

Not if the transformer is driving a rectifier-capacitor supply. You need to derate the DC output to about 60% of it's maximum ampere value to allow for the high RMS current that the high peak current draw of a rectifier-capacitor supply causes (because the transformer power dissipation is proportional to the square of the instantaneous current draw, not the average). Thus a 16A transformer is good for about 9.6A DC maximum, close to the 10A the OP wants.....................................
After paralleling them if you measure 30VAC on the secondary winding you are good to go.
Mind you if one winding can handle 8A you can draw max of 16Amps by paralleling them
Sounds like you need a fan blowing on the heatsink, as previously suggested. Mount the fan in the case so it blows outside air directly on the heat sink fins. Use a large muffin fan with a high air capacity.I dont have any problem with the bridge. It dosent get even hot...
Only transistors get very hot
I will definitely use a blower and also i am thinking of connecting it with thermal resistor to start at 40 celsiusSounds like you need a fan blowing on the heatsink, as previously suggested. Mount the fan in the case so it blows outside air directly on the heat sink fins. Use a large muffin fan with a high air capacity.