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The Masterbuilder | March 2015 | www.masterbuilder.co.in 182 Structural Retrofit of Heritage Building Using Seismic Isolation Abstract: Historic and heritage buildings present a unique class of structures and pose unique challenges to structural engineers. These buildings form the cultural pillar and identity of the communities and thus require preservation. However, given their vintage, and the design and construction proce- dures that existed then, these buildings have sustained severe damage and collapse in recent earthquakes, including in Italy (2009), Haiti (2010) and New Zealand (2011). The rich Indian heritage is posed with the same risks and the state- of-the-art design procedures presented herein can be used in a cost effective manner to retrofit the vulnerable heritage icons. The main vertical and lateral load bearing members for these buildings are typically comprised of unreinforced masonry walls. These walls have experienced both in-plane and out-of-plane failures leading to the collapse of the structures. Given that the walls have little lateral capacity, it is critical to limit the input forces acting on them. In addition, these structures do not have a well-defined load path or dia- phragm for seismic loading. A proposed mitigation strategy combining seismic isolation and superstructure intervention is discussed to address these deficiencies. Advanced nonlin- ear global and local finite element analysis is used to assess the efficiency of the proposed retrofit. The proposed method significantly reduces the level of seismic excitation acting on the existing walls and limits the superstructure retrofit, and thus preserves the historical features of the structures. Ap- plication of this technique to Miragoane Cathedrals in Haiti is presented. Building description Saint John Baptist Cathedral of Miragoane (hereafter referred to as the Cathedral) was originally constructed in 1880 and is one of the oldest Cathedrals in Miragoane— a coastal town approximately 80 km west of Port-au-Prince, the capital of Haiti. Figure 1 shows a photograph of the building looking east. The building has an area of approximately 580 m2 and is nearly rectangular shape. The building is constructed us- ing concrete floors with an unreinforced masonry and stone walls over stone masonry foundations. There is a ground floor, and a mezzanine with access to the upper tower that houses the bell. The roof structure is assembled with truss- es that combine both wood and steel and is approximately 13.9 m tall at its peak. The roof is supported by the walls on the exterior and by uniformly placed columns along the inte- rior. The front entrance of the cathedral has a bell tower that stands approximately 30.5 m high. The tower is constructed with steel frames above the walls. There is a concrete mez- zanine that sits about 7m above the finished floor of the ca- thedral. The walls along the perimeter vary from 500 mm to 750 mm in thickness and are the primary gravity and lateral load resisting members. H. Kit Miyamoto,PhD 1,2 , Amir S.J. Gilani,PhD 1 , Devis Sonda,PhD 1 , Akira Wada,PhD 2 , Sandeep Donald Shah 1 1 Miyamoto International, Inc., California (USA), 2 Tokyo Institute of Technology Figure 1. Photograph of the Cathedral, looking east Front elevation Figure 2 presents an elevation and plan view of the build- ing. The elevations at which are referred to in this paper are identified in the figure. REPAIR & REHAB

Structural Retrofit of Heritage Building Using Seismic … Masterbuilder March 2015 182 Structural Retrofit of Heritage Building Using Seismic Isolation Abstract: Historic and heritage

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Structural Retrofit of Heritage BuildingUsing Seismic Isolation

Abstract: Historic and heritage buildings present a unique class of structures and pose unique challenges to structural engineers. These buildings form the cultural pillar and identity of the communities and thus require preservation. However, given their vintage, and the design and construction proce-dures that existed then, these buildings have sustained severe damage and collapse in recent earthquakes, including in Italy (2009), Haiti (2010) and New Zealand (2011). The rich Indian heritage is posed with the same risks and the state-of-the-art design procedures presented herein can be used in a cost effective manner to retrofit the vulnerable heritage icons. The main vertical and lateral load bearing members for these buildings are typically comprised of unreinforced masonry walls. These walls have experienced both in-plane and out-of-plane failures leading to the collapse of the structures. Given that the walls have little lateral capacity, it is critical to limit the input forces acting on them. In addition, these structures do not have a well-defined load path or dia-phragm for seismic loading. A proposed mitigation strategy combining seismic isolation and superstructure intervention is discussed to address these deficiencies. Advanced nonlin-ear global and local finite element analysis is used to assess the efficiency of the proposed retrofit. The proposed method significantly reduces the level of seismic excitation acting on the existing walls and limits the superstructure retrofit, and thus preserves the historical features of the structures. Ap-plication of this technique to Miragoane Cathedrals in Haiti is presented.

