Transactions on the Built Environment vol 26, © 1997 WIT Press, www.witpress.com, ISSN 1743-3509 The behaviour of the monuments of Seville under the action of earthquakes J.L. Justo, A. Jaramillo & P. Gentil Abstract Seville has suffered, along its history, important earthquakes that have damaged its monuments. The working-out of models of these monuments by the finite element method, and the probabilistic estimate of the accelerogram, allow us to estimate the damage, and to compare it with the harm indicated in the chronicles. We can modify the design accelerogram so as to approach the estimated and reported damage, and, in this way, improve the estimate of this accelerogram. This will allow to foresee the harm produced by future earthquakes, and will permit the design of adequate strengthening. Three monuments from the XII till the XV Century have been discretized; each of them has suffered many well documented earthquakes. The finite element program SAP 90 has been used, and the contours of maxima tensile, compression and shear stresses have been studied. Also tests on the materials have been earned out, and conclusions about the appearance of damage have been reached. 1 Introduction Seville has suffered, along its history, important earthquakes that have hit its monuments. A study of their effects has a double interest: on one hand the comparison of the damage produced by different tremors to a same monument may help in the evaluation of the Intensity of each of them; on the other hand, the modeling of the monument by the finite element method (FEM) and the estimate of the design accelerogram allow the calculation of the harm and the comparison with the damage described in the chronicles. Modifying the design accelerogram we can approach the calculated and described damage, and so improve the design earthquake. This will allow the prediction of the damage produced by future earthquakes to our monument and the design of adequate strengthening. We shall review the damage produced by several important quakes to three very important monuments: the Giralda, the Golden Tower and the Cathedral. Transactions on the Built Environment vol 26, © 1997 WIT Press, www.witpress.com, ISSN 1743-3509 458 Structural Studies, Repairs and Maintenance of Historical Buildings 2 The quakes We shall review the effect of the following quakes: - The earthquake of August the 24th 1356. It is the oldest well documented tremor of the Iberian peninsula. Its Magnitude may be similar to that in the Lisbon earthquake (1755), and it has been studied by Justo and Gentil [1] who have published an isoseismal map. The Intensity (MSK) in Seville was VIII. - The earthquake of the 24th April 1431. - The Carmona earthquake (5 April 1504). Gentil and Justo [2] have published an isoseismal map. The Intensity in Seville was VIII. - The Malaga earthquake (9 October 1680). The Intensity in Seville was VI-VII - The Lisbon earthquake (1st of November 1755). Figure 1 compares the isoseismals of this earthquake and those of the event of 28/2/69. - The tremor that took place the 20th October 1883. 28-02-1969 TANG I EFN?G'BR ALTAR Figure 1: Overlapping of the isoseismal maps corresponding to the earthquakes of the 1st November 1755 (Lisbon) ans 28th February 1969 (Elmrabet et al. [3]). Transactions on the Built Environment vol 26, © 1997 WIT Press, www.witpress.com, ISSN 1743-3509 Structural Studies, Repairs and Maintenance of Historical Buildings 459 - The Andalucian earthquake of 25 December 1884. The Intensity in Seville was V to VI (Gentil [4]). - The earthquake of 28 February 1969 (fig. 1). The Intensity in Seville was VI (Gentil [4]). 3 Damage to the monuments Only three monuments of Seville will be reviewed here: 1 The Giralda was constructed in brick and stone as the minaret of the main mosque of Seville, and was ended in 1198 as indicated in the left hand side of figure 2. An inside ramp allows the ascent to the top of the tower. The golden balls at the upper part of the tower fell down during the earthquake that occurred in 1356, when Seville was already under the Christians. The tower was provisionaly repaired as indicated at the right hand side, and after the restoration of Hernan Ruiz acquired the aspect indicated at the centre, when it reached a height of 93,93 m including the upper bronze figure. a) b) Figure 2: States of the Giralda at different times: a) At the end of construction (1198) as observatory and alminar b) After the restoration of Hernan Ruiz (1568) and the latter of 1890. c) After the restoration subsequent to the fall of the balls produced by the earthquake of 1356. Transactions on the Built Environment vol 26, © 1997 WIT Press, www.witpress.com, ISSN 1743-3509 460 Structural Studies, Repairs and Maintenance of Historical Buildings 2. The Golden Tower (figure 3) was constructed in 1221 with only the two lower bodies and incorporated into the wall of defence of Seville. It is another outstanding example of the Almohade architecture. The third and upper body was added in 1760 with the restoration that followed the Lisbon earthquake. The height is, at present, 36.75 m One pillar of the upper tower has fallen and another is tumbling. The upper and lower vaults are broken and loosened. The walls are also broken from the soil up to the upper tower. Figure 3: The Golden Tower today, showing damage produced by the Lisbon earthquake. 