An analytical proof has been developed which demonstrates the equality of radial and edge plastic work rate in an arbitrarily shaped plate that is collapsing in pseudo-conical mode. This new-found equality relation eliminates the need to compute the radial plastic work rate, substantially reducing the effort required to compute the upper-bound plastic collapse load using the yield-line theory.
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References
1.
DruckerD. C.GreembergW., and PragerW., ‘The safety factor of an elastic plastic body in plane strain’, Trans. A.S.M.E., J. Appl. Mech., 73, 371 (1951).
2.
CalladineC. R., Plasticity for Engineers, Ellis Horwood, Chichester, UK, 1985.
3.
JohansenK. W., ‘Moments of rupture in cross-reinforced slabs’, Proc. Int. Assn. Bridge and Struc. Engrg., 1, 277–296 (1932).
4.
JohnsonW., ‘Upper bounds to the load for the transverse bending of flat rigid-perfectly plastic plates’, Int. J. Mech. Sci., 11, 913 (1969).
