J. Desquines et al., INPLANE LIMIT MOMENT FOR AN ELBOW - LOWER-BOUND ANALYTICAL SOLUTION AND FINITE-ELEMENT PROCESSING BY ELASTIC COMPENSATION METHOD, International journal of pressure vessels and piping, 71(1), 1997, pp. 29-34
Based on the equilibrium equations used by Reissner and Clark, we sugg
est a closed-form lower-bound solution of the limit moment for an infi
nite elbow (without adjacent straight sections) in-plane bending, whic
h improves the solution suggested by Calladine. The finite element sol
ution is simultaneously obtained by means of a module programmed with
the Castem 2000 code, which enables the perfectly plastic problem to b
e solved by means of a sequence of incompressible elastic calculations
. (C) 1997 Elsevier Science Ltd.