Write shear and moment equations then plot shear and moment diagrams. Thank you very much. ### Beam Analysis DiagramThis diagram illustrates a beam subjected to various forces and reactions. Below is an explanation of the components and forces acting on the beam:1. **Load Distribution:** - The beam has a uniformly distributed load (UDL) of 10 N/m over a length of 4 meters. - This UDL is depicted in the red rectangular area on the left side of the beam with arrows pointing downwards.2. **Point Loads:** - There are point loads of 30 N indicated by arrows at two points on the beam. The arrows denote the direction and magnitude of these vertical forces. These point loads are applied at a distance of 7 meters from the left end.3. **Reactions:** - Reaction force \( R_1 = 30 \, \text{N} \) at the left support. - Reaction force \( R_2 = 40 \, \text{N} \) at the right support.4. **Beam Segments:** - The distances between these loads and reactions along the beam are specified. - From left to right: - \(2 \, \text{m} \) to the start of the UDL. - \(1 \, \text{m} \) covers a portion of the UDL segment. - \(2 \, \text{m} \) further covering UDL. - \(2 \, \text{m} \) leading towards the point load. - \(2 \, \text{m} \) to the point load at the extreme right.### UsageThis diagram can be used for educational purposes to teach students about statically determinate beam structures, examining support reactions, understanding shear forces, and bending moments. It demonstrates how loads applied across a beam cause reactions at the supports and influences across different sections of the beam.### Concepts Illustrated:- **Uniformly Distributed Load (UDL)**: Load spread evenly across a length of the beam.- **Point Load**: Single load acting at a specific point on the beam.- **Reaction Forces**: Forces exerted by the supports to maintain equilibrium.- **Beam Sections**: Designated segments along the beam for analytical purposes.### ObjectiveTo provide a visual understanding of how different loads impact a beam structure, essential for subjects like structural engineering, physics, and applied mechanics, and aiding in solving problems related

Answered: hear and moment equations then plot…

Engineering

Civil Engineering

hear and moment equations then plot shear and moment diagram

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

Write shear and moment equations then plot shear and moment diagrams. Thank you very much.

### Beam Analysis Diagram

This diagram illustrates a beam subjected to various forces and reactions. Below is an explanation of the components and forces acting on the beam:

1. **Load Distribution:**
- The beam has a uniformly distributed load (UDL) of 10 N/m over a length of 4 meters.
- This UDL is depicted in the red rectangular area on the left side of the beam with arrows pointing downwards.

2. **Point Loads:**
- There are point loads of 30 N indicated by arrows at two points on the beam. The arrows denote the direction and magnitude of these vertical forces. These point loads are applied at a distance of 7 meters from the left end.

3. **Reactions:**
- Reaction force \( R_1 = 30 \, \text{N} \) at the left support.
- Reaction force \( R_2 = 40 \, \text{N} \) at the right support.

4. **Beam Segments:**
- The distances between these loads and reactions along the beam are specified.
- From left to right:
- \(2 \, \text{m} \) to the start of the UDL.
- \(1 \, \text{m} \) covers a portion of the UDL segment.
- \(2 \, \text{m} \) further covering UDL.
- \(2 \, \text{m} \) leading towards the point load.
- \(2 \, \text{m} \) to the point load at the extreme right.

### Usage
This diagram can be used for educational purposes to teach students about statically determinate beam structures, examining support reactions, understanding shear forces, and bending moments. It demonstrates how loads applied across a beam cause reactions at the supports and influences across different sections of the beam.

### Concepts Illustrated:
- **Uniformly Distributed Load (UDL)**: Load spread evenly across a length of the beam.
- **Point Load**: Single load acting at a specific point on the beam.
- **Reaction Forces**: Forces exerted by the supports to maintain equilibrium.
- **Beam Sections**: Designated segments along the beam for analytical purposes.

### Objective
To provide a visual understanding of how different loads impact a beam structure, essential for subjects like structural engineering, physics, and applied mechanics, and aiding in solving problems related

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