We've all probably been "the nice guy" in some situation that did some mundane/tedious task, ended up being that guy forever, and ended up resentful and vowed never to do it again. I don't think this is the point here though.
In my opinion, the easiest way to command respect is to not think about commanding respect. If there's a problem, just solve it, and your peers and subordinates will respect you an order of magnitude more than if you just tried to motivate them with some "problem-solving" Power Point slides.
One of my favorite examples I've seen of "washing the dishes:"
- At a startup myself and four other engineers wanted attend a conference across town. Our cab was running late and we were in danger of missing the first sessions. The CEO chucked his keys at us (he drove a minivan) and his credit card and said, "take my car, it needs gas though so fill it up with my card on the way back."
Did we expect we now had unlimited use of this guy's car forever and abuse it? Of course not. Did we totally respect him for trusting five guys to drive his car and made sure we had enough gas? Yes. Did we notice that he didn't even use the corporate credit card because only about 10% of that full tank of gas would be used for work purposes? Yes.