THE UNIFIED SOLUTION FOR A BEAM OF RECTANGULAR CROSS-SECTION WITH DIFFERENT HIGHER-ORDER SHEAR DEFORMATION MODELS

Authors

  • TIECHENG DUAN XI'AN JIAOTONG UNIVERSITY
  • LUXIAN LI XI'AN JIAOTONG UNIVERSITY

Keywords:

FUNDAMENTAL HIGHER-ORDER TERM, UNIFIED HIGHER-ORDER SHEAR DEFOR-MATION MODEL, SHEAR CORRECTION FACTOR, UNIFIED SOLUTION, CONVENTIONAL BEAM THEORY

Abstract

THE UNIFIED SOLUTION ARE STUDIED FOR A BEAM OF RECTANGULAR CROSS SECTION. WITH THE ROTATION DEFINED IN THE AVERAGE SENSE OVER THE CROSS SECTION, THE KINEMATICS WITH HIGHER-ORDER SHEAR DEFORMATION MODELS IN AXIAL DISPLACEMENT IS FIRST EXPRESSED IN A UNIFIED FORM BY USING THE FUNDAMENTAL HIGHER-ORDER TERM WITH SOME PROPERTIES. THE SHEAR CORRECTION FACTOR IS THEN DERIVED AND DISCUSSED FOR THE FOUR COMMONLY USED HIGHER-ORDER SHEAR DEFORMATION MODELS INCLUDING THE THIRD-ORDER MODEL, THE SINE MODEL, THE HYPERBOLIC SINE MODEL AND THE EXPONENTIAL MODEL. THE UNIFIED SOLUTION IS FINALLY OBTAINED FOR A BEAM SUBJECTED TO AN ARBITRARILY DISTRIBUTED LOAD. THE RELATION WITH THAT FROM THE CONVENTIONAL BEAM THEORY IS ESTABLISHED, AND THEREFORE THE DIFFERENCE IS REASONABLY EXPLAINED. A VERY GOOD AGREEMENT WITH THE ELASTICITY THEORY VALIDATES THE PRESENT SOLUTION.

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Published

2016-04-12

Issue

Vol. 13 No. 9 (2016)

Section

Articles

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