Building description

Saint John Baptist Cathedral of Miragoane (hereafter referred to as the Cathedral) was originally constructed in 1880 and is one of the oldest Cathedrals in Miragoane— a coastal town approximately 80 km west of Port-au-Prince, the capital of Haiti. Figure 1 shows a photograph of the building looking east.

The building has an area of approximately 580 m2 and is nearly rectangular shape. The building is constructed us-ing concrete floors with an unreinforced masonry and stone walls over stone masonry foundations. There is a ground floor, and a mezzanine with access to the upper tower that houses the bell. The roof structure is assembled with truss-es that combine both wood and steel and is approximately

13.9 m tall at its peak. The roof is supported by the walls on the exterior and by uniformly placed columns along the inte-rior. The front entrance of the cathedral has a bell tower that stands approximately 30.5 m high. The tower is constructed with steel frames above the walls. There is a concrete mez-zanine that sits about 7m above the finished floor of the ca-thedral. The walls along the perimeter vary from 500 mm to 750 mm in thickness and are the primary gravity and lateral load resisting members.

H. Kit Miyamoto,PhD1,2, Amir S.J. Gilani,PhD1, Devis Sonda,PhD1, Akira Wada,PhD2, Sandeep Donald Shah1 1Miyamoto International, Inc., California (USA), 2Tokyo Institute of Technology

Figure 1. Photograph of the Cathedral, looking east

Front elevation

Figure 2 presents an elevation and plan view of the build-ing. The elevations at which are referred to in this paper are identified in the figure.

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Past earthquake performance

The Cathedral suffered minor damage, primarily minor cracking during the 2010 Haiti Earthquake. The damage to the building was minor because it was not located near the epicenter of the 2010 earthquake

Seismic retrofit methodology

Overview

ASCE/SEI 41 (2006) served as the principal document used for retrofit evaluation. To achieve the design objectives and parameters, it is proposed to seismically isolate the building. This retrofit option was selected because it pro-vides reliable seismic performance, while preserving the historical features of this cultural heritage building and min-imizing retrofit of the superstructure.

For historical or essential facilities, base isolation provides an attractive retrofit option (De Luca, et al 2000). Using this option, alterations of the superstructure is significantly re-duced or eliminated. Instead, the structure is de-coupled at the foundation level, since isolators are installed beneath the existing columns or walls. In the past two decades, many buildings in the United States, New Zealand, Japan, and Eu-rope have used this technique.

Base isolation relies on the concepts of structural dy-namics to modify the response of the building and reduce the seismic demands on the structural and nonstructural mem-bers. For isolated structures, the structural period is shift-ed away from the high-energy portion of the typical ground motions because the isolation plane is considerably softer than the superstructure, the drift ratios above isolators is reduced. The isolation system also introduces effective sup-plementary damping to the structures since the force-defor-mation relation is nonlinear.

There are two basic isolation systems: elastomeric rub-ber (either high-damping rubber or lead-core), and metallic sliding surfaces (flat or pendulum sliders).

Design objectives and performance goals

The design objective for seismic strengthening of Ca-thedral was to provide global and local performances that exceeded the requirements of ASCE/SEI 41-06 (ASCE 2006). The enhanced global performance targets at design earth-quake (DE) and maximum considered earthquake (MCE) are:

- DE (475 year): Performance of between immediate occu-pancy (IO) and life safety (LS)

- MCE (2475 year): Performance of between LS and col-lapse prevention (CP)

The current common seismic retrofit practice (ASCE 2006) targets are to obtain LS and CP for DE and MCE, respective-ly. Locally, accelerations and drift ratios were reduced to lev-el below the values initiating the in-plane and out-of-plane failure of vulnerable URSM walls. In addition, the displace-ment of the isolation system was monitored to ensure that it does not exceed the capacity of the system.

