Bin full light stays on and stops shredding and bin is not full

Dear Sir,
Maybe, just maybe, I have an answer for you.
Somewhere on the part of your shredder that touches the bin, there is a tiny switch that touches the bin, and it is a safety switch that causes the shredder to stop working if the bin is removed.
In the shredder I have, and have had, the switch is usually plastic, and is the same color as the plastic body of the shredder.
Proper positioning of the bin to the "bottom" of the shredder is critical to it's working, as the bin presses on the switch to "close" it.
God bless your efforts.

As for your first part - It sounds like there is something wrong with the switch lever that moves to complete the electrical circuit to start the shredder. On every shredder I have seen, there is a little "bellows" linked up to this lever that pushes it back so the machine will shut off. Most of the time all you have to do is put another piece of paper in and let that get shredded and the shredder will stop afterwards. If not, then just use the main switch to turn the shredder off.
Second, the beeping during "mid-shred" sounds like a warning that the shredder is starting to overheat and shut down. If this is the case, just wait a few minutes to allow it to cool down and try to finish the shredding you have. I have found that if you feed a shredder a constant stream of paper to shred, this might cause the shredder to overheat.
Also, the shredder may get overloaded with pieces of the shredded paper. Here is the way to check on that:
1. UNPLUG THE ELECTRICAL CORD FROM WHEREVER YOU HAVE IT PLUGGED IN.
2. Lift the shredder from the bin and turn it upside down.
3. Look for an excessive amount of paper in the bottom of the shredder. If there is a lot, you can remove it in several ways. (Most likely the bin is quite full at this point.) Pull the majority of it out and put it in the bin. If there are pieces of paper that you can pull out with your fingers, use a tool (needle-nose pliers, serrated tweezers, a hemostat, etc.) to get those difficult pieces out.

Replace the unit on the bin making sure that it is the same way you took it off. In most cases (on the better shredders), there is a notch on the underside of the shredder that needs to be on top of a "nub" that is on the edge of the inside top of the bin. Unless that nub is aligned with the slot, the shredder will not work.

Sometimes the sensor gets blocked by pieces of shredded paper. Unplug the unit and remove it from the paper bin. Turn it upside down and see if there are any "stray" pieces of shredded paper hanging on the unit. Remove the stray and replace the unit onto the bin making sure it is properly seated. If that is not the problem, try "tamping" the shredded paper into the bin and by doing so, giving the machine more room for the shredded paper. If neither of these help, refer to your owner's manual to see what recourse you may have.

There is a small micro switch in the slot where you insert the paper, have a look and find it, it may be jammed with a piece of paper or bend. Wd40 might help

you will have to clean or replace the bin full sensors

I had similar problem. I took unit apart and checked the motor by hotwiring it after checking voltage coming off the circuit board connections that the motor is connected to. Motor did not run until I tapped it a couple times with a hammer. Seems ok now.

first off, fellowes has had problems with the bin full sensors that sometimes, can only be corrected by replacing them. however, there are two things to check. make sure it doesn't have a bunch of shredded paper hanging down from the cutters. that can trigger the bin light as the sensore are located under the head, but above basket. last, but not least, clean the sensors. they get paper dust on them after awhile causing same indication. if those two things don't fix it, it will have to have sensors replaced.

good luck,
razors

I had the same problem-one day the shredder worked, the next day no power. We checked the fuse and it was ok. There is a safety switch that has to engage with a plastic tab on the bin. For some reason it was no longer engaging. We put a piece of cardboard into the slot and now it works fine.