Is it legal to carry a practice sword to and from taekwondo class?

Question Details:

I know that in TXit is illegal to carry a knife with a blade longer than 5 inches. I teach a traditional TaeKwon-Do class and in the class Iteach the use of traditional weapons including the Katana, in class and at demonstrations inside the school. I use an training katana made out of aluminum. The blade is completely dull and cannot be sharpened; if an attempt to sharpen the blade is made the blade can ward and break. Is it legal for me to carry this to and from my class and home and to any demonstrations in a public venue?

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