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Finite element analysis of the lateral buckling of a cantilevered I Beam

Technical Report ·
OSTI ID:6066520

This report summarizes the investigation of modeling lateral buckling of a cantilever beam subjected to a uniform shear load on the free end using NIKE3D. First an analytic solution is presented using the Theory of Elastic Stability and Elastic Beam Theory. Four finite element models are then investigated and compared to the analytic solution. The four finite element models can be put into groups of two. The first group uses shell elements to model the beam. One model uses the Hughes/Liu shell formulation and the other uses the YASE shell formulation. The second group uses brick elements to model the beam with the first using the standard B-bar element formulation and the other using the B-bar with incompatible modes formulation. The Hughes/Liu model did not converge at any load but the remaining 3 models gave interesting and meaningful results that appear to be in good agreement with the analytic model.

Research Organization:
Lawrence Livermore National Lab., CA (USA)
Sponsoring Organization:
DOE; USDOE, Washington, DC (USA)
DOE Contract Number:
W-7405-ENG-48
OSTI ID:
6066520
Report Number(s):
UCRL-ID-106827; ON: DE91010123
Country of Publication:
United States
Language:
English