me and a team of mine did a ten mile walk on wednesday, carrying bloody heavy backpacks, when we stopped for a break, two of the guys in the group walked over and picked up the two girls' backpacks and offered to carry them, so no, chivalry is not dead, as the girls quite rightly pointed out later that day, they likely would not have completed the walk otherwise. its a biological fact, female humans are build differently to males, and, in identical circumstances, are weaker,
if offering to help a girl for whatever reason goes with your code of ethics then that should be fine, women have equal rights but thats not to say it's rude to help them out from a sexist point of view
as for my own views, yes, i think im more likely to hold a door open if a girl is behind me, or help a girl pick up dropped items, and if that makes me a sexist git that so be it, i just prefer the term "chivalrus gentelman"