Medieval Treadwheel Crane

2D twin of the 3D harbour hoist: walkers in a tread wheel turn a rope drum on the same shaft, driven by the identical physics file.

Presets

Playback

Cargo and crew

The walkers push on a 3 m radius; the rope winds on a 0.20 m drum on the same shaft. Torque balance sets the heaviest cargo the crew can lift: T_walkers = m g r / eta.

Drive

Model checks

The science

What is modelled

A wheel-and-axle: workers walking inside a large wheel apply a torque to a shaft, and a much smaller drum on the same shaft winds the rope. The big radius ratio (3 m to 0.2 m) lets a few people raise a cargo weighing over a tonne.

Equations

  • Available torque N x F x R per pair, doubled when the pairs are coupled.
  • Required torque m g r_drum / eta; the load is allowed when required does not exceed available (and stays within the historical mode limit).
  • Rope speed omega r_drum (shown 18 times faster so a lift is watchable); the tread rim moves at omega R.

Checks run in the page

  • Drum torque against m g r / eta.
  • Load limit against the 2 t reference and coupled doubling.
  • Rope kinematics against the integrated height.
  • Walking pace against a human range.

Honest simplifications

A static torque-balance model with constant efficiency and effort: no gait dynamics, rope mass, brake or acceleration phase, and an interpretive geometry. Not a lifting-safety tool.

What to try
  • Press Heavy cargo: the required torque passes the available one and the lift is blocked.
  • Press Big crew to double the workers and watch the limit rise.
  • Switch the drive mode to coupled.
Hook height over time
Required torque against cargo mass
Maximum load against crew size
Walking speed and rope speed against wheel rotation
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