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Page 1: Strategies to prevent structural collapse due to natural ...nilanjan/CE20100_Lecture_2.pdf · Therefore it stabilizes the concrete diaphragm. Note that for a 4-inch thick concrete

Strategies to prevent structural collapse due to natural hazards

Nilanjan Mitra

[email protected]

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A DAMPER is a device that deadens, restrains, or depresses.

IN STRUCTURES:

A device mounted in structures to prevent discomfort, damage or structural failure by vibration

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Structural damping is critical parameter for all structures that are or may be subjected to dynamic loading.

Structural dampers are implemented in buildings to deal with the dynamic excitation.

Dampers are efficient in the sense that they dampen the energy input due to dynamic loading through various mechanisms.

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The energy gained due to dynamic loading is dissipated through the various mechanism as heat or as deformation i.e elastic strain energy.

There are many types of dampers such as the frictional dampers, metallic dampers, viscoelastic dampers, Tuned Mass Dampers, Tuned Liquid Dampers.

A recent development has lead to damping by magnetic induction.

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EARTHQUAKES

MECHANICAL HUMAN SOURCES such as operation of Heavy Machinery

WIND

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The seismic waves caused by an earthquake will make buildings sway and oscillate in various ways depending on the frequency and direction of ground motion, and the height and construction of the building. Seismic activity can cause excessive

oscillations of the building which may lead to structural failure.

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oMasses of people walking up and down stairs at once, or great numbers of people stomping in unison, can cause serious problems in large structures like stadiums if those structures lack damping measures.

o Vibration caused by heavy industrial machinery, generators and diesel engines can also pose problems to structural integrity, especially if mounted on a steel structure or floor.

o Large ocean going vessels may employ tuned mass dampers to isolate the vessel from its engine vibration.

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The force of wind against tall buildings can cause the top of skyscrapers to move more than a metre.

This motion can be in the form of swaying or twisting, and can cause the upper floors of such buildings to move

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The first ever building to use the STRUCTURAL DAMPERS

Philippines

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Dampers

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Damping using frictional dampers is considered to be the most effective and economic solution for seismic upgrade

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In late seventies , frictional dampers were developed inspired with the principle of friction brakes in automobiles.

Nowadays , several frictional dampers are being used. They are available for tension cross bracing, single diagonal bracing and for chevron bracing.

They consist of series of steel plates specially treated to develop most reliable friction. The platesare clamped together withhigh strength steel bolts.

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During severe seismic excitations, friction dampers slip at a predetermined optimum load before yielding occurs in other structural members and dissipate a major portion of the seismic energy. This allows the building to remain elastic or at least yielding is delayed to be available during maximum credible earthquakes.

Another feature of friction damped buildings is that their natural period varies with the amplitude of vibration. Hence the phenomenon of resonance is avoided.

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Simple and foolproof in construction. Friction dampers possess large rectangular

hysteresis loops, with negligible fade over several cycles of reversals. For a given force and displacement in a damper, the energy dissipation of friction damper is the largest compared to other damping devices.

The maximum force in a friction damper is pre-defined and remains the same for any future ground motion. Therefore, the design of bracing and connections is simple and economical. There is nothing to yield and damage, or leak. Thus, they do not need regular inspection, maintenance, repair or replacement before and after the earthquake.

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Dampers

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Metallic damper is a popular(and inexpensive) choice for an energy dissipation devicebecause of its relatively high elastic stiffness, good ductility and its high potential for dissipating energy in the post-yield region.

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Single round hole metallic damper and double X shaped metallic damper are commonly used.

SINGLE ROUND HOLE DAMPER

BEFORE DEFORMING AFTER DEFORMING

DOUBLE X SHAPED DAMPER

BEFORE DEFORMING AFTER DEFORMING

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X-SHAPED METALLIC PLATE DAMPER:IT is used where two braces meet. One type, the X-

shaped Plate Damper, is used where two braces meet. As the building vibrates, the braces stretch and compress, pulling and pushing the damper sideways and making it deform. They are designed to deform so much when the building vibrates during an earthquake that they cannot return to their original shape. This permanent deformation is called inelastic deformation, and it uses some of the earthquake energy which goes into building.

