The metal cylinders are capacitors and have, indeed broken.
Here's a replacement:http://www.newegg.com/Product/Product.aspx?Item=N82E16814130506
It may be possible to replace the capacitors, but I suspect it would be cheaper, and quicker, to simply replace the card.
Is that the reason why I tried to start my computer up, I would get a "No Signal" message on my monitor? When I would start it up, everything else worked just fine. Everything was starting up, but I still had that "No Signal" message on the monitor.