Simple estimation of the maximum elastic roof displacement of a slender cantilever RC wall accounting for dynamic effects

This article presents a simple method for estimating the maximum elastic roof displacement of a slender cantilever reinforced concrete RC wall, accounting for dynamic effects, named δ t e ν. The formulation computes δ t e ν as a function of an equivalent...

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Autor principal:	Quintana Gallo,Patricio
Lenguaje:	English
Publicado:	Universidad Católica de la Santísima Concepción 2018
Materias:	reinforced concrete RC slender cantilever wall lateral roof displacement elastic limit dynamic effects
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0718-28132018000100055
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spelling	oai:scielo:S0718-281320180001000552018-07-18Simple estimation of the maximum elastic roof displacement of a slender cantilever RC wall accounting for dynamic effectsQuintana Gallo,Patricio reinforced concrete RC slender cantilever wall lateral roof displacement elastic limit dynamic effects This article presents a simple method for estimating the maximum elastic roof displacement of a slender cantilever reinforced concrete RC wall, accounting for dynamic effects, named δ t e ν. The formulation computes δ t e ν as a function of an equivalent concentrated lateral load, acting at an equivalent height hv. The dynamic effects are included by calculating the equivalent height of a load pattern representative of the first mode of vibration, h1, and reducing it to be consistent with a lateral load distribution that imposes a deformed shape representative of higher modes upon the wall. This is executed when dividing h1 by the dynamic amplification factor ων, previously defined for capacity-based shear design. The displacement δ t e ν is obtained by imposing nominal yielding conditions at the critical cross-section of the wall, for the lateral load acting at the reduced height hv. Including well-established expressions for the nominal yielding curvature of RC cross-sections, a new formula for computing the maximum elastic top lateral drift ratio of the wall as a function of dimensionless numbers associated to the wall geometry, topology, and reinforcing steel is proposed. Using an example, it is shown that the novel expression provides more conservative results compared to those obtained with classical and recently proposed formulas, noting that this results into larger extensions of horizontal boundary confinement elements of a wall, for the same ultimate roof displacement. To conclude, the formulation is presented in a way suitable for its implementation within the Chilean code, and in simplified versions useful for quick hand calculations.info:eu-repo/semantics/openAccessUniversidad Católica de la Santísima ConcepciónObras y proyectos n.23 20182018-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0718-28132018000100055en10.4067/s0718-28132018000100055
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	reinforced concrete RC slender cantilever wall lateral roof displacement elastic limit dynamic effects
spellingShingle	reinforced concrete RC slender cantilever wall lateral roof displacement elastic limit dynamic effects Quintana Gallo,Patricio Simple estimation of the maximum elastic roof displacement of a slender cantilever RC wall accounting for dynamic effects
description	This article presents a simple method for estimating the maximum elastic roof displacement of a slender cantilever reinforced concrete RC wall, accounting for dynamic effects, named δ t e ν. The formulation computes δ t e ν as a function of an equivalent concentrated lateral load, acting at an equivalent height hv. The dynamic effects are included by calculating the equivalent height of a load pattern representative of the first mode of vibration, h1, and reducing it to be consistent with a lateral load distribution that imposes a deformed shape representative of higher modes upon the wall. This is executed when dividing h1 by the dynamic amplification factor ων, previously defined for capacity-based shear design. The displacement δ t e ν is obtained by imposing nominal yielding conditions at the critical cross-section of the wall, for the lateral load acting at the reduced height hv. Including well-established expressions for the nominal yielding curvature of RC cross-sections, a new formula for computing the maximum elastic top lateral drift ratio of the wall as a function of dimensionless numbers associated to the wall geometry, topology, and reinforcing steel is proposed. Using an example, it is shown that the novel expression provides more conservative results compared to those obtained with classical and recently proposed formulas, noting that this results into larger extensions of horizontal boundary confinement elements of a wall, for the same ultimate roof displacement. To conclude, the formulation is presented in a way suitable for its implementation within the Chilean code, and in simplified versions useful for quick hand calculations.
author	Quintana Gallo,Patricio
author_facet	Quintana Gallo,Patricio
author_sort	Quintana Gallo,Patricio
title	Simple estimation of the maximum elastic roof displacement of a slender cantilever RC wall accounting for dynamic effects
title_short	Simple estimation of the maximum elastic roof displacement of a slender cantilever RC wall accounting for dynamic effects
title_full	Simple estimation of the maximum elastic roof displacement of a slender cantilever RC wall accounting for dynamic effects
title_fullStr	Simple estimation of the maximum elastic roof displacement of a slender cantilever RC wall accounting for dynamic effects
title_full_unstemmed	Simple estimation of the maximum elastic roof displacement of a slender cantilever RC wall accounting for dynamic effects
title_sort	simple estimation of the maximum elastic roof displacement of a slender cantilever rc wall accounting for dynamic effects
publisher	Universidad Católica de la Santísima Concepción
publishDate	2018
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0718-28132018000100055
work_keys_str_mv	AT quintanagallopatricio simpleestimationofthemaximumelasticroofdisplacementofaslendercantileverrcwallaccountingfordynamiceffects
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Simple estimation of the maximum elastic roof displacement of a slender cantilever RC wall accounting for dynamic effects

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