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These are inexpensive.No complicated technology is required to

manufacture them.They can easily be integrated in structures ,they

show stable behavior in earthquakes. No environment factors (like temperature,

humidity etc.) affect their performance.These dampers increase stiffness of structures

in addition to increasing energy dissipation capacity in them. After earthquakes, these dampers can easily be replaced for strengthening structure for future earthquakes.

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Dampers

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The typical viscoelastic damper consists of viscoelastic layers bonded with steel plates or solid thermoplastic rubber sheets sandwicthed between steel plates . The viscoelastic solid materials are used

as a means to dissipate energy in viscoelastic dampers. The viscoelastic materials generally used are co-polymers or glassy substances .

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The energy is dissipated through shear deformation of the viscoelastic layers . Its behaviour depends upon vibration frequency , strain levels and temperature. While in active state , the relative motion

between central and outer plates gives rise to shear deformations in the viscoelastic fluid between these interfaces and consequently the energy is dissipated leading to seismic response mitigation.

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A VISCOELASTIC DAMPER.

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The force generated in the viscoelastic damper comprises of two components : elastic force and damping force.

1. The elastic force is proportional to the relative displacement between the connected floors of a building in which it is used .

2. The damping force is essentially proportional to the relative velocity of the piston head with respect to the damper casing .

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The properties of a viscoelastic material are usually described in terms of its storage modulus , G’ , loss modulus , G’’ , and loss factor Nv .

In general , they depend on the loading frequency and environmental temperature .

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Force and deformation of a viscoelastic damper is out of phase by phase angle α.

When carrying out dynamic analyses using commonly used linear analysis , the resulting force-deformation relationship of the VE damper is linear without any phase lag and its peak force value is less than the maximum damper force .

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Viscoelastic (VE) dampers are dependent on both relative velocity and displacement to dissipate energy.

VE damping system in Twin Towers is a double-layer shear damper using a 3M material, which is a rubber derivative, glued to steel plate and angle irons.

This material will carry some load (which is temperature-dependent and would be less than the two-bolt connection as shown) as it displaces.

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It develops continuity moment at the end of joist girder, that is, the joist girders will behave as partial continuous members under Dead and Live load. It is partially restrained under Wind load.

It restrained the lower chord of the joist girder (in the direction perpendicular to the plane of the joist). Therefore it stabilizes the concrete diaphragm. Note that for a 4-inch thick concrete slab spanning 60 feet, it would buckle if there were no joist girder. It also transfers compression load through bottom chord.

It reduces the energy to be absorbed by the joist girder and the columns under Wind load

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Typical construction of World Trade Centre Damper

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WTC Damper

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A viscoelastic damper which is adapted to control the vibration of a structural member, a tank, a pipe, etc. which may be caused by an earthquake or wind while producing minimum reaction force when the structural member and so on is slowly displaced as a result of the thermal deformation of the member itself or another member connected thereto .

Such a property of a viscoelastic damper can be obtained by using dilatant liquid which presents relatively small resistance when the speed of the motion is small and produces progressively great resistance as the speed of the motion increases

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To the end of enhancing this favourable property of the viscoelastic damper, the shoulder surfaces that are exposed to the dilatant liquid are rounded.

By providing a spiral groove or projection in the member exposed to the dilatant liquid to produce rotational motionbetween the two ends ofthe damper, this propertyis enhanced even more.

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Dampers

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In traditional structural dampers the energy from oscillations due to dynamic loading is converted to heat energy.

But in these magnetic induction dampers the energy from dynamic loading is dissipated through electrical energy.

So the harvested electrical energy can be used for other applications such as giving energy to other active damping devices.

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The magnetic induction dampers are composed of a permanent magnet and a coil.

