Exploded parts diagrams for your machine are available here: -searspartsdirect.com/partsdirect/part-model/Kenmore-Parts/Washer-Parts/Model-41744042400/0582/0153200?pathTaken=&prst=0&shdMod=41744042400
Should you have a failed spider you will need part #
131618500 cost $221.09
Should you need to renew the bearings and seal you will need the rear ‘half’ of the outer tub part #
131525500 cost $181.10
Should you need to renew either of the above two parts I would seriously consider renewing the seal between the two ‘halves’ of the outer tub, called a gasket part #
134146100 cost $22.01
The boot and its retaining spring come as a ‘kit’ part #
5303937187 cost $38.49
The only way to determine which parts you actually need is to strip the machine down. To help with this the manual available here may be of help: -emaservicetips.com/pdfs/360_TumbleActionWashers.pdf
A couple of tips for dismantling your washer: -
1. remove the motor and the control board before removing the drums from the chassis. Experienced repairers’ will leave them in place to save time but for a person who is unused to working on these machines I think it is a sensible move. I do it.
2. to avoid considerable quantities of water on the floor couple up a wetvac to the discharge hose and suck the water out of the pump and ‘coin trap’, item 41 at c.searspartsdirect.com/lis_png/PLDM/R0312117-00003.png
Below I have attached three images of what the back of your machine will very likely look like should you have bearing and seal failure.
Did you get any movement of the inner drum relative to the outer?