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
Related questions
Question
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fed59431e-03fe-4a4d-a12d-387ad46dfe48%2F62b8f2e4-8d83-4b84-9fea-8f7e31cfc12b%2Faoyichk_processed.jpeg&w=3840&q=75)
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
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
Recommended textbooks for you
![Elements Of Electromagnetics](https://www.bartleby.com/isbn_cover_images/9780190698614/9780190698614_smallCoverImage.gif)
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
![Mechanics of Materials (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134319650/9780134319650_smallCoverImage.gif)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
![Thermodynamics: An Engineering Approach](https://www.bartleby.com/isbn_cover_images/9781259822674/9781259822674_smallCoverImage.gif)
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
![Elements Of Electromagnetics](https://www.bartleby.com/isbn_cover_images/9780190698614/9780190698614_smallCoverImage.gif)
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
![Mechanics of Materials (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134319650/9780134319650_smallCoverImage.gif)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
![Thermodynamics: An Engineering Approach](https://www.bartleby.com/isbn_cover_images/9781259822674/9781259822674_smallCoverImage.gif)
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
![Control Systems Engineering](https://www.bartleby.com/isbn_cover_images/9781118170519/9781118170519_smallCoverImage.gif)
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
![Mechanics of Materials (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781337093347/9781337093347_smallCoverImage.gif)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
![Engineering Mechanics: Statics](https://www.bartleby.com/isbn_cover_images/9781118807330/9781118807330_smallCoverImage.gif)
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY