I'll get you started with some traits and an example of each. You should look for more examples of those you best understand.
Beowulf's Heroic Traits:
Physical Strength: fights Grendel with no weapons
Courage: goes to fight Grendel's mother alone
Honor: comes to Hrothgar when his kingdom is in need because Hrothgar protected Beowulf's father
Loyalty to his men: sleeps in the same place as the rest of his men while awaiting Grendel's arrival in Herot instead of the private room offered him
Loyalty to his king: refers frequently to his own king, Higlac, then returns to this king to offer up the gifts bestowed on him by Hrothgar after defeating Grendel's mother