Consider an orbital elevator simply modelled as a large mass in geostationary orbit (altitude approx 36,000km) around the Earth, connected to a point on the equator via a strong, light, likely flexible "cable". Assume this cable can withstand some compressive force without buckling, e.g. by pre-stressing.
Now consider a mass (the cargo to be elevated) ascending the elevator cable with a constant speed. Because this mass is moving along a cable which is rotating in sync with the Earth, a Coriolis effect will be applied to the cargo mass.
This is a problem as this will have a bowstring-like effect on the cable, causing it to deflect in a transverse direction, which make cause transverse forces to occur on the orbiting mass, endangering its orbit and risking the collapse of the elevator.
So my problem is this: is the Coriolis effect large enough to affect the elevator as mentioned above? If so, what are the most practical countermeasures to resolve this issue?
For example, causing the cable to be rigid may have been a thought. However, as the cable is so long, it will likely break in one place, creating a worse issue.