Limit equilibrium analysis of masonry buttresses and towers under lateral and gravity loads

Makris, Nicos; Alexakis, Haris

doi:10.1007/s00419-015-1027-2

Cited by 15 publications

(14 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…For a distributed load, the line of thrust is curved, and for a concentrated load, the line of thrust is piecewise linear . Cracking occurs when the eccentricity of the line of thrust from the centre line of the wall exceeds t /6:

false| \overset{M}{true} false(x false) false| ⩾ P \frac{t}{6} .

Upon cracking, the effective thickness of the wall reduces to t c , and the line of thrust moves towards the edge of the cross section (Figure A).…”

Section: Model Formulationmentioning

confidence: 99%

See 1 more Smart Citation

Analytical model for the out‐of‐plane response of vertically spanning unreinforced masonry walls

Godio

Beyer

2017

Earthq Engng Struct Dyn

View full text Add to dashboard Cite

SummaryAn analytical model describing the flexural response of vertically spanning out-of-plane loaded unreinforced masonry walls is presented in this paper. The model is based on the second-order Euler-Bernoulli beam theory and captures important characteristics of the out-of-plane response of masonry walls that have been observed in experimental tests and from numerical studies but for which an analytical solution was still lacking: the onset and the evolution of cracking, the peak strength of the out-of-plane loaded walls, and the softening of the response due to P−Δ effects. The model is validated against experimental results, and the comparison shows that the model captures both the prepeak and postpeak response of the walls. From the analytical model of the force-displacement curve, a formula for the maximum out-of-plane strength of the walls is derived, which can be directly applied in engineering practice. KEYWORDSanalytical model, out-of-plane behaviour, pushover analysis, unreinforced masonry

show abstract

false| \overset{M}{true} false(x false) false| ⩾ P \frac{t}{6} .

Upon cracking, the effective thickness of the wall reduces to t c , and the line of thrust moves towards the edge of the cross section (Figure A).…”

Section: Model Formulationmentioning

confidence: 99%

“…For a distributed load, the line of thrust is curved, and for a concentrated load, the line of thrust is piecewise linear. 29,35 Cracking occurs when the eccentricity of the line of thrust from the centre line of the wall exceeds t∕6:…”

Section: Basic Equationsmentioning

confidence: 99%

Analytical model for the out‐of‐plane response of vertically spanning unreinforced masonry walls

Godio

Beyer

2017

Earthq Engng Struct Dyn

View full text Add to dashboard Cite

show abstract

“…Figure 1 illustrates four possible collapse mechanisms of masonry towers due to lateral loads: vertical shear crack (#1), rocking failure (#2), rocking failure with limited tensile strength (#3) and horizontal sliding (#4), [5], [11], [19], [20]. These mechanisms represent simple cases where the stiffness of the tower as a block is relatively high compared to small deformations.…”

Section: Failure Mechanismsmentioning

confidence: 99%

“…The failure mechanisms follow the crack pattern propagating through mortar interfaces. A horizontal sliding could occur if low quality deteriorated mortar constituting the bed joints is combined with low levels of pre-compression [20], e.g. low density or short towers.…”

Section: Failure Mechanismsmentioning

confidence: 99%

Limit Analysis Approach for the Seismic Vulnerability Reduction of Masonry Towers Through Strengthening With Traditional and Innovative Materials

Shehu¹,

Valente²

2017

Proceedings of the 6th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

View full text Add to dashboard Cite

show abstract

“…Ochsendorf ve De Lorenzis çalışmalarında [9] dikdörtgen yığma payandaların tekil yükleme altında göçmesini incelemiş ve yapılan deney sonuçları ile [8]'deki analitik sonuçları karşılaştırmışlardır. Makris ve Alexakis çalışmalarında [10], yığma payanda ve kulelerin yatay ve düşey yükler altında sınır denge çözümlemesini yapmışlardır. Nikolinakou vd.…”

Section: Gi̇ri̇ş (Introduction)unclassified

Dikdörtgen payandalı yüksek yığma duvarların düzlem dışı deprem dayanımlarının yaklaşık hesabı

İzol¹,

Gürel²,

Pekgökgöz³

et al. 2018

Gazi Üniversitesi Mühendislik-Mimarlık Fakültesi Dergisi

View full text Add to dashboard Cite

Highlights:Graphical/Tabular Abstract  High masonry walls having buttress  Modeling of walls and numerical calculation methods  Out-of-plane seismic resistanceIn this study the seismic resistance of high masonry walls having buttresses has been investigated by equivalent static analysis method. For this purpose, a numerical model developed for the stability analysis of masonry elements with rectangular cross-section has been utilized. Seismic coefficient versus horizontal displacement curves have been obtained for a reference buttressed wall and for the qibla wall of the Süleymaniye Mosque which has a strong buttress system. The results obtained for the reference wall were also compared with the results of the ABAQUS program. As shown Figure 1 good correlations obtained between the results. Figure 1. c-δ curves obtained by the present work and the ABAQUS program for the reference wallPurpose: Out-of-plane seismic resistance of high masonry walls having rectangular buttresses has been investigated. Theory and Methods:For the calculations, a numerical model based on the discretization of the walls into elements has been used.With the calculation procedure of this model resistance of the walls against seismic forces has been obtained. Results:It has been determined that with respect to seismic resistance, buttressed walls are stronger than plain walls, as expected. Moreover, it has been seen once more that Mimar Sinan who amongst the greatest architects of the world architecture had accomplished not only aesthetics but also resistance requirements in his structures. Conclusion:Performed calculations have shown that buttresses make important contribution to the seismic resistance of masonry walls. Results of the method of presented work and that of the ABAQUS are in good agreement.

show abstract

Limit equilibrium analysis of masonry buttresses and towers under lateral and gravity loads

Cited by 15 publications

References 16 publications

Analytical model for the out‐of‐plane response of vertically spanning unreinforced masonry walls

Analytical model for the out‐of‐plane response of vertically spanning unreinforced masonry walls

Limit Analysis Approach for the Seismic Vulnerability Reduction of Masonry Towers Through Strengthening With Traditional and Innovative Materials

Dikdörtgen payandalı yüksek yığma duvarların düzlem dışı deprem dayanımlarının yaklaşık hesabı

Contact Info

Product

Resources

About