6) A pin is on the left and a roller is on the right. 200 N/m A) and B. B) A₁ = Ay= By= 400 N/m Show a FBD with the resultants of the distributed loads and support reactic What are the support reactions?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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## Problem Statement

6) A pin is on the left and a roller is on the right.

---

### Diagram Explanation:

The given diagram displays a beam with a pin support at point A on the left and a roller support at point B on the right. The beam is subjected to a linearly varying distributed load, which has a value of 200 N/m over a 4 m segment from point A and increases to 400 N/m over a 3 m segment until point B. 

- The length between point A and the start of the varying load is 4 meters.
- The remaining length from the end of the 4 meters to point B is 3 meters.

#### Distributed Load Details:

- Over the first 4 meters: The load is constant at 200 N/m.
- Over the next 3 meters: The load increases linearly from 200 N/m to 400 N/m.

---

### Questions:

A) Draw a Free Body Diagram (FBD) with the resultants of the distributed loads and support reactions at A and B.

B) Calculate and provide the values of the support reactions.

   - \( A_x = \) ______________

   - \( A_y = \) ______________

   - \( B_y = \) ______________
Transcribed Image Text:## Problem Statement 6) A pin is on the left and a roller is on the right. --- ### Diagram Explanation: The given diagram displays a beam with a pin support at point A on the left and a roller support at point B on the right. The beam is subjected to a linearly varying distributed load, which has a value of 200 N/m over a 4 m segment from point A and increases to 400 N/m over a 3 m segment until point B. - The length between point A and the start of the varying load is 4 meters. - The remaining length from the end of the 4 meters to point B is 3 meters. #### Distributed Load Details: - Over the first 4 meters: The load is constant at 200 N/m. - Over the next 3 meters: The load increases linearly from 200 N/m to 400 N/m. --- ### Questions: A) Draw a Free Body Diagram (FBD) with the resultants of the distributed loads and support reactions at A and B. B) Calculate and provide the values of the support reactions. - \( A_x = \) ______________ - \( A_y = \) ______________ - \( B_y = \) ______________
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