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BEAM STIFFNESS MATRIX BASED ON THE ELASTICITY EQUATIONS
Author(s) -
SCHRAMM UWE,
RUBENCHIK VLADIMIR,
PILKEY WALTER D.
Publication year - 1997
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19970130)40:2<211::aid-nme58>3.0.co;2-p
Subject(s) - elasticity (physics) , stiffness matrix , stiffness , direct stiffness method , matrix (chemical analysis) , mathematics , mathematical analysis , structural engineering , materials science , engineering , composite material
A new general beam stiffness matrix which accounts for bending, torsion and shear deformation is derived from an elasticity solution of the beam. The influence of shear and torsion is considered using a 3×3 matrix of deformation coefficients. Numerical examples are presented to demonstrate the behaviour of the deformation coefficients and of the beam stiffness matrix. © 1997 by John Wiley & Sons, Ltd.