Macbeth's characteristics of violence are an example of hamartia. His extreme desire to rule has caused him to be excessively violent. An example would be the scene where he kills King Duncan. He wants to be king so badly he is willing to kill.
Macbeth has developed insanity because of how he killed Duncan and many more people just to be king and to try and stay king. He was actually so insane that he imagined a dagger that he would later use to kill duncan. He imagined the dagger floating in mid air. This is also an example of hamartia. You can see this in Act 2 scene 1.
AN example of Hubris is Macbeth is willing to go to the witches to foretell the future. When they tell him that he need to watch out for Macduff and Malcolm he thanks them for the warning but he wants to know more and tries to gain for knowledge from the demons/apparitions.
The example of peripeteia is when Malcolm and the 10,000 soldiers from England are on their way to kill Macbeth. This is when the situation is reversed so now Macbeth is the one who will fall.
An example of nemesis is when Macduff beheads Macbeth. This outcome cannot be avoided because the witches predicted it and the prophecy about Fleance must come true.
The Last characteristic is catharsis. I don't think the audience should have much of any fear of pity because since the tyrant Macbeth has been killed they don't have to worry about the safety of their own children from their king. Macbeth went insane and caused a lot of problems.