In the countless calculations and discussions concerning the "space rope" I've never found any addressing its capability to resist winds.
Consider, as in most current works, it's a 1m wide ribbon, attached near equator, going straight up past geostationary orbit. It's being projected for 20 tons of load on top of its own weight. But never in the calculations did I see the drag put by trade winds typical to that area on what is essentially good several thousand meters of a sail.
This will be a considerable force. A ship of displacement of 400 tons, like this one is capable of travel of 30km/hour against the drag of water with sail surface of 1200m^2. Of course it is projected to gather as much force with the sails as possible, but the tower will have at least an order of magnitude more of the "sail surface".
How would one go about calculating what lateral strength would be put on that tower by the wind (trade winds are up to 8m/s but I'm not sure if it's applicable for higher altitudes), on its part that is still immersed in atmosphere? 1m wide ribbon, going straight up, assuming pessimistic scenario of being oriented perpendicular to wind direction.