Select the lightest possible W-section for the beam shown in Figure 1. Assume Fy = 50 ksi , full compression flange lateral support, and exclude beam self-weight.

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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Select the lightest possible W-section for the beam shown in Figure 1. Assume Fy =
50 ksi , full compression flange lateral support, and exclude beam self-weight.

The image depicts a beam subjected to various loads. The beam is fixed on the left end, indicating a boundary condition that prevents movement. The applied loads are as follows:

- Two point loads, \( P_L = 6 \, \text{kips} \), act at specific intervals on the beam.
- A third point load, \( \frac{P_L}{2} = 3 \, \text{kips} \), is applied further along the beam.
- A uniform distributed load, \( w_D = 2.0 \, \text{kips/ft} \), is applied across the entire span of the beam.

The diagram illustrates the distances along the beam:

- Each section between loads is 6 feet long.
- The total span covered by the loads is 18 feet.

This setup is a common scenario in structural analysis, where understanding the effects of multiple load types on a beam is crucial for design and safety. The distributed load simulates consistent pressure along the beam, while the point loads represent concentrated forces at particular locations.
Transcribed Image Text:The image depicts a beam subjected to various loads. The beam is fixed on the left end, indicating a boundary condition that prevents movement. The applied loads are as follows: - Two point loads, \( P_L = 6 \, \text{kips} \), act at specific intervals on the beam. - A third point load, \( \frac{P_L}{2} = 3 \, \text{kips} \), is applied further along the beam. - A uniform distributed load, \( w_D = 2.0 \, \text{kips/ft} \), is applied across the entire span of the beam. The diagram illustrates the distances along the beam: - Each section between loads is 6 feet long. - The total span covered by the loads is 18 feet. This setup is a common scenario in structural analysis, where understanding the effects of multiple load types on a beam is crucial for design and safety. The distributed load simulates consistent pressure along the beam, while the point loads represent concentrated forces at particular locations.
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