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    Summary

    The earthquake of 27 February in Chile had a great effect on structures all over the

    country and in

    particular in the region of Concepcion. The structure treated in this article is one of

    the pile

    supported wharfs of the fisheries in city of Coronel. The structure consists of a

    walkway, which

    connects the land with a mooring platform. The walkway is divided into two partsby dilatations.

    Unknown is why the wharf was so heavily damaged and what was the main

    cause of the damage. Two cases are considered. Either the wharf was designed to

    sustain an earthquake with an

    acceleration of 0.40g, while the maximum acceleration of the earthquake in

    Coronel was

    approximately 0.65g, or the damage is a consequence of improper design or

    manufacturing.

    Damage to the pierThe damage to the pier manifests itself in a number of ways. The platform adjacent part of the

    walkway shows large

    vertical deformations

    accompanied with

    plastic hinges in-

    between the concrete slab and beams of the superstructure. The land adjacent part

    of the walkway shows large horizontal displacements and the tear out of diagonal

    piles. The mooring platform had very little damage. The emphasis of the analyses

    will be on the platform adjacent part of the walkway.

    Threecommon cases are known, which can cause such damage to the pile supported structure:

    1. An inertia force at the deck of the structure2.Liquefaction

    of the soil

    3. Acombination of the

    two above

    In thecase of

    an

    inertia

    force,

    the earthquake load working on the mass of the structure is the cause

    of the damage. In the case of liquefaction the loss of the stiffness due to the

    increase of effective pile

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    length is the cause. Liquefaction is a significant strength loss in loose saturated

    granular soils as a

    result of the shaking of ground. As saturated soil deposits are sheared rapidly back

    and forth by the

    shaking motion, the water pressure in the pores starts to rise. The soil loses its

    strength and stiffness.

    Hereafter a description is given of the model, which has been developed to analyze

    the failure mode.

    The Lp modelThe walkway is modeled as a rigid floor slab, supported by two beams on piles. All connections

    between slab, beam and pile are rigid. The important part of this case is modeling the soil-pile

    interaction. The so-called Lp-model is used. In the Lp-model, after some depth in the

    soil the position

    of the pile is fixed. This point is the position of the maximum moment in the pile.

    The penetration

    depth into the bearing sand layer, which necessary to reach the fixing point, is

    represented by the

    length Lp. In order to obtain the fixation the total penetration into the bearing sand

    layer should be3Lp. In the case of liquefaction the bearing sand layer is positioned deeper. In case

    the bearing layer

    is too deep to obtain 3Lp, the support may act as a hinge or

    not at all. Lp formula.

    1 E s

    is defined by the following

    Lp= with: = 4 4EI

    EI = flexural rigidity of the pile

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    Es = the soil elastic modulus

    Response spectrum

    The earthquake load can be put in the model using the acceleration response spectrum of the

    structure. Two spectra are considered: the spectrum of the Chilean code Nch2369

    and the actual

    spectrum of the 27 February earthquake. When both spectra are plotted in one

    graph, one of the

    main questions of the research is almost instantly answered. Except for a small

    peak in the lower

    period-range, the design response spectrum of the code is larger than the response

    spectrum of the

    27 February earthquake.

    The Eigen period of the structure in the stiffest case (no liquefaction and fixed supports)

    corresponds with 0.44s.The critical range where the 27 February earthquake

    spectrum exceeds the design spectrum is approximately 0.17s - 0.25s. For caseswhere the structure is less stiff, the Eigen period become larger. Thus can be

    concluded that, despite of the lower maximum acceleration, the design code is well

    fit for this structure.

    Results of the Lp calculation

    The structure can be modeled using the Lp-model with Finite Element software. In

    this analysis the program RAM Advance is used. Using the average of the properties

    of the sand soil layers, the length Lp can be calculated to be approximately 2

    meters. Thus a 6 meter penetration of the piles is

    necessary to obtain fixation. All the piles ought to have a penetration depth of 17meters, but this is not exactly known. Nevertheless without liquefaction of the soil,

    the pile penetration is sufficient.

    A ground research indicates that the top 11 meter of the sand layers are

    susceptible to

    liquefaction. This means that when the whole length of 11 meter truly liquefy,

    exactly 6 meters of

    pile penetration are left to ensure the fixation. However the calculation used to

    determine this

    length is merely a rough representation of the reality, the 6 meters may not be

    sufficient to ensure fixation, and the true penetration depth is unknown.Assuming that fixation of all the piles is ensured, the structure performs pretty

    well both in case with and without liquefaction. Two indicators of performance are

    use for comparison with the capacity of the structure: the maximum moment in

    axial direction in the cross section of the

    superstructure and maximum axial displacement.

    Failure mechanism

    Because the structure performs very well in the model when all the piles are still

    fixed, there must be

    an additional effect. The assumption is made that several piles loose all bearingcapacity and have no

    support, due to liquefaction of the soil. This assumption is supported by the before

    mentioned fact

    that the bearing soil penetration may not be sufficient. Based on the real

    deformations of the

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    structure, other schemes are proposed. By one of them, the outer pile rows and one

    row of the

    diagonal axial piles keep their fixed supports (+ 3 fixed rows), the other piles lose

    their support. Only

    for this scheme the axial maximum moment in the concrete deck exceeds the cross

    section capacity.

    The exceeding of cross section capacity occurs at two places, both above the

    diagonal piles. Here

    plastic hinges are formed. When the deformation of the 3 fixed rows model is

    compared with realdeformation of the structure, the similarities are abundant. With probability close to

    certainty, it can

    be said that this is the failure mechanism, which occurred during the 27 February

    earthquake.

