Most of you seam confused on the actual dps upgrade T10 4piece for elemental, some say is no dps(WRONG) some say somewhere around 200(Close, sadly its lower). So Here is the math, Ill do it saying that Lightning Bolt hits for 8k average at a 1.5 second cast and Flame shock hits for 2.5k on avg with a 1.5 second GCD.
First lets determine the up-time for Flame Shock, Flame Shock is 18 seconds, so every 2 seconds you add 6 more And how many free GCDs you get.
((18/2)*6)+18=72 so a 72 second up-time. Now with the original FS being a 18 second duration. (72/18)-1=3 so 3 free GCDs per minute. (Minus 1 because you still have to cast FS once )
So with a 1.5 cast time that is 4.5 seconds at a 8k average..24k for all 3 and Flame Shock hits for a 2.5k average with a 1.5 second GCD..7.5k Difference is
16500/4.5=3666.67
So in conclusion that 3666.67 extra damage over 72 seconds
3666.67/54 = 67.901 dps.
To the the math for yourself go to a boss like Festergut, check your cast time with all Aura haste up(Boomkin and WoA) and see what your avg Lightning bolt hits for(hits and crits, misses and partial resist)
(avg LightningBolt*3)/(Cast time of Lightning Bolt*3)=X (X for LB...) (X-Y)/72=Your dps upgrade from from your teir.
(avg Flame shock dmg*3)/(GCD, 1.5 usually, less with Haste*3)=Y (Y for FS)
Plz comment and correct my math if anything is wrong, don't be too harsh, everyone makes mistakes. Thank you for reading this and I hope it helps
*Edit: Also note that this is without the shamanism buff in 3.3.2
*Edit: Added the difference of LB and FS to calc dmg. (TY Zamir)
*Edit: Even though Flame Shock Dura is increased to 72 seconds, its only the 54 seconds that do matter. (TY Soulfringe)