I have social anxiety and have trouble meeting new people (right now my only friend is someone I met here on PC who happens to live in my city), but in the past one way I found that was helpful for meeting people was asking people in my classes if they wanted to form a study group. It not only helped with my grades in the classes but helped me meet people and after we got to talking and clicked we were able to be friends even after the class ended. It might be a little scary to walk up to people and ask if they want to study with you, but you can scope out people ahead of time while you're in class. Pick people you might want to be friends with (I know that's probably easier said then done). I usually just picked the people who were sitting next to me, or who seemed to know what they were doing in class. Might be worth a try? You could just say one simple sentence "Hey, do you want to maybe get together to study for the midterm/final/paper/whatever sometime?" and then exchange cell numbers and start texting them about getting together.

It might also be worth it to join a club even if you're alone. People usually join clubs alone, and when your'e the newest member people pay attention to you and are curious about you. Perfect opportunity to share a bit about yourself and start chit chatting. "what's your major?" "where are you from?" etc. and eventually if that goes well, "hey do you want to hang out sometime?" Plus when you join a club that's about something you're interested in, you know going into it that the other people there have a common interest with you, so that's another thing to talk about.