+1 for all of the above. It may also depend on limits set by insurers. However, however it is determined, it isn't very high - at James Watt Dock, ISTR it was 30 knots. I also think that was MAXIMUM wind speed, not steady wind speed, so if it was gusting up to 30 knots, the crane couldn't operate.
Current weather - even down here near Cambridge, where it isn't that strong - would preclude any crane operations.
It’s changed quite a lot over the years, I remember 20-30 years ago the crane driver ignoring gusts of 30 kntsand carrying on, recently there seem to be numerous alarms and safety sytems built in which can shut the crane down if ignored. It now seems that gusts of 25knts will set off the alarms.
But it does seem to depend upon the crane, the driver, the company and whether your’e happy to see your pride and joy rather alarming swinging around in mid air.
Many cranes are now fitted with two anemometers. One to alert the driver of current windspeed, and an independent one to send the data by telemetry to a server which records the GPS position wind speeds and time. Especially for construction sites where there's pressure to ignore the safe windspeed.