Derivation and application of generalized coordinate method stiffness matrix of thin-wall box beam
  Revised:October 28, 2005
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DOI:10.7511/jslx20075136
KeyWord:thin-wall box beam,GCM(Generalized Coordinate Method),restrained torsion,finite element method
WEI Fang-fang  WU Jing  FENG Jian  LV Zhi-tao  WU Sheng-xing
1.School of Civil Engineering,Hohai University,Nanjing 210098,China; 2.School of Civil Engineering,Southeast University,Nanjing 210096,China
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Abstract:
      Stiffness matrix which can be applied in elastic finite element analysis of thin-wall box beam under uniform torsional load is derived according to the initial parameter equation of Fulasolv Generalized Coordinate Method(GCM).The stiffness matrix can achieve high element accuracy,not only being able to be adopted to resolve the problems of box beam with diaphragm under torsional load,but also to be applied in the finite element analysis of complex structure combined with multiple thin-wall box beams.By comparing the deflection and stress results of the thin-wall box beams by means of different theory,some conclusions can be drawn as below:(1)The warp stress results vary remarkably by using the Generalized Coordinate Method(GCM),Wumansji theorem and modified Wumansji theorem.(2)Wumansji theorem can not replace the Generalized Coordinate Method(GCM) to resolve the specific problems in which there are no sufficient diaphragms within the thin-wall box beam.(3)The Generalized Coordinate Method(GCM) has the widest application.