    Due to the loss of bearing capacity of several piles, the structure was unable to

    bear its own

    weight. The contribution of the inertia load on the deck is minor, because in this

    unstable state, the

    Eigen period of the structure is very high. Thus can be concluded that liquefaction of

    the soil is the

    main cause of the occurred damage.

    iv

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    1 Report introduction

    The earthquake of 27 February in Chile has caused damage all over the country and

    in particular in

    the region of Concepcion. Engineering experts from universities, companies and

    from abroad are

    analyzing damaged structures. In this report one of the damaged structures will be

    analyzed. The

    structure in question is the fishing pier of the city of Coronel. The pier was designed

    to sustain an

    earthquake with 0.40g acceleration; the acceleration of the earthquake in coronel

    was approximately

    0.65g. Unknown is why the pier was so heavily damaged and what was the main cause of the

    damage. The high maximum accelerations, significantly higher than the design

    accelerations, could be the reason, but maybe the structure could not resist the

    design acceleration itself. The

    government plans to rebuild the pier using old piles, although no research hasbeen done, whether this is the best way.

    In this report a damage investigation and structural analyses on the pier are performed. The

    objective is to trace the origin of the damage and under which minimum

    conditions the pier would have collapsed.

    Before the structural analyses and the damage investigation there are introductory

    chapters. The

    introductory chapters give background information and structural information, such

    as dimensions

    and design criteria. Chapter 2 gives a area description, the chapter zooms in fromthe country to the

    fishing pier. Chapter 3 explains the basics of subduction earthquakes: the

    earthquakes that emerge in

    Chile. The chapter forms the basis of the up following chapter. That chapter is about

    the Earthquake

    of 27 February. The total picture of the earthquake will be put out. Later in the

    analyses significant

    characteristics of the earthquake will be used. In chapter 5 the structural lay-out of

    the pier is

    discussed. The emphasis is on the part of the structure that will be analyzed in the

    structural

    analyses.

    The damage investigation is described in chapter 6. This chapter consists of two

    parts. The first part is a list of all the damages. The damages are summed up

    supplemented with pictures and comments. In the second part the possible origins

    of the damage are put out. Three standard deformation cases of piers due to

    earthquakes will be treated.

    The actual structural analyses is treated in the last three chapters. Chapter 7 laysout the principles

    and the method of analyses. This mainly concerns the conversion of reality to a

    usable computer

    model. In Chapter 8 all the necessary input parameters of the model are

    determined. This includes

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    soil properties, liquefiable soil layers and response spectra. Chapter 9 is the

    chapter where its all

    about, the structural analyses. First the use of failure indicators is explained. Next

    different models

    are compared with each other and with the real damage. The results of the design

    and the 27

    February earthquake are compared with each other. And the results of the analyses of the two

    walkway parts are viewed in relation with the real damage. The chapter finishes

    with a sketch of the failure mechanism of one of the walkways and some firm

    conclusions.

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    2 Area description from country to fishing pier

    2.1 Description of Chile

    Chile is a peculiar county in the southern part of South-America. With a coastline of

    4630 km Chile is the longest country in the world, in north-south direction. The

    country is bordered by two natural barriers. In the north is the Atacama desert, a

    very dry and uninhabitable desert. And in the east over the full length of the country

    is the Andes mountain range. These two barriers make that Chile is

    dependent on its ports for any large goods to enter.

    The country can be divided in three parts. The

    northern part of Chile which mainly consists of

    the

    desert is thinly populated. The middle part of

    Chile,

    which is the engine of the economy is

    relatively dense

    populated. Over 80 percent of the people live

    in the

    area. The area approximately extends from

    Coquimbo

    to Puerto Mont. The southern part of Chile is

    rather

    cold and just like the north thinly populated.The total

    population of Chile is 17 million people. 5

    million live in

    the capital Santiago.

    The living standard of the people is high in

    comparison

    with other Latin American countries. The

    average

    income per capita is $14.300. In 2010 Chilebecame a

    member of the OECD, which is basically an

    organization of counties with a high income.

    Because of the isolated position, 88% of the

    international commercial exchange is carried

    out via

    maritime transport. The main sea ports of

    Chile are

    San Antonio and Valparaiso. Because of thelong

    coastline, the presence rocky coast and many

    bays, a

    lot of small ports emerged at the coast of Chile

    as well.

    The bays give good sheltering conditions and

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    possibilities for small economic activity such

    as fishing.

    2.2 Description of Coronel Bay

    Coronel Bay is situated 30 km south of

    Concepcin.

    The bay is a part of the Gulf of Arauco, the

    bay south

    of the line Isla Santa Maria - Coronel. Coronel

    Bay is indicated in the highlighted yellow box.

    The bay is well sheltered from waves. The

    northwestern wave heights are reduced by

    the Coronel Land end, the south-

    western waves by Isla Santa Maria, the largeisland.

    Figure 2.1: Map of Chile (Wikipedia)

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    Figure 2.2: Map of the area around Coronel Bay (Google Earth)

    Coronel Bay houses Port Coronel, Cabo Froward and fisheries. Port Coronel is an

    important port in

    the region for the export of wooden products and industrial products. The Port is

    indicated in the red

    highlighted part in figure 3. Cabo Froward is a port with two conveyor belts and is

    mainly used for the

    import of wood chips and coal. It is indicated in the green highlighted part in the

    figure. The fishing

    area is indicated with the blue highlighted box and will be discussed in the next

    paragraph.

    Figure 2.3: Partition of Coronel Harbor (Google Earth)

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    2.3 Description of the Fishing Wharf

    The fisheries are an important part of the coronel industry. The fishery area contains six fishing

    companies. Together the companies used to produce 1.3 million ton fish per year.

    There are up to

    7000 workers active in the industry. Two types of ships are used: big ships with adraught of 2-3

    meters and small ships. The six companies all have their own conveyer: two piers

    and four flexible

    conveyers. For years the Coronel Bay suffers from sedimentation problems inside

    the bay. Because of this extensions of the piers had to be realized. Other companies

    use flexible conveyer belts, so the

    mooring location can be moved.

    The largest fishing pier was heavily damaged by the earthquake of 27 February. The

    investigation andanalyses of the damage of this pier is the subject of this report. The pier in question

    is highlighted

    with a yellow box in figure 3. General information and structural details of the pier

    will be elaborated

    in chapter 5.

