417.4405200 not spinning at the end of wash cycles

Have you done a manufacture RESET?

http://www.managemylife.com/images/6975/original/346.jpg?1303498921
According to this it could be either the Computer (don't think so but don't rule it out just yet.), the fill valve, or the heater. Appliance Repair Forums
This link will help you test the fill valves.
This will link you to a service manual for the HE3T washer which is very similar to yours and the diagnostics and tests will be the same. https://www.ifixit.com/Document/1074/.pdf

If you need further help, reach me via phone at https://www.6ya.com/expert/steven_a67ead41eb5fc62a

Does it sound like it wants to spin? If so more than likely the motor coupler broke causing your washer to not spin. It is one of the most common parts that fail.

Anyhow Sears is the best bet for your answers they even list all the steps needed to trouble shoot.

Model 11026002010 Kenmore Automatic washer Repair

This one is from the link above and credit to:

Natasha12,November 17, 2014

Thank you for choosing Searspartsdirect.com and being a valued member. I can certainly assist you in locating the diagnostics for your washer.

ACTIVATING THE SERVICE
DIAGNOSTIC TEST MODES
1. Be sure the washer is in standby mode
(plugged in with all indicators off).
2. Perform the following sequence of
movement using the cycle selector knob.
NOTE: AFTER RESET, sequence "a" through
"e" must be completed within 6 seconds.
RESET - Rotate cycle selector knob
counterclockwise one or more clicks
to clear sequence.
a. Rotate cycle selector knob clockwise
one click and wait ½ second.
b. Rotate cycle selector knob clockwise
one click and wait ½ second.
c. Rotate cycle selector knob clockwise
one click and wait ½ second.
d. Rotate cycle selector knob
counterclockwise one click and
wait ½ second.
e. Rotate cycle selector knob
clockwise one click.
?Successful activation of Diagnostic Test
Modes will be indicated by all status
LEDs (except for Lid Locked) flashing
ON and OFF in half-second intervals.
NOTE: LED names may vary between
makes and models.


FAULT CODE DISPLAY MODE (Pgs 6-7)
To access fault/error codes, perform steps 1
and 2 of Activating the Service Diagnostic Test
Modes. Turn the cycle selector knob until the
status LEDs or display correspond as follows:
?"Done" LED On, "01" Displayed on 7-segment
01
Sensing Soak Wash Rinse Spin Done
Press the START button to enter Fault Code
Display Mode. The status LEDs will flash
ON and OFF and "cl" is displayed on the
7-segment (if display exists).
1. To view last 4 fault codes:
? Turn cycle selector knob clockwise to view
fault codes in the order of most recent to
oldest. (Refer to Fault/Error Code charts
on pages 6 & 7.)
NOTE: A fault/error code will be removed
from memory if it does not reoccur after
10 consecutive wash cycles.
2. To clear fault codes:
? Turn cycle selector knob until the status
LEDs flash ON and OFF or "cl" is displayed
on 7-segment. (See figure 2, page 2).
?Press and hold START button for 3
seconds to clear all fault codes. Press
POWER to exit Service Diagnostic Mode.

You can also visit searpartsdirect.com for parts, diagrams, and repair information.
If you do not feel confident repairing this problem yourself, then you can have it repaired at your home by a Sears technician. Here is a link for the website: Sears Home Services .
Thank you for your question. Have a great day.

sounds like the tteeth on knob are broken or stripped?

It is possible that presence of moisture within the START button can trigger the cycle to continue as it keep the processor to continue the wash cycle,Hence you must remove the panel and board after disconnecting the wiring harness and use a hair dryer to warm off any presence of moisture on the panel and board. Do it with time to ensure there is no moisture within the panel.
I think this must solve the issue. Repeat the work many times as sometimes moisture and dirt together might form a conductive bond to trigger as a pressed on switch. If possible open panel to clean switch pad.

did he run the diagnostics per the tech sheet within the machine?if it will do everything else but spin out,then the drain pump is plugged,as a plugged drain pump will shut down these front load units,you will need to remove hoses off pump and clean out pump and all hoses from tub to drain stand pipe,by running the diagnostics you can run each washer cycle and see what cycle isnt performing in a matter of 5 minutes versus 1 hour real wash time on some cycles

Keypad/User Interface Failure

F then 2 flashes when in:
Diagnostics Test mode if a stuck key is detected.
Standby mode if there is a user interface mismatch.
DISPLAY (Saved Code) EXPLANATION AND RECOMMENDED PROCEDURE

Console and Indicators
This test is performed when any of the following situations occurs during the Console and Indicators Diagnostic Test:


None of the indicators light up No beep sound is heard Some buttons do not light indicators None of the indicators light up:
1. Perform steps in Accessing & Removing the Electronic Assemblies, and visually check that the P11 connector is inserted all the way into the machine/motor control.
2. Visually check that the user interface assembly is properly inserted in the console assembly
3. If both visual checks pass, replace the user interface assembly.
4. Plug in washer or reconnect power.
5. Activate the Console and Indicators Diagnostic Test mode to verify repair.
6. If indicators still do not light, the machine/ motor control has failed: Unplug washer or disconnect power. Replace the machine/motor control assembly.
Plug in washer or reconnect power. Activate the Console and Indicators Diagnostic Test mode to verify repair.

No beep sound is heard:
1. Perform steps in Accessing & Removing the Electronic Assemblies, and visually check that the P5 connector is inserted all the way into the machine/motor control. If visual check passes, replace the user interface assembly.
2. Plug in washer or reconnect power.
3. Activate the Console and Indicators Diagnostic Test mode to verify repair.
4. If replacing the user interface assembly failed: Unplug washer or disconnect power. Replace the machine/motor control assembly. Plug in washer or reconnect power. Activate the Console and Indicators Diagnostic Test mode to verify repair.


Some buttons do not light indicators:
1. Perform steps in Accessing & Removing the Electronic Assemblies, and visually check that the console electronics and housing assembly is properly inserted
into the front console. If visual check passes, replace the user interface assembly.
2. Plug in washer or reconnect power.
3. Activate the Console and Indicators Diagnostic Test mode to verify repair.


Thanks for using FixYa - a 4 THUMBS rating is appreciated for answering your FREE question.

You might want to check the plumbing in the bottom of the machine for clogs. On most modern washers, the spin cycle will not start if the water is not completely drained or doesn't drain fast enough. I had a similar problem and found a there was a rubber fitting with a plastic cup inside that serves as a trap to prevent debris from entering the pump. It had a piece of scotchbrite, forty cents worth of change and a hairpin stuck in it.

Depending on how your washer controls the beeper, it could be a stuck relay or a fried transistor.

It's a bad wax motor inside the door latch. The diagnostics are buggy and do not test it properly. It should measure about 1.5K ohms, and when 120 VAC is applied to it, it should extend in about a minute. Part number 12002535 is $10 to $15.