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Dynamic P‐Δ effects for multistorey steel columns in long‐span tube‐in‐tube tall buildings
Author(s) -
Lee WenHae,
Yu ChauCho,
Tung ShihHeng
Publication year - 2006
Publication title -
the structural design of tall and special buildings
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.895
H-Index - 43
eISSN - 1541-7808
pISSN - 1541-7794
DOI - 10.1002/tal.288
Subject(s) - structural engineering , column (typography) , flexural rigidity , span (engineering) , beam (structure) , superposition principle , stiffness , tube (container) , vibration , rigidity (electromagnetism) , engineering , torsion (gastropod) , materials science , physics , mechanical engineering , quantum mechanics , connection (principal bundle) , medicine , surgery
An Euler–Bernoulli beam–column model is employed to investigate the dynamic P‐Δ effects of steel columns located at the external tube of a long‐span tube‐in‐tube tall building. A steel column with multistorey lateral open‐web beam supports is modelled as a beam–column element supported by elastic springs, from which a governing partial differential equation is established for the vibration of the column subjected to an axial compression force, lateral beam forces and base excitations. The problem is solved by a modal superposition method for both transient and steady‐state solutions. A numerical example is illustrated and the results indicate that the secondary moment of a steel column induced from dynamic multistorey P‐Δ effects is essential and should not be ignored in a practical design. The influences of the factors including flexural rigidity of the column, axial stiffness of the open‐web beams and the magnitude of the compressive axial force are discussed. Copyright © 2005 John Wiley & Sons, Ltd.