3. After the conquest of Seville by the Christians in 1248 the main mosque was converted into a cathedral. In 1434 the state of the old mosque was so bad (owing in part to the earthquake of 1356) that it was decided to build a new cathedral. The construction took one century. It is the larger gothic cathedral and the third larger church in the world (after St. Peter in Rome and St. Paul in London). We are going to review now the damage produced by different earthquakes to these three monuments. Transactions on the Built Environment vol 26, © 1997 WIT Press, www.witpress.com, ISSN 1743-3509 Structural Studies, Repairs and Maintenance of Historical Buildings 461 3.1. The Giralda The balls that topped the tower were joined by a central iron shaft, fixed to the upper part of it, weighting according to different accounts from 575 up to 1725 kg (Jimenez [5]). The shaft resisted the drive of the wind during one century and a half, which indicates that it was properly built. This stem was cut off by the earthquake that occurred in 1356, and the balls fell down. The chronicle of Archbishop Don Rodrigo [6] indicates that "the tower nearly fell". Galvez [7] refers to the earthquake that occurred in 1504 in the following terms: "The tower moved so strongly from side to side that the bells rang up to five or more times, and the four corners of the tower split; and some people say that an Angel was seen embracing the tower to avoid its fall". This account was written between the 21st June and the 26th July 1504, about three months after the earthquake, and the fantastic description about the Angel might reflect the awe produced by the earthquake. Before the Lisbon earthquake, the aspect of the tower was as indicated in figure Ib. There are two detailed accounts of the state of the tower after the earthquake [4,5]. Thefirstis written the 3rd of November, two days after the earthquake, and the main conclusions are collected in figure 4. When the report was written, the main shock and the former five aftershocks had occurred. The second report has the date of 15 December, when all the aftershocks had occurred. It coincides with the former account but is much more detailed and explains the damage (the pillars had fallen or were leaning) and repair of the last but one body. The tower is a structure type B according to the M.S.K. scale. During the 1356 earthquake there was fall of free-standing elements (type 3 damage). In the 1504 earthquake large bells rang and cracks in the walls appeared (type 3 damage). The Intensity, in both cases, might range from VII to VIII. Finally the Lisbon earthquake produced cracks in the walls and loss of links between different parts of the construction; this joined to what we know about the destructive effects of the earthquake in the rest of Seville (Gentil [4]) gives clearly Intensity VIII. The Andalucia earthquake of 1884 produced some damage [4] and the event of 28/2/69 produced the fall one of the bronze white lilies (fig. 2 and 4). This is class 1 damage. 3.2. The Golden Tower We do notfindany account on damage to the tower up to the Lisbon earthquake Notwithstanding in the report made in 1757 about the damage produced by this event it is indicated that "several repairs have been made in the past to the low and high vaults... and the tower is hooped and tied". In September 1757, the tower is visited jointly by three Master builders. However they do not agree in their conclusions and present two different reports. One Master builder describes the harm shown in figure 3, that he ascribes to both, the "weakness of its foundation" and the new cause due to the earthquake. He recommended the demolition of the tower, owing to its state and also adducing urbanistic reasons. Fortunately the two other Master builders maintained that this Transactions on the Built Environment vol 26, © 1997 WIT Press, www.witpress.com, ISSN 1743-3509 462 Structural Studies, Repairs and Maintenance of Historical Buildings outstanding monument could be repaired. The structure is type B, the harm described corresponds to class 3 of the M.S.K. scale, and the Intensity assigned is VIII. During the 28/2/69 earthquake, the small dome that tops the tower was displaced from its base (I = VI). Some tilting Little damage The la£>tL_but one body next to ruin white lily NO DAMAGE The four main arches of the bellfry and the masonry vaults that cover them are next to ruin the four facades, from the first row of balconies till the bellfry have split, so that the inside ramp is, in several parts, next to ruin Figure 4: Section of the Giralda showing the conclusions of the report of the 3rd of November 1755. 