Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
509827 | Computers & Structures | 2013 | 13 Pages |
•Yield surfaces of composite beam sections are numerically computed.•Computed yield surfaces are approximated by a Minkowski sum of ellipsoids.•Static and kinematic approaches are formulated using finite elements and SOCP.•Limit loads estimates on a complex frame structure are obtained within seconds.
The present contribution advocates an up-scaling procedure for computing the limit loads of spatial structures made of composite beams. The resolution of an auxiliary yield design problem leads to the determination of a yield surface in the space of axial force and bending moments. A general method for approximating the numerically computed yield surface by a sum of several ellipsoids is developed. The so-obtained analytical expression of the criterion is then incorporated in the yield design calculations of the whole structure, using second-order cone programming techniques. An illustrative application to a complex spatial frame structure is presented.