The relative velocity between the coil and the magnet produces a current in the coil resulting in a force which acts as the damping force to the oscillations due to dynamic loading.

The relative velocity can be obtained from the inter story velocity of the building subjected to dynamic loading.

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Tuned Mass DampersTuned Liquid DampersTuned Liquid Column Dampers

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It is a passive damping system.

Utilizes a secondary mass attached to a main structure through spring and dashpot.

Secondary mass system has a natural frequency closed to the primary structure which depends on its mass and stiffness.

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The excess energy that is built up in the structure can be transferred to a secondary mass and is dissipated by the TMD.

By specifying the mass ratio of the secondary mass to the primary body, the optimum frequency ratio between the two masses and the optimum damping ratio of the secondary mass can be obtained.

This secondary mass can be made of any material such as concrete or steel, while damping is generally provided by viscous damping devices.

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• During an earthquake, TMD will move against the direction of main structural vibration and an inertia force will be acted on the structure to reduce the response of the structure.

• One TMD can attenuate only the first mode response of a structure with its frequency tuned to the fundamental frequency of the structure.

• First several modes of a high rise structure are primary and the anticipated response reduction cannot be achieved if only the first mode is controlled.

• Li and Wang presented the method of using multiple TMDs to control multiple modes of structures and got obvious results of vibration reduction.

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It is also known as “Taipei 101 Tower”.

Its height is 508 meterswhich is the tallest building in the world

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The mass of TMD pendulum type is 660 tons

The mass of two TMDs Pinnacle type weighs 4.5 tons each which was installed in 2002.

Furthermore, the passive TMD systems were installed in many structures such as Bloomberg Tower in New York, Gran Canyon Skywalk in Arizona, USA and Shenzhen Bridge in Hong Kong, China.

TMD Pendulum type

Pinnacle TMD

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A dynamic vibration absorber proposed for existing water tanks on the building in particular. TLD utilizes the motion of shallow liquid in

a partially filled container to dissipate the vibration energy. The configuration of the TLDs is also

designed to have a frequency close to the fundamental frequency of the structures. The frequency of the liquid is determined

by their length and depth of the liquid.

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When the TLDs are excited, the liquid inside sloshes and energy is dissipated from the viscous action and wave-breaking.

If the frequency of the sloshing motion is properly tuned to the natural frequency of a dominant mode of vibration of the structure, the sloshing motion imparts an inertia force that acts against the structural vibration. This effect leads to a reduction in the structural response, and, consequently an increase in the effective damping of the structure.

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To increase the energy dissipation of the sloshing liquid, the flow-damping devices such as screens or posts in the container are required.

Different shapes of container, such as rectangular or circular can be used as TLD implementations.

Note: Unlike a circular type, a rectangular type has two different frequencies in two orthogonal directions.

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TLD when properly tuned tonatural frequency of structureis more effective in controllingthe vibration.

The damping effect of TLD issharply decreases with

mistuning of TLD. TLD is more effective when

it is placed at the top storey of the structure.

Circular Type TLD

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The TLD’s configuration of multi-layer stack of 9 circular (2 m dia.) fiber reinforced plastic containers, each 0.22 m high, was installed in 1991.

It was found that the RMS accelerations in each direction were reduced 50% - 70% by the TLD at wind speeds over 20 m/s .

Furthermore, TLDs system was implemented on other structures such as Gold Tower in Kagawa, Narita Airport Tower in Narita, Japan.

Shin Yokohama Prince Hotel

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TLCD are special type of TLD.Used for controlling vibration of structure

under various dynamic loading.

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Tuned Liquid Column Dampers (TLCDs), dissipates structural vibration by combined action involving the motion of the liquid mass in the tube.where the restoring force is due to the

gravity acting upon the liquid and the damping effect as a result of loss of hydraulic pressure due to the orifice (s) installed inside the container

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Comprised of two vertical columns of liquid connected by a horizontal crossover duct of the same width, enclosed in a custom U-shaped tank.

