Exact evaluation of the location of the optimum torsion axis

Marino, Edoardo M.; Rossi, Pier Paolo

doi:10.1002/tal.252

Cited by 47 publications

(21 citation statements)

References 8 publications

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“…Cheung and Tso (1986) proposed the 'rigidity centers (CRs)' for structural applications and the need to determine a vertical axis (at least in uniform over the height building structures) which can be identified as a minimum torsion axis has led to many approximations. Makarios and Anastassiadis (1998) introduced the concept of the 'axis of optimum torsion' and an alternative mathematical procedure was proposed by Marino and Rossi (2004).…”

Section: Introductionmentioning

confidence: 99%

Minimizing the torsional response of inelastic multistory buildings with simple eccentricity

Georgoussis

2015

Can. J. Civ. Eng.

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Common types of multistory buildings, detailed according to a planar static analysis under a code lateral loading, may have a practically translational behavior when the mass axis is passing through (or within a close distance from) the modal center of rigidity (m-CR). The concept of this point in elastic multistory structures was introduced by the author in earlier papers, but it retains its value in structures composed by inelastic bents, since it specifies the optimum arrangement of these structural elements in terms of producing minimum torsional response in the case of a strong ground motion. This is demonstrated in typical five story buildings, composed by moment resisting frames and structural walls, under the ground motions of Kern County and Loma Prieta.

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Section: Introductionmentioning

confidence: 99%

Minimizing the torsional response of inelastic multistory buildings with simple eccentricity

Georgoussis

2015

Can. J. Civ. Eng.

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“…A similar method for estimating the location of the so‐called optimum torsional axis by minimizing the sum of the squares of floor rotations of a building subjected to a set of static loads can be found in the work of Marino and Rossi (). The validity of the optimum torsional axis was also investigated by Makarios et al () and Athanatopoulou and Doudoumis ()…”

Section: Lateral‐torsional Coupling Effects On Torsionally Irregular mentioning

confidence: 92%

Evaluation of lateral‐torsional coupling in earthquake response of asymmetric multistory buildings

Yiu

Chan

Huang

et al. 2013

Structural Design Tall Build

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SUMMARY This paper presents a practical method for evaluating lateral‐torsional coupling in the elastic earthquake response of asymmetric multistory buildings. A transformation technique is first developed to shift the floor centers of mass of an asymmetric building to new reference positions where the sum of the squares of all floor rotations of the building due to lateral inertia loads is a minimum. By setting the locus of the floor centers of mass of the building at the new reference positions, a representative eccentricity and an effectively uncoupled system for the building can be established on the basis which an equivalent eccentric single mass system can be developed. The additional lateral translations caused by seismic torsional effects in the building can be analytically determined and expressed in terms of the representative building eccentricity and the uncoupled periods evaluated using the effectively uncoupled system. The effectiveness and practicality of the proposed method are illustrated with two 30‐story practical buildings. Copyright © 2013 John Wiley & Sons, Ltd.

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“…This design method is much easier to handle than those presented before because of the lack of design eccentricities. Indeed, it should be noticed that calculation of any design eccentricity preliminarily requires evaluation of the parameters e s and θ , which can be rigorously defined only with reference to regularly asymmetric buildings and evaluated in actual buildings only by means of complex and generally approximate procedures (Calderoni et al 2002, Makarios andAnastassiadis 1998a andb;Marino and Rossi 2004).…”

Section: The Proposed Design Methodsmentioning

confidence: 99%

Static versus modal analysis: influence on inelastic response of multi-storey asymmetric buildings

Ghersi

Marino

Rossi

2007

Bull Earthquake Eng

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The paper investigates the influence of design procedures on the seismic response of multi-storey asymmetric buildings. To this end, some structures are designed according to methods based on either static or modal analysis, with or without design eccentricities. The seismic response of these systems is determined by means of inelastic dynamic analyses and the design is thoroughly examined in order to explain the results of the dynamic analyses. Attention is basically focused on the ability of design methods to prevent asymmetric buildings from experiencing ductility demands much larger than those of the corresponding torsionally balanced systems. Numerical analyses underline that while design procedures based on either static or modal analysis are suitable for the design of torsionally rigid structures only those based on modal analysis lead to the satisfactory performance of torsionally flexible buildings. Furthermore, the study highlights the qualities of a design method proposed by the Authors. Its application does not require any explicit calculation of design eccentricities and leads to proper seismic response of both torsionally rigid and flexible asymmetric buildings.

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Exact evaluation of the location of the optimum torsion axis

Cited by 47 publications

References 8 publications

Minimizing the torsional response of inelastic multistory buildings with simple eccentricity

Minimizing the torsional response of inelastic multistory buildings with simple eccentricity

Evaluation of lateral‐torsional coupling in earthquake response of asymmetric multistory buildings

Static versus modal analysis: influence on inelastic response of multi-storey asymmetric buildings

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