Shear and Bending Diagrams

Shear and bending moment diagram envelopes for slab, and frames.

Slab Diagrams

Only two factored loads bear one factored load on the slab.

  • A continuous load wu,slab due to the dead weight of the elements themselves, the live roof load, and the live rain load.
  • A point load Pu,slab due to the weight of the A/C unit. It is considered as a live load since its actual weight and location are not available at this time.–Assume the HVAC unit sits on a pad to the side.

Both L-shaped (one end continuous) end slab section, and inverted U-shaped (both ends continuous) intermediate slab sections need to be considered.

Beam Diagrams

In addition to the dead weight of the beams, the same loads bearing on the slab are borne by the beams in turn: wu,beam, Pu,beam. The beams are symmetrical and only half of one beam needs to be analyzed as fixed at the center and overhanging a support. However, it may be simpler to consider two parts of the beam. The center has both ends fixed (continuous), and a cantilever sticks off either side.

The end beams have the same loading profiles as intermediate beams, but as the loading is all smaller in magnitude, these need not be analyzed seperately.

Column Diagrams

The columns are subject to point loading Pu,col from the top due to the loads on the beams, and are also subject to lateral wind loading, wu,wind. The columns may be considered as fixed at the top (a vertical cantilever), and pin-supported at the bottom.

The end columns have the same loading profiles as intermediate beams, but as they are only smaller in magnitude, they need not be analyzed. Because of symmetrical loading and support (the columns are all considered as pinned at the bottom), only one column needs to be analyzed under various factored loading conditions.


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