Sailvi,

Thanks for the extra detail but something still doesn't add up in the information provided so far. Do you have any links to the reports published by the 3 authorities you mentioned? What is clear is that the crew did an excellent job in incredibly trying circumstances. The thing that I still don't understand though is how the a/c ended up where it did. If you look at the photos provided by the link at post 2 and compare what you can see to a satellite view of the field available here;

Airport Maps, Charts, Diagrams - Barajas Airport - LEMD - MAD - Airport Guide

and also using a Jeppy chart 10-9B it is fairly easy to make out that the jet came to rest off the southern edge of taxiway J at point J2-3 and pointing towards the southerly end of terminal 4. That is quite some distance from any runway. It must have been one hell of a ride between them leaving the runway and the a/c coming to rest there. Either that or they vacated the runway in a controlled manner but lost steering later, which seems more likely. You don't mention loss of the reserve brake and steering system in you post which may be the key.

After an overweight flaps 20 landing with one reverser and one set of brakes I sure wouldn't try to taxi even if I had nosewheel steering. And, I'm guessing that they probably had the C1 ELEC HYD PRESS light on so they lost reserve brakes and nosewheel steering.

Ah yes Airbubba but when you press the reserve brakes and steering switch it is supposed to set up a separate small isolated hydraulic system. It re-activates the #1 centre pump to power it regardless of what the pump indications were before. Yes of course the pump press light would have been on after the initial loss of the centre system but it should have been available to the reserve brakes and steering unless that system was also compromised. That is really the point I was trying to establish. Perhaps the reserve steering was working on landing but failed later after they had vacated. There has to be some reason why they left the hard surface so far from the runway.

I want to point out that I am not criticizing or judging here. As I said earlier I think the crew did a brilliant job. I just want to learn. I have been flying the 76 for 22 years now and flew my first jet 37 years ago. I am still learning and I still want to learn more. Isn't that the way it should be?

You're right, I should have said if that light was still on after pressing the reserve brakes and steering switch.

As you know, the Boeing QRH (13.27) has you check that C1 ELEC HYD PRESS light after you push the reserve brakes and steering switch. If the light is on, you don't have fluid left in the valve isolated system:

Anyway, after any high energy emergency landing with major hydraulic issues I would be inclined to have the fire crew look me over, make sure the fuse plugs on the tires are not about to blow, get the gear pinned, hook up a tug and shut down on the runway. Maybe make a turnoff if I did have nosewheel steering but I don't think I would let them talk me into taxiing to the gate or the maintenance hangar after such a catastrophic systems failure.

Sailvi's summary does not appear to match 100% with what Simon reported the Spanish authorities said:
"On Dec 11th 2013 the CIAIAC reported the aircraft blew a right aft tyre during takeoff from runway 36L, debris of which impacted the lower side of the wing and causes a hydraulic failure preventing the gear from being retracted. The aircraft landed on runway 32L. After landing the aircraft vacated the runway via the last rapid exit taxiway to the left and stopped in a grassy area about half way between runway 32L and Terminal T4 with all 8 main tyres being flat. The aircraft received substantial damage to the right hand wing including the loss of internal and external components as well as to both engines due to ingestion of stones during the excursion from the taxiway."

So did they veer off the runway directly or did they take the last rapid exit and then went off-road?

Agreed Airbubba,

BRE the place the a/c finally came to rest is around 800m from the start of the last rapid exit taxiway off 32L. There are also several sharp taxiway turns enroute which it seem were negotiated.

Here is a link to a photo of the Delta Maintenance Crew repairing the aircraft.
It was returned to service on Dec 21st.

N182DN. Delta Force working hard | Flickr - Photo Sharing!