The problem is not landing on the moon, the problem is actually getting there, alive. See, the radiation level once u travel far in space becomes very very high. No humans can survive it unless there is enough material to protect us from radiation. Calculations were done and scientists estimated an aproximate thinkness of walls of the shuttle required to guarantee safety will result in extreme weight. Something probably wouldnt fly back then.

Now lets say they did land there, why no one ever went there back? Russians knew right away there is no point senting anyone there, no one will return alive, or will live for a day or two, then fall apart.

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Here is something i found:

The Van Allen Belt's Impact on Space Travel
Solar cells, integrated circuits, and sensors can be damaged by radiation. In 1962, the Van Allen belts were temporarily amplified by a high-altitude nuclear explosion and several satellites ceased operation. Magnetic storms occasionally damage electronic components on spacecraft. Miniaturization and digitization of electronics and logic circuits have made satellites more vulnerable to radiation, as incoming ions may be as large as the circuit's charge. The Hubble Space Telescope, among other satellites, often has its sensors turned off when passing through regions of intense radiation.

A object satellite shielded by 3 mm of aluminum will receive about 2500 rem (3) (25 Sv) per year.

Conspiracy theorists have argued that space travel to the moon is impossible because the Van Allen radiation would kill or incapacitate an astronaut who made the trip. In practice, even at the peak of the belts, one could live for several months without receiving a lethal dose.

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