Hydraulic Cylinder[ + ] | |||
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Imperial | Metrical | ||
Bore Area | ##A_b=\frac{\pi}{4}\cdot D_b^{2}## |
#A_b# – Bore Area, in2 #D_b# – Bore Diameter, in |
#A_b# – Bore Area, mm2 #D_b# – Bore Diameter, mm |
Annular Area | ##A_a=\frac{\pi}{4}\cdot (D_b^{2}-D_r^{2})## |
#A_a# – Annular Area, in2 #D_b# – Bore Diameter, in #D_r# – Rod Diameter, in |
#A_a# – Annular Area, mm2 #D_b# – Bore Diameter, mm #D_r# – Rod Diameter, mm |
Area Ratio | ##CR=\frac{A_b}{A_b-A_r}:1## |
#CR# – Area Ratio #A_b# – Bore Area, in2 #A_r# – Rod Area, in2 |
#CR# – Area Ratio #A_b# – Bore Area, mm2 #A_r# – Rod Area, mm2 |
Piston Velocity at the given flow |
##v=\frac{Q\cdot K}{A\cdot 60}## |
#v# – Velocity, in/sec #Q# – Flow, gpm #A# – Work Area, in2 #K=231# in3/gal |
#v# – Velocity, m/sec #Q# – Flow, lpm #A# – Work Area, mm2 #K=1000# l/m3 |
Required Flow at the given time |
##Q=\frac{s\cdot A\cdot 60}{t\cdot K}## |
#Q# – Flow, gpm #s# – Stroke, in #A# – Work Area, in2 #t# – Time, sec. #K=231# in3/gal |
#Q# – Flow, lpm #s# – Stroke, m #A# – Work Area, mm2 #t# – Ext./Ret. time, sec. #K=1000# l/m3 |
Force | ##F=p\cdot A## |
#F# – Force, lb #p# – Pressure, psi #A# – Work Area, in2 |
#F# – Force, N #p# – Pressure, MPa #A# – Work Area, mm2 |
Hydraulic Pump[ + ] | |||
Imperial | Metrical | ||
Flow Rate | ##Q=\frac{disp\cdot n\cdot E_{v}}{K\cdot 100}## |
#Q# – Flow, gpm #disp# – Displacement, in.cu. #n# – Rotational speed, rpm #E_{v}# – Volumetric Efficiency, % #K# = 231 |
#Q# – Flow, lpm #disp# – Displacement, cm3 #n# – Rotational speed, rpm #E_{v}# – Volumetric Efficiency, % #K# = 1000 |
Displacement | ##disp=\frac{Q\cdot K\cdot 100}{n\cdot E_{v}}## |
#disp# – Displacement, in.cu. #Q# – Flow, gpm #n# – Rotational speed, rpm #E_{v}# – Volumetric Efficiency, % #K# = 231 |
#disp# – Displacement, cm3 #Q# – Flow, lpm #n# – Rotational speed, rpm #E_{v}# – Volumetric Efficiency, % #K# = 1000 |
Leakages (case drain flow) |
##Q_L=\frac{disp\cdot n\cdot (100-E_{v})}{K\cdot 100}## |
#Q_L# – Drain Flow, gpm #disp# – Displacement, in.cu. #n# – Rotational speed, rpm #E_{v}# – Volumetric Efficiency, % #K# = 231 |
#Q_L# – Drain Flow, lpm #disp# – Displacement, cm3 #n# – Rotational speed, rpm #E_{v}# – Volumetric Efficiency, % #K# = 1000 |
Required Torque to provide the given pressure |
##T=\frac{disp\cdot p\cdot100}{2\cdot \pi\cdot E_m}## |
#T# – Torque, lb.-in. #disp# – Displacement, in.cu. #p# – Pressure, psi #E_{m}# – Mechanical Efficiency, % |
#T# – Torque, Nm #disp# – Displacement, cm3 #p# – Pressure, MPa #E_{m}# – Mechanical Efficiency, % |
Provided Pressure based on torque from engine |
##p=\frac{2\cdot \pi\cdot T\cdot E_m}{disp\cdot100}## |
#p# – Pressure, psi #T# – Torque, lb.-in. #disp# – Displacement, in.cu. #E_{m}# – Mechanical Efficiency, % |
#p# – Pressure, MPa #T# – Torque, Nm #disp# – Displacement, cm3 #E_{m}# – Mechanical Efficiency, % |