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    3 Earthquakes in Chile

    3.1 The emergence of a subduction earthquake

    Earthquakes are the result of movement of land masses on the earth. Due to a

    convection process in

    the core of the earth, different tectonic plates at the surface of the earth move in

    the direction of the

    underlying convection current. In this slow process the plates move in different

    directions. The

    meeting point of two tectonic plates is called a fault line. Plates can move towards

    and from each

    other and they can shear against each other. The first and the last type of

    movement can cause

    major earthquakes. Within a sort of movement there is more than one type ofearthquake. From this

    point I will focus on the type of earthquake present in Chile, the subduction

    earthquake.

    In Chile two plates move towards each other, the Nazca plate and the South-America plate. The

    Nazca plate is an Ocean plate and moves eastwards. The South-America plate is a

    continental plate and moves westwards. At the fault line the Nazca plate sub ducts

    the South-America plate and goes in the depth of the earth. This movement has

    average relative velocity of 80 mm per year, but the largest part of the movement

    is caused by the Nazca plate (see Figure 3.1). Rupture zones extend to a depth of50 km and their lengths could reach over 1000 km. This convergence is responsible

    for strong earthquakes, even the strongest earthquakes we know in the world.

    In the most southern part the situation is different. Here the Antarctic plate is sub

    ducted under

    the South-America plate, this happens at a slower rate. In this region the

    earthquakes are mediocre.

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    Figure 3.1: Tectonic movement of continental plates (Vigney, 2003)

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    In the contact region the convergence is not constant, because of the subduction process. The

    convergence of two plates is determined with two stable points on the plates, for

    example with GPS, with the points on Easter Island and Buenos Aires. The relative

    movement in the contact region is

    close zero for a long time. This process is the offset of an earthquake. The process is

    graphicallyexplained in Figure 3.2.

    While the sub-ducting plate sub ducts the overriding plate, the overriding plate

    sticks to the subducting plate. In this process the plates deforms elastically. The

    elastic deformation continues to accumulate over a time span of years, but at a

    certain time the stress between the two plates

    become too high. The deformation accumulates up to the ignition of the fault and

    the generation of an earthquake. Ultimately the plates are back in their original

    positions; the position of the beginning of a seismic cycle. Dependent on the time

    between two major earthquakes in one area in a fewminutes the overriding plate can move 5 to 10 meters during an earthquake.

    Figure 3.2: The genesis of an earthquake in case of subduction (Terremonto Cauquenes 27 Febrero 2010)

    The intensity of an earthquake is different per

    region. In Figure 3.2 can be seen that the

    earthquake motion for the most part takes

    place in the coastal region. The most effected

    part of the country is located from the coast

    up to 50-100 kilometers inland, approximately

    200 kilometers from the trench. Next to

    scientific knowledge also earthquake records

    confirm the diminishing effect of earthquakes

    inland.

    The Chilean building norm uses three

    distinct earthquake risk zones. Zone 1

    mostly in the Andes, with low risk, and

    zone 3 close to the coast with high

    risk.

    Several design criteria depend on the risk area

    where a structure is built. Criteria such as the

    design acceleration of an earthquake and

    modification design load factors. In figure 6

    the risk zones for middle Chile are shown. The

    majority of the cities are situated in risk area 2

    or 3.

    Figure 3.3: Risk zones used in the Chileanbuilding norms (NCh0433-1996)

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    3.2 The effects on nature and on structures as a result of earthquakes

    The effect on land structures

    An earthquake is a dynamic load on the land and on the buildings atop of the land. A good

    representation is the maximum acceleration in vertical and in horizontal direction. The load is

    temporary, but can cause a lot of damage to structures that are not properlybuilt. Not properly in this case, means: not properly to withstand the earthquake.

    The structure can still agree with national building codes.

    Additional to the risk area, the magnitude of earthquake load on a structure, is dependent on

    more aspects. One aspect is local side effects, such as the properties of the subsoil

    and the thickness of the subsoil layers. Another aspect is the fault orientation. The

    progressive rupture process

    determines the directivity of the ground motion. The orientation of a structure is of

    importance here. In their stiffest direction, structures develop the largest forces.

    The principle of soil liquefactionLiquefaction is a significant strength loss in loose saturated granular soils. It is a

    result of the shaking

    of ground. As saturated soil deposits are sheared rapidly back and forth by the

    shaking motion, the

    water pressure in the pores starts to rise. In loose cohesionless soil, the water

    pressure rises rapidly

    and a level can be reached where the particles float apart and the strength of the

    soil is temporarily

    lost altogether. A possible effect of liquefaction is the occurrence of water sprouts

    and large ground

    movements. After liquefaction the conditions of the soil, such as the density, are

    permanently

    changed. As strength is reduced, deformations can occur due to a driving static

    shear stress such as sloping ground, embankment loads and building loads,

    amongst others.

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    Figure 3.4: The mechanism of liquefaction (PIANC wg34)

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    The particle size and relative density of the granular soils play the key role in the occurrence of

    liquefaction. As the rivers travel from east to west, the slope and therefore the energy for

    transporting particles decrease. The soils close to the Andes are primarily composed

    of gravels. As the rivers approach the coast, smaller particle size are present.

    Excess pore pressures or water

    sprouts arise more readily in finer granular material than in coarser granular

    material, because of the permeability of the material with respect to the rate of

    floating. For this matter liquefaction is more common in coastal regions, especially

    at or near river banks.

    Tsunami waves

    A possible effect of an earthquake is a tsunami. In Figure 3.2 a representation is included of the

    emergence of a tsunami. The sudden horizontal and vertical movement of the land

    is taken over by

    the water in the form of a wave. Tsunami waves can reach heights up to 5 meter in

    coastal areas and

    inundation heights have been measured from up to 30 meters. Total villages have

    been wiped out in

    the past.

