Page 225 - The Tribology Handbook
P. 225

BIZ                          Capstans and drums





               Capstans and drums are employed for rope drives. The former are generally  friction  drives whilst  the latter are usually
               direct drives with  the rope attached to the drum. The roles, however, may  be  reversed.  Friction  drives  control  the rope
               motion by developing traction between the driving sheave and the rope and might be preferred to direct drives for reasons of
               economy (smaller drive sheave), safety  (slippage possible) or necessity (e.g. endless  haulage).
                105






                104




                                                                              T  =  TENSION N
             '-                                                                /.I  =  COEFFICIENT OF FRICTION

             h'   103                                                         e =  ANGLE  OF  LAP-RADIANS
                                                                                  (FULL AND PART LAPS)
                                                                              H  =  POWER W
                                                                              H'= TENSION DIFFERENCE N
                                                                              V  =  PERIPHERAL VELOCITY  m/s
                1 02                                                          w= WEIGHT/UNIT  LENGTH OF  ROPE kg/n
                                                                              1 DENOTES 'TIGHT' SIDE
                                                                              2 DENOTES 'SLACK'SIDE
                                                                              c  DENOTES CENTRIFUGAL

                10                                                     05
                10
                                                                                  T1/T2 =e@  (AT ROPE SLIP)

                                                                                l-!=(T1-T2)V=H'VW
                102







             -?- 103                                                          THE CONSIDERATION OF THE  ROPE
              X                                                               CENTRIFUGALTENSION (Tc = wV2)
                                                                              WILL NOT AFFECT THE CALCULATION
                                                                              OF DRIVE POWER. HOWEVER THE
                                                                              'TIGHT' AND 'SLACK'SIDE  TENSIONS
                                                                              WILL BE INCREASED BY AN AMOUNT
                                                                              SUCH THAT:
               104
                                                                               'TIGHT' SIDE TENSION = Ti + Tc
                                                                               'SLACK'SIDE  TENSION = 7-2  + Tc




                105
               FRICTION DRIVES

               The figure shows the determination of the approximate performance of friction drives at the rope slip condition. In contrast
               to the belt and pulley situation the required  'tight'  or 'slack'  side tension is usually known. Capstans are widely used with
               vegetable, animal  or man-made fibre ropes, but more rigorous conditions demand wire rope.
                                                           B12.1
   220   221   222   223   224   225   226   227   228   229   230