A cable hoist and conveyor combines a trolley travelling along a supporting cable with a lifting mechanism beneath it. This demonstration shows the two motions separately and makes the hoisting rope continuous, so the supporting falls can be counted.
Cable Hoist and Conveyer Interactive Calculator
Set total suspended mass and the number of load-supporting rope falls. See a travelling cableway trolley lift and lower its load, with ideal line tension and the hook-to-rope speed ratio calculated below.
Equation Used
- One continuous, ideal hoisting rope with equal tension in each supporting fall.
- The entered mass represents the entire suspended load; no unentered block mass is added.
- Supporting falls are parallel and vertical. Sheaves are spread sideways for clarity.
- Even-fall arrangements end on the fixed block; odd-fall arrangements end on the moving block.
- The cableway is a general demonstration, not a dimensioned reconstruction of the historical dumping carriage. No capacity or operating-speed rating is inferred.
More supporting falls reduce ideal line tension and hook speed together. This mechanical advantage describes force and motion ratios; it does not determine the capacity of the crane, rope or supports.
Travelling along a cable and lifting beneath it
A cableway trolley rolls on a supporting track rope while a separate haul arrangement controls travel. The load hangs from a hoisting mechanism beneath the trolley. Hiscox’s historical illustration, Figure 1471, also shows control lines for a dumping device.
This general demonstration separates trolley travel from vertical hoisting. A trolley-mounted illustrative winch and visible tackle show how supporting falls divide the load and change hook travel. It does not reproduce Figure 1471’s separate dumping controls. The bucket remains attached and does not dump during the cycle.
The hoisting rope is continuous through the selected number of supporting falls. Fixed and moving sheaves are spread apart so their connections can be followed.
What the cableway example explains
The historical reference describes excavation work in canals and trenches. Modern cable-crane manufacturers document track-rope supports, pulleys and towers for material ropeways.
The animation explains how a load can be lifted and translated without a rigid beam across the whole depicted span. The drawn straight track rope is a schematic simplification; real sag, anchoring forces and trolley dynamics require their own analysis.
Count supporting rope falls
For an ideal tackle in static equilibrium, n equal upward rope tensions support the total weight mg. Therefore each line tension is T = mg/n. With g = 9.80665 m/s², the equivalent kilogram-force value is m/n.
If the load rises a distance h, each of n supporting spans shortens by h. The winch takes up nh of rope. Hook speed is therefore rope speed divided by n. The animation keeps rope take-up fixed across settings so this tradeoff is visible.
The result n is ideal mechanical advantage. It is not permission to increase rated load: rope strength, sheave and bearing loads, supports, winch capability and losses are not assessed.
Compare two falls with four
At 1,000 kg total suspended mass and two falls, line tension is 500 kgf, or approximately 4,903 N. Hook speed is half the rope speed.
With four falls and the same mass, ideal line tension becomes 250 kgf, approximately 2,452 N. Hook speed is one-quarter of rope speed. For the same rope take-up, the animation lifts only half as far as the two-fall arrangement.
One fall has no ideal force advantage. The fixed guide changes rope direction, while the load-end attachment carries one tension.
What additional falls change
More supporting falls reduce ideal line force and hook speed together. The model does not add friction or moving-block mass when more sheaves are selected; those effects matter in a real system.
Trolley travel is an illustrative separate motion. Haul-rope force, track-rope sag, tower reactions and load swing are outside this calculator.
Questions about the hoist illustration
Why does a larger fall count lift less far in the animation?
The hoist takes up the same illustrative length of rope. Hook travel is that length divided by the number of supporting falls.
Are falls the same as the number of pulley wheels?
No. Count rope spans that support the moving block and load. A fixed guide can change direction without adding mechanical advantage.
Does mechanical advantage multiply the rated capacity?
No. It describes ideal force and displacement ratios only. The system rating depends on its components and design.
Why does the bucket not dump?
The historical device includes separate dumping controls. This demonstration covers traverse and ideal hoisting only.
Construction and calculation references
Hiscox, Mechanical Movements, Powers, Devices and Appliances, page 354, Figure 1471: historical cable hoist and conveyor with traveller and dumping-control lines.
LCS cable-crane components: track-rope supports, pulleys and towers.
OpenStax, Simple Machines: ideal pulley advantage and the corresponding rope-travel tradeoff.
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