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Draw the shear and moment diagrams for the beam. 150 lb-ft 250 lb/ft -20 ft B 150 lb-ft

Draw the shear and moment diagrams for the beam. 150 lb-ft 250 lb/ft -20 ft B 150 lb-ft

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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**Task: Draw the shear and moment diagrams for the beam.** **Description of the Beam Setup:** - The diagram depicts a horizontal beam labeled from point A to point B. - The beam is subjected to a uniformly distributed load of 250 lb/ft over its entire length of 20 feet. - Additionally, there are two couple moments applied at points A and B, each with a magnitude of 150 lb-ft. - The beam is supported at both ends, indicating a simply supported beam with pin support at point A and roller support at point B. **Explanation for Shear and Moment Diagrams:** 1. **Shear Diagram:** - The shear force diagram will start at the reaction value at point A, then it will linearly decrease due to the uniformly distributed load across the beam’s length. - The value of the shear force will change, reflecting the effects of distributed load at each point along the beam. 2. **Moment Diagram:** - The moment diagram will originate from the couple moment at point A, increasing with the effect of the distributed load, reaching a peak, and then decreasing towards point B. - The values will reflect the impact of both the distributed load and the couple moments at the ends. These diagrams are essential in structural engineering to understand how the beam reacts under the given loads and moments, indicating critical points of stress and deflection for design and analysis.
Transcribed Image Text:**Task: Draw the shear and moment diagrams for the beam.** **Description of the Beam Setup:** - The diagram depicts a horizontal beam labeled from point A to point B. - The beam is subjected to a uniformly distributed load of 250 lb/ft over its entire length of 20 feet. - Additionally, there are two couple moments applied at points A and B, each with a magnitude of 150 lb-ft. - The beam is supported at both ends, indicating a simply supported beam with pin support at point A and roller support at point B. **Explanation for Shear and Moment Diagrams:** 1. **Shear Diagram:** - The shear force diagram will start at the reaction value at point A, then it will linearly decrease due to the uniformly distributed load across the beam’s length. - The value of the shear force will change, reflecting the effects of distributed load at each point along the beam. 2. **Moment Diagram:** - The moment diagram will originate from the couple moment at point A, increasing with the effect of the distributed load, reaching a peak, and then decreasing towards point B. - The values will reflect the impact of both the distributed load and the couple moments at the ends. These diagrams are essential in structural engineering to understand how the beam reacts under the given loads and moments, indicating critical points of stress and deflection for design and analysis.
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