High current triac control, pcb trace & heat
The very large copper lines calculated are normal for such a current need. But if I were you I would check that the load is affectively 30A RMS in permanent mode or in transient (inrush) mode. It could make a big difference in the size of your copper lines and triac heatsink.

Moreover, I see two problems with your choice of device : thermal and voltage.

THERMAL ISSUE

30A is a very very heavy load for a triac. I hope you have the biggest heatsink ever. If I am not wrong, the BTA41-600BRG is a STMicro device. They have a good thermal design notice[1].

According to this notice, you would need a heatsink of at least 1°C/W. Such a heatsink is 120x120x40mm and more expensive than the triac itself! 

[1] http://shr.antonin.us/handlingMoutningThyristor

VOLTAGE

The BTA41-600BRG is a 600V triac in permanent mode.

When you control a 380VAC (I assume it is a tri-phase), then you need to take in account the peak value of the voltage, i.e. +15% to take in account international standard on AC lines and a sqrt(2) factor.

$$ V_{peak} = 380 \times 1.15 \times \sqrt{2} = 618 V &gt; 600V$$

Therefore I would recommend that you select at least a 800V triac.