OP said:
Can you suggest practical solution to reduce cambers at the production plant or construction site.
There isn't one, and I feel that your efforts will be streamlined by knowing the truth of that up front. I design TT's regularly for some precast clients.
1) 40' is a healthy span in a vibration sensitive occupancy. Often times, the bending and stiffness demands will leave little choice but for the precaster to use a significant amount of prestress which usually ends up meaning a significant amount of camber.
2) In a very real way, you
want there to be meaningful camber in these things. Without it, you'll end up with topping ponding, visible sag that terrifies the villagers, and any number of other possible issues.
3) You can pull down camber a bit with prestressing up top but the effectiveness of that has it's limits. It's also a more effective technique with products like hollow core slabs. Lastly, if the prestressing in the TT is harped, there's very little chance that will be meaningfully offset by a few straight strands in the flange.
With these types of projects, the answer is to anticipate the camber and deal with it in the planning stages by way of an appropriate, variable thickness topping. As a distant,
distant second alternative, you can specify a lightly cambered element at the bid stage. If neither of those things have been done on your project then the likely reality is that you've got a problem on your hands that truly is not of the precaster's making.