Is an eldritch knight melee build any good? I know that it won't as good of a caster as a pure wizard or as good at melee as a magus, but its a better caster than a magus and a better melee fighter than a wizard. You could go with a 2h power attacking strength build and with your full BAB you could get 4 attacks compared to the magus' 3. Not to mention access to a more varied spell list and 7-9th level spells.
There are two main issues with the Eldritch Knight, and they can be summed up with one word: MAGUS.
1. The EK doesn't have any easy way of casting in armor. It takes two feats to use the best light armor, which is a significant investment, not to mention that you need decent Dex to make the most out of light armor, which isn't suited to a melee Strength build (you can still do it, but it isn't 'optimal'). Magus, meanwhile, gets casting in armor for free, even in heavy armor!
2. The Magus gets tons of free stuff, principally the ability to use Arcane Pool to boost his weapon Enhancement AND the ability to apply his casting ability score modifer to his attack roll. This means the Magus can easily penetrate DR that will cause major problems for the EK, and his attack roll will always be higher.
This is without even taking into account Spell Combat or Spellstrike, or Spell Recall.
That said, EK is still pretty good, and I almost took one for my own party. But ultimately, Magus just does everything EK does, better.