Second Order Analysis

It is possible to affirm that the second order analysis in Karamba can be trusted as a good aproximation of a non-linear analysis like the B's coeficcient method in ASCE Standards?

Thanks in advance,

Márcio

Replies to This Discussion

Permalink Reply by Karamba3D on April 10, 2018 at 12:51pm

Dear Márcio,

the second order theory analysis in Karamba is exact under the assumption of small displacements. For beams numerical inaccuracies arise with increasing ratio of normal force NII to bending stiffness EI. In such cases one should switch to truss elements.

At the heart of the method lies a power series integration of the differential equation for the beam under large normal force. For details see 'H. Rubin and K. J. Schneider, Baustatik Theorie I. und II. Ordnung, 3rd edition, Werner Verlag, 1996'. Sadly there is no English version of the book available.

Best,

Clemens

RSS