Washer makes a grinding noise only during wash cycle. Kenmore washer model # 11020022

SOURCE: washer make a clicking noise

Zoobs, you could have something stuck under the agitator. The agitator will pull straight off. Grip it on each side and pull up hard, but don't hit yourself in the face. If that don't work, try slipping a belt under it and pull. Check for something caught under it. Another possibility could be the nylon suspension rod socket supports in the back. They will make a noise during agitation if they are dry. Put a little 3 in 1 oil to quite them down. Take the front panel off and check the pulley and belt, see if anything is out of whack. I also often find the motor support hitting the bottom panel during agitation making noise. Take the front panel off and observe during agitation. See if the support is striking the bottom. If so, just bend the bottom panel down. Catriver..post back.

SOURCE: Kenmore Elite Oasis 110.2706 Top Loader Grinding Noise

If you remove the back panel, there are two pumps towards ethier side at the botom of the tub. If you remove the back hoses (have some towels ready) You may find something in one of the two pumps.

SOURCE: Grinding noise from hell - no spin, no agitation (except my own!).

Please see the following link for all possible troubleshooting tips:
http://www.repairclinic.com/0088_11_1.asp#Level1_3

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IrishDruid

SOURCE: Squeaking/grinding/rattle noise during wash and spin

That sounds like a clutch problem - probably just worn and need replacement. Will definitely need to pull to find exact fault.

Regards

SOURCE: kenmore series 80 washer makes loud knocking noise during spin cy

Unless your front loader is set firmly on concrete and leveled to perfection, the force of a heavy wash load spinning in excess of 1000rpm will create a bit of vibration and noise.A firm footing is your best defense against to much movement.
Also due to the earlier movements during the spin cycle, the shocks that are used to dampen the spin cycle might have been broken or damaged.
If the problem persists inspite of proper levelling, please do check for the shocks or might have them replaced them for good.