This is where you are particularly confused and your calculation is simply WRONG. You are assuming that the 'capacity' in DCR represents the yield point of the steel. This is not the case. Allow me to refer you to
NISTNCSTAR1-2A
"5.2 Calculation of Demand/Capacity Ratios
The DCRs were calculated by diving component demands by component capacities, taken at unfactored (working) loads and at working stresses, not at ultimate loads or yield stresses... The component capacities were based on the nominal steel strength as specified in the original design documents..."
In other words, they have worked back by defining capacity = yield stress/steel strength, and then loaded up their model and calculated the actual demands on the steel members to give a DCR ratio. In some cases that gave a ratio greater than 1.
Yes you do. You have to! How on earth can you actually work out how much weight the core could take before finally collapsing! You note earlier yourself that yield failure is not actual failure, and this is particularly the case with the steel used in the core which has a tensile strength far in excess of the yield point. Now tensile strength is the widely quoted figure, but as looked at earlier, it seems that compressive strength for A36 steel will be, if anything,
greater than the tensile strength. If you evidence that it is
less then you must give it.
Well, let's assume a calm day. In any event, wind loading was handled to a great degree by the outside shell with little reliance on the core, as we well know.
It will be around 200% before irreversible damage starts to occur. That is quite different to the point of failure. Nice attempt at trying to blur the two!
okay, but that was simply a speculative calculation towards a maximal figure which was as I said superfluous.
No my yield point calculation was sound. I did make one mistake - I took the 1.9 from memory. In actual fact I guess its the 1.67. Let me remind me of your quote, and your own quoted figures which you now ignore like a disowned child:
Careless of me. I should have checked. So let's revise our calculation, but include your 16% to reflect the capacity above minimum specification - after all, you are happy with it:
Redundancy of core= (1/0.83) * 1.67 * 58/36 * 1.16 = 3.76 = 376%
As commented above, that's the figure we have for the job, and if anything it seems like an underestimate.
Well 376% does quite nicely.
But that's not the question under dispute. You attacked my claim that the core could take the entire design load of the WTC as 'ludicrous'. Repeatedly. In fact you've been incredibly patronising. I am showing that my statement was quite sound and in so doing exposing you for the most tiresome blusterer you are.
I hope you enjoyed it.