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FOUR BAR LINKAGE POSITION

Four Bar Linkage Position Calculator

Solve one non-toggle assembly of a planar four-bar mechanism from link lengths and crank angle.

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Result

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Calculation steps

Work through one step at a time or reveal the complete calculation. The steps use your current inputs.

    How to calculate

    Place fixed pivots at(0,0) and(ground,0), then select the signed circle-intersection normal.

    Moving coupler joint is an intersection of circles centered at the crank end and output pivot

    Worked example

    The solved moving joint must be exactly one coupler length from the crank end and one rocker length from the fixed output pivot.

    Assumptions and input details

    One position only, rigid links and ideal pin joints. Toggle/coincident/invalid assemblies are rejected. Branch is a geometric signed normal, not a universal upper/lower label. No full-rotation, force, collision or clearance determination.

    Unit definitions

    Unit selection is independent of language. Each selector contains only units for its physical quantity. Calculations use defined base units internally.

    Choose from 23 length definitions, including explicitly labelled regional measures. Area conversions square the length factor; geometric volumes cube it.

    Regional measures are not interchangeable merely because their names look similar. This is a documented selection, not a claim to include every historical unit.

    NIST measurement tables · Japanese traditional units · Mainland China and Hong Kong unit distinctions

    Using this calculator

    Can I enter my own problem?

    Yes. Replace the example values with your own inputs. The result, calculation steps, tables and applicable diagrams update from those inputs. Blank or invalid values clear the result; example values are never silently substituted for missing inputs.

    Are the results exact?

    Results use floating-point arithmetic and displayed rounding. Read the formula, assumptions and any stated data precision before interpreting the result.

    Is my input uploaded?

    The calculation runs in your browser. No account, file upload or external AI service is required. Inputs are not saved between page reloads.

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