Spherical Four-bar Linkage Mechanism Explained: How It Works, Parts, Diagram and Uses

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This partial calculator sorts and totals four selected angular values only. It does not classify a spherical 4R linkage or predict crank rotation, assembly or binding.

Partial · Selected Spherical-Arc Ledger

Sort and total four selected angular values without asserting spherical-linkage closure or rotatability.

0°

Selected Minimum
--
Selected Maximum
--
Selected Total
--
Selected Range
--

Equation Used

min=min(ai); max=max(ai); total=sum(ai); range=max-min.
Selected angular bookkeeping only; no spherical closure, Grashof, crank or bind verdict.
  • Angles are selected positive values in degrees.
  • No minimum-representation reduction is inferred.
  • Closure, assembly, singularities and rotatability are excluded.

The figure is an angular ledger, not a closed spherical linkage.

Watch the Spherical Four-bar Linkage in motion
Video: Four-bar linkage crane by Nguyen Duc Thang (thang010146) on YouTube. Used here to complement the diagram below.
Same mechanism and inputs as the interactive calculator.

Supported angular bookkeeping

The four selected values are sorted to report their minimum, maximum, total and range. No antipodal reduction, loop closure or rotatability test is applied.

Use and boundary

Use the ledger to inspect selected angular data before a fully defined spherical-linkage analysis.

Selected-value identities

minimum=min(ai); maximum=max(ai); total=sum(ai); range=maximum-minimum.

Default example

For 70, 35, 80 and 60 degrees, minimum is 35 degrees, maximum is 80 degrees, total is 245 degrees and range is 45 degrees.

Unsupported classification removed

The former single sorted-arc inequality was not a complete spherical rotatability or binding test.

Questions

Is this a spherical Grashof test?

No.

Does the figure close a spherical loop?

No.

References

References & Further Reading

  • Wikipedia contributors. Four-bar linkage. Wikipedia

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