I myself have been creating tutorial videos on YouTube. However, I make it a point to use only parts that I have created myself and not use parts created by others or that were created in the course of employment. I am not sure of other potential copyright issues. I will leave it to other users to comment.
IF you created your own part, then you can post it anywhere you want !
and only created with legal* version of SW, not even sure if u can use Student version for it - I'm thinking the 'potential' income from ads that would be displayed on youtube (would that count as commercial use of SW?)