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
icon
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.
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.
Expert Solution
Step 1

Find the location of the application of the resultant force from point O

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Radiation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY