6 kN 30° 30° 1.5 m 4 kN -1.5 m-

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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USE IMAGE BELOW Question; draw and fully label the Freebody diagram of the CANTILEVERED BEAM in the picture below.  
### Structural Analysis of a Hinged Beam Under Forces 

In this diagram, we have a structural representation of a hinged beam subjected to various forces and a supportive cable.

#### Key Features of the Diagram:

- **Beam Configuration**:
  - The beam is divided into three segments: 
    - The first and second horizontal segments (each 1.5 meters in length).
    - The third segment inclined at an angle of 30° from the horizontal, also 1.5 meters long.

- **Fixed Support**:
  - Point **A** is the fixed support where the beam is anchored to a wall or a rigid structure.

- **Forces Acting on the Beam**:
  - A downward vertical force of **6 kN** is applied on the beam at the junction between the first and second segments (3 meters from support A).
  - There is a tensile force of **4 kN** acting along a cable attached to the third segment of the beam, oriented at an angle of 30° to the right from the inclined segment of the beam.

- **Angles and Dimensions**:
  - The angles for the inclined beam segment and the force applied by the cable are both **30 degrees**.
  - The total horizontal span of the beam is **3 meters** before the inclination starts.

### Descriptive Breakdown:

1. **Point A**:
   - Acts as the pivot or fixed support, resisting movement in both vertical and horizontal directions due to the fixed nature of the connection.

2. **First Section (0 - 1.5 m)**:
   - Extends horizontally from the fixed support to the point of application of the vertical load.
  
3. **Second Section (1.5 m - 3 m)**:
   - Continues horizontally from the end of the first section to the beginning of the inclined section.
   - Vertical force of 6 kN is applied 1.5 meters from the start of this section.

4. **Third Section (Inclined)**:
   - Begins at 3 meters from the start and extends 1.5 meters at a 30° angle upwards.
   - This section is subjected to a cable tension force of 4 kN, applied at an angle of 30° to the horizontal.

### Educational Objective:

Understanding this diagram is crucial for learning about the equilibrium of forces and moments in static structures. It demonstrates how different forces and supports act on a structural member and helps in
Transcribed Image Text:### Structural Analysis of a Hinged Beam Under Forces In this diagram, we have a structural representation of a hinged beam subjected to various forces and a supportive cable. #### Key Features of the Diagram: - **Beam Configuration**: - The beam is divided into three segments: - The first and second horizontal segments (each 1.5 meters in length). - The third segment inclined at an angle of 30° from the horizontal, also 1.5 meters long. - **Fixed Support**: - Point **A** is the fixed support where the beam is anchored to a wall or a rigid structure. - **Forces Acting on the Beam**: - A downward vertical force of **6 kN** is applied on the beam at the junction between the first and second segments (3 meters from support A). - There is a tensile force of **4 kN** acting along a cable attached to the third segment of the beam, oriented at an angle of 30° to the right from the inclined segment of the beam. - **Angles and Dimensions**: - The angles for the inclined beam segment and the force applied by the cable are both **30 degrees**. - The total horizontal span of the beam is **3 meters** before the inclination starts. ### Descriptive Breakdown: 1. **Point A**: - Acts as the pivot or fixed support, resisting movement in both vertical and horizontal directions due to the fixed nature of the connection. 2. **First Section (0 - 1.5 m)**: - Extends horizontally from the fixed support to the point of application of the vertical load. 3. **Second Section (1.5 m - 3 m)**: - Continues horizontally from the end of the first section to the beginning of the inclined section. - Vertical force of 6 kN is applied 1.5 meters from the start of this section. 4. **Third Section (Inclined)**: - Begins at 3 meters from the start and extends 1.5 meters at a 30° angle upwards. - This section is subjected to a cable tension force of 4 kN, applied at an angle of 30° to the horizontal. ### Educational Objective: Understanding this diagram is crucial for learning about the equilibrium of forces and moments in static structures. It demonstrates how different forces and supports act on a structural member and helps in
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