Between 1968 and 1977, I rode on I-24 over Monteagle virtually every year from age 12 on. Then in 1982, I moved to Atlanta and drove it even more. Here is the history about what opened and when from '68 on. In 1968 I-24 on the northern slope of Montagle was already open to traffic. It presumably was constructed in the early 1960's. On top of Monteagle, the four-lane I-24 transitioned to the old three-lane section of US 41/64 that went down the south slope. Two lanes were westbound, for climbing traffic and one lane was eastbound down the mountain. I recall the south slope being signed for both US 41/64 AND I-24. At the south bottom of the mountain, the three-lane section widened back into I-24. This situation lasted until sometime after the summer of 1972.
By the summer of 1973, the new westbound lanes were opened to traffic on the south slope, basically in their current configuration. At that point, I-24 split the way it does now but with one difference. The old three-lane US 41/64 section was restriped and resigned as a one-way facility going eastbound for I-24. The old steep grade and substandard shoulders, etc remained as they were. Only the signs and stripes were changed. This condition continued until about 1983.
As I recall from 1983 till late 1986 or early 1987, the three-lane westbound I-24 that had been constructed in the early 1970's was striped as a four-lane facility with a jersey barrier down the middle and using part of the existing paved shoulders. All I-24 traffic used this side of the mountain while the eastbound side was totally rebuilt to modern interstate standards, complete with runaway truck ramps. The grade now is much more gradual, and is a far safer ride.