Question #1: Determine the shear, axial, and bending moment distributions for the loaded beam shown below. Write equations for axial and shear forces as well as bending moment as a function of distance along the beam from left to right. Also, sketch graphs of shear and axial forces and bending moments.

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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PLEASE ANSWER QUESTION 2

### Question #2:
**Same instructions as for problem #1 except use the loaded beam below:**

#### Diagram Description:

- A simply supported beam with point \( A \) on the left end of the beam and a roller on the right end. 
- The beam is 8 feet in length.
- From the left end (point \( A \)), there is a uniformly distributed load of 10 lb/ft acting over a length of 6 feet.
- Additionally, there are several concentrated loads and a moment acting on the beam:
  - A 100 lb point load is applied at 3 feet from \( A \).
  - Another non-uniformly distributed load increases from 0 lb/ft to 20 lb/ft over the next 3 feet (between 3 ft to 6 ft from \( A \)).
  - A 300 ft-lb clockwise moment is applied at the right-end of the beam (8 feet from \( A \)).
- The lengths and positions are marked on the diagram: 
  - The beam is divided into sections with distances annotated as "3 ft", "3 ft", "1 ft", and "1 ft" respectively from left to right.

This detailed breakdown of loading conditions and dimensions should help you solve the problem using statics principles.
Transcribed Image Text:### Question #2: **Same instructions as for problem #1 except use the loaded beam below:** #### Diagram Description: - A simply supported beam with point \( A \) on the left end of the beam and a roller on the right end. - The beam is 8 feet in length. - From the left end (point \( A \)), there is a uniformly distributed load of 10 lb/ft acting over a length of 6 feet. - Additionally, there are several concentrated loads and a moment acting on the beam: - A 100 lb point load is applied at 3 feet from \( A \). - Another non-uniformly distributed load increases from 0 lb/ft to 20 lb/ft over the next 3 feet (between 3 ft to 6 ft from \( A \)). - A 300 ft-lb clockwise moment is applied at the right-end of the beam (8 feet from \( A \)). - The lengths and positions are marked on the diagram: - The beam is divided into sections with distances annotated as "3 ft", "3 ft", "1 ft", and "1 ft" respectively from left to right. This detailed breakdown of loading conditions and dimensions should help you solve the problem using statics principles.
**Question #1:** Determine the shear, axial, and bending moment distributions for the loaded beam shown below. Write equations for axial and shear forces as well as bending moment as a function of distance along the beam from left to right. Also, sketch graphs of shear and axial forces and bending moments.

*(Below the text is a diagram of a beam with the following characteristics)*:

1. A simply supported beam with a total length of 18 ft.
2. The beam has two supports: a pin support at the left end and a roller support 3 ft from the right end.
3. There is a uniformly distributed load of 10 lb/ft applied along the entire length of the beam.
4. Additionally, there is a point load of 30 lb acting downward at a distance of 9 ft (measured from the left end of the beam).
5. The distances from left to right along the beam are as follows:
   - Left end to point load: 6 ft
   - Distance between the load and the roller support: 9 ft
   - Distance from the roller support to the right end of the beam: 3 ft

*Note: The task requires determining and plotting the distributions of shear force, axial force, and bending moment along the length of the beam.*
Transcribed Image Text:**Question #1:** Determine the shear, axial, and bending moment distributions for the loaded beam shown below. Write equations for axial and shear forces as well as bending moment as a function of distance along the beam from left to right. Also, sketch graphs of shear and axial forces and bending moments. *(Below the text is a diagram of a beam with the following characteristics)*: 1. A simply supported beam with a total length of 18 ft. 2. The beam has two supports: a pin support at the left end and a roller support 3 ft from the right end. 3. There is a uniformly distributed load of 10 lb/ft applied along the entire length of the beam. 4. Additionally, there is a point load of 30 lb acting downward at a distance of 9 ft (measured from the left end of the beam). 5. The distances from left to right along the beam are as follows: - Left end to point load: 6 ft - Distance between the load and the roller support: 9 ft - Distance from the roller support to the right end of the beam: 3 ft *Note: The task requires determining and plotting the distributions of shear force, axial force, and bending moment along the length of the beam.*
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