Static analysis of tall buildings based on Timoshenko beam theory

Abstract

In this paper, the continuum model, which is known as Kwan model, has been presented for the analysis of tall buildings that have been as an appropriate approximation of the overall behavior of the structure. Tall building was modeled as a cantilever beam and analyzed with the assumption of flexural behavior based on Euler-Bernoulli Beam Theory, then the displacement of floors was calculated. o consider the shear lag effects in the overall displacement of the structure, Timoshenko's beam model has been considered and related relations were extracted. The lateral displacement formulas obtained and calculated for the framed tube system modeled by Kwan's method. To verify the results, numerical models were created in software (ETABS) and statically were analyzed for lateral loading. Finally the results were compared with those obtained by computer analysis and the corresponding diagrams were presented. At the end, the shape factor formula has been developed to improve the results of the Timoshenko's theory.

Influence of Shear Strain on the Deflection of Girders

“…As evidenced by the results above, displacements of numerical models M2, M3a, M3b, M4a, and M4b and analytical solution A2 are similar, differences are in the range of 0.0-6.0%. Numerical models behaved more rigidly (negative relative differences, i.e., smaller displacement values), which corresponds to the classical, displacement-based definition of finite elements [22,23]. Only models M3a and M4a exhibited larger displacements near the girder axis compared to the displacements determined using analytical method A2, which is a consequence of the position of the concentrated force in these models.…”

Perspective Chapter: Dynamic Analysis of High-Rise Buildings Using Simplified Numerical Method

“…An approximate method for the static and dynamic analysis of high-rise buildings is continuum method in which these structures are substituted by a continuum beam/ plate, adopting Euler-Bernoulli or Timoshenko beam theory/Classical or Mindlin or higher-order plate theory. The bending analysis of tall building have been performed by employing continuum-based Kwan model, here, tall buildings were considered as a cantilever beam and studied bending behavior of tall building by employing Euler-Bernoulli beam theory [8] and also compared the analytical results with numerical results obtained by ETABS software. Framed tube structures primarily act like cantilever hollow box beams.…”

Parameter Identification of Frame Structures by considering Shear Deformation

“…For the member stiffness matrix k ′ in equation ( 2), it is necessary to consider if shear deformation is included. The transverse shear deformation of the frame structure affects its nodal displacements [32]. Both the Euler-Bernoulli and Timoshenko beam theories are methods of structural analysis; however, they differ in their assumptions [33].…”