What about mining damage your gpu
You can mine a video card's value in around six months (after deducting electricity costs) - anything after that is pure profit
A video card's warranty is 2 years or more, and there's no way for manufacturers or retail store you bought cards from to determine how you used the video card.
The gpu chips in modern video cards can function at up to 85-90 degrees Celsius, unlike regular processors which are designed to function at less than 70c.
Because of this, most modern video cards are configured from the factory to use as little fan speed as possible while maintaining temperature to some decent level. For example, I had a RX 470 configured to keep temperature at 69c, a small length (itx style) RX 570 configured for 72c and a Gigabyte Aorus with 2 fans and factory overclocked which seems to have the threshold configured for 74c.
All cards could run cooler by just spinning their fans faster, they simply don't do it because it's not needed and noise would be annoying. If you feel like you want things cooler you can use Afterburner or other overclocking utilities to configure the minimum fan speed higher.
In fact, ALL three cards will actually stop their fans completely when the temperature drops below around 50c (when watching movies on youtube, typing some document, basically the video cards lower their frequencies to produce less heat and then the fans stop - there's no advantage or benefit to cool the cards lower than 50c so they won't do it)
nVidia cards are probably more picky about it, and as you see, maybe they have that temperature threshold at around 55c instead of higher temperatures. nVidia cards also use less power so produce less heat compared to AMD cards (well, when comparing cards in the same price range, ex rx 570 vs gtx 1060)
As for other components on cards, the only things that can break now on cards are mostly capacitors in the dc-dc converters which produce power for gpu chip and memory chips. The mosfets in the DC-DC converter are designed for at least 125c, and usually they're rated for 150c.
The polymer capacitors used these days are rated for 4000-6000 hours at 105c and unlike electrolytics where you double the hours for every 10c decrease in operating temperature, there's a different formula for polymer capacitors:
Lifetime = Lifeorig x 10z where z = ( Tm - Ta) / 20 and Tm is the maximum temperature (the rating) and Ta is operating temperature or "ambient" temperature.
So this Gigabyte RX 570 Aorus reports a temperature of 77c for the VRM while it's mining. Let's exaggerate and say that the polymer capacitors are running at 80c by sucking heat through the leads and circuit board (in reality they should be at least 5-10c cooler than mosfet temperature) and that they're rated for 4000h @105c ... by running the card 24/7, the polymer capacitors will go outside specifications in approximately Life = 4000 x 10 (105-80)/20 = 4000 x 1025/20 = 4000 x 101.25 = 4000 x 17.78 = 71131 hours or 2963 days or 8 years. In reality, the capacitors are probably averaging 50-60c, so they'll should last 10y+ minimum..
Do you even have cards older than 5 years in your house?
tl:dr don't worry so much about it, it's safe. If you're really paranoid, put a 120-140mm fan on the side panel to push some air and maybe boost the minimum fan speed by a few percentages.
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