Seismic hazard

The design spectrum for the extreme event (or maxi-mum considered earthquake, MCE) is defined by the Inter-national Building Code (IBC 2006) as the probabilistic event with a return period of 2475 years (or 2% probability of ex-ceedance in 50-years). The seismic hazard coefficients for the site were obtained from the USGS (USGS 2012) are: short period spectral acceleration (SS) of 1.62g and a 1-sec spec-tral acceleration (S1) of 0.6g. These values are consisted with recently published reports (Hernandez 2012).

The geotechnical report (Insoflor 2012) wrote that the Cathedral was built on limestone rock with an allowable bearing pressure of 1 MPa. The site condition was classified as soil class C using the data from the 2012 log of boring data. Thus the design response spectrum for the Cathedral can be constructed using short period (SDS) and 1 sec (SD1) spectral accelerations of 1.08g and 0.52g, respectively. The MCE spectrum ordinates were 1.5 times the design spec-trum.

The analysis of the Cathedral was based on the nonlinear response history analysis. Records from three stations re-corded from large earthquakes (Landers, Northridge, and Loma Prieta) in the United States deemed to be representa-tive for the site, were selected. Next, the records were syn-thesized such that their response spectra closely matched the target spectrum for the site. The target (solid line) and re-sponse spectra from the synthesized records (dashed lines) are shown in Figure 3.

For analysis, the model was subjected to the pairs of re-cords at design and MCE levels. The records were applied in 0 and 90-degree orientations. No vertical component of

Plan view

Figure 3. Target and matched spectra, DE

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acceleration was applied. The responses were then selected as the envelope of the maxima of responses obtained from analysis.

Seismic retrofit

The seismic retrofit program consisted of providing an isolation system to reduce the demand on the building and to provide a robust load path for the transfer of seismic forces and to avoid rigid motion of the walls.

Seismic isolation system

For the Cathedral seismic retrofit, the state-of-the-art triple pendulum (TP) (EPS 2012) isolation system was select-ed. The TP pendulum system is an adaptive self-centring sys-tem that provides isolation at functional, design, and max-imum earthquakes (approximately 100, 500, and 2500 year return periods) by successive sliding of concave inner and outer surfaces. In addition, for very large earthquakes, the system designs restraints overly large deformation. Finally, due to its adaptive sliding surfaces, the footprint of the TP bearing is one-half of single-stage concave sliders.

For the Cathedral, the isolation system parameters were chosen to obtain an approximate effective period of 4 sec. and equivalent supplementary damping of 30% at MCE. Given, the large shift in period, and additional damping, it is expected that only minor retrofit of the URSM walls would be required.

The isolation plane is selected to occur just below the ground level of the building. The isolators will consist of a combination of 54 TP bearing. The geometric arrangement of the isolators has been selected to preserve the current load path in the URSM walls to avoid introducing additional concentrated loads to these vulnerable components (Figure 4). To install the isolators, the existing walls will be reinforced either side by permanent shoring beams, above and below the isolation plane. Next, a wall section will be removed and isolators installed. Finally, the remaining wall is cut in order to complete the isolation plane; see Figure 4.

Structural load path intervention

The building in its existing configuration lacks a well-de-fined load path for seismic forces. For example, the existing floors are not designed or detailed to serve as diaphragms and they do not have adequate connection to the perimeter walls to transfer lateral forces to these vertical members. In the absence of such load path, the vulnerable unreinforced walls will act as cantilevers, (unsupported at the top) and are susceptible to out-of-plane failure. In the past earthquakes including the 2011 Christchurch Earthquake (Gilani and Mi-yamoto 2011), this was a common observed failure mode of many older and historic unreinforced masonry buildings.

For the seismic isolation system to be effective, this type of failure need to be precluded, as such, it is important to connect structural elements and provide a robust path for the transfer of seismic forces. In the United States, this type of failure is mitigated and the seismic load path is developed by addition of either wood or concrete diaphragms to the existing buildings. Since such approach was not feasible in Haiti, the strengthening was provided by a series of steel rods

Isolator placement

Plan distributionFigure 4. Typical detail of isolation plane

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and beams (channels and angles) serve to connect the wall elements and provide horizontal bracing (diaphragm) and vertical bracing. The horizontal bracing prevent out of plane mechanisms and connect the internal columns to the exter-nal walls. Such approach has been used extensively in Eu-rope and especially in Italy and Greece (Pezzullo et al 1992) for retrofit of historic buildings.

