### Problem 3#### Objective:Draw the moment diagram for the beam using the **method of superposition**.#### Beam Diagram:The beam is simply supported at two points (A and B) and is subjected to the following loads:- A uniformly distributed load of 10 kN/m over a span of 8 meters from point A to point B.- A point moment of 80 kN·m applied at point B.- A point load of 25 kN applied at point C, 4 meters from point B.#### Diagram Explanation:- **Support A**: Simply supported, located at one end of the beam.- **Support B**: Simply supported, located 8 meters from support A.- **Point C**: Located 4 meters from support B (or 12 meters from support A).#### Detailed Components:1. **Uniformly Distributed Load (UDL)**: - Magnitude: 10 kN/m. - Span: 8 m from support A to support B.2. **Point Moment**: - Magnitude: 80 kN·m. - Applied at point B.3. **Point Load**: - Magnitude: 25 kN. - Applied at point C (12 meters from support A and 4 meters from support B).#### Dimensions:- The total length of the beam is 12 meters.- Segment AB: 8 meters.- Segment BC: 4 meters.### Visual Representation:The beam diagram is illustrated with the following notation:- **A horizontal beam** extends horizontally with supports and loads marked.- **Downward arrows** indicate the uniformly distributed load (UDL).- **Curved arrow** at point B shows the applied moment.- **Vertical arrow** at point C denotes the point load.Use this detailed information about the loads and supports to draw the moment diagram, applying the method of superposition to determine the moments along the beam.

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Answered: Draw the moment diagram for the beam…

Engineering

Civil Engineering

Draw the moment diagram for the beam using the method of superposition. 10 kN/m 8 m 80 kN-m -4 m 25 KN C

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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Concept explainers

Frames

The trusses and frames are the two most important structural members of civil engineering. Trusses are the interconnection of links and other structural members. The interconnection with other members makes the system behave as a single member that supports and transfers loads. Trusses are generally two types, plane truss, and space truss. Frames on the other hand form the skeleton of any building construction. Frames are structures formed by the connection of beams, columns, slabs, and joists. These members provide the building with the required structural support.

Question

### Problem 3

#### Objective:
Draw the moment diagram for the beam using the **method of superposition**.

#### Beam Diagram:
The beam is simply supported at two points (A and B) and is subjected to the following loads:
- A uniformly distributed load of 10 kN/m over a span of 8 meters from point A to point B.
- A point moment of 80 kN·m applied at point B.
- A point load of 25 kN applied at point C, 4 meters from point B.

#### Diagram Explanation:
- **Support A**: Simply supported, located at one end of the beam.
- **Support B**: Simply supported, located 8 meters from support A.
- **Point C**: Located 4 meters from support B (or 12 meters from support A).

#### Detailed Components:
1. **Uniformly Distributed Load (UDL)**:
- Magnitude: 10 kN/m.
- Span: 8 m from support A to support B.

2. **Point Moment**:
- Magnitude: 80 kN·m.
- Applied at point B.

3. **Point Load**:
- Magnitude: 25 kN.
- Applied at point C (12 meters from support A and 4 meters from support B).

#### Dimensions:
- The total length of the beam is 12 meters.
- Segment AB: 8 meters.
- Segment BC: 4 meters.

### Visual Representation:
The beam diagram is illustrated with the following notation:
- **A horizontal beam** extends horizontally with supports and loads marked.
- **Downward arrows** indicate the uniformly distributed load (UDL).
- **Curved arrow** at point B shows the applied moment.
- **Vertical arrow** at point C denotes the point load.

Use this detailed information about the loads and supports to draw the moment diagram, applying the method of superposition to determine the moments along the beam.

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