Just to clarify, I am a mechanic by trade, but I changed my first tyre when I was 7 when mum got a flat.
But, you can still do this without getting dirty, or being forceful...Its all about mechanical advantage, ie, the length of bar you are using and how much pressure you apply. Standing on the bar is another easy way to get the nuts undone.

Anyway, back in January I was on my way to my fist night at my second job as a barman. I destroyed a tyre in an unseen pot hole in the bucketing rain (NQ Wet Season). Changed the tyre in the wet, not a mark on my white pants or shirt, and got to work just in time...All up to change the tyre, 10min. You would wait up to an hour just for roadside assist.

I can understand some situations(invalided, pregnant, disabled, aged), but if you can do it yourself, why not??