We're never told if those shields can stop other forms of energy, or if they can block a spacecraft from physically landing on a planet, or how far they extend.
"Whom Gods Destroy" offers clues on every one of these aspects, though.
1) Scotty seems convinced he could shut down the shields with phaser or torpedo bombardment, but this isn't an option because it would kill Kirk and Spock, too.
Scotty: "We could blast our way through the field, but only at the risk of destroying the Captain, Mister Spock and any other living thing on Elba Two."
Scotty might be speaking about using superstrong transporters for the "blasting", of course - but we haven´t heard of such tech existing, let alone having the potential to kill every living being on a planet.
Eventually Scotty uses phasers against the far side shields, and two volleys at full power don't create a useful hole yet. A third might have succeeded, though, and we don't have any idea about the effects of the attacks on the planet beneath the shield. Scotty's aim was not to create destruction but to create a hole, which might affect the outcome.
Just as elsewhere in Trek, firing at the shields doesn't seem to involve firing at the shield generators - holes can be created in an arbitrary spot. However, interestingly, the asylum building doesn't shake, nor do its instruments bleep or its consoles sparkle, when Scotty pummels the shields. Perhaps the generator is in a separate building, and the ground doesn't transmit the vibrations...
2) Shuttles would be capable of landing through the weaker parts of the field, which was supposedly generated from a single location on the surface.
Sulu: "The force field is weakest on the far side of the planet. We can send down a shuttlecraft carrying a team in environmental suits."
Sulu doesn't indicate that they'd first have to blast a hole in the shield. That might be implicit in what he says - but Scotty just said that blasting holes wasn't practical!
3) The shield covers the entire planet, as Sulu identifies no spot where there would be no shields. The planet's size can be guesstimated as not being entirely negligible, even if we discount the seeming effects of gravity (because that could be artificial gravity we're seeing):
McCoy: "It won't work, Scotty. They'd have to cover thousands of miles through poisonous atmosphere before they'd ever reach the asylum."
How high up the shield reaches is unknown, though. Our heroes operated from synchronous orbit, but we don't know its parameters, and we have reason to suspect Trek synchronous orbits might be powered rather than freefall ones anyway.
Timo Saloniemi