Many of the older style seacocks have a rubber insert that rotates to open and close the flow. These type always have either a T shaped fitting or a hex head on the side of the valve opposite the handle. This is used to tighten and loosen the rubber seal. To open or close the valve, this fitting needs to be loosened to take the pressure off the rubber. Once loosened, the valve needs to "relax" for a while so the rubber will contract and allow the handle to move. If you try to move the handle while the rubber is under this pressure, it will not move. Once opened or closed, the fitting is then tightened up again to effect the expansion of the rubber and provide the seal for the valve. This type seacock needs to be disassembled periodically for cleaning and lubrication. If you're trying to move a seacock handle and it feels stuck but a little springy, it is likely a rubber valve that needs to be loosened to open (or close). Remember to let it sit for a while after taking the pressure off of it before trying to move the handle.