Structural engineering theory: Difference between revisions

Revision as of 16:06, 22 September 2013

Revision as of 21:08, 12 May 2014

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*If, for a given external load, it is possible to find a distribution of moments that satisfies equilibrium requirements, with the moment not exceeding the yield moment at any ___location, and if the boundary conditions are satisfied, then the given load is a '''lower bound''' on the collapse load.

*If, for a small increment of displacement, the internal work done by the structure, assuming that the moment at every plastic hinge is equal to the yield moment and that the boundary conditions are satisfied, is equal to the external work done by the given load for that same small increment of displacement, then that load is an '''upper bound''' on the collapse load.

If the correct collapse load is found, the two methods will give the same result for the collapse load.<ref>{{cite book|title=Design of Concrete Structures|author=Nilson, Arthur H.; Darwin, David; Dolan, Charles W.|publisher=McGraw-Hill Professional|date=2004|isbn=0-07-248305-9|pages=486}}</ref>