If we remove the parts of M12 beyond the projection of the Arm thru M12, your point becomes clear. I have attempted to show this in Fig 1.
But what happens if there is a severely sloping construction joint somewhere between the two PT anchors?
Or an identifiable plane which could simulate a joint. Perhaps this is a problem with concrete as a material and not something that can be applied universally to all materials.
Were M12 and the Arm cast while laying on their side and and monolithically, then forms stripped and allowed to cure and dry, it would likely crack at the interface with M12 due to shrinkage and drying stresses – concrete always seems to crack at reentrant corners.
Were the Arm cast alone and in one piece and then PT added, I see no reason for a diagonal crack to form so there is not a defined sloping plane for failure. Joining another and different section of concrete may create an opportunity for cracking and may define a plane for consideration. Casting M12 at a different time than casting the Arm clearly creates a joint and a defined plane.
So IF, and it is an “if”, the Arm develops a defined sloping plane, the plane must transfer a component which creates shear at the plane. I tried to show this in Fig 2.
And I tried to illustrate my concern for not having significant axial load across a sloping joint in a compression member using Fig 3.
No one would think of allowing a joint as shown in Fig 3.
Plus – if anyone had seen cracking in a pier at a sloping joint and that in anyway looked like the cracking seen on the deck at Node 11/12 they would have known it was coming down and soon. To see a 1'9” X 2 ft column (same size as M11) supporting one end of a 174 foot 950 ton concrete Albatruss (spelling intended) should have alerted someone. And M11 had much more load – about 1500 kips axial.
As I recall, the ACI code allowed or addressed Shear-Friction design where (paraphrasing here and not complete) different materials interface, where construction joints are used, and where a shear plane can be defined. I doubt that they ever envisioned a condition like M12 with a PT'd Arm.
OK, DDDDave – (note – my decoder ring is working again) now there are three sketches to admire. Better watch your six, Industrial Light and Magic.
Thanks,