A building owner has decided to build a canopy over a small alley next to his
building that he owns. However, the adjacent building owner does not want any
bolts or anchors into his building. Therefore, the joint at the owners building
(point A) is a simple vertical plate that can freely move up and down, but cannot
rotate. The roof beam is also supported by a pin joint at its center (point B).
Finally, the roof beam is fixed into the owner's building at point C.
What is known:
- The canopy roof beams are standard 2x4 structural steel tubes. The 4 inch
dimension is in the vertical direction.
- The roof load produces 50 lb/in on a typical beam.
- Assume the steel stiffness, E, is 29,000 ksi.
- The total length of the canopy roof beam is 120 inches.