Issue 22

S. Bennati et alii, Frattura ed Integrità Strutturale, 22 (2012) 39-55; DOI: 10.3221/IGF-ESIS.22.06 55 2 2 2 0 6 4 3 2 2 2 2 0 0 2 2 2 2 3 2 2 0 0 0 0 ( sin tanh cos ) cos tanh sin 1( ) ( )( ) 2 2 ( ) sin ( )[ ( ) ] tanh cos tanh sin 1 f f f kB a c d c h M A EJ c d c EJ M a a c l d M EJ E A h a c M a c b c d c EJ                                                               2 2 0 2 0 1 3 2 2 2 0 2 0 2 3 3 4 2 2 2 2 0 3 2 2 2 2 0 5 ( ) tanh sin cos tanh sin tanh ( ) tanh cos cos tanh sin 0, 2 [ ( ) tan 1 h ]                                               f f f f f f f f M M b c kB h EJ EJ B EJ c d c M M d b c kB h EJ EJ B EJ c d c kB M B B E A EJ kB M M h B d E b E A J E J E J B 6 1 6 1    A A B ( A2) 1 2 2 2 3 1 2 3 4 5 1 2 3 2 4 0 1 0 2 0 3 0, 2 sin cos 3 2 3 2 ( ) ( ) ( )                     M C C EJ C B c B c B c B c B C c C c C a c C a c C a c C The integration constants for the solution in stage 3 are given again by Eqs. (A2), provided that the current lengths a and    d l a c are considered in place of 0 a and 0   d b c , respectively.