    Permanent vertical uplift of the coastline

    In addition to temporary effects, there is also a more permanent effect, the

    displacement of the land. As mentioned earlier the land can move 5 to 10 meters

    in horizontal direction. Also a vertical displacement takes place. The vertical

    displacement can be noticed with easy practical methods at the coast. In figure 7

    you can see vegetation of litho amnion coralline algae. These algae have a red

    color and lose their color when they are not in their natural salt environment. The

    white color is a marker for the natural coastal uplift. In this case there was an uplift

    of 1.1 meter.

    Figure 3.5: Uplift of the coastline visual due to vegetation (Barrientos, April 18, 2010)

    3.3 History of earthquakes in Chile

    No recorded human generation in Chile has escaped the damaging consequences of a large

    earthquake. More than ten events with magnitudes greater then magnitudes 8 on

    the Richter scale have taken place during the 20 th century alone. Since the settling

    of the Spanish in Chile earthquakes have been recorded. Among these, the event of

    1960 is the largest earthquake ever measured, with a magnitude of 9.5.

    The return period for a magnitude 8 event for Chile considered as a whole is 15

    years. The return period for any given region in Chile on itself for a magnitude 8

    event is 80 to 130 years. Mega trust earthquakes like the one of 27 February have a

    much longer return period. The last large earthquake in Concepcion was in 1835, a

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    period of 175 years. Logically large and very large earthquakes are not independent

    events. When the a return period of a magnitude 8 earthquake is long past since

    the last earthquake, a much larger earthquake may be expected.

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    4 The Earthquake of 27 February 2010

    4.1 Properties and effects of the earthquake

    Before the earthquake, Chilean geotechnical scientist indentified the Concepcion

    area as a mature seismic gap, since no large subduction earthquake has occurred

    there since 1835. They noted that the convergence of 75mm/year would have

    accumulated up to more than 10 meter displacement, and predicted a magnitude

    8.5 event should the earthquake happen in the near future. The time of an event is

    unpredictable; however the magnitude if an event would happen can be predicted

    pretty well. In this case as well, the prediction was good.

    On February 27, 2010 the earthquake occurred off the coast of Maule, near

    Concepcion. The epic

    centre was located at the coordinates S36.027, W72.834 at a depth of 35 km

    (see Figure 4.1). The

    earthquake had magnitude of Mw 8.8 in Richter scale and a seismic moment of

    1.8 1022 Nm. The

    main shock occurred at 3.34 am local time and had duration of approximately 2

    minutes. The effects of the earthquake were observed from Valparaiso to Temuco.

    Apart from the immediate

    consequences, the earthquake resulted in a tsunami that affected a significant

    portion of Chile coast. The tsunami has wiped out total villages. Inundation in some

    villages was 6 meters. At cliffs and near coastal islands inundation of over 10 meters

    has been measured.

    Figure 4.1: Intensity radius of the 27 February earthquake (Terremonto Cauquenes 27 Febrero 2010)

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    Maximal ground accelerations

    A network of ground motion station, monitor the ground motion accelerations continuously. The

    outputs the stations give are digital acceleration files and response spectra. From these datathe

    maximum accelerations can be subtracted. In Table 4.1 Table 4.1a number of

    maximum accelerations measured by ground stations are given. Here g is thegravitational acceleration of 10 m/s2

    Accelerations are an important quantity, used in the design codes, to determine the

    forces exerted by an earthquake. Striking is the high vertical acceleration in

    Concepcion. Both in relative a absolute value Concepcion had the highest vertical

    acceleration.

    Table 4.1: Accelerations measured by several Chilean ground motion stations (Terremonto Cauquenes27F)

    Resulting vertical and horizontal displacements

    Due to earthquake the large horizontal and vertical displacement of the land

    occurred. In Figure 4.2

    the deformation of the land is shown. The figure shows maximum uplift at the coast

    of 1.5 to 2 meter

    and subsidence inland. The horizontal deformations have maximum levels of 5 to 6

    meters on the

    coast. These figures however are based on seismic data. From GPS measurements isknown,

    horizontal deformations of 8.5 meters have occurred at the coast near Concepcion.

    For the vertical

    deformation, the model produces are more accurate, based on comparisons with

    measurements.

    These uplift/subsidence are estimated from the upper growth limits of marine

    intertidal organisms,

    as explained in paragraph 3.2.

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    Figure 4.2: Left: the fault slip inverted form seismic data; Right: the coseismic verticaldeformation (color in m) and the horizontal displacement (arrows). {Terremonto Cauquenes27 Febrero 2010}

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    Liquefaction due to the 27 February earthquakeLiquefaction was observed to have occurred over a large area around Coronel. The widespread

    presence of river sediments and the long duration of the event contributed to the number of

    liquefaction observations. Areas of high spatial density soils susceptible to liquefaction, were

    observed to have liquefied. In areas of low spatial density there was intermittent liquefaction of

    susceptible soils. Observations indicate that the central region east of the epicenterexperienced less

    intense ground shaking, which agrees with the lesser amount of damage of

    structures in that region.

    Significant properties for Coronel Bay

    In this paragraph four earthquake properties/effects are discussed. In this research

    ultimately only

    the data of Coronel are of interest, particularly of the pier. Table 4.2 is a summary of

    the

    properties/effects of the earthquake in Coronel. First: The maximum acceleration in

    Coronel is similar

    to the maximum acceleration in Concepcion, 0.65g. Second: The vertical en

    horizontal displacements

    are considerable, however not as large as the displacements north of Coronel. Third:

    Liquefaction

    frequently occurred in the area of Coronel. Coronel is on build on not densely

    stacked river soil.

    Table 4.2: Properties/effects in Coronel of the 27 February earthquake

    distance to epic centre 85km southmaximum acceleration 0.65g North - South

    displacements ver. +1.3m Hor. 5.5m west

    liquefaction frequently occurred

    4.2 Aftershocks of the earthquake

    After the occurrence of an earthquake,

    aftershocks are expected to occur.

