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PEB structures are a special type of steel structures. These are less common in our country, as compared to RC structures . Accordingly, very few firms or structural engineers design these structures. Some locally known such firms include Zamil Steel, PEB Steel, Mammut, Izhar Steel etc. Larger firms have their own design manuals (and in some cases, their own special software as well), which you may search on the internet. UmarMakhzumi has pointed out to the proper source & authority dealing with this type of structures. Analysis & design of PEB structures is similar to normal steel structures. However, MBMA Manual provides better design aids (based mainly on ASCE 7), especially with reference to application of wind loads to this type of steel structures. In addition, it has several detailed wind analysis examples dealing with Enclosed, Partially Enclosed & Open type steel buildings. This manual will be a very useful source for understanding the design of steel & PEB structures covered in MBMA , in case you already have a good command on the use of AISC Manual of Steel Construction.

ASD is an older method that is still practised by a lot of mechanical engineers to size pressure vessels and tanks. However, for structural engineering, everywhere, LRFD is used. Here is a detailed answer I read once somewhere on the internet and saved it as it was very interesting.