This one got me for a little while too until I noticed that there's a glass wall you can break using your sling-back shooter on the wall adjacent to the one the moving platform is on. You'll need to break it quickly while you're on the platform though, so you can jump into the room inside before you get blown off! Inside this new room you can find a computer you can destroy, and thus stop the fans from blowing, allowing you to get those dirty apes near the bottom of the abyss!

Yes, there is another glass wall that you can get to while you're on the elevator itself. You need to break the glass and quickly jump in before the elevator gets so low you get blown off. Got your email, btw Dan. Hope that helps.