Without movement joints present, differential vertical settlement or displacement of permanent members such as walls, columns or beams supporting continuous concrete slabs can increase the ductility demand on critical regions. This is due to additional amounts of moment redistribution, which might be overlooked or ignored in normal structural design practice. Over the past six years, independent test series have been undertaken at three Australian universities, to primarily examine the detrimental effect support settlement could have on the load-carrying capacity of continuous one-way reinforced-concrete slabs incorporating low ductility (Class L) welded mesh. All peak moment regions of the slabs were under-reinforced, and tensile fracture of main bars ultimately occurred. Despite inducing large amounts of moment redistribution by imposing significant differential support settlement before loading the slabs to failure, these had little effect on their load-carrying capacity. This capacity was estimated either analytically or preferably from a test on a companion slab effectively tested in its original position without support settlement. When designing statically indeterminate members for strength to Australian Concrete Structures Standard AS 3600–2009, the elastically determined bending moments at any support may be redistributed, provided an analysis shows that the rotation capacity of critical moment regions is enough for the assumed distribution of bending moments to be achieved. However, undertaking such an analysis is beyond normal structural design practice. Accordingly, the results from the three independent tests series are used to develop a practical design method that suitably accounts for the effects of support settlement in this form of construction.