etermine the magnitude of the resultant force. Express your answer to three

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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Replace the distributed loading by an equivalent resultant force. Suppose that w1 = 3.2 kN/m and w2 = 2.4 kN/m. (Figure 1)

 

Part A

Determine the magnitude of the resultant force.
Express your answer to three significant figures and include the appropriate units.
 

Part B

Determine the direction angle of the resultant force measured counterclockwise from the negative x direction.
Express your answer using three significant figures.
 

Part C

Specify where the force line of action intersects a vertical line along member BC, measured from C.
Express your answer to three significant figures and include the appropriate units.
The diagram illustrates an L-shaped beam assembly subjected to distributed loads. The beam is anchored at point A and has two distinct segments:

1. **Horizontal Segment AB**: 
   - Length: 3 meters
   - Positioned along the negative x-axis
   - Subjected to a uniformly distributed load denoted as \( w_1 \), acting downward in the negative y-direction.

2. **Vertical Segment BC**: 
   - Length: 4 meters
   - Positioned along the positive y-axis
   - Subjected to a uniformly distributed load denoted as \( w_2 \), acting toward the negative x-direction.

Points of interest include:
- **Point A**: The fixed support for the beam structure, depicted with a wall bracket.
- **Point B**: The junction between segments AB and BC.
- **Point C**: The terminus of segment BC, illustrated with a roller support resting on the ground.

Axes are labeled with \( x \) and \( y \) to indicate directions, providing a reference for load and displacement analysis. This setup is commonly used in structural analysis to understand the behavior of beams under various loadings.
Transcribed Image Text:The diagram illustrates an L-shaped beam assembly subjected to distributed loads. The beam is anchored at point A and has two distinct segments: 1. **Horizontal Segment AB**: - Length: 3 meters - Positioned along the negative x-axis - Subjected to a uniformly distributed load denoted as \( w_1 \), acting downward in the negative y-direction. 2. **Vertical Segment BC**: - Length: 4 meters - Positioned along the positive y-axis - Subjected to a uniformly distributed load denoted as \( w_2 \), acting toward the negative x-direction. Points of interest include: - **Point A**: The fixed support for the beam structure, depicted with a wall bracket. - **Point B**: The junction between segments AB and BC. - **Point C**: The terminus of segment BC, illustrated with a roller support resting on the ground. Axes are labeled with \( x \) and \( y \) to indicate directions, providing a reference for load and displacement analysis. This setup is commonly used in structural analysis to understand the behavior of beams under various loadings.
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