Page 11 - BPW axles with air suspension Series O SL AL
P. 11

Forces when braking               3.4


                                                              Normal forces of axle load:

                                                                       F A  ± D F A
                                                              F NB  =      2
                                                                                L2
                                                              F StN  =  F NB  x  L1 + L2

                                                                                L1
                                                              F LfN  =  F NB  x
                                                                             L1 + L2


                                                              Braking force:
                                                                        z
                                                              F B   =       x F NB
                                                                       100


                                                              Forces of braking moment support:
                                                                       F
         F NB  =  Wheel force on ground during braking (N)    ∆ F   =     B  x h A
         ∆  FA  =  Axle load displacement when braking (N)       ZB    L1 + L2
                  (Depending upon design of vehicle, particulary with
                  drawbar trailer front axles)
                                                              Total force on the hanger bracket in
         F StN  =  Hanger bracket force of wheel force on     direction “X”:
                  ground (N)                                  F StX  =  F B
         F LfN  =  Air bag force of wheel force on ground (N)
         F B   =  Braking force (N)                           Total force on the hanger bracket in
         z     =  Braking performance (%)                     direction “Z”:
         ∆  FZB  =  Reaction force of braking moment (N)      F StZ  =  F StN -  ∆ F ZB

         h A   =  Height of deflection over road surface
         F StX  =  Total force on the hanger bracket in       Total force on the air bag in direction “Z”:
                  direction “X”                               F LfZ  =  F LfN +  ∆ F ZB
         F StZ  =  Total force on the hanger bracket in
                  direction “Z”
         F LfZ  =  Total force on the air bag in direction “Z”


          Example HSFALM 9010 30 K:



         F A   =  88290 N                                     h A   =  600 mm
         ∆ F A  =    Zero is assumed in example
                                                                       35316 x 600
                                                              ∆ F ZB  =                 = 24079 N
                  88290
         FNB   =              = 44145 N                                    880
                    2
                                                              F StX  =  35316 N
                             380
         F StN  =  44145 x            = 19063 N
                          500 + 380
                                                              F StZ  =  19063 - 24079 = -5016 N
                             500
         F LfN  =  44145 x            = 25082 N
                          500 + 380                           F LfZ  =  25082 + 24079 = 49161 N
         z     =  80 %
         F B   =  0,8 x 44145 = 35316 N




           BPW-EA-Luft 1023701e                                                                            11
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