10 kN (а) А B 3 т 3 m 10 kN (b) А B 4 т 2 m 1 kN/m (с) B 3 т 3 т

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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Plot the shear and moment diagrams of the systems below using the graphic method.

### Understanding Beam Diagrams and Load Distributions

In structural engineering, beam diagrams help in analyzing different systems to understand how loads are distributed along the length of beams. This helps in designing beams that can safely support applied loads. Below are three different beam diagrams, each demonstrating varied load distributions.

#### Diagram (a)
- **Description**: This diagram shows a simply supported beam with a length of 6 meters.
- **Supports**: The beam is supported at two points:
  - Point \( A \): A pin support (indicated by a triangle with a circle at the top).
  - Point \( B \): A roller support (indicated by a circle).
- **Load**: A concentrated load of 10 kN is applied at the midpoint of the beam.
- **Dimensions**: 
  - Distance from \( A \) to the load application point: 3 meters.
  - Distance from the load application point to \( B \): 3 meters.

#### Diagram (b)
- **Description**: This diagram also shows a simply supported beam, but this time slightly different in length and load placement. 
- **Supports**: 
  - Point \( A \): Pin support.
  - Point \( B \): Roller support.
- **Load**: A concentrated load of 10 kN is applied 4 meters from the left end (\( A \)).
- **Dimensions**:
  - Distance from \( A \) to the load application point: 4 meters.
  - Distance from the load application point to \( B \): 2 meters.

#### Diagram (c)
- **Description**: The third diagram shows a simply supported beam with a different type of load distribution.
- **Supports**:
  - Point \( A \): Pin support.
  - Point \( B \): Roller support.
- **Load**: A uniformly distributed load (UDL) of 1 kN/m over a length of 3 meters starting from the left end \( A \).
- **Dimensions**:
  - Length of the UDL: 3 meters from \( A \).
  - Remaining distance to \( B \): 3 meters.

These diagrams are essential for understanding how different types of loads (point loads and uniformly distributed loads) and their positions affect the beam's behavior. Engineers use this information to calculate reactions at the supports, shear forces, bending moments, and deflection of the beam, ensuring structural safety and efficiency
Transcribed Image Text:### Understanding Beam Diagrams and Load Distributions In structural engineering, beam diagrams help in analyzing different systems to understand how loads are distributed along the length of beams. This helps in designing beams that can safely support applied loads. Below are three different beam diagrams, each demonstrating varied load distributions. #### Diagram (a) - **Description**: This diagram shows a simply supported beam with a length of 6 meters. - **Supports**: The beam is supported at two points: - Point \( A \): A pin support (indicated by a triangle with a circle at the top). - Point \( B \): A roller support (indicated by a circle). - **Load**: A concentrated load of 10 kN is applied at the midpoint of the beam. - **Dimensions**: - Distance from \( A \) to the load application point: 3 meters. - Distance from the load application point to \( B \): 3 meters. #### Diagram (b) - **Description**: This diagram also shows a simply supported beam, but this time slightly different in length and load placement. - **Supports**: - Point \( A \): Pin support. - Point \( B \): Roller support. - **Load**: A concentrated load of 10 kN is applied 4 meters from the left end (\( A \)). - **Dimensions**: - Distance from \( A \) to the load application point: 4 meters. - Distance from the load application point to \( B \): 2 meters. #### Diagram (c) - **Description**: The third diagram shows a simply supported beam with a different type of load distribution. - **Supports**: - Point \( A \): Pin support. - Point \( B \): Roller support. - **Load**: A uniformly distributed load (UDL) of 1 kN/m over a length of 3 meters starting from the left end \( A \). - **Dimensions**: - Length of the UDL: 3 meters from \( A \). - Remaining distance to \( B \): 3 meters. These diagrams are essential for understanding how different types of loads (point loads and uniformly distributed loads) and their positions affect the beam's behavior. Engineers use this information to calculate reactions at the supports, shear forces, bending moments, and deflection of the beam, ensuring structural safety and efficiency
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