Jon20013 is right in regard to AWS D1.1, etc. structural standards.
The AWS code allows the inspector to perform NDT when necessary to back up visual findings; additionally, and most important, the engineer of record, the project drawings and specifications, which are part of the contract documents, delineate NDT types of tests, frequency of tests and acceptance criteria. Most of these are based on the codes and standards we use in the industry.
Basic specifications will have a section for Testing Lab services (section 0014 in most specs) which will sometimes specify NDT requirements such as ultrasonic tests or radiography. Sometimes the general notes of the drawing will specify special inspections including NDT.
I hope this helps, best regards,
Vonash