The figure shows a cantilevered beam, subjected to a uniformly distributed (rectangular) 40 N/m force along the section DE, a 50 N point force at point C, and a 200 N·m couple moment. a. Write the shear-force and bending-moment equations as a function of distance, x, measured from the leftmost point, A, for the entire beam. b. Using your shear-force and bending-moment equations, calculate the shear force and bending moment at x = 2 m and x = 5 m. 200 N-m 50 N 40 N/m

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
The figure illustrates a cantilevered beam subjected to various forces and moments. The setup includes:

- A uniformly distributed load of 40 N/m along the section DE.
- A point force of 50 N acting downward at point C.
- A counterclockwise couple moment of 200 N·m at point A.

The beam is divided into several segments:

- From A to C is 2.5 m.
- From C to D is 1 m.
- From D to E is 2.5 m.
- From E to the end B is 2 m.

### Tasks:

a. **Write Shear-Force and Bending-Moment Equations:**
   Develop equations to express the shear force and bending moment as functions of distance, x, measured from the leftmost point A, encompassing the entire beam.

b. **Calculate Shear Force and Bending Moment:**
   Using the derived equations, determine the shear force and bending moment at:
   - \( x = 2 \, \text{m} \)
   - \( x = 5 \, \text{m} \)

### Diagram Explanation:

- **Couple Moment at A:** Indicated by a curved arrow, showing rotation counterclockwise.
- **Point Force at C:** A single downward arrow labeling 50 N.
- **Uniform Load from D to E:** Horizontal arrows pointing downward, labeled 40 N/m, representing a distributed force.
Transcribed Image Text:The figure illustrates a cantilevered beam subjected to various forces and moments. The setup includes: - A uniformly distributed load of 40 N/m along the section DE. - A point force of 50 N acting downward at point C. - A counterclockwise couple moment of 200 N·m at point A. The beam is divided into several segments: - From A to C is 2.5 m. - From C to D is 1 m. - From D to E is 2.5 m. - From E to the end B is 2 m. ### Tasks: a. **Write Shear-Force and Bending-Moment Equations:** Develop equations to express the shear force and bending moment as functions of distance, x, measured from the leftmost point A, encompassing the entire beam. b. **Calculate Shear Force and Bending Moment:** Using the derived equations, determine the shear force and bending moment at: - \( x = 2 \, \text{m} \) - \( x = 5 \, \text{m} \) ### Diagram Explanation: - **Couple Moment at A:** Indicated by a curved arrow, showing rotation counterclockwise. - **Point Force at C:** A single downward arrow labeling 50 N. - **Uniform Load from D to E:** Horizontal arrows pointing downward, labeled 40 N/m, representing a distributed force.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Knowledge Booster
Bending
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