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. 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 A 50 N CV D 2.5 m 1m 40 N/m 2.5 m E B 2 m

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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The figure illustrates a cantilevered beam under various forces:

1. A uniformly distributed load (rectangular) of 40 N/m is applied along the section DE.
2. A 50 N point force is located at point C.
3. A 200 N·m couple moment is applied at the start of the beam.

The beam is marked with points A, C, D, E, and B, suggesting a sequence from left to right. The distances along the beam from point A to:
- C is 2.5 meters
- D is 1 meter beyond C
- E is 2.5 meters beyond D
- B is 2 meters beyond E

Tasks:
a. Develop equations for shear force and bending moment as functions of the distance (x), starting from the leftmost point A. These equations should apply to the entire length of the beam.

b. Using these equations, compute the shear force and bending moment at the specified distances: \( x = 2 \) meters and \( x = 5 \) meters.
Transcribed Image Text:The figure illustrates a cantilevered beam under various forces: 1. A uniformly distributed load (rectangular) of 40 N/m is applied along the section DE. 2. A 50 N point force is located at point C. 3. A 200 N·m couple moment is applied at the start of the beam. The beam is marked with points A, C, D, E, and B, suggesting a sequence from left to right. The distances along the beam from point A to: - C is 2.5 meters - D is 1 meter beyond C - E is 2.5 meters beyond D - B is 2 meters beyond E Tasks: a. Develop equations for shear force and bending moment as functions of the distance (x), starting from the leftmost point A. These equations should apply to the entire length of the beam. b. Using these equations, compute the shear force and bending moment at the specified distances: \( x = 2 \) meters and \( x = 5 \) meters.
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