ASME does not write "how to" codes. The employer is responsible for assigning employees to those tasks they are qualified to perform. That is in contrast to AWS welding codes that are a recipe of how to make an acceptable weld starting with the design, fabrication, and inspection. ASME expects the person assigned to the task, whatever it is, to have the expertise to do the job correctly.
AWS welding codes maybe a good resource when one needs some answers such as the one asked in this post. Look in the AWS
D1.1 if welding carbon steel, D1.2 if welding aluminum, etc. It is a starting point and may not be applicable in all case, but as I said, it is a starting point. The D10.X can be good resources if you are welding pipe.
Al