t diagram for this beam problem
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
Use Singularity functions to draw the shear and bending moment diagram for this beam problem in terms of F and L.

Transcribed Image Text:### Load Distribution on a Beam
This diagram illustrates the load distribution on a simply supported beam. Here, the parameters are defined as follows:
- **Beam AB**: This represents the length of the beam spanning from point A to point B.
- **Length of the beam (L)**: Total length of the beam AB.
- **Sections**:
- \( \frac{L}{6} \): The beam is divided into six equal parts.
- \( \frac{L}{3} \): Section of the beam which comprises two \(\frac{L}{6}\) segments.
#### Load Description:
- **Uniform Load** (\(w_0\)):
- Represented by red arrows.
- This portion of the load is distributed uniformly across a portion of the beam.
- **Point Load (F)**:
- Represented by a single black arrow.
- It acts at a specific point on the beam.
#### Explanation of Diagram:
1. **Support Points A and B**: These are at the extreme left and right ends of the beam respectively.
2. **Uniform Load Distribution**: The uniform load (\(w_0\)) is acting over the middle third section of the beam, indicated by five red downward arrows.
3. **Point Load (F)**: There is one significant load indicated at the right end of the uniformly distributed load section.
4. **Segmentation**:
- The beam is segmented into three parts, with two segments of \(\frac{L}{6}\) each at either end and a middle segment of \(\frac{L}{3}\) length.
This type of load distribution is typical in structural engineering when analyzing the forces and reactions in beams to ensure stability and structural integrity.
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