WILL IT WORk?

The GTX 770 requires 42 amps and 600 watts to safely operate. Your psu has enough amps (46) but not enough watts (550)

I would not even run it without OC and definitely not with OC.

Maybe if it was a Seasonic, XFX or Antec but that Corsair is of low-mid range quality at best.
 


You do know know how to calculate watts don't you. 42*12 = 504W on 12V alone. the 600W is assuming a std PSU. the 42 Amps on 12V is the more important figure.