    Aftershocks occur mainly in the area that hasbeen fractured and at the ends of the rupture

    zones. The change of activation of a similar

    major earthquake however is negligible.

    Figure 2.2 shows all the (after)shocks with a

    magnitude greater than 4.8. The number of

    earthquakes and the magnitude decrease

    with time. Both seem to decrease

    exponential.

    For a long period after the major event,earthquakes that matter occur. In the

    building and analyses of structures

    this long

    and intense period of aftershocks

    should be

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    accounted for. For example when a

    structure

    is built such that damage is expected

    after a

    major event. The aftershocks could

    hinder

    the repair for a long time.Figure 4.3: Distribution of aftershocks of the earthquake ()

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    5 The Muelle lo Rojas fishing pier

    The Muelle lo Rojas fishing pier is a pile supported pier. The pier is 98m long and has

    a walkway and a mooring platform at the end. The walkway is 4.0 meters wide; the

    mooring platform is 6.0m wide and 14.0m long. The water depth varies from 0meters at the coast to 10 meters at the end of the mooring platform. The average

    penetration length of the piles is 30m. The total length of the piles is the penetration

    length plus the length in and above the water.

    The mooring platform has the most important function of the pier. The platform

    functions both as mooring structure and loading/unloading platform. Mooring is

    possible on both long sides of the

    platform. The mooring defense consists of 3 meter long wooden fenders, connected

    to the platform. Also the platform contains stairs on one side that go all the way

    down to the waterline. Both

    walkway and mooring platform are 4.25m above sea level (N.R.S.). The pier ismainly used by big

    fishing ships with maximum sizes of 20 by 10m and a draft of approximately 3m.

    Pictures of the pier before the earthquake are shown in Figure 5.1.

    Figure 5.1: Photos of the Muelle lo Rojas before the 27 February earthquake

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    5.1 The layout of the structure

    Anticipating on the damage of the pier and the pier analyses beforehand, only the

    dimensions of the walkway will be discussed in this chapter. In the investigation of

    the damage will become clear that the mooring platform only suffered minor

    damage. Further the mooring platform and the walkway are not connected witheach other. Hence the mooring platform is of less interest for the analyses of the

    structure and will not be discussed.

    5.1.1 Dimensions of the structure

    In Annex 1 the original drawings of the fishing pier can be found. On the first page a

    top view and a

    side view are shown. In the top view very nicely the distribution of the piles can be

    seen. Piles are

    placed every 6 meter and at several row on one or on both sides the piles are

    placed diagonal. Thediagonal pile are always in pares. There are two different pares used in the

    structure; pares oriented

    in the axial direction of the walkway and pares oriented in the lateral direction. Two

    cross sections

    are of interest, a standard cross section (c.s. B-B), and a cross section with lateral

    diagonal piles (c.s.

    A-A). Further between row 8 and 9 and between the walkway and the platform,

    next to row 16, are

    expansions joints.

    Piles of the walkway

    The foundation of the structure consists of hollow steel piles. The piles are filled

    with sea sand up to

    the pile cape. The upper 45 mm of the pile is filled with concrete, as part of the pile

    cap connection.

    The profile of the piles is 123/4x61.7: the diameter is 324mm and the wall

    thickness is 8mm. Final

    the piles have different lengths, dependent on the water depth. In Table 5.1 the

    length of the piles

    for each row is shown. The column diagonal length contains the length of only the

    diagonal piles.

    The column vertical length contains the vertical length of both diagonal as

    orthogonal piles.

    Pile profile: 123/4x61.7 (d=324mm / t=8mm)

    Table 5.1: length piles of the walkway

    row pile length vertical pile length Seabed Embedded

    orthogonal length diagonal depth (m) verticalpiles (m) diagonals (m) piles (m) length (m)

    1 33.6 - - -0.00 30.02 34.0 33.0 34.7 -0.42 30.0 / 29.0

    3 35.5 - - -0.85 30.0

    4 - 33.9 35.0 -1.33 29.0

    5 35.4 34.4 35.6 -1.80 30.0 / 29.0

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    6 36.0 - - -2.38 30.0

    7 36.6 35.6 36.8 -2.96 30.0 / 29.0

    8 38.9 - - -5.30 30.0

    9 39.3 - - -5.70 30.0

    10 41.2 40.2 41.7 -7.61 30.0 / 29.0

    11 - 40.8 42.3 -8.16 30.0

    12 42.0 - - -8.44 19.0 / 29.0

    13 - 41.3 42.8 -8.72 29.0

    14 42.6 41.6 43.1 -9.00 30.0 / 29.0

    15 42.9 - - -9.25 30.0

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    Cross section of the walkway

    The upper structure consists of a concrete floor that is supported by two longitudinal concrete

    beams. The floor has a thickness of 200mm and is 4000mm wide. The beams have size h x w =

    450x350mm, and a centre to centre distance of 2500mm. The beams and piles are

    connected with

    pile caps of 90x70x70mm. The top of the pile in the centre of the pile cap. The

    system consisting of

    the three types of elements is poured in one piece. Also the inner part of the steel

    hollow pile at the

    connection is filled with concrete. Further the walkway is supplemented with railing

    and lampposts,

    which have no structural purpose. In Figure 5.2 a cross section is shown with only

    orthogonal piles.

    Figure 5.2: Cross section of the walkway with two orthogonal piles (dimensions in m and cm)

    However the majority of the pile rows have a cross section that deviates, with one

    diagonal pare of piles in lateral direction, or two diagonal pares in the axial

    direction. The piles stand under an angle of 18, with the vertical position. In case of

    the lateral pare, the pile on the outside is connected with the beam. The pile on the

    inside is only connected with the system through the block. The block has a

    different size, in order to make the connection with both diagonal piles able. The

    size of the block here is 90x170x80. In case of the axial pares both pile are

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    connected to the beam. From a structural point of view, the floor height is part of

    the beam and pile cap height.

