force 15[kN-m¹²] 2m 25 [kN] 2m + A 2m X ir a Find location of the application of the posulfont resultant to generate the proper moment of force about 0.
force 15[kN-m¹²] 2m 25 [kN] 2m + A 2m X ir a Find location of the application of the posulfont resultant to generate the proper moment of force about 0.
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
![### Problem Description
The diagram shows a beam and force distribution in a structural setting. The beam is horizontally aligned and fixed at point \( O \) on its left side. The following forces and dimensions are provided:
1. **Distributed Load:**
- A uniform distributed load of \( 15 \, \text{kN/m} \) acts on the left portion of the beam for a length of \( 4 \, \text{m} \).
2. **Point Load:**
- A vertical downward point load of \( 25 \, \text{kN} \) is applied at a distance of \( 2 \, \text{m} \) from the fixed point \( O \).
3. **Beam Segments:**
- The beam extends horizontally for \( 4 \, \text{m} \) from \( O \). This segment has an additional horizontal extension of \( 4 \, \text{m} \) from point \( A \).
### Task
**Question:** Determine the location of the resultant force to generate the proper moment of force about point \( O \).
### Diagram Explanation
- **Axes:**
- The \( x \)-axis is aligned along the beam (horizontally to the right).
- The \( y \)-axis is vertically upward.
- **Beam Structure:**
- The beam itself has a right-angle bend and then extends horizontally at the bend point.
- **Load Placement:**
- The distributed load occurs over the initial \( 4 \, \text{m} \).
- The point load is located \( 2 \, \text{m} \) vertically downward from the bent section.
### Solution Approach
The goal is to find the location for the application of the resultant force such that it correctly balances the moments about point \( O \). Utilize principles of static equilibrium to determine the centroid of the load distribution and calculate moments accordingly.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4c49c29d-b734-4891-8a07-7c122a77a78d%2F124f7cf2-e1fb-48fe-8a53-b091622d21c2%2Fxkbovwo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem Description
The diagram shows a beam and force distribution in a structural setting. The beam is horizontally aligned and fixed at point \( O \) on its left side. The following forces and dimensions are provided:
1. **Distributed Load:**
- A uniform distributed load of \( 15 \, \text{kN/m} \) acts on the left portion of the beam for a length of \( 4 \, \text{m} \).
2. **Point Load:**
- A vertical downward point load of \( 25 \, \text{kN} \) is applied at a distance of \( 2 \, \text{m} \) from the fixed point \( O \).
3. **Beam Segments:**
- The beam extends horizontally for \( 4 \, \text{m} \) from \( O \). This segment has an additional horizontal extension of \( 4 \, \text{m} \) from point \( A \).
### Task
**Question:** Determine the location of the resultant force to generate the proper moment of force about point \( O \).
### Diagram Explanation
- **Axes:**
- The \( x \)-axis is aligned along the beam (horizontally to the right).
- The \( y \)-axis is vertically upward.
- **Beam Structure:**
- The beam itself has a right-angle bend and then extends horizontally at the bend point.
- **Load Placement:**
- The distributed load occurs over the initial \( 4 \, \text{m} \).
- The point load is located \( 2 \, \text{m} \) vertically downward from the bent section.
### Solution Approach
The goal is to find the location for the application of the resultant force such that it correctly balances the moments about point \( O \). Utilize principles of static equilibrium to determine the centroid of the load distribution and calculate moments accordingly.
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