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IITK-BMTPC Earthquake Tip 10

             How flexibility of Buildings affects their Earthquake Response?                                page 2
            Importance of Flexibility
               The ground shaking during  an earthquake
            contains a mixture  of many  sinusoidal  waves of
            different  frequencies, ranging from short to  long
            periods (Figure 3). The time taken by the wave  to
            complete one cycle of motion is called  period of  the
            earthquake wave . In general, earthquake shaking of the
            ground has  waves whose periods vary in the range                       Earthquake Shaking

            0.03-33sec. Even within this range,  some earthquake   (a) Buildings in a city lie on different soils
            waves  are  stronger than the others. Intensity of
            earthquake  waves at a  particular building location
            depends on a number of factors, including  the            50
            magnitude of the earthquake, the epicentral distance, and
            the type of ground that the earthquake waves travelled      40                 10-14 Storey       Motion and Soil Liquefaction During Earthquakes,
                                                                                            Buildings
            through before reaching the location of interest.          30  3-5 Storey                        Adapted from: Seed and Idriss, (1982), Ground
                                                                   Structural Damage Intensity (%)      Buildings
                 Short                                                 20
               Period   0              Time                                                                    EERI, USA.

                 Wave     T short                                     10

                                                                       0  0  50  100  150  200   250  300
                        0                     Time                                              Depth of Soil (m)

                                                                  (b) Intensity of damage depends on thickness of
                                                                      underlying soil layer: 1967 Caracas Earthquake

                               Amplitude                         Figure 4: Different Buildings Respond Differently
                 Long                                                to Same Ground Vibration.
                Period   0                           Time
                 Wave          T long

                                                                    Flexible  buildings  undergo  larger  relative
             Figure 3: Strong Earthquake Ground Motion is       horizontal displacements, which may result in damage

                  transmitted by waves of different periods.    to various nonstructural building components and the
                                                                contents. For example,  some items in  buildings, like
               In a typical city, there  are buildings of many   glass windows, cannot take  large lateral movements,
            different  sizes and shapes. One way  of categorizing   and  are therefore damaged severely or crushed.
            them is by their  fundamental natural period T. The   Unsecured shelves might topple, especially at upper
            ground motion under these buildings varies across the   stories of multi-storey buildings.  These damages may
            city (Figure 4a). If the ground is shaken back-and-forth   not affect safety of buildings, but may cause economic
            by earthquake waves that  have short periods, then   losses, injuries and panic among its residents.
            short period  buildings  will have large response.
            Similarly, if the earthquake ground motion has long   Related             Tip
            period waves, then  long period buildings will have   IITK-BMTPC Earthquake Tip 2: How the Ground Shakes?
                                                                IITK-BMTPC  Earthquake Tip 5: What are the  Seismic Effects  on
            larger response. Thus, depending on the value of T of   Structures?
            the buildings and on the characteristics of earthquake
            ground motion (i.e., the periods and amplitude of the   Reading Material
            earthquake  waves), some buildings will be shaken   Wiegel,R., (1970), Earthquake Engineering, Prentice Hall Inc., USA
            more than the others.                               Chopra,A.K., (1980),  Dynamics of Structures – A Primer, Earthquake
               uring the  1967 Caracas earthquake in  South       Engineering Research Institute, USA
            America, the response of buildings  was  found to
            depend on the thickness  of soil  under the buildings.   Authored by:
            Figure 4b shows that for buildings 3-5 storeys tall, the   C.V.R.Murty
            damage intensity was higher in areas with underlying   Indian Institute of Technology Kanpur
            soil cover of around 40-60m thick, but was minimal in   Kanpur, India
            areas with larger thickness of soil cover. On the other   Sponsored by:
            hand, the damage intensity was just the reverse in the   Building Materials and Technology Promotion
            case of 10-14 storey buildings; the damage  intensity   Council, New Delhi, India
            was more when the soil cover was in the range 150-
            300m,  and small for lower thickness  of soil cover.    This release  is  a property of  IIT Kanpur  and BMTPC  New
            Here, the soil layer under the building plays the role of   Delhi. It may be reproduced without changing its contents
            a filter, allowing some ground waves to pass through   and with  due  acknowledgement.  Suggestions/comments
                                                                   may be  sent  to:  nicee@iitk.ac.in.  Visit  www.nicee.org  or
            and filtering the rest.                                www.bmtpc.org, to see previous IITK-BMTPC Earthquake Tips.
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