This partial calculator keeps only ideal supporting-part and work arithmetic. It does not identify or reconstruct a Spanish Burton form because the exact independent-rope routing, terminations, moving bodies, sheaves, segment tensions, splay and anchor reactions are not defined.
Partial · Ideal Supporting-Part Work Ledger
Explore ideal supporting-part count and conservation of work without inventing Spanish Burton reeving.
Equation Used
- N is a user-selected abstract supporting-part count.
- Supporting parts are ideal, vertical and equal-tension.
- The model is lossless and obeys conservation of work.
- Rope routing, terminations, moving sheaves, friction, splay, anchor reactions, dynamics and safety factors are excluded.
The secondary figure is a parallel-line tally, not a rope path.
Supported ideal supporting-part arithmetic
For an explicitly selected count N of equal-tension vertical supporting parts in an ideal lossless model, ideal mechanical advantage is N, ideal pull force is mg/N, ideal haul length for lift h is Nh and ideal input work equals mgh.
This is an abstract work ledger, not a reeving diagram or a claim that the named tackle has N supporting parts.
Use and boundary
Use the ledger to understand ideal supporting-part count and conservation of work. Do not use it to determine a real Spanish Burton pull, efficiency, splay correction, anchor load or safety factor.
Ideal lossless identities
MA_ideal=N; F_ideal=mg/N; haul=N h; work=F haul=mgh.
Default selected-value example
For m=270 kg, h=1 m and selected N=3, ideal pull is about 882.6 N, ideal haul length is 3 m and ideal input work is about 2647.8 J.
Unsupported tackle claims removed
The former fixed 5:1 label, global efficiency multiplier, cosine splay correction and anchor-load multiplier were removed. Historical sources distinguish single and double Spanish Burton configurations, so exact reeving must be established before naming a real advantage.
Questions
Does N identify a Spanish Burton?
No. It is an abstract selected supporting-part count.
Are real rope tensions equal?
Not necessarily; sheave friction and routing can produce unequal tensions.
Is anchor load calculated?
No.
References
References & Further Reading
- Wikipedia contributors. Block and tackle. Wikipedia
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