Figure 5 presents the plan view (at elevations 7.2 and 9.2 m) and elevation view (longitudinal and transverse direc-tions) of the Cathedral showing the added steel members. As shown in the figures steel members are added:

- Horizontal tie-down steel rods are added to the building to connect the perimeter walls in both directions

- System of steel truss works is added to provide diaphragm action in plane and vertical bracing

- Bracing is added to reinforce the tower and to connect this

segment to the rest of the Cathedral- Vertical tie-down rods are added to reinforce the walls at

tower base and to improve its flexural capacity.- Steel longitudinal reinforcement is added to the tower

walls

Plan view

Transverse elevationFigure 5. Typical structural intervention details

Longitudinal elevation

Structural capacity of the walls

Material properties of URSM walls

The Cathedral’s unreinforced stone masonry (URSM) walls are the load bearing elements resisting the applied vertical and lateral load applied to the building. Figure 6 de-picts exposed sections of the walls with the wall plaster re-moved for investigation. The composition of the wall is that of unreinforced masonry with irregular-shaped stones or with rectangular-shaped stones and debris placed in the mortar The capacity of the URSM wall elements were computed by three methods:

- Using the available data and procedures for historic buildings from published references: used for out-of-plane analysis and for pushover in-plane analysis

- Recommended values in ASCE/SEI 41 (ASCE 2006): used for code design check for in-plane behaviour using linear procedure

- In-situ testing: conducted during construction for verifi-cation

The nominal strength of the URSM walls was based on the provisions of the Italian seismic code for unreinforced walls (MPW 2008). The code provides average tabulated values for different types of masonry. The tabulated average values

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were developed based on the material data available from the large pool of historical buildings in Italy. The URSM walls have the lowest mechanical properties, whose values are listed in Table 1. For evaluation, the lowerbound values reduced by a safety factor, listed in the table were used to determine the capacity of the walls

Strength of URSM walls

The addition of the tie rods and steel members increase the capacity of the existing walls. This effect was accounted for in calculation of the in-plane and out-of-plane strength of these walls. Linear (code-based) and nonlinear (static pushover) analyses methods can be used to determine the in-plane strength of the walls. The equilibrium kinematic ap-proach (see for example Varela-Rivera et al 2011) was used to determine the out-of-plane capacity of the walls.

Out-of-plane capacity of walls

The wall failure in the original configuration will be com-prised of the rigid motion (rocking) of the wall about its base; see Figure 7. This kinematic condition is possible since the top of the wall is not attached to a diaphragm. The lateral load (acceleration) required to initiate failure is resisted by the vertical load acting on the wall.

Once the steel members are added, the diaphragm action excludes this mode of failure. Instead, the failure mechanism will include formation of a hinge along the height of the wall (see Figure 7). A larger lateral force (acceleration) will be required to initiate this higher mode failure. In addition, the tie-down rods provide additional resistance to overturning and thus serve to increase the lateral load required to ini-tiate out-of-plane failure of walls (Ismail and Ingham, 2012).

The key parameter for development of the out-of-plane strength is the lateral acceleration at the base of the wall and perpendicular to its plane that initiates failure. This is because, the seismic load is considered as static force (wall mass times spectral acceleration at the base of the wall), and acceleration is assumed to be constant along the height of the wall (ao). The computed capacities are further adjusted by two factors:

Irregular-shaped stones placed in the mortar

Rectangular-shaped stone and debris embedded in mortar Figure 6. Typical composition of exposed unreinforced masonry stone walls

Table 1. Average nominal properties for URSM

Existing

Propertyfm o E G w

MPa kPa GPa GPa (kN/m3)

Lowerbound 1.0 20 0.69 0.2319

Upperbound 1.8 32 1.05 0.35

Where

- fm = average compression strength- o=averageshearstrength- E = average (uncracked) elastic modulus - G = average (uncracked) shear modulus - w = average unit weight

The on-site strength of the URSM walls will be measured during the construction phase using the flat jack method (Simões et al 2012).

