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         conditions. Furthermore,  since  Wa r  is  generally  very small
         compared to µ k W , the force needed to roll a cylinder over the surface
         will be much less than that needed to slide it across the surface. It is
         for this reason that a roller or ball bearings are often used to minimize
         the frictional resistance between moving parts.

              VII* TRUSSES


              A  truss  is  a structure composed  of  slender  members joined
         together at  their  end points.  The  members  commonly  used in
         construction  consist of wooden struts or metal bars. In particular,
         planar trusses lie in a single plane and are often used to support roofs
         and bridges. The truss shown in Fig. 1-68,a is an example of a typical
         roof-supporting truss. In this figure, the roof load is transmitted to the
         truss at the joints by means of a series of purlins. Since this loading
         acts in  the same plane  as  the truss,  Fig. 1-68,b, the  analysis  of the
         forces developed in the truss members will be two-dimensional.









                          a                               b
                                     Fig. 1-68.

              31 Simple Trusses

              In the case of a bridge, such as shown in Fig. 1-69, the load on
         the  deck is first transmitted  to  stringers, then to  floor beams, and
         finally to the joints of the two supporting side trusses. Like the roof
         truss, the bridge truss loading is also coplanar, Fig. 1-69.
              When bridge or roof trusses extend over large distances, a rocker
         or roller is commonly used for supporting one end, for example, joint
         A in Figs. 1-68 and 1-69.This type of support allows freedom for




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