This calculator evaluates ideal vertical free-fall energy, speed and time-averaged potential-energy rate from entered mass, drop height and event rate. It does not predict pile-driving performance, impact force or equipment capacity.
Hydraulic Pile Driver Interactive Calculator
Explore lossless gravitational free-fall identities for a hypothetical mass released from rest.
Equation Used
- Entered tonnes are metric mass tonnes and g=9.80665 m/s².
- Vertical free fall from rest through the entered height with no hydraulic, guide or aerodynamic loss.
- Each event repeats the same ideal potential-energy change at the entered rate.
- No impact duration/force, rebound, cushion, pile, soil, wave equation, stresses, fatigue, crane/leader, hydraulics, noise, vibration, exclusion-zone or safety model.
The percentage compares calculated ideal energy with a fixed 90 kJ reference. That reference is an arithmetic baseline, not the rating of a particular hammer or a recommended energy.
Ideal vertical free fall
A mass m descending through height h loses gravitational potential energy mgh. If released from rest with no losses, that equals kinetic energy just before contact and gives v=sqrt(2gh).
The animation is qualitative and does not simulate impact or hydraulic machinery.
Use as a dimensional check
The identities can check ideal gravitational energy, speed and average energy-rate arithmetic. They cannot select a hammer, predict penetration, establish refusal or approve a piling operation.
Energy is not impact force
E=mgh and v=sqrt(2gh). Multiplying E by events per second gives an ideal average energy rate, not instantaneous impact power. Impact force requires deceleration history and interacting hammer, cushion, pile and soil dynamics.
Worked falling-mass example
For 7.0 metric tonnes falling 1.31 m, ideal potential energy is about 89.94 kJ and lossless speed is 5.07 m/s. At 45 events/min, average ideal energy rate is 67.46 kW. The energy is about 99.9% of the fixed 90 kJ arithmetic reference. That percentage does not rate the equipment.
Scope and limitations
Actual pile driving requires verified hammer energy at the pile, efficiency and cushions, ram and anvil dynamics, pile material and geometry, soil profile and setup, wave-equation/dynamic analysis, stresses and fatigue, drivability and refusal criteria, crane/leader and hydraulic ratings, monitoring, noise/vibration controls, exclusion zones and applicable geotechnical and construction requirements.
Frequently asked questions
Does mgh give impact force?
No. It gives an energy change. Impact force additionally depends on the stopping motion and the interaction between the mass, cushion, pile and soil.
What does the 90 kJ percentage mean?
It is calculated energy divided by a fixed 90 kJ reference, multiplied by 100. The reference is not an equipment rating or recommended operating energy.
Can this predict pile penetration?
No. Pile and soil properties, energy losses and impact dynamics are absent.
Calculation basis
A mass falling from rest through height h loses gravitational potential energy E = mgh. In an ideal lossless fall, equating that energy to ½mv² gives v = √(2gh). Multiplying energy per event by events per second gives an average energy rate.
The model uses metric mass tonnes and standard gravity. It does not include hydraulic acceleration, friction, impact duration or pile response. The input ranges and fixed 90 kJ comparison are arithmetic examples, not operating recommendations.
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