The 1964 postcard of this bridge shows two curved t-beams. I found that these still are standing today. I am guessing there are not many of these remaining in Tennessee, so I added them:
http://bridgehunter.com/tn/hamilton/bh56595/
http://bridgehunter.com/tn/hamilton/bh56594/
Martha, do you have any photos of these bridges?
Unfortunately, the curved t-beams were replaced in 2013 when the bridges were widened to 10 lanes.