### Problem Statement:1. For the beam and loading shown below: a) Draw the shear and bending moment diagrams, and b) Determine the maximum absolute values of the shear and bending moment. - **Given Answers:** - \( A_x = 0 \) - \( A_y = 2.7 \, \text{kN ↑} \) - \( B_y = 8.1 \, \text{kN ↑} \) - \(|V_{\text{max}}| = 4.5 \, \text{kN} \) - \(|M_{\text{max}}| = 2.16 \, \text{kN m} \)---### Beam and Loading Description:- **Beam:** - The beam has a total length divided into two segments: 2.4 m from A to B, and 1.2 m from B to C.- **Support:** - There is a pin support at A and a roller support at B.- **Loading:** - A uniform distributed load (UDL) of 3 kN/m is applied over the entire length of the beam from A to C. - A point load of 3 kN is applied at point C.### Diagram Explanation:- **Distance and Positions:** - The beam spans horizontally from left to right. - Point A is located at the far left with a distance of 2.4 m to point B. - Point B is located 1.2 m away from point C.- **Loads:** - The UDL spans continuously over the beam, with small downward arrows indicating the distribution per meter. - A downward arrow at point C indicates a concentrated point load of 3 kN.### Additional Information:- **Shear and Moment Diagrams:** - Shear Force Diagram (SFD) and Bending Moment Diagram (BMD) are required. - The maximum and minimum values of shear force (\( V_{\text{max}} \)) and bending moment (\( M_{\text{max}} \)) need to be determined and were provided in the given answers.This problem involves analyzing the static equilibrium of the beam, calculating reactions at the supports, and constructing the SFD and BMD to determine the critical values.

Answered: Image /qna-images/answer/0dcaea62-b8b8-4285-9ea7-944a98d461df.jpg

For the beam and loading shown below: a) draw the shear and bending moment diagrams, and b) determine the maximum absolute values of the shear and bending moment. (Ans: Ax= 0, A, = 2.7 kN ↑, By = 8.1 kN ↑ ¡Vmax| = 4.5 kN, |Mmax| = 2.16 kN m) %3D %3D

For the beam and loading shown below: a) draw the shear and bending moment diagrams, and b) determine the maximum absolute values of the shear and bending moment. (Ans: Ax= 0, A, = 2.7 kN ↑, By = 8.1 kN ↑ ¡Vmax| = 4.5 kN, |Mmax| = 2.16 kN m) %3D %3D

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

### Problem Statement:

1. For the beam and loading shown below:
a) Draw the shear and bending moment diagrams, and
b) Determine the maximum absolute values of the shear and bending moment.

- **Given Answers:**
- \( A_x = 0 \)
- \( A_y = 2.7 \, \text{kN ↑} \)
- \( B_y = 8.1 \, \text{kN ↑} \)
- \(|V_{\text{max}}| = 4.5 \, \text{kN} \)
- \(|M_{\text{max}}| = 2.16 \, \text{kN m} \)

---

### Beam and Loading Description:

- **Beam:**
- The beam has a total length divided into two segments: 2.4 m from A to B, and 1.2 m from B to C.

- **Support:**
- There is a pin support at A and a roller support at B.

- **Loading:**
- A uniform distributed load (UDL) of 3 kN/m is applied over the entire length of the beam from A to C.
- A point load of 3 kN is applied at point C.

### Diagram Explanation:

- **Distance and Positions:**
- The beam spans horizontally from left to right.
- Point A is located at the far left with a distance of 2.4 m to point B.
- Point B is located 1.2 m away from point C.

- **Loads:**
- The UDL spans continuously over the beam, with small downward arrows indicating the distribution per meter.
- A downward arrow at point C indicates a concentrated point load of 3 kN.

### Additional Information:

- **Shear and Moment Diagrams:**
- Shear Force Diagram (SFD) and Bending Moment Diagram (BMD) are required.
- The maximum and minimum values of shear force (\( V_{\text{max}} \)) and bending moment (\( M_{\text{max}} \)) need to be determined and were provided in the given answers.

This problem involves analyzing the static equilibrium of the beam, calculating reactions at the supports, and constructing the SFD and BMD to determine the critical values.

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