Have you ever noticed that in every incarnation of Star Trek, whenever a hostile alien tries to take over the ship the first thing they do is cut off life support to the bridge? Have you also noticed that once life support is restored, usually at the last possible second, everyone is fine except for these huge sweat stains on their uniforms?
Those sweat stains would mean that their body temperature has gone up. Based on an article at thermogenesis.org, as often as that happens, nobody whose post is on the bridge should have any trouble with their weight.
In reality, once life support is cut off, the bridge area should be getting colder since the heating system is off.