This is the Chuck Yeager Bridge. The bridge is truss with an arch in the middle almost like the I-275 Ohio River bridge and the I-57 Mississippi River Bridge. A twin structure was added for northbound traffic at some later date. I-64 crosses the Kanawha River four times in the Charleston area including here. The first bridge I commented on, the second is concrete and a twin structure is nearing completion beside it, and the third is interesting the way it looks like a big modern bowstring truss. Charleston does have a great collection of bridges.
I should have been more specific. This bridge carries SB I-64/77 where the WV turnpike begins. The turnpike was two lanes until the interstates were constructed and the NB bridge was added. The I-64 bridge that looks like a bowstring in downtown Charleston is called the Eugene A. Carter or Fort Hill Bridge.