600 N Lm (b)

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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4.1 and 5.2

**Beam Loading Analysis**

A 1-meter-long beam is subjected to a variety of loadings, as shown in the diagrams labeled (b), (d), and (e).

**Diagram (b):**
- The beam is labeled with points A and B.
- A force of 600 N is applied downwards at point A.
- A distance of \( L \) meters separates points A and B.
- A counterclockwise moment of 900 N·m is applied at point B.

**Diagram (d):**
- The beam experiences a 400 N force acting downwards at point A.
- An 800 N force acts downwards at point B, with a clockwise moment of 2300 N·m at B.

**Diagram (e):**
- A downward force of 400 N is applied at point A.
- A downward force of 200 N is applied at point B.
- A clockwise moment of 400 N·m is applied at point B.

**Task:**
For the beam and loading scenario depicted in diagram (b), determine:
- The single equivalent force for the beam.
- The distance from point A to the line of action for the beam.

**Solution:**
- The equivalent force for the beam is _____ N ↓.
- The distance from point A to its line of action for the beam is _____ m.
Transcribed Image Text:**Beam Loading Analysis** A 1-meter-long beam is subjected to a variety of loadings, as shown in the diagrams labeled (b), (d), and (e). **Diagram (b):** - The beam is labeled with points A and B. - A force of 600 N is applied downwards at point A. - A distance of \( L \) meters separates points A and B. - A counterclockwise moment of 900 N·m is applied at point B. **Diagram (d):** - The beam experiences a 400 N force acting downwards at point A. - An 800 N force acts downwards at point B, with a clockwise moment of 2300 N·m at B. **Diagram (e):** - A downward force of 400 N is applied at point A. - A downward force of 200 N is applied at point B. - A clockwise moment of 400 N·m is applied at point B. **Task:** For the beam and loading scenario depicted in diagram (b), determine: - The single equivalent force for the beam. - The distance from point A to the line of action for the beam. **Solution:** - The equivalent force for the beam is _____ N ↓. - The distance from point A to its line of action for the beam is _____ m.
**Problem Statement:**

Determine the single equivalent force and the distance from point A to its line of action for the beam and loading configuration shown in the figure.

**Parameters to Find:**

1. **Equivalent Force:**
   - The equivalent force for the beam is **[blank]** N ↑.

2. **Distance from Point A:**
   - The distance from point A to its line of action for the beam is **[blank]** m.

(Note: The above blanks are intended for users to input their calculated values based on the given loading and beam configuration in the figure.)
Transcribed Image Text:**Problem Statement:** Determine the single equivalent force and the distance from point A to its line of action for the beam and loading configuration shown in the figure. **Parameters to Find:** 1. **Equivalent Force:** - The equivalent force for the beam is **[blank]** N ↑. 2. **Distance from Point A:** - The distance from point A to its line of action for the beam is **[blank]** m. (Note: The above blanks are intended for users to input their calculated values based on the given loading and beam configuration in the figure.)
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