Variable Crank Motion: Compare Two Ideal Slider Strokes

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An adjustable crank changes the radial distance from shaft axis to crank pin. For an ideal in-line slider-crank completing a full revolution, peak-to-peak slider stroke equals twice that radius. This calculator compares two independently entered radius states.

Variable Crank Motion Interactive Calculator

Enter crank-radius state A and state B. Results are ideal endpoint geometry—not an instantaneous motion profile, load, power, clamp, connecting-rod or machine design calculation.

0°

Ideal stroke at state A
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Ideal stroke at state B
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Signed stroke difference B - A
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Stroke ratio B / A
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Equation Used

S_A=2r_A; S_B=2r_B; signed difference=S_B-S_A; ratio=S_B/S_A=r_B/r_A.
The difference is signed: a negative result means entered state B has less ideal stroke than state A. The ratio is a displacement ratio only and does not state power, force or mechanical advantage.
  • Both inputs are positive crank radii in millimetres.
  • Each state is an ideal in-line slider-crank completing a full revolution.
  • The two radii are independent entered comparison states, not minimum and maximum constraints.
  • The generic animation uses a schematic radial slot and does not infer a specific adjustment or locking construction.
  • Connecting-rod length affects intermediate position and force transmission but not ideal peak-to-peak endpoint stroke.
  • Instantaneous motion, speed, acceleration, load, torque, power, clamp force, stress, fatigue, clearance, backlash, wear, accuracy, operating limits and safety are omitted.
Same mechanism and inputs as the interactive calculator.

Documented Adjustable-Radius Principle

U.S. Patent 3,672,242 documents a crank with a crank pin movable radially relative to the shaft axis, while U.S. Patent 3,703,839 documents a different variable-throw crankpin arrangement. These sources support the general adjustable-radius principle but not one universal slot, clamp or lock.

The animation illustrates a generic radial slot and two entered crank-radius states. The slot and clamp are not dimensioned for a particular machine.

What This Calculator Represents

The tool doubles each entered radius for ideal peak-to-peak stroke, subtracts state A from state B and divides B by A. It makes no claim about force, power, speed, adjustment method or machine suitability.

Ideal Endpoint Comparison

state A stroke S_A = 2r_A
state B stroke S_B = 2r_B
signed difference = S_B - S_A
stroke ratio = S_B / S_A = r_B / r_A

For an ideal in-line slider-crank, the two extreme slider positions differ by twice the crank radius. Connecting-rod length is needed for intermediate position and angularity, neither of which is calculated here.

Worked Entered-Value Example

At entered radii 35 mm and 80 mm, ideal endpoint strokes are 70 mm and 160 mm. The signed difference B - A is 90 mm and the stroke ratio B/A is 2.29.

Model Boundary

  • Calculated: two ideal twice-radius strokes, signed difference and ratio.
  • Illustrated: generic radial adjustment and two crank states.
  • Not calculated: instantaneous slider position, velocity, acceleration, rod angle, force, power, mechanical advantage, pin or slot design, locking, stress, fatigue, backlash, wear, accuracy, limits or safety.

Frequently Asked Questions

Are the inputs required to be short and long?

No. They are independent states A and B; the difference may be negative.

Does twice radius require a connecting-rod length?

Not for peak-to-peak endpoint stroke of an ideal in-line slider-crank.

Does the ratio describe force or power?

No. It is only a stroke ratio.

Does the drawing specify a clamp or lock?

No.

Are speed and acceleration included?

No.

Can this size or approve a real adjustable crank?

No.

References

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