Power required from the engine |
##P_{in}=\frac{Q\cdot p\cdot100}{K\cdot E}## |
#P_{in}# – Power, hp #Q# – Flow, gpm #p# – Pressure, psi #E# – Overall Efficiency, % #K# = 1714 |
#P_{in}# – Power, kW #Q# – Flow, lpm #p# – Pressure, MPa #E# – Overall Efficiency, % #K# = 60 |
Efficiency | ##\frac E{100}=\frac{E_v}{100}\cdot\frac{E_m}{100}## |
#E# – Overall Efficiency, % #E_v# – Volumetric Efficiency, % #E_m# – Mechanical Efficiency, % |
#E# – Overall Efficiency, % #E_v# – Volumetric Efficiency, % #E_m# – Mechanical Efficiency, % |
Hydraulic Motor[ + ] | |||
Imperial | Metrical | ||
Required Flow to provide the given rpm |
##Q=\frac{disp\cdot n\cdot100}{K\cdot E_v}## |
#Q# – Flow, gpm #disp# – Displacement, in.cu. #n# – Rotational speed, rpm #E_{v}# – Volumetric Efficiency, % #K# = 231 |
#Q# – Flow, lpm #disp# – Displacement, cm3 #n# – Rotational speed, rpm #E_{v}# – Volumetric Efficiency, % #K# = 1000 |
Displacement to provide the given rpm |
##disp=\frac{Q\cdot K\cdot E_{v}}{n\cdot 100}## |
#disp# – Displacement, in.cu. #Q# – Flow, gpm #n# – Rotational speed, rpm #E_{v}# – Volumetric Efficiency, % #K# = 231 |
#disp# – Displacement, cm3 #Q# – Flow, lpm #n# – Rotational speed, rpm #E_{v}# – Volumetric Efficiency, % #K# = 1000 |
Leakages (case drain flow) |
##Q_L=\frac{disp\cdot n\cdot(100-E_v)}{K\cdot E_v}## |
#Q_L# – Drain Flow, gpm #disp# – Displacement, in.cu. #n# – Rotational speed, rpm #E_{v}# – Volumetric Efficiency, % #K# = 231 |
#Q_L# – Drain Flow, lpm #disp# – Displacement, cm3 #n# – Rotational speed, rpm #E_{v}# – Volumetric Efficiency, % #K# = 1000 |
Output Torque based on the motor inlet pressure |
##T=\frac{disp\cdot p\cdot E_m}{2\cdot \pi\cdot100}## |
#T# – Torque, lb.-in. #disp# – Displacement, in.cu. #p# – Pressure, psi #E_{m}# – Mechanical Efficiency, % |
#T# – Torque, Nm #disp# – Displacement, cm3 #p# – Pressure, MPa #E_{m}# – Mechanical Efficiency, % |
Required Pressure to provide the given torque |
##p=\frac{2\cdot \pi\cdot T\cdot100}{disp\cdot E_m}## |
#p# – Pressure, psi #T# – Torque, lb.-in. #disp# – Displacement, in.cu. #E_{m}# – Mechanical Efficiency, % |
#p# – Pressure, MPa #T# – Torque, Nm #disp# – Displacement, cm3 #E_{m}# – Mechanical Efficiency, % |
Power provided to the consumer |
##P_{out}=\frac{Q\cdot p\cdot E}{K\cdot 100}## |
#P_{out}# – Power, hp #Q# – Flow, gpm #p# – Pressure, psi #E# – Overall Efficiency, % #K# = 1714 |
#P_{out}# – Power, kW #Q# – Flow, lpm #p# – Pressure, MPa #E# – Overall Efficiency, % #K# = 60 |
Efficiency | ##\frac E{100}=\frac{E_v}{100}\cdot\frac{E_m}{100}## |
#E# – Overall Efficiency, % #E_v# – Volumetric Efficiency, % #E_m# – Mechanical Efficiency, % |
#E# – Overall Efficiency, % #E_v# – Volumetric Efficiency, % #E_m# – Mechanical Efficiency, % |
Hydraulic Formulas
Hydraulic Cylinder[ + ] | |||
---|---|---|---|
Hydraulic Pump[ + ] | |||
Hydraulic Motor[ + ] |