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

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

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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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