For a geostationary orbit, which is where the center of mass of a space elevator would be:

h = ³√ G * m * T² / ( 4 * π² ) - r

• h: orbit height (m)
• G: gravitational constant
• m: mass of celestial body (kg)
• T: period of rotation (s)
• r: radius of celestial body (m)

So, if the mass goes way up, the height of the orbit will, too, unless something crazy happens like the planet spinning super fast.