Suppose a section of steel angle is used to support a structural beam, which would otherwise have no available bearing, as in the following sketch.
Assuming that appropriate connection/fixing on the side marked L1 is not an issue, how should the load-bearing capacity of the angle correctly be calculated?
Ordinarily, one can assume a cantilever is fixed at the wall, and deflection only occurs within L2, giving a boundary condition of zero slope. But here, angular deflection also occurs within the steel corner, so that's no longer the case, and it probably also depends on the radius/thickness of that corner as well as thickness of L2.
I don't know what property/ies to refer to for this, or the needed calculation, in real world steel angle.
- The beam spreads its load uniformly along the length of the angle (Z-axis), rather than a point load at some place along the angle, and the load is static not dynamic. It is supported close to the inner corner of the angle.
- We can ignore the beam itself, and its own bending. This question is purely about the angle as bearing, when supporting the end of the beam.
- For simplicity, assume it is fixed to the vertical element (weld or bolt) along the side L1, sufficiently that the primary mode of failure is distortion of the position of leg L2, or local distortion around the join of L1 and L2, rather than L1 or L2 developing "saddle like" distortion etc.
- A suitable scale for this might be t around say 5-10% of L1 or L2, and as with all simplified beam/deflection workings, assuming elastic behaviour and smaller scale distortions.