Here are your parts.
Parts for Kenmore Washer Dryer Combo 41794812301 - AppliancePartsPros.comThe sears parts site does have actual parts breakdowns but they do not share theses with other parts vendors.
Below is a service manual.
You will have to join the site and be logged in to be able to download the manual.
http://appliancejunk.com...&id=255;t=1386758684The unit was made by Frigidaire. do not have a cross reference of Sears/Kenmore numbers to Frigidaire model numbers so this is a bit of a guess. I think your unit is a close match to the wiring diagram on Page 14.
The Sears site does shoe a very blurry wiring diagram that looks close to the above.
First I would check to be sure that the vent system is OK.
I doubt tis is the problem but it is the easiest thing to check.
Unplug the unit and disconnect it from the vent system.
Now try a run.
If it now dries OK odds are the vent system needs checking/cleaning.
Be sure to check that the louvers on the outside of the house open correctly.
If you do not want any lint in the house.
Take a pair of pantyhose.
Put one leg into the other and then attach this to the dryer's vent.
Leave enough room so the pantyhose can balloon out like a windsock.
Both the above will let you check the temperature and the air flow.
Next, I would check the heating element.
Unplug the unit and both wires at the heater.
Measure across the heater.
Should be about 12 ohms.
Now measure from each element connector to the case/frame.
Both should be infinite ohms.
If not the element is grounded and the cycling thermostat cannot regulate it.
Be sure to measure to bare metal on the case/frame.
