ksgnow2010
The picture of the card you posted was very dusty...too much for only a year worth of use.  Once you get this sorted out, you need to work on your case airflow and keep that much dust from getting inside the case.
 
Also - I live in Florida (grew up in upstate NY)...your humidity is nothing compared to Florida - hehe.  My machines run 24/7, and I have never had corrosion on any plug/socket/connector/etc.  However, I do manage the dust in my systems (i.e. positive air flow with intake filters).
 
I would bet the power supply is faulty too.

could be a dusty basement . And just because you are in high humidity do you keep your rig in a basement? As humdity allways gets traped down in dark cool basements so it's not out of the possibility that he's in a high humidity area + being in a basement adding up to high humidity then you would find in a normal house.+ A running rig probably helps keep the humdity down inside the case as PC componesnts give off dry heat so an idle rig would be more prone to humity build up.

TheStranjer
Update: You guys were almost assuredly correct. The corrosion on the pins of my EVGA card appear to be a non-issue, as it detects the card just fine. I have a spare PSU, but it's only rated for 400W, so I was careful to not actually boot to anything for fear of harming things. Well, it turned right on and got the power it needed, provided I didn't plug much else in (like my HDD).
 
I turned it on and off a few times with no problems. It's the PSU.
 
I also took the crappy Sentey I had in out and took my roommate's multimeter to it; I put a safety pin in the PSU's ON switch to keep it powered by plugging it in. Well, lo' and behold, the PCIe voltage is inconsistent. I would get 15v one minute, 8v the next, and sometimes just nothing at all. The Sentey PSU was shot, and I don't care to try to repair its subcomponents because thanks to a very generous user on this board, I have already obtained another PSU that's en route.
 
Thanks for the help again, guys.

glad you figured it out. And PSU repair unless done professionaly is never a good idea. I'd bet 400 psu watt would handle a 1060 and your CPU if it's a decent single rail PSU its maybe not ideal but I'd bet it would be fine light loads exspecailly if nothing's overclocked. it could easily hold you over tell the PSU from scarlet gets to you

TheStranjer
Update: You guys were almost assuredly correct. The corrosion on the pins of my EVGA card appear to be a non-issue, as it detects the card just fine. I have a spare PSU, but it's only rated for 400W, so I was careful to not actually boot to anything for fear of harming things. Well, it turned right on and got the power it needed, provided I didn't plug much else in (like my HDD).
 
I turned it on and off a few times with no problems. It's the PSU.
 
I also took the crappy Sentey I had in out and took my roommate's multimeter to it; I put a safety pin in the PSU's ON switch to keep it powered by plugging it in. Well, lo' and behold, the PCIe voltage is inconsistent. I would get 15v one minute, 8v the next, and sometimes just nothing at all. The Sentey PSU was shot, and I don't care to try to repair its subcomponents because thanks to a very generous user on this board, I have already obtained another PSU that's en route.
 
Thanks for the help again, guys.

Alright, so I just installed the EVGA PSU and it works fantastically. Whoever came up with the idea to have detachable cords in the rear (and whoever made the call to fork over the R&D bucks to make it real) deserves a massive raise. No more cluttered cords in my case.
 
I'm basically coming back in to confirm the correctness of the other users here, but also to once again thank the guy who sold me this PSU on the cheap.

Unfortunately, the same issue just came up, but with some interesting details. Now, it alternates between the error in the OP, and running for a little while and then shutting down. However, instead of shutting down normally, the screen goes blank, and the GPU's fan goes full blast. It sounds like it's taking off. 
 
I know it's the GPU's fan because I tried leaving the case open long enough to put my ear to different parts of it, and it's definitely coming from the GPU. I also know that it's definitely not overheating because my rig has a program that logs the temperature every second (cleared daily, thank God), and the highest temperature listed is 30C. To ensure that it's not just ht sensor that's wrong, I also put my finger on the card itself and near the fan right after it starts going wild and it was cool to the touch. It isn't overheating.
 
So, there is likely something wrong with the GPU itself, but what that is, I don't know. My current play is to look for Black Friday deals in a couple of days while I keep fiddling with what I have to see if I can fix it on my own. We'll see, though. I'll take any advice or ideas you guys have to offer.

Yup it's the old lack screen 100%+ fan issue.. it's a goner.. my 2nd 1080ti ftw3 elite had the same issue on day 1.. exchanged it at the store day 2.

Just like how the evga supernova 750watt G2 took out my 1080ti ftw3 elite? Heh.. that power supply is fine. Ran the 980 sli heavily overcloked just fine and now the classified 1080 just fine.

It's whatever faulty part in the 1080ftw cards that was secretly replaced to fix the issue back when is the same cause for his card and the ftw3 I had.

Relax guys and Happy Thanksgiving and....BTW
 
https://forums.evga.com/EVGA-Marketplace-f54.aspx

INTL_akash
Hey. I know this is an old thread but i wanted to know if your graphic card was indeed the problem and replacing it fixed your problem.
I am facing a situation exactly like yours. My computer gives the "please turn off and connect pcie cables to the graphic card" error OR the screen goes blank and graphic card fans max out with noise. Ive tried changing monitor connecting cable from dvi to hdmi, have tried different wall sockets of my house, freshly reinstalled windows.
I have also changed the PSU but the problem has not been fixed and is still exactly the same. Graphic card is a 1060.

Welcome to the Forum
But after two years most likely the OP now has a newer Graphics Card.
When you changed your Power Supply did you also replace all the Cables and use Only the ones that came with your new PSU?

INTL_akash
Thanks for your reply. The power supply has the cables going inside it and not detachable ones. So yes the cables are new as well.

Can you remove the GPU from the MB and use a different PCIe Slot?

https://us.msi.com/Motherboard/H110M-PRO-VD-PLUS-.html
Are you running Bios 7A15v1C on your Motherboard  http://download.msi.com/bos_exe/mb/7A15v1C.zip
You may also want to install Intel® Chipset Driver for Windows Version: 10.1.18019.8144 (Latest)  

bcavnaugh
@ Any updates?

Im sorry for the late reply but i received my new graphics card after the RMA and i can confirm that now the issue seems to be resolved. I am getting neither of the errors. If i dont provide any future updates on the same then consider that it was infact the graphic card issue and changing it resolved it. Thank you for your help.