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Learning

                                                                 22                Earthquake Design
                               Earthquake Tip                                      and

                                                                                   Construction

            Why are Short Columns more damaged during Earthquakes?


            Which Columns are short?                            The Short Column Behaviour
               During past earthquakes, reinforced concrete (RC)    Many situations with short column effect arise in
            frame buildings that have columns of different heights   buildings. When a building is rested on sloped ground
            within one storey, suffered more damage in the      (Figure 1a), during  earthquake shaking  all  columns
            shorter columns as compared to taller columns in the   move horizontally by the same amount along with the
            same  storey. Two examples of buildings with short   floor slab at a particular level (this is called rigid floor
            columns  are shown in  Figure  1 –  buildings on a   diaphragm action; see IITK-BMTPC Earthquake Tip 17). If
            sloping ground and buildings with a mezzanine floor.   short and tall columns exist within the same  storey
                                                                level, then the short columns attract several times
                                 (b)                            larger earthquake force  and suffer more damage  as
                            Mezzanine                           compared to taller ones.
                                Floor                               The short column effect  also occurs  in columns
                                                                that support mezzanine  floors or  loft slabs that  are

             (a)                                                added in between two regular floors (Figures 1b).
                                                                    There is another special situation  in buildings
                                                                when short-column effect occurs. Consider a wall
                                                                (masonry or RC) of partial height built to fit a window
                                      Short         Regular     over the remaining height. The adjacent columns
                                      Column        Column      behave as short columns due to presence of these
                 Tall
            Colu  mn                                            walls. In many cases, other columns in the same storey
                           Sloped Ground                        are of regular height, as there are no walls adjoining
                                                                them. When the floor slab moves horizontally during
              Figure 1: Buildings with short columns – two      an earthquake, the upper ends of  these columns
                 explicit examples of common occurrences.
                                                                undergo the same displacement (Figure 3). However,
                                                                the stiff walls restrict horizontal movement of the
               Poor behaviour of short columns is due to the fact   lower portion of a short column, and it deforms by the
            that in an earthquake,  a tall column and a  short   full amount  over  the short  height  adjacent to the
            column of same cross-section move horizontally  by   window opening. On the other hand, regular columns
            same amount Δ (Figure 2). However, the short column   deform over  the  full height. Since the effective height
            is stiffer as compared to the tall column, and it attracts   over which a short column can freely bend is small, it
            larger earthquake force.  Stiffness of  a  column means   offers more resistance  to horizontal motion  and
            resistance to deformation – the larger is the stiffness,   thereby attracts a larger force as compared to the
            larger  is the force required to deform it. If  a short   regular column. As  a result, short column  sustains
            column  is not adequately designed  for such  a  large   more damage. Figure 4 shows X-cracking in a column
            force, it can suffer significant damage during an   adjacent to the walls of partial height.
            earthquake.  This behaviour is called  Short Column
            Effect. The damage in these short columns is often in                           Partial
            the form of X-shaped cracking – this type of damage of              Short       Height      Regular
                                                                                column
            columns is due  to  shear failure (see  IITK-BMTPC   Opening                    Wall        Column

            Earthquake Tip 19).

                          Δ                  Δ

                                       Short                     Portion of

                                                                 column

                                                                 restrained
                                  Long                           from
             Tall Column:

             Attracts smaller                 Short Column:      moving

             horizontal force                 Attracts larger

                                              horizontal force
                                                                 Figure 3: Short columns effect in RC buildings

            Figure 2: Short columns are stiffer and attract          when partial height walls adjoin columns –

                 larger forces during earthquakes – this must        the effect is implicit here because infill walls
                be accounted for in design.                          are often treated as non-structural elements.
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