Wi-fi is used for internaljust wireless networking. It can or can't provide (not necessarily for internet over itsharing). So, if you get bars on wi-fi, it doesn't mean you've got internet access. Wi-fi can be used to share files or gaming, for example.
In your case, I suppose.. your school's campus wi-fi would be providing internet (the only purpose they advertise wi-fi campus). If you are unable to get to the internet, it means access control of wi-fi router is blocking you. Why? Ask wi-fi administrator. The probable reason: You haven't registered your device.
But, before asking wi-fi administrator, use Fing - Network Tools to check TCP connection with external host. If there's really a problem, contact wi-fi administrator. There's nothing more you can do.
Disclaimer: I answered after presuming that your apps can connect to internet over other wi-fi networks.