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- Knowledge factor to account for uncertainties in material properties, construction details, and geometric charac-teristics.

- Behaviour factor q to account that the limited ductility of the walls and constraint by adjacent elements to provide restraint to the out-of-plane rotation of the wall segment under consideration.

At the time of analysis, no field test data was available, a factor of 0.75 (1/1.35) was used as prescribed in the Italian

seismic code (MPW 2008). Similarly, the Italian code recom-mends using a value of 2.0 for q when a simplified linear pro-cedure is utilized.

Equilibrium kinematic analyses of various walls of the Cathedral were conducted. The analyses accounted for the dimensions (height and thickness) of the wall, the vertical force acting on it, and the vertical tie-down restraining forc-es. Table 2 summarizes the findings. The highlighted values are the modified strength values.

Thus as shown in the table, the critical lateral accelerations are 0.25g at the ground level and 0.52g at the roof. As long as the isolated buildings acceleration demands at these two levels are less than the governing values, out-of-plane fail-ure will not occur.

In-plane capacity of Bell tower

The walls at the perimeter of the bell tower (see Figure 8) are strengthened by adding eight (8) #5 (16 mm) reinforcement on each side. Holes will be drilled the height of the wall and ver-tical (longitudinal) reinforcement will be grouted in the holes. The reinforcement will be hooked at the base into the founda-tion to ensure that the reinforcing bars are developed and thus the full moment capacity of the walls can be achieved. Cross-sectional analysis was conducted to develop the axi-al force-bending moment interaction diagram for the walls using the average lowebound material properties of Table 3. Figure 8 shows the interaction diagram for one of the walls in the transverse direction on the exterior. The capacity of the bell tower walls was determined using static pushover analysis using plastic hinges whose properties were obtained from interaction analysis and program 3Muri (S.T.A. Data 2012). Both flexural and shear failure modes were accounted for in the nonlinear analysis.

Shown in Figure 8 is the state of tower bell structure at its limit state. In this figure:

- Green denote wall segments that remain elastic- Pink corresponds to flexural yielding- Red designates flexural failure- Ivory indicates shear yielding - Light blue represents traction failure

Note that no shear failure was developed and limit state is reached when walls reach their ductile flexural capacity. The failure state was reached at a base spectral acceleration of 0.11g. This value is not modified because nonlinear analysis was used.

The progression of the nonlinear response in the bell tower is listed in Table 3

StrengthenedFigure 7. Out-of-plane failure modes for a typical wall segment

Table 2. Computed out-of-plane capacity of Cathedral walls

Table 3. Progression of nonlinear response in the bell tower

Axial force-bending moment interaction

Wall seg-ment

Wall Base(Elev.)

Failure direction

Capacity, g

Comput-ed (ao)

Modified (qk ao)

Typ. between windows

Ground (0.6 m)

Outward 0.62 0.92

Inward 0.27 0.39

Transept end wall

Outward 0.21 0.31

Inward 0.17 0.25

Central walls - 0.30 0.44

ApseOutward 1.68 2.49

Inward 0.55 0.82

Upper ma-sonry above

windows

Mezz.(6.6 m) - 1.66 2.46

Upper tran-sept end wall Roof

(9.9 m)

Outward 0.98 1.45

Bell towerInward 0.49 0.73

- 0.35 0.52

State Base, acceleration, g

Flexural yielding at the base of the walls 0.04

Shear yielding 0.05

Flexural failure 0.11

limit state 0.11

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In-plane capacity of main Cathedral walls

The capacity of the Cathedral’s walls was determined using static pushover analysis. Both flexural and shear fail-ure modes were investigated in the nonlinear analysis.

The observation of damages on existing structures has led to the definition of masonry as a macro-element that cap-tures the shear behavior in its central part and the buckling behavior in the outlying areas.

The kinematic model used is described by eight degrees of freedom: the six components of displacement of the end nodes and the two components of the macro-element.

