Agree with Capriracer, the chart is a minimum, and on a tandem axle trailer, the minimum is chart pressure plus 10%. The placard on the driver's side corner, should show the oem tire size, and tire pressure to cover the GVWR. In most cases, on a T/A trailer, this will be full sidewall max psi.
If OP is using the same size/rating tire that came on his trailer, he should be running max sidewall pressure. ST tires need air pressure to protect from belt separation, due to side scrub, and will run cooler at max pressure. If a person has jumped in tire capacity, say from a C-rated to an E-rated, you likely have too much tire for the trailer, and will have to deal accordingly.
Jerry