Franklin D. Roosevelt “Second Inaugural Address” (January 20, 1937)
This was the first inaugural on January 20th under the 20th Amendment (Ratified on January 23, 1933)
Source: Franklin D. Roosevelt: “Inaugural Address.,” January 20, 1937. Online by Gerhard Peters and John T. Woolley, The American Presidency Project. http://www.presidency.ucsb.edu/ws/?pid=15349