Determine the reactions at the supports for the beam show.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Determine the reactions at the supports for the beam show.

Transcribed Image Text:The diagram illustrates a beam supported at two points, labeled A and B, with a total span of 40 feet, divided into segments of 10 feet, 20 feet, and 10 feet. The beam experiences several different load types:
1. **Uniformly Distributed Load (UDL):**
- On the left section (from the start to point A), there is a triangular distributed load starting at 3 kips per foot (k/ft) and tapering to 0 k/ft.
- On the central section (between points A and B), there is a constant distributed load of 2 k/ft across 20 feet.
2. **Concentrated Loads:**
- A clockwise moment of 30 kip-feet is applied at the right end of the beam.
- A couple moment of 60 kip-feet is applied at point B.
The supports appear to be pinned at point A and a roller at point B, indicating that the beam is simply supported. The loading conditions will cause bending moments and shear forces within the beam, which are crucial for structural analysis and design.
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