A variation of these with a cross-over duct different in width is denoted as a liquid column vibration absorber (LCVA).

Cross-sections of One Wall Centre

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The U-shaped tank is configured to have the natural frequency that optimally matches one or more of the structure’s natural frequencies.

Its natural frequency of the tank is determined by its “effective length” and this is related to the geometry of the tank and particularly to the ratio of the cross-section areas of the vertical columns and the cross-over duct.

Damping is depended on the opening ratio of the orifice inside the TLCDs tank.

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TLCDs are relatively are easy to install in new and existing buildings, because they can take any arbitrary shape. They do not interfere with the vertical and

horizontal load paths, as other passive device do.Its easy to adjust there frequencies and

they can be combined with active control mechanism.

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Do not require large space for stroke length.

The water in the tank can be used for fire fighting.

Set up cost as well as maintenance cost is comparatively low

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• A wide elliptical footprint with a 7:1 slenderness ratio.

• Two Tuned Liquid Column Dampers were installed to control wind-induced vibrations.

• Each TLCD contains 230 tons of water tuned to the proper frequencies.

One Wall Centre

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Contains the largest TLCD in the world. Its height is 297

meters of 57 floors. The TLCD water

mass is 1,300 tons.

Comcast Center

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Dampers

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MR damper is one of the most promising new devices MR dampers uses MR fluids to

produce a controllable damping forceMR damper is developed from MR

fluid for reason that this microscopic shift can macroscopically induce great changes in the damping force of the MR damper.

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Application of MR dampers in controlling structural vibration is done by two method:

ANFIS METHOD. NEURAL-NETWORK BASED CONTROL METHOD

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Now-a-days there is an increasing trends to construct tall structures, to minimize the increasing space problems in urban areas.

These structures are often made relatively light & comparatively flexible, possessing quite low damping, thus making the structure more vibration prone.

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Besides increasing various failure possibilities, these are also creating problem from service point of view, due to cladding and partition problem.

So to ensure functional performance of tall buildings, it is important to keep the frequency of vibrational motion level below threshold.

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Various methods are there to overcome these problems like Aero dynamic design, structural design, Auxiliary damping device.

But recently it is found that use of dampers is the best to overcome this problem.

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BASE ISOLATION TECHNIQUES

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Haiti Earthquake Jan 12,2010

Magnitude : 7.0Loss : 222,570 people killed 300,000 injured1.3 million displaced97,294 houses destroyed188,383 houses damaged in the Port-au-Prince area and in much of southern Haiti.

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BHUJ EARTHQUAKE, JAN 26,2001•Magnitude : 7.6 •Total Economic Loss : $5.5 billion•Killed more than 20,000 people•Injured another 167,000•Destroyed near a million homes•Destroyed around 90% of the homes in Bhuj, eight schools, and flattened the two hospitals.•The quake destroyed 75% of Kutch District, and over 80% of usable food and water supplies.

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Historical Techniques

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ADVANTAGES OF BASE ISOLATION Reduced floor Acceleration and Inter-storey

Drift Less (or no) Damage to Structural Members Better Protection of Secondary Systems Prediction of Response is more Reliable and

Economical.

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Fixed Base Building1.Ground Forces are amplified by a factor of 3 to 4 at the roof

Base-Isolated Building1. Forces reduced by 3

to 6 across the isolators and by 8 to 12 at the roof.

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BEARINGS AS BASE ISOLATORS In the search for a mechanism that can

overcome the difficulty of a flexible first storey, many types of roller bearing system have been proposed.

However, as the earthquake movement can be in any direction, these type of roller bearing system did not become popular; as a result, it is necessary to use spherical bearings or two crossed layers of rollers.

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USE OF RUBBER BEARINGS Rubber was first used for earthquake

protection in 1969 in a school building in Skopje, Yugoslavia.

The weight of the building caused the rubber to bulge sideways. However, because the rubber is of the same stiffness in all directions, the building bounces and rocks backwards and forwards.