3.3. The Cathedral Gentil [4] describes the damage produced by the earthquakes of 1481 and 1504 to the cathedral that was, then, under construction. During this last quake, the building suffered severe harm, and cracked in many parts. Two years later, the 10th of October 1506 the dome (figure 5) was ended, and the church was finished in May 1507. As the quake had lessened the stability of some pillars, the dome fell the 28th December 1511, wrecking the vaults of the transept and the choir (figure 5). In a report made in 1513 on the effects of the earthquake it is proposed to repair the affected pillars, specially pillar PI (figure 5). The damage produced by the Lisbon earthquake has been described, in detail by Gentil [4]: damage in the diagonal arches, in front of the Chalices Chapel and Saint Christopher gate (figure 5), in both cases broken and loosened stones; Transactions on the Built Environment vol 26, © 1997 WIT Press, www.witpress.com, ISSN 1743-3509 Structural Studies, Repairs and Maintenance of Historical Buildings 463 pyramids and balustrades from the terrace have fallen on the vaults, which exhibit harm in the transept, in the choir entrance and elsewhere. The balustrade of the terrace of the attached church of El Sagrario is partly ruined. Figure 5: Plan of the cathedral. D = dome T = transept C = choir CH = Chalices chapel S = church of El Sagrario SC = Saint Christopher gate The structure is type B. The damage may be class 4 for the 1504 earthquake and class 3 for the Lisbon earthquake, and the Intensity VIII in both cases. 4 Aplications of the finite element method The dynamic FEM SAP90 has been used. The former calculations have been made assuming plane stress with the Giralda, Golden Tower and Cathedral. The EW component of the acceleration register in Lisbon of the earthquake that occurred the 28th February 1969 has been used as input. As indicated in figure 1 this earthquake was quite similar to the Lisbon event, although with much less Transactions on the Built Environment vol 26, © 1997 WIT Press, www.witpress.com, ISSN 1743-3509 464 Structural Studies, Repairs and Maintenance of Historical Buildings Magnitude. Unfortunately we have no register in Seville. A factor of 5.7 was applied to the accelerogram to arrive to the accelerogram that would correspond to Intensity VIII according to our preliminary seismic risk studies. Figure 6 shows the simplified discretization of Giralda, some openings have been eliminated, and so as to take this into account the modulus of Elasticity of the corresponding elements was consequently decreased. Figure 7 shows the discretization of the Golden Tower; it has been simplified establishing a symmetry which actually is not complete (compare with figure 3). Finally figure 8 shows the discretization of the cathedral. Figure 6: Discretization of the Giralda. Respect to the Giralda, two dynamic studies have been carried out. one conside ring the tower fixed to the ground surface, and the second discretizing also a block of foundation under the tower (figure 9). In this second case the displacements are larger and the stresses smaller. A modulus of 3.158 MPa has been measured. The following outputs have been obtained in the three monuments: maximum displacement, contours of major and minor main stresses, horizontal and vertical normal stress and shear stress. Table 1 collects the main results. The maxima compressions are always allowable. The results are encouraging, but there is still much work to be done. We have made three-dimensional calculations of Giralda and Golden Tower, that will be Transactions on the Built Environment vol 26, © 1997 WIT Press, www.witpress.com, ISSN 1743-3509 Structural Studies, Repairs and Maintenance of Historical Buildings presented in a fothcoming paper. Figure 7: Discretization of the Golden Tower Figure 8: Discretization of the Cathedral Table 1: Main outputs (maxima) Monument Horizontal displacement Tensile stress Shear stress mm kPa kPa Giralda Golden Tower Cathedral a = allowable 423 13 15 2340 (e) 206 (a) 693 (e) e = excesive 1030 (e) 124 (a) 674 (e) 465 Transactions on the Built Environment vol 26, © 1997 WIT Press, www.witpress.com, ISSN 1743-3509 466 Structural Studies, Repairs and Maintenance of Historical Buildings Figure 9: Vibration of the Giralda assuming a deformable block of foundation References 1. Justo, J.L. & Gentil, P. El terremoto peninsular del 24 de agosto de 1356. Ingenieria Civil, 1990, 74, 34-40. 2. Gentil, P & Justo, J.L. Terremoto de Carmona de 1504, Sismicidad Historica de la Peninsula Iberica, pp. 9-16, Asociacion Espanola de Ingenieria Sismica, Madrid, 1983. 3. Elmrabet, T , Levret, A., Ramdani, M & Tadili, B Historical seismicity in Morocco: Methodological aspects and cases of multidisciplinary evaluation, Seismicity, Seismotectonics and Seismic Risk of the Ibero-Maghrevian Region, pp. 115-129, Instituto Geografico Nacional, Madrid, 1991. 4. Gentil, P. El Riesgo Sismico de Sevilla, Servicio de Publicaciones de la Universidad de Sevilla, 1989. 5. Jimenez, A & Cabeza, J.M*. Turns Fortissima, Colegio Oficial de Aparejadores, Sevilla, 1988. 6. Cronica del arzobispo don Rodrigo, continuada desde 1242 a 1395. Biblioteca Colombina, Sevilla. 7. Ortiz de Zuniga, D. Anales Eclesidsticos y Seculares de la mny Noble... Ciudadde Sevilla, 5 vol., Madrid, 1975.
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