Structural Analysis
Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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### Problem Statement **6–8.** Draw the shear and moment diagrams for the beam, and determine the shear and moment throughout the beam as functions of \( x \) for \( 0 \leq x \leq 6 \text{ ft} \) and \( 6 \text{ ft} \leq x \leq 9 \text{ ft} \). --- ### Diagram Explanation The diagram represents a beam with two different segments: 1. **Distributed Load**: - A uniform distributed load of \( 2 \text{ kip/ft} \) acting over a span of 6 feet from the fixed end. 2. **Point Load**: - A point load of \( 4 \text{ kip} \) located at 6 feet from the fixed end. 3. **Moment**: - A moment of \( 20 \text{ kip-ft} \) applied at the free end. 4. **Beam Segments**: - The beam is divided into two segments by position \( x \): - \( 0 \leq x \leq 6 \text{ ft} \) under the distributed load. - \( 6 \text{ ft} \leq x \leq 9 \text{ ft} \) under the point load and moment. The horizontal axis indicates the position along the beam, creating a total length of 9 feet. ### Objective The task is to create shear and moment diagrams for each segment of the beam and to express the shear and moment as functions of \( x \) for the given ranges.
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Transcribed Image Text:### Problem Statement **6–8.** Draw the shear and moment diagrams for the beam, and determine the shear and moment throughout the beam as functions of \( x \) for \( 0 \leq x \leq 6 \text{ ft} \) and \( 6 \text{ ft} \leq x \leq 9 \text{ ft} \). --- ### Diagram Explanation The diagram represents a beam with two different segments: 1. **Distributed Load**: - A uniform distributed load of \( 2 \text{ kip/ft} \) acting over a span of 6 feet from the fixed end. 2. **Point Load**: - A point load of \( 4 \text{ kip} \) located at 6 feet from the fixed end. 3. **Moment**: - A moment of \( 20 \text{ kip-ft} \) applied at the free end. 4. **Beam Segments**: - The beam is divided into two segments by position \( x \): - \( 0 \leq x \leq 6 \text{ ft} \) under the distributed load. - \( 6 \text{ ft} \leq x \leq 9 \text{ ft} \) under the point load and moment. The horizontal axis indicates the position along the beam, creating a total length of 9 feet. ### Objective The task is to create shear and moment diagrams for each segment of the beam and to express the shear and moment as functions of \( x \) for the given ranges.
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