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    Figure 5.3: Cross section of the walkway with one orthogonal and two diagonal piles (dimensions in m andcm)

    Expansion joints

    In the introduction of this paragraph the presence of two extension joints was

    mentioned. Figure 5.4

    shows such a joint. The dilatation of the joint is 30mm. There are no materials

    connecting the two

    ends together in any way. So structural the dilatation separated parts are

    completely independent.

    Figure 5.4: Detail of a dilatation in the structure (dimensions in cm an mm)

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    5.1.2 Layout of floor and beam reinforcement

    The concrete floor, beams and pile caps all contain reinforcement steel. The

    reinforcement lay-out can be found in on the second page of Annex 1. In this

    paragraph I will lay out the reinforcement of the different elements, with help of

    drawings. However it should be noted that the drawings in this paragraph dont give

    the complete reinforcement lay-out. For the complete set of drawings I refer to thebefore mentioned annexes.

    Floor reinforcement

    The floor is reinforced with a mesh of orthogonal bars in the top and bottom of the floor. In the

    longitudinal direction are 10 bars, c.t.c. 200 or 220mm, see Figure 5.5. There are

    5 additional bars

    16 at the supports. The length of the additional bars is 3.2m for intermediate

    supports and 2.15m

    for end supports. In the transversal direction are 10 bars c.t.c. 200mm. Between

    two top/bottombars is an additional bar that crosses diagonally from top to bottom between the

    beams, see Figure

    5.5, the middle bar. This means that above the beams in the top of the floor the

    bars have a c.t.c. 100mm, and similar for the bottom of the floor between the

    beams.

    Figure 5.5: Transversal cross section of the floor reinforcement (dimensions in m and cm)

    Beam reinforcement

    The beams are reinforced with a reinforcement cage in the transversal direction and bars in the

    longitudinal direction. The cage 10, with has a c.t.c. distance of 250mm in the field and a

    150mmc.t.c. distance above the support. The lay-out of the longitudinal bars is somewhat

    more complicated. I will suffice with the explanation of the two lay-outs of Figure 5.6.

    Over the whole length of the

    beam there are four corner and two intermediate bars. The corner bars in the

    bottom are 18, the four above are 12. An individual bar has a length of 12m, and

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    between bars a weld length of

    500mm exists. In the field are an extra 3 bars in the bottom of the beam 3 22. At

    the support are an extra 6 bars in the top of the beam 6 22. The transfer of forces

    of bottom and top additional bars can be seen well in Annex 1, in the longitudinal

    beam reinforcement figure.

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    Figure 5.6: Transversal cross section of the beam reinforcement: right - at a support; left - in the field (allin mm)

    5.1.3 Structural details and layout of the reinforcement of the pile caps

    The pile caps are reinforced with an reinforcement cage. The cage contains of 20 vertical bars12 @

    11 and 10 horizontal rectangles 12 @10; see Figure 5.8 and

    Figure 5.7. In addition the top of the pile has to the surface welded spiral

    reinforcement. The pile top also has elongated cuttings, which are connected to the

    inside of the pile and reach to the floor. The spiral reinforcement is 10 and thecuttings 4 16. From the reinforcement lay-out of the structural drawings does not

    become clear how the reinforcement of the blocks, beams and floor collaborate in

    the joined structural parts. Supposedly the reinforcements are braid together,

    obeying maximum reinforcement standards for reinforced concrete.

    Figure 5.7: Top view of the pile - block connection reinforcement (dimensions in mm and cm)

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    Figure 5.8: Longitudinal cross section of the pile - block reinforcement (dimensions in cm and mm)

    The connection of the structure with two diagonal piles is off course different. The

    principle of the

    spiral reinforcement, cuttings and the reinforcement cage however, is the same.

    The difference is in

    the amount of bars and the extreme measures of the pile cap. The lay-out can be

    found in Annex 1.

    5.1.4 Properties of the pier materials

    In the structure of the walkway three different materials are used: A36 steel for

    the piles, FeB500 steel for the reinforcement and H20 concrete for the

    superstructure. The properties of these materials presented below, are the

    properties that will be used in the analyses.

    Steel of the piles

    The piles have steel quality ASTM A36, which is an American standard for steel.

    This steel quality close to the European standard S235, but is slightly different.

    fs = 250 N/mm2 yield stress

    ft = 400 N/mm2 ultimate tensile strength

    E = 2.1 105 N/mm2 Youngs modulus

    = 7800 kg/m density

    Reinforcement steel

    The reinforcement quality unfortunately is unknown. Because of this I assume the moststandard

    reinforcement quality FeB 500. FeB is a reinforcement quality used all over the

    world. This quality is used for all bars.

    fs = 435 N/mm2 yield stress

    E = 2.1 105 N/mm2 Youngs modulus

    = 7800 kg/m density

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    Concrete upper structure

    In the upper structure H20 (Hormign 20) is used. H20 is quite similar to the

    European C20/25. The Youngs modulus is calculated using fck. For the density I

    assumed the typical density of concrete, 2400 kg/m, a legitimate assumption for

    normal concrete. The design compressive and tensile

    strength are the characteristic material strength divided by a material factor.

    fcd = 20 N/mm2 design compressive strength

    fcd = 1.15 N/mm2 design tensile strength

    Ec = 21.4 103 N/mm2 Youngs modulus

    = 2400 kg/m density

    5.2 Conditions and properties of the structure and the earthquake

    In order to determine the design response spectrum and the true response

    spectrum, several design need to be known. Within the design conditions are threeimportant subjects, the sort of structure, the area conditions, and the risk area. The

    sort of structure influences the design response spectrum through factors. The area

    conditions contain soil properties. The soil type is also of importance for

    determining the response spectrum. The risk area is discussed before in paragraph

    3.1. Coronel is situated in risk area III. Earthquake load conditions depend on the

    risk area.

