Calculating Hydraulic Pump Area for Efficient Load Lifting

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SUMMARY

The discussion focuses on calculating the areas of hydraulic cylinders for a pump designed to lift a load with a 50:1 force ratio. The user has established that a force of approximately 400 Newtons can be applied, which is amplified to 500 Newtons using a 120mm lever. The lifting load is set at 25,000 Newtons, necessitating precise area calculations for both the small and large cylinders to achieve a 100mm piston displacement on the larger cylinder after 50 strokes of the smaller one. The user seeks assistance in determining the appropriate cylinder areas while maintaining a compact design.

PREREQUISITES
  • Understanding of hydraulic systems and principles
  • Familiarity with pressure calculations (Pressure = Force/Area)
  • Knowledge of lever mechanics and force amplification
  • Basic geometry for calculating cylinder areas
NEXT STEPS
  • Research hydraulic cylinder area calculations using the formula Area = Force/Pressure
  • Learn about the design considerations for compact hydraulic systems
  • Explore the implications of stroke length on hydraulic efficiency
  • Investigate the effects of varying piston diameters on force transmission
USEFUL FOR

Mechanical engineers, hydraulic system designers, and students studying fluid mechanics who are involved in designing efficient lifting mechanisms.

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Homework Statement


I want to calculate the areas of a hydraulic oil pump which will be used to lift a load(car). My load ratio is 50:1 and i want to transfer this power using a lever. I want the second piston to travel to max position on approximately 40 strokes. Also i want the ratio of the cylinders dimater not to be large because my design have to be compact.

Homework Equations


Here is the main formula Pressure=Force/area.

The Attempt at a Solution



I have calculated on both sides of the system my force ratio which is 50:1. The user of the pump can act on the system 400Newton approx and using a lever of a lever of 120mm will increase the input load to 500N. The lifting load is 25000N so 50:1 force ratio. I need some help to calculate the areas of the cylinders. I try to make an assumption for the small area cylinder but the large area cylinder become too large, 50x larger than the input. I am sure that it is an easy solution but as i am never done it again it is difficult for me. I have aslo calculate the stroke of the second cylinder=100mm. Therefore i have to calculate the area of two cylinders which i input 500N and by 50x strokes on the small cylinder i want to get 100mm piston displacement on the large one.
 
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