In most recent GSA Guidelines edition -2013 (GENERAL SERVICES ADMINISTRATION ALTERNATE PATH ANALYSIS & DESIGN GUIDELINES FOR PROGRESSIVE COLLAPSE RESISTANCE) you can find the failure criterion for both concrete (Chapter 4) and steel structures (Chapter 5).
For example, for concrete structures, the maximum plastic rotation for beams controlled by flexure, varies from 0.013rad to 0.063rad (Table 4.1 – page 39). This numbers are directly connected to the maximum vertical displacement and beam length θ = Δ/L (rotation = vertical displacement / beam length) – page B5.
So, by multiplying the maximum rotation to the beam length you will find the vertical displacement Δ =θxL.
Collapsible soil is metastable, its structural stability is related to lateral and vertical removal of fine particles by the subsurface flow leading settling, formation potholes or piping. Chemical and hydrodynamic collapses may be occurred referring to its original cementation. But treated collapsible soil Can be settled in reasonable Values.
I can't find exact permissible displacement in diagrid structural system.How much beam length should be considered for calculate permissible displacement?
when I increase displacement above certain limit load factor graph becomes unstable.I have taken 0.09m permissible displacement for my case where as in most of literature I found it is mote than 0.1m.when I take more displacement graph becomes unstable.please find attached image of graph for various displacement.