beam to point A: 0.65 meters. The problem requires the calculation of the resultant force and moment at the fixed support \( O \) due to the applied load \( F \). This is crucial for understanding the structural response in terms of internal forces and moments.
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