Later, these bearings were reinforced with steel plates to overcome the above difficulties.

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MODERN ISOLATION DEVICES The modern base-isolated structures are

supported by horizontally flexible (but vertically rigid) bearings interposed between the base of the structure and its foundation.

During earthquakes, the conventional structure without seismic isolation is subjected to substantial story-drifts, which may lead to damage or even collapse of the building, whereas the isolated structure vibrates almost like a rigid body with large deformations or displacements endured by the isolation bearings.

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Types of Bearings

Spring-like isolation bearings

or Elastomeric Bearings

Lead Rubber Bearings

High Damping Rubber

Bearings

Sliding –Type Bearings

Friction Pendulum Systems

Page 81: Strategies to prevent structural collapse due to natural ...nilanjan/CE20100_Lecture_2.pdf · Therefore it stabilizes the concrete diaphragm. Note that for a 4-inch thick concrete
Page 82: Strategies to prevent structural collapse due to natural ...nilanjan/CE20100_Lecture_2.pdf · Therefore it stabilizes the concrete diaphragm. Note that for a 4-inch thick concrete

Lead Rubber Bearing

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High Damping Rubber Bearing

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SLIDING BEARINGS

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FRICTION PENDULUM SYSTEM Uses geometry and gravity to achieve the desired seismic isolation. Made up of two horizontal steel plates that slide over each other. Designed to be stiff and strong for the vertical load. The structure supported b y the FPS responds to earthquake motions with small amplitude pendulum motion. The friction damping absorbs the earthquake's energy.

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A Friction Pendulum System

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USE OF RUBBER BEARINGS

Recent developments in rubber technology have made the idea of base isolation a practical reality. Rubber bearings are now used almost everywhere as thermal expansion bearings for bridges, replacing mechanical roller or rocker bearings, which are attacked by salt, have a tendency to lock-up, and are known to perform badly in earthquakes.

The rubber bearings which now replace them are inexpensive, durable and reliable.

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PERFORMANCE DURING EARTHQUAKES

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ADVANTAGES OF LEAD CENTRE CORE IN BEARINGS

• What happens to lead rubber bearings ???

• Main body of the bearing, rubber being highly elastic, does not suffer any damages, where as lead plug in middle of bearing will experience the same deformation as rubber.

• The LRB generates heat and reduces in size, or dissipates, energy of motion--i.e., kinetic energy--by converting that energy into heat, also thus by reducing the energy entering building.

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SECTIONAL VIEW SHOWING THE ISOLATION DEVICES IN A STRUCTURE

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MULTIPLE DIMENSION OF BASE ISOLATION TECHNIQUESBase Isolation of Bridges Base isolation bearings serves the dual purpose of

providing for thermal movement as well as protecting the bridge from dynamic loads.

The bridge is seismically retrofitted by using the elastomeric identical bearings at pier and abutment locations.

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ISOLATION OF LIQUID STORAGE TANKS

LNG Storage tank : Capacity: 38 million gallons(226 ft dia. x 106 ft. high)

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APPLICATIONS OF BASE ISOLATION 1st application in New Zealand in 1974 1st US application in 1984 1st Japanese application in 1985 US - 80 buildings and 150 bridges Japan - 1000 buildings and 500 bridges 1st Indian application in 2003

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BHUJ HOSPITAL (2003)

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A CLOSER LOOK

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BASE ISOLATION – A FUTURISTIC APPROACH TO SEISMIC RESISTANCE The idea that a building can be uncoupled from the damaging

effects of the ground movement produced by a strong earthquake has appealed to inventors and engineers for more than a century.

Many ingenious devices have been proposed to achieve this result, but very few have been tried and the concept now generally referred to as base isolation or seismic isolation has yet to become acceptable to the engineering profession as a whole.

Although most of the proposed systems are unacceptably complicated, in recent years a few practical systems have emerged and have been implemented. While some of these systems have been tested on large-scale shaking tables, none has to date been tested as built by a strong earth tremor.