Use Singularity functions to draw the shear and bending moment diagram for this beam problem in terms of F and L. ### Load Distribution on a BeamThis 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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Engineering

Mechanical Engineering

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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Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

Use Singularity functions to draw the shear and bending moment diagram for this beam problem in terms of F and L.

### 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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