It moves around, and the boom moves, but they are all made to flex. Keep in mind, with cranes this size, there is usually 350,000 to 375,000lbs of just counterweight, let alone the weight of the crane. There is 20-25 semi loads to bring crane in. Yes, for each lift we do, there are 'lift plans' drafted and approved by engineering, and which are required to follow by crane operators. These plans have the wind limits, boom limits, weight, etc. but usually anything over 15mph we cancel for the day. Good operators are also fussy about wind limits, and will not push it.
Us on the basket doing work does not even register weight on the hook, as the hook weighs 4,000-6,000 lbs.