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Learning

                                                                                   Earthquake Design
                                                                 25                and
                               Earthquake Tip
                                                                                   Construction

            Why are Load Paths Important in Buildings?


            What are Load Paths?
               Mass  is  present  all  through  in  a  building  -  from                         Column
                                                                                   Floor
            roof  parapet  to  foundation.  Earthquake  ground                     Slab
                                                                                                   Beam-Column
            shaking  induces  inertia  forces  in  a  building  where                              Joints
            mass  is  present.  These  inertia  forces  are  transferred      Floor
            downwards  through  horizontally  and  vertically
            aligned  structural  elements  to  foundations,  which,  in
                                                                                   Wall
            turn, transmit these forces to the soil underneath. The      Beam      Shear
            paths along which these inertia forces are transferred                                  Frame Bay
                                                                                                    Braced
            through building are Load Paths (Figure 1a). Buildings
            may have multiple load paths running between locations   Z                    Foundation
            of  mass  and  foundations.  Load  paths  are  as  much  a      Y
            concern  for  transmitting  vertical  loads  (e.g.,  self-     X   Soil
            weight,  occupancy  load,  and  snow;  Figure  1b)  as  for                (a)
            horizontal loads (e.g., earthquake and wind; Figure 1c).                                  Inertia Force
                                                                                                      in Y-direction
            Structural  elements  in  buildings  that  constitute  load
            paths include:
            (a) Horizontal  diaphragm  elements  laid  in  horizontal
               plane,  i.e.,  roof  slabs,  floor  slabs  or  trussed  roofs
               and bracings;
            (b) Vertical  elements  spanning  in  vertical  plane  along
               height  of  building,  i.e.,  planar  frames  (beams  and
               columns  interconnected  at  different  levels),  walls
               (usually made of RC or masonry), & planar trusses;                    Not loaded          Loaded
            (c) Foundations  and  Soils,  i.e.,  isolated  and  combined            Ground movement
               footings, mats, piles, wells, soil layers and rock; and       Loaded   (b)   in Y-direction   (c)
            (d) Connections between the above elements.           Figure 1: Load paths for different load actions –

            Importance of Load Paths                                 (a) key structural elements constituting load

               Buildings  perform  best  in  earthquakes,  when      paths, (b) vertical load paths, and (c) lateral load

            inertia  forces  generated  in  them  are  transmitted  to      paths
            foundation  by  continuous  and  direct  load  paths

            without being bent or interrupted. When some structural

            elements  are  discontinued  along  a  direct  load  path,                              This edge
            loads  have  to  bend  and  take  detours  to  other  load                              elongates

            paths; buildings with discontinuous or indirect load paths
            are  undesirable,  because  brittle  damage  can  occur  in

            structural elements at the interruptions or bends.

            Horizontal Diaphragms
                                                                   No edge shortens
               Floor  and  roof  slabs  are  thin,  wide  structural     or elongates
            elements laid in a horizontal plane at different levels.
            They  transfer  inertia  forces  induced  by  their  own                                        Wall

            masses, to vertical elements on which they rest. During                     This edge
            earthquake  shaking,  horizontal  diaphragms  act  like
                                                                                        shortens
            beams in their own horizontal plane and transmit inertia                              (b)
            forces  to  vertical  elements,  such  as  structural  walls  or

            planar frames. Slabs that are long in plan (i.e., flexible in
            their  own  plane),  bend  and  undergo  undesirable
            stretching  along  one  edge  and  shortening  along  the     (a)
                                                                  Figure 2: In-plane deformation in horizontal
            other  (Figure  2);  they  perform  best  when  relative
            deformations  are  minimal  and  in-plane  stiffness  and   diaphragms – (a) absent, if plan aspect ratio is
                                                                    up to 3, and (b) present, if plan aspect ratio
            strength sufficiently large. In general, slabs should be      exceeds 5
            rectangular with plan length/plan width ratio less than 3.
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