The overturning mechanism of the panel, caused by the absence of a significant tensile strength of the material, is represented assuming elastic contact in interfaces, while the mechanism of shear failure is schematized considering a state of uniform tension in the central module.

Maximum deformations (drift) acceptable for the panels are settled to define the collapse mechanism, due to the mechanisms of shear and bending.

Shown in Figure 9 is the state of the main structure at its limit state.

Note that no shear failure was developed and limit state is reached when walls reach their ductile flexural capacity. The failure state was reached at a base spectral acceleration of

0.12g. This value is not modified because nonlinear analysis was used.

The progression of the nonlinear response in the bell tower is listed in Table 4

Table 4. Progression of nonlinear response in the main Cathedral

Mathematical model

Mathematical model

Figure 8. Bell tower, typical interaction diaphragm, and failure mode

Figure 9. Main Cathedral, mathematical model, and failure mode

Figure 10. Analytical model of the building

Pushover results

Pushover results

State Base, acceleration, g

Flexural yielding at the base of the walls 0.04

Shear yielding 0.05

Shear failure 0.09

Flexural failure 0.10

limit state 0.12

Analytical model

General model properties

A three-dimensional analytical model of the building was prepared using the program ETABS (CSI 2012); see Figure 10. The isolation system and new steel members are high-lighted for clarity. The total inertial mass of the structure is estimated at 2,800 Mg. The individual isolators were mod-el as bilinear link elements using the friction and curvature properties provided by the TP bearing manufacturer.

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Analysis resultsDrift requirements

Table 5 presents the computed story drift ratios above the isolation plane refer to Figure 2 for the location and el-evations (m) of the stories listed in the table. The maximum story drift ratios are 0.42% and 0.49% ate the DE and MCE levels, respectively.

For unreinforced masonry non-infill walls, ASCE 41 (ASCE 2006) has the following limitations on drift ratios:

- IO: Transient or permanent value 0f 0.3%- LS: Transient or permanent value 0f 0.6%- CP: Transient or permanent value 0f 1.0%

Therefore, for the retrofitted structure, at both DE and MCE levels, performance of between IO and LS are obtained; see Figure 11 and thus the enhanced performance criteria are satisfied for drift response.

Wall in-plane response demand: code procedure

The code procedure (ASCE 2006) for evaluation of unre-inforced masonry walls includes consideration for shear and rocking (flexure) modes of response. For the Cathedral, for most of the walls the rocking mode governs due to the piers height to length ratios. Table 6 presents the design checks for the critical wall along the Cathedral perimeter in the lon-

gitudinal direction. Shown in the table are the dimensions (thickness, height, and length), axial load (PD computed from analysis), rocking (Vr) and shear capacity (Vs), and lateral load demand (Vp computed from analysis) for various segments constituting this wall. Both the shear and rocking capacity exceed the demand on the wall.

StoryDE MCE

X- Y- X- Y-

TOWER ROOF7 0.11% 0.05% 0.12% 0.06%

TOWER FLR6 0.10% 0.06% 0.11% 0.07%

HIGH ROOF5-1 0.09% 0.10% 0.10% 0.10%

HIGH ROOF5 0.30% 0.20% 0.34% 0.25%

ROOF4 0.14% 0.20% 0.17% 0.27%

ROOF3 0.16% 0.24% 0.19% 0.31%

MEZZA-NINE2 0.24% 0.26% 0.29% 0.30%

LOW ROOF1 0.20% 0.42% 0.25% 0.49%

Table 5. Computed story drift ratios

Table 6. Demand capacity check for perimeter longitudinal wall

Table 7. Out-of-plane accelerations at wall base

Figure 11. Story drift ratios (DE) and performance limits

Table 8. Computed floor displacements (mm)

