You would do it if it was cheaper than the alternatives.
Either all studies have overlooked that problem or there is a theoretical engineering solution. Anchor the beanstalk to a mountain, perhaps.
Hans
And, here are the contenders. Not a beanstalk among them. (I guess nobody much believes in "magic" beans?)
Manned
(USA-NASA) Orion Multi-Purpose Crew Vehicle – capsule
(USA-SpaceX ) Dragon – capsule
(USA-Boeing) CST-100 – capsule
(USA-Sierra Nevada Corporation) Dream Chaser – suborbital spaceplane
(USA-The Spaceship Company) Spaceship Two – suborbital spaceplane
(USA-Blue Origin) New Shepard – VTVL capsule
(USA-XCOR) Lynx rocketplane – suborbital spaceplane
(Russia-RKA) Prospective Piloted Transport System (PPTS) – capsule
(China-CNSA) Shenzhou – capsule
(Europe-ESA) Advanced Crew Transportation System – capsule
(Iranian Space Agency) Orbital Vehicle – capsule
(India-ISRO) Orbital Vehicle – capsule
Unmanned
SpaceX Dragon – cargo delivery to the ISS
Orbital Sciences Cygnus – cargo delivery to the ISS
CNES Mars Netlander
James Webb Space Telescope (delayed)
ESA Darwin14 probe
Mars Science Laboratory rover
Shenzhou spacecraft Cargo
Terrestrial Planet Finder cancelled probe
System F6—a DARPA Fractionated Spacecraft demonstrator
Reaction Engines Limited Skylon (spacecraft)