I applied through college or university. The process took 4 weeks. I interviewed at Eaton in Aug 2013
Interview
I was interviewed once at a career fair for engineers. A couple of months after I got an email with the offer letter saying that I had gotten the internship. They were very helpful but the process took a while to start after I had accepted the offer.
I applied through college or university. The process took 4 weeks. I interviewed at Eaton (Houston, TX) in Oct 2013
Interview
They collected my resume at my schools career fair, about a month later I got an email request for phone interview. Phone interview was with an engineer manager, going over resume and basic job-fit questions. A week later I got invited to second round interviews. Eaton paid for flight, hotel, and food.
The second interview was with 2 different engineer managers, then about a 10 minute presentation in front of 3 engineering types and 1 HR. Everyone was friendly, they asked a few questions after the presentation. The interviews were all STAR questions, very little technical.
Verbal offer 1 week later, written 2 weeks after that. The company left a very good taste in my mouth after spending the day interviewing, not as unrealistically optimistic as some.