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
Section: Chapter Questions
Problem 1.1MA
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Question; draw and fully label the Freebody diagram of the CANTILEVERED BEAM in the picture below. 


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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