Page 98 - Mechanical Engineer's Data Handbook
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APPLIED  MECHANICS                                                                87



         2.8  Brakes, clutches and dynamometers



         2.8.1   Band brake

         In the simple band brake a force is applied through a
         lever to a  band  wrapped  part  of  the  way  around a
         drum. This  produces  tensions  in  the  band  and  the
         difference between these multiplied by the drum radius
         gives the braking torque.
         Let  :
         T= braking torque
         P = braking power                           2.8.2   Block brake
         F = applied force
         p = maximum pressure on friction material   The friction force is applied through a luck made of,
         p = coefficient of friction                 or  lined  with,  a  friction  material.  The  brake  can
         N = speed of  rotation                      operate  with  either  direction  of  rotation,  but  the
         a =lever  arm                               friction torque  is  greater  in  one direction  than  the
         b = belt width                              other. As  in  all friction brakes  the limiting factor is
         0 =angle of  lap of  band                   the allowable pressure on the friction material.
          r = drum radius
          c = distance from belt attachment to fulcrum
         Power P = 2nN T
         Torque  T= r(F, - F,)










                                                                     Farp
                                                     Friction torque  T=-
                                                                    cfpb
                                                                 Fa
                                                     Pressure p=-
                                                               (c f pb)A
        Diflerential  band  brake                    where: A =block  contact area.
                                                     Use the positive sign for directions shown in the figure
         In this case the dimensions can be chosen so that the   and the  negative sign for opposite  rotation  (greater
         brake is ‘self-locking’, i.e. no force is required, or it can   torque).
         operate in the opposite direction.
                                                     Double block brake, spring  set

                                                     To achieve a greater friction torque, two blocks are
        If  cleflo is greater than c2, the brake is self-locking.   used. This also results in zero transverse force on the
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