The permissible stress design approach has generally been replaced internationally by limit state design (also known as ultimate stress design, or in USA, Load and Resistance Factor Design, LRFD) as far as structural engineering is considered, except for some isolated cases.
In USA construction, allowable strength design (ASD) has not yet been completely superseded by limit state design except in the case of concrete, which changed from allowable strength design to limit state design in the 1960s. Wood, steel, and other materials are still frequently designed using allowable strength design, although LRFD is probably more commonly taught in the USA university system.