The diagram provided illustrates a beam loaded with a uniformly distributed load along its length. The task is to draw the shear force and moment diagrams for the given beam.### Description:- **Beam Configuration:** - The beam is simply supported with support at point A on the left and a roller support at point B on the right. - The beam is loaded with a triangularly distributed load across its span. - The peak intensity of the load is \( w_0 \) at the center of the beam.- **Span Details:** - The beam is divided into two equal segments, each of length \( \frac{L}{2} \).### Instructions:1. **Shear Force Diagram:** - Begin by calculating the reactions at supports A and B. - Then, use the calculated reactions and the distributed load to determine the shear force along the beam. - Plot the shear force distribution from A to B, noting where the force changes due to the triangular loading.2. **Moment Diagram:** - Using the shear force diagram, calculate the bending moment at various points along the beam. - Plot the moment distribution, identifying key points such as the maximum moment.This exercise provides insights into how loading conditions affect the internal forces within a structure, which is crucial for structural analysis and design.

Draw the shear force diagram and moment diagram for beam loaded as shown.

Answered: diagram for beam loaded as shown. wo…

Engineering

Mechanical Engineering

diagram for beam loaded as shown. wo Draw the shear force diagram and moment A L 2 L 2 Wo B

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

Bending Moment

In general, we can define the bending moment as the reaction induced when a certain amount of load or force is applied to an element which makes it bend.

Question

The diagram provided illustrates a beam loaded with a uniformly distributed load along its length. The task is to draw the shear force and moment diagrams for the given beam.

### Description:

- **Beam Configuration:**
- The beam is simply supported with support at point A on the left and a roller support at point B on the right.
- The beam is loaded with a triangularly distributed load across its span.
- The peak intensity of the load is \( w_0 \) at the center of the beam.

- **Span Details:**
- The beam is divided into two equal segments, each of length \( \frac{L}{2} \).

### Instructions:

1. **Shear Force Diagram:**
- Begin by calculating the reactions at supports A and B.
- Then, use the calculated reactions and the distributed load to determine the shear force along the beam.
- Plot the shear force distribution from A to B, noting where the force changes due to the triangular loading.

2. **Moment Diagram:**
- Using the shear force diagram, calculate the bending moment at various points along the beam.
- Plot the moment distribution, identifying key points such as the maximum moment.

This exercise provides insights into how loading conditions affect the internal forces within a structure, which is crucial for structural analysis and design.

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Step 2: Calculation of support reactions

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Step 3: Calculation of shear force diagram

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Step 4: Calculation of moment diagram

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