<font color="#000066">(by the ref that Parks made to "hull girder", would that be another term for keel?)
Stephen,
No, The keel forms one component of the hull girder. The best way to describe the hull in terms of structural strength is to liken it to a box-shaped girder. No one component of the structure provides all the longitudinal strength...the deck, side and bottom plating make up a considerable portion of the structure's strength. Stresses resulting from a transverse bending moment are typically less severe than those due to a longitudinal bending moment, so the design of a hull girder provides more strength along the longitudinal axis.
The most significant modifications to the box-like structure are the tapered ends at both bow and stern, as well as the sheer of the deck. The form is further modified by the turn of the bilge and the fairing of the bottom toward the ends. Because the streamlined underwater form is symmetrical about the longitudinal centreplane, a rigid centreplane girder is required that runs from end to end...that is the keel structure. The structural frame of the ship is built up with the keel structure as the central member and is composed of longitudinal and transverse members that for a framework over which the plated is riveted (or welded). The strength of the hull girder lies in the rigidity of this framework, coupled with its "skin."
The keel itself is generally a heavy I-beam or T-bar. The strength of the hull girder is not dependent solely on that one component. The hull girder's strength depends upon a uniform and continuous structure. When I say the hull girder failed, I mean that the entire framework, keel structure included, suffered a discontinuity of some sort that allowed the concentration of stresses to occur in and propogate through adjacent members. A failure in the shell plating could begin a general collapse of the hull girder, just as easily as a fracture in any of the key longitudinal members, including the keel.
As a matter of fact, that's exactly what I believe happened. I believe that it was a near-simultaneous failure in the both the shell plating and a few of the key longitudinal members along the bottom of the hull that caused a bending moment that steadily increased as progressive flooding increased the loads on the structure. The bending moment moved aft as the bow slowly flooded, increasing all the while. When the bending moment found a portion of the hull girder with several discontinuities in the structure (open machinery spaces, large public spaces, staircases, etc.), the vertical shear stresses overwhelmed the rigidity of the structure, causing a catastrophic collpase. The keel structure was partially compromised during that collapse but did not completely fail, testifying to its individual strength. But, as I described, the keel was but part of the overall structure and would eventually fail when it lost the supporting strength of the framework of which it was a part.
Keep in mind that the angle of sinking may have no relation to the fracturing of the structure. A ship has loads acting upon it at times. The USS Schenectedy actually broke in half while tied up to the pier in January 1943. The steel was made brittle by cold temperature, but even so, static loading was what caused the hull girder to fracture.
By the way, increased brittleness in steel is not solely a result of cold temperatures. Some steel can exhibit brittle behaviour when a sudden impact load is applied, regardless of temperature, even if that same steel had shown ductility when loaded slowly. I don't believe this scenario was tested with samples brought up from the wreck. Too many people have a vested interest in seeing the cold blamed for the failure of the steel.
So, if you can visualise the skin and decks breaking, you can visualise the keel breaking. Computer simulations have provided probable angles for the break, but none have been proven. I therefore can't tell you what happened in exact units. I can only tell you what could not have happened.
Parks
P.S. A good portion of my explanation above is lifted from my old Naval Architecture textbooks and notes, which I thankfully kept. I wanted to ensure that I remembered my education correctly and not just give an interpretation based on memory.