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.

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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

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

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Concept explainers

Bending Moment

In general, we can define the bending moment as the reaction induced when a certain amount of load or force is applied to an element which makes it bend.

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.

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