Pier t. mm

D, m

H, m

PDkN D/H k*Vr

kNk*VskN

VpkN

1 750 1.3 4.2 240 0.31 50 110 50

2 750 2.0 3.1 370 0.64 160 170 100

3 750 1.8 3.1 340 0.59 130 150 90

4 750 1.8 4.2 320 0.41 90 150 60

5 750 1.8 4.2 320 0.41 90 150 60

6 750 1.7 3.1 310 0.54 110 140 80

7 750 1.7 3.1 320 0.55 120 140 80

8 750 1.1 4.2 200 0.25 30 90 40

Sum 780 1100 560

Avg, kPa 80 110 60

Level Capacity, gDemand, g

DE MCE

Ground slab (0.6 m) 0.25 0.08 0.11

Roof 3 (9.9 m) 0.52 0.10 0.13

StoryDE MCE

X- Y- X- Y-

TOWER FLR6 250 261 408 418

HIGH ROOF5 250 260 408 416

MEZZANINE2 250 258 408 414

GROUND SLAB 247 248 405 400

Out-of-plane accelerations

The out-of-plane accelerations at the ground slab and roof are listed in Table 7. The first column shows the capacity values computed from kinematic analysis. Columns 2 and 3 of the table show the computed demand at DE and MCE intensities.

The computed demands at both DE and MCE are less than the capacity. In other words, no out-of-plane failure is anticipated even at the MCE after the placement of strength-ening measures (increasing the capacity) and the seismic isolation system (reducing the demand)

Displacement response

Table 8 presents the computed displacements of the story centre of mass for selected floors; refer to Figure 2 for the location and elevations (m) of the stories listed in the table.

Story drifts at floors above the isolation plane are signifi-cantly less than the motion of the isolators and thus result-

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Figure 12. Distribution of story shear along building height

Figure 13. Computed lateral accelerations above and below isolation plane, DE, X direction

Figure 15. Bi-directional response of a typical isolator

Figure 14. Typical isolator response

are the nominal bi-linear backbone curve of the isolator ob-tained from the manufacturer data. It is seen that the loading and unloading response closely track the nominal response. Figure 15 presents the bi-direction MCE displacement re-sponse of a typical isolator. Also shown in the figure is the displacement limit (500 mm) as specified by the manufactur-er. As seen, the isolator MCE displacements in any direction are less than its allowed maximum motion.

Summary

Table 9 summarizes the computed response of the ret-rofitted Cathedral and the limiting response values. It is not-ed that the retrofitted Cathedral meets its design goals for both DE and MCE levels.

Conclusions

The Miragoane Cathedral is constructed of nonductile URSM walls and does not meet the current code requirements for seismic performance. The structure is being retrofitted with an isolation system and strengthening measures to im-prove its load path and the out-of-plane capacity of the walls.

- Analysis showed that the retrofit including the addition of the isolation system will significantly reduce the story drifts, accelerations, and shear.

- Steel tie-downs significantly increase the out-of-plane capacity of the walls. Truss assemblage of steel members provided a reliable load path for seismic forces. Added reinforcing steel increased the flexural capacity of the tower bell walls.

- The isolation retrofit will significantly reduce the demand (drift and acceleration) on the URSM walls and the unre-duced demand on the walls was reduced below member capacities

Project Schedule

The design and review process has been completed and

ing in small deformations in walls above the isolation plane.

Story shear

Figure 12 presents the distribution of shear force (nor-malized with respect to the building seismic mass) along the height of the structure. The effective base shear for this building is approximately 12%g at the DE intensity. The addi-tion of the isolation system has served to significantly reduce the demand on the structure. This can be further seen in Fig-ure 13 showing that maximum total acceleration of 0.5g is reduced to 0.18g as it travels (and thus filtered) through the isolation plane.

Response of the isolation system

Figure 14 presents the force-deformation response of a typical isolator from a MCE analysis. Also shown in the figure

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construction is scheduled to begin in Fall 2013. Material (flat jack) testing of the URSM walls will be conducted at the time of construction.

References

- ACI 318-08, Building Code Requirements for Structural Concrete, American Concrete Institute, Farmington Hills, MI.

- ASCE/SEI 41-06 (2006), Seismic Rehabilitation of Existing Buildings, American Society of Civil Engineers, Reston, VA.

- American Institute of Steel Construction (AISC) (2008). Specification for Structural Steel Buildings, ANSI/AISC 360-05, AISC, Chicago, IL.

- CSI (2012), ETABS: Linear and nonlinear static and dynamic analy-sis and design of building systems, Computers and Structures, Inc., Berkeley, CA.

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