Determine the internal normal force, internal shear force, and internal moment passing through point E

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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M = 8 kip*ft , P = 8 kip , w = 1.3 kip/ft

Determine the internal normal force, internal shear force, and internal moment passing through point E.

This diagram represents a beam subjected to various forces and support reactions. The beam is horizontal and divided into several segments with specific lengths and loads applied to it. Below is a detailed explanation of each element displayed in the diagram:

1. **Support at Point A**: 
    - A moment, represented by the symbol \(M\), is applied at Point A. 

2. **Beam Segments and Lengths**:
    - Segment AD: This segment is 6 feet long.
    - Segment DB: This segment is also 6 feet long.
    - Segment BE: This segment is 4 feet long.
    - Segment EC: This segment is 4 feet long.

3. **Point Loads and Distributed Loads**:
    - A point load \(P\) is applied downward at Point D.
    - A uniformly distributed load (UDL), denoted by \(w\), is applied over segments BE and EC. The arrows pointing downward represent the distributed load.

4. **Fixed Support at Point C**: 
    - Point C represents a support that is capable of providing reactions to hold the beam in place.

Each force and dimension is significant in determining the reactions at the supports, the internal forces within the beam, and the moments at specific points. Understanding these factors is crucial in structural engineering for the design and analysis of beams subjected to various loads.
Transcribed Image Text:This diagram represents a beam subjected to various forces and support reactions. The beam is horizontal and divided into several segments with specific lengths and loads applied to it. Below is a detailed explanation of each element displayed in the diagram: 1. **Support at Point A**: - A moment, represented by the symbol \(M\), is applied at Point A. 2. **Beam Segments and Lengths**: - Segment AD: This segment is 6 feet long. - Segment DB: This segment is also 6 feet long. - Segment BE: This segment is 4 feet long. - Segment EC: This segment is 4 feet long. 3. **Point Loads and Distributed Loads**: - A point load \(P\) is applied downward at Point D. - A uniformly distributed load (UDL), denoted by \(w\), is applied over segments BE and EC. The arrows pointing downward represent the distributed load. 4. **Fixed Support at Point C**: - Point C represents a support that is capable of providing reactions to hold the beam in place. Each force and dimension is significant in determining the reactions at the supports, the internal forces within the beam, and the moments at specific points. Understanding these factors is crucial in structural engineering for the design and analysis of beams subjected to various loads.
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