    Structural design conditions

    In dynamic analyses two structural properties are of importance; the correction factor I and the

    damping coefficient . The correction factor is a structure type dependent factor.Structures in the Chilean code are subdivided in the three categories, C1 to C3. The

    Muelle de Rojas pier is a category C2 structure. For category C2 structures a factor

    of I=1.0 is taken into account. Further every

    structure has a typical damping coefficient; the Chilean code gives an estimate for

    several structures. For welded steel structures a coefficient is given of = 0.02.

    Structure factor I = 1.0

    Damping coefficient = 0.02

    Further Coronel Bay has minor tidal movements. The difference between the tides isapproximately

    0.5m. Loads due to currents are negligible. The extreme wave height in the bay is measured Hs=

    1.5m with Tp = 13s. However it is not realistic to account for the extreme

    values during the earthquake. The flow and wave loads are not taken into

    account in this analyses.

    Properties of the design earthquake load

    With Chilean code a design earthquake can be determined. This earthquake load is

    determined by a formula containing several parameters. The parameters are lay

    out here.

    Earthquake induced vibrations are modeled with a acceleration. In Chile each

    earthquake risk

    zone has its own acceleration. Coronel lies in risk zone III; for this zone the

    design acceleration is

    0.40g. The other risk zones have lower design acceleration. At this acceleration

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    the structure is supposed to stay fully intact.

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    Figure 5.9: maximum acceleration for seismic design in the Chilean code (NCh2369)

    In the Chilean code, soil is divided in four types. Type I being a solid and hard, e.g.

    gravel. And Type IV

    being soft and flexible, e.g. clay. The soil of Coronel bay and specifically the soil near

    the pier is a

    saturated sandy soil with fine sand and silt; the relative density DR is between 55%

    and 75% and the

    blow count N between 20 and 40 for the larger part of the soil. The soil can beclassified as an Type III soil. Soil properties Dr and N are determined in Chapter 8.1.

    In Table 5.2 two soil dependent

    properties can be found. The definition of these properties is not given by the code.

    Both entities are properties of the response spectrum.

    Table 5.2: Soil dependent properties of the response spectrum in the Chilean code (NCh2369)

    Further in the structural analyses the following modifications factors are used in the

    analyses; R the

    reaction modification factor; and the seismic coefficient Cmax. Factor R is an empirical

    value that takes

    the type of structure into account. It is selected from a list with all types of building

    withcorresponding R-values. Coefficient Cmax determines the maximal spectrum value in

    the design

    acceleration response spectrum. The coefficient is dependent on the damping

    coefficient and the modification factor R. It is selected from a table.

    Table 5.3: The table necessary to determine Cmax

    in the Chilean code (NCh2369)

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    The pier in relation with the earthquake

    Next to properties that apply for the area of Concepcion Bay, there is a property

    that is specific for the pier; namely the orientation of the pier in relation to the fault

    orientation. The horizontal

    acceleration of the earthquake concentrates in one direction. The simplest

    approach to obtain this direction is drawing a line from the epic centre of theearthquake to the place of interest. Parallel to this line is the direction of

    acceleration. This method is physically not correct, but it delivers a good

    approximation of the direction.

    In case of the pier: the fault orientation was in the longitudinal direction. This

    fault direction was, given the orientation of the axial diagonal piles, in the stiffer

    direction of the pier.

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    6 Damage report of the fishing pier

    As a result of the 27th February earthquake the Muelle lo Rojas fishing pier has suffered severe

    damage. In Figure 6.1 and Figure 6.2 you can see some extraordinary displacements both

    horizontaland vertical. Most of the piles are out of their original position and are skewed.

    Because of the large

    displacements the concrete is cracked and burst at critical positions. Striking is the

    difference

    between the damage of the different parts of the structure. As discussed in chapter

    5 the structure is

    split up in three parts through dilatations. The part of the walkway adjacent to the

    land shows large

    horizontal displacements in the axial direction and damage at the pile caps. The

    part of the walkwayadjacent to the platform shows large vertical deformations and damage at so-called

    imposed hinges.

    The mooring platform however has very little damage and no significant

    deformations. For this

    reason the platform will not be reviewed. Further should be noticed that no part of

    the structure

    displaced in the horizontal in the transversal direction, despite heavy accelerations

    in this direction.

    The damages of the walkway will be discussed in the remainder of this chapter.

    First all the

    damages will be summed up in a list of damages. Second the plausible origin of the

    different parts is

    discussed and compared to each other.

    Figure 6.1: Side view of both parts of the walkway

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    Figure 6.2: Front view of the walkway, photo taken from the platform

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    6.1 The list of damages

    The walkway is damaged with seven different sorts of damages. Most of the

    damages are related to each other or a direct result of one another. I include

    extraordinary displacements under the name damages; it has a large effect on the

    serviceability limit state of the walkway. All the damages will be illustrated withphotos and shortly discussed. Below is the list of damages.

    1. Uneven extraordinary vertical displacement2. Bursting of the floor and beams3. Yielding of floor reinforcement4. Extraordinary axial horizontal displacement5. Bursting of pile caps6. Tear out of piles7. Fracture of the pile cap reinforcement

    1. Uneven extraordinary vertical displacement

    The platform adjacent part of the walkway shows large and uneven vertical

    displacement. Near the platform the walkway has risen and at the other side, the

    walkway has come down. As a result of the displacement two plastic hinges have

    been formed. The formation of the hinges is associated with heavy damage to the

    floor and the beams. The piles dont seem to resist the movement and displace

    accordingly. Because of this, the pile caps are intact in this area.

    Figure 6.3: Extraordinary vertical displacement

    2. Crushing of the floor and beams

    In the plastic hinges a large angular rotation took place. The rotation is approximately 25. The

    rotation is far too large for the concrete, hence large cracks appeared over the full

    width of the hinge and large chunks of concrete burst of the deck. At some parts the

    whole reinforcement cover came off, see Figure 6.4. In the beams the concrete burst

    due to crushing. Also here large cracks and spall off of the concrete can be seen,

    see Figure 6.3. The continuity of the structure at the hinge is only and fully

    preserved by the reinforcement.

