I' ve never flown MD11 but I have some expirience in DC10.
I did the two engine ferry flight training and i've flown one of those flights with the engine N#2 shot down.
In that case, the elevator trim must be in 0 because the tendency of the aircraft to pitch up during the take off roll.
There was a warning in the DC10 AOM in case of engine #2 failure during TO to be aware of the change of pitch an the chance to have a tail strike.
I guess the MD11 must be similar.