Page 35 - Fluid Power Engineering
P. 35

12    Cha pte r  O n e


               Piston diameter D = 100 mm
               Piston rod diameter d = 70 mm
               7.  The given figure shows the extension mode of a hydraulic cylinder, in
               differential connection. The  losses in the trans mission lines and control valves
               were neglected. Calculate the loading force, F, inlet flow rate, Q , returned flow
                                                             in
               rate, Q , piston speed, v, cylinder output mechanical power, N , and pump
                    out                                        m
               output hydraulic power, N . Comment on the calculation results compared with
                                   h
               the case of problem 6, given
















               Delivery line pressure P = 200 bar
               Pump flow rate Q = 40 L/min
                             P
               Piston diameter D = 100 mm
               Piston rod diameter d = 70 mm
               8.  Shown is the hydraulic circuit of a load-lifting  hydraulic system. The lowering
               speed is controlled by means of a throttle-check valve. Discuss the construction
               and operation of this system. Redraw the hydraulic circuit in the load-lowering
               mode, then calculate the pressure in the cylinder rod side, P , the inlet flow rate,
                                                          C
               Q , outlet flow rate, Q , pump flow rate, Q , pump output power, N , and the
                 in             out             P                 h
               area of the throttle valve, A . Neglect the hydraulic losses in the system elements,
                                   t
               except the throttle valve.
                 The flow rate through the throttling element is given by:  Q =  C A  2Δ P/ρ ,
                                                                d  t
               where
                            3
               Q = Flow rate, m /s            C = Discharge coefficient
                                               d
               A = Throttle area, m 2         ΔP = Pressure difference, Pa
                 t
               ρ= Oil density, kg/m 3
               Given
               Pump exit pressure = 30 bar    Piston speed = 0.07 m/s
                                 2
               Piston area A = 78.5 cm        Piston rod side area A = 40 cm 2
                         P                                    r
               Oil density = 870 kg/m 3       Discharge coefficient = 0.611
               Safety valve is pre-set at 350 bar   Weight of the body = 30 kN
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