This happens to me on a few sites. Try this.
Press Ctrl+Shift+Delete and check the boxes that say 'Cache' & 'Cookies' and select Everything from the drop down list.
Now you will have to re-enter all your logins for every site (Small price to pay).
When you do log in again, make sure you tick/check the Remember Me box.
If it worked, when you download something, it shouldn't log you out and you will be thinking 'Profit!?'.