Hallo,
how to get the nonlinear displacment at the middel of simply supported beam with concentrated force, i want to see the difference between abaqus static without NLGEOM and with NLGEOM. for small deflection i get good result with FEM using Euler–Bernoulli beam theory. However for NLGEOM i need to apply large deflection theory.
Thanks in advance
Hi Tamer Qaimari ,
for certain boundary conditions the solution can be formulated in a closed analytical form with elliptic functions. If you are going to analyze three-point bending with sliding simple supports, i.e. the rotations are free, but tangential displacements are allowed (with or without friction), then the closed-form solution for arbitrary deflections (of course, the material must behave linear-elastic) can be formulated. Please specify the boundary conditions more precisely.
Dear Tamer Qaimari,
attached please you will find the part of my Book of structural mechanics edited in Italian by McGraw-Hill, devoted to Elastic-plastic beams. In particular Sect.8.3.3 gives the procedure you need. I hope the book would be useful for you. However if you give me more data on geometry (section, lenght..) and on the material of your beam's problem, I will give you more help.
Regards,
Luciano Nunziante
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