Mechanical and Aerospace Engineering 

1946-2001 -under TJ1 .A5125 in Engineering Library and Library Annex. For verification, check Google or the journal Mechanical Engineering TJ1 .M48, which has a publications section listing ASME papers from 1978 through March 2002. 

2002-onwards  - issued as part of conference proceedings volumes, such as ASME International Mechanical Engineering Conference and Exposition. Use Google and Compendex to find publication numbers, search the library catalog for the conferences.

Another tool is Seventy-Seven Year Index: Technical Papers 1880-1956, Engr Reference TJ1 .A517. Also here is an index to 1957-1970.

Papers not held at Cornell may be requested through interlibrary loan.