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    3. Yielding of floor reinforcement

    Together with the bursting of the concrete, the floor reinforcement deformed. The

    deformation made the rotation possible. In order to deform the steel yielded. The

    deformations are plastic and irreversible. Probably the beam reinforcement

    yielded as well.

    Figure 6.4: Exposure of the reinforcement, due to complete spall off of concrete

    4. Extraordinary axial horizontal displacement

    The first three damage topics all occurred solely in the platform adjacent walkway.

    At the walkway part adjacent to the land other damages occurred. To begin with, in

    this part mainly extraordinary horizontal displacements occurred, the vertical

    displacement is of lesser magnitude, see Figure 6.1. For the most part the horizontal

    displacement is accompanied by a large rotation of the piles. The rotation is similar

    to the vertical displacement of the other part of the walkway. Only here the hinges

    are formed between the piles caps and the piles.

    5. Crushing of connection blocks

    An indirect result of the rotation between piles and the pile caps is the cracking and bursting of

    concrete. Because of the imposed force by the pile, the internal stress in the concrete becametoo

    large. At some places the whole cover of the reinforcement came off. Logically spall

    off mainly occurs at the corners of the pile caps, see Figure 6.5.

    Figure 6.5: Spall off of the connection block concrete cover

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    6. Tear out of piles

    However not all piles displaced along with the superstructure, some piles are

    totally tore out of the connection blocks, see Figure 6.6. This happened with three

    piles. All three piles have the same property, all are the inner pile of a lateral

    diagonal pile pare, see Figure 5.3.

    In Figure 5.3 you can see, that the inner diagonal pile is not in line with the beam

    above. The pile has a free end connected only with the concrete of the elongated

    pile cap. This weaker type of

    connection is probably the cause that the piles tore out.

    7. Fracture of the block reinforcement

    Together with the tearing of the piles, the reinforcement of the connection block

    deformed heavily

    and broke. In this stat the reinforcement does not perform it task in any way. In

    Figure 6.6 and Figure

    6.7 examples are shown.

    Figure 6.6: Tear out of a diagonal inner pile

    Figure 6.7: Tear out of another diagonal inner pile

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    6.2 Description of three possible origins of the damage to the pier

    From the preceding paragraph we can conclude that all damages to the structure are a direct or

    indirect result of the large horizontal and vertical displacement. In order to find the

    origin of the pier

    damage, we should find the origin of the structural displacements. Out of theliterature of piers and

    pile supported wharfs, three cases are known to cause large deformations in case of

    earthquake

    load: deformation due to an inertia force at the deck itself; deformation due to an

    horizontal force

    from an anchoring construction and deformation due to liquefaction. All three cases

    will be

    discussed, with emphasis on the probability, that the mechanism in question is the

    actual cause.

    Deformation due to inertia force at the deck

    The most obvious origin of permanent deformation and damage is an inertia force

    at the deck. Every

    object with foundation and mass gets deformed under earthquake load; the

    question of importance

    is whether the deformation is elastic of plastic. Figure 6.8 gives a graphical

    representation of this

    type of deformation to a similar type of structure, namely a pile-supported wharf.

    The image

    corresponds with the extraordinary axial horizontal displacements (damage type 5)

    of the land

    adjacent part of the walkway. The piles follow the large horizontal displacement of

    the deck and

    plastic hinges are formed at the fixation point in the soil. At the pile cap connection

    with the

    superstructure a hinge is formed as well, accompanied with severe damage.

    It is possible that also at the platform adjacent part this type of mechanism is the

    cause of the damage. But this type of deformation does not explain the large

    vertical displacement of thewalkway. Deformation due to inertia force at the deck will be considered in the

    analyses for both

    walkway parts.

    Figure 6.8: Side view of the deformation of a pile supported wharf due to inertia force on the deck (PIANCwg34)

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    Deformation due to horizontal force from the anchoring construction

    Due the horizontal force of an anchoring construction, pile supported constructions

    can be damaged.

    The mooring platform and the land part of the pier can be classified as anchoring

    construction of the

    walkway. But these construction parts did not cause the deformation for two

    reasons. Firstly the

    mooring platform and the land part of the pier did not have great deformations.

    Secondly thewalkway and the anchoring constructions are not structurally connected. The

    deformation should

    have been passed on by structure to structure contact. This could explain little

    deformation of the

    walkway, but given the minor weight of the platform and the land pier-part, this

    cannot be the cause

    of the large deformations.

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    Deformation as a indirect result of liquefaction

    Liquefaction has the result that the fixing point of the foundation will be lower in the

    soil. The free

    length of the piles becomes larger and the piles are possibly not enough stiffanymore to prevent

    buckling. When the whole soil liquefies unto the end of the pile, the pile support

    even can be

    modeled as a hinge or a role. In this case the foundation of the structure is clearly

    the weakest part.

    The structure or a part of it may displace as a whole, leaving the superstructure

    intact. In fact this is

    what we see at platform adjacent part of the walkway. Three parts have displaced

    as a whole.

    Between the parts hinges are formed. The parts itself, regarding the superstructure,

    stayed intact.

    It is possible that at the land adjacent part of the walkway liquefaction occurred.

    However it cannot

    be the only source of the deformation and damage at this part. At this part three

    piles were torn out

    of the connection blocks. The tearing out requires great force, and the result of

    liquefaction is mainly

    force introduced by displacement.

    Figure 6.9: side view of the deformation of a pile supported wharf due to liquefaction (PIANC wg34)

    To conclude over the whole walkway probably two mechanisms caused large

    deformations and

    damage; an inertia force at the deck and liquefaction of the soil. For the land

    adjacent part of the

    walkway the emphasis is on the inertia force and for the platform adjacent part

    the emphasis is on

    liquefaction.

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