A machine tool for machining a twisting separation surface forming an interface between first and second portions of a longitudinal structural component having a twisted profile or cross-section, comprising first stationary support means for holding a structural component portion having an interface surface to be machined, said structural component having a fixed longitudinal axis, second movable support means movable back and forth in the direction of said longitudinal axis, first carrier means operatively secured to said second movable support means, second carrier means operatively carried by said first carrier means for carrying a tool, first and second guide means connecting said second carrier means in a tiltable manner to said first carrier means for tilting a tool secured to said second carrier means about said longitudinal axis, said second movable support means simultaneously moving said second carrier means in the direction of said longitudinal axis of said structural component, said machine tool further comprising third guide means including a stationary guide member extending alongside said structural component portion, said stationary guide member being arranged at an angle (.alpha.) relative to a horizontal in parallel to said longitudinal axis, said third guide means further including a guide leg movable with said second carrier means, thrust bearing means movably securing an upper end of said guide leg to said second carrier means, journal means connecting a lower end of said guide leg to said stationary guide member, whereby said guide leg moves up or down in accordance with said angle (.alpha.) as said second movable support means move back and forth for tilting said second carrier means about said longitudinal axis as permitted by said thrust bearing means and by said journal means in response to a back and forth movement of said second movable support means.