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 2.5 m 50 N CV D 1m 40 N/m 2.5 m E B 2 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 2.5 m 50 N CV D 1m 40 N/m 2.5 m E B 2 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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Transcribed Image Text:### Problem Description:
2. 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.
#### Tasks:
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 \( x = 2 \, \text{m} \) and \( x = 5 \, \text{m} \).
### Diagram Explanation:
- The diagram shows a cantilevered beam fixed at point B.
- A couple moment of 200 N·m is applied at point A causing a counterclockwise torque.
- A point force of 50 N is applied downward at point C.
- A uniformly distributed load of 40 N/m is applied along the section from D to E.
- The sectional distances are:
- A to C: 2.5 meters
- C to D: 1 meter
- D to E: 2.5 meters
- E to B (fixed end): 2 meters
Each section shows forces and distances for calculating shear and bending moments.
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