Yoke Strap Mechanism Explained: How It Works, Diagram, Parts, Formula, and Marine Rigging Uses

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A symmetric two-legged yoke divides an axial load between its legs. Wider separation raises the tension needed in each leg. Explore the ideal balance between leg tension and the included angle.

Yoke Strap Interactive Calculator

Enter axial force and the included angle between equal legs. Compare ideal leg tension, the tension-to-load ratio and the lateral components.

0°

Calculated leg tension
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Calculated tension ratio
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Calculated spread force
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Calculated net side load
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Equation Used

For load F and included angle θ, each leg tension is T = F / [2 cos(θ/2)]. The tension-to-load ratio is T/F. The sum of the magnitudes of the two lateral components is 2T sin(θ/2); their signed resultant is zero by symmetry.
The legs are symmetric and the load is centered. Zero net lateral load does not mean zero lateral force at each attachment. Leg strength, connection strength, bending, fatigue and uneven load sharing are not calculated.
  • Inputs are user-supplied scenario values.
  • The displayed equations are evaluated directly.
  • Entered efficiencies, shares, limits and factors are not predicted.
  • The visual is schematic and not dimensional.
  • Strength, fatigue, wear, variation, controls and safety compliance are omitted unless explicitly calculated.
Watch the Yoke Strap in motion
Video: Scotch yoke of adjustable output stroke length by Nguyen Duc Thang (thang010146) on YouTube. Used here to complement the diagram below.
Same mechanism and inputs as the interactive calculator.

How the Yoke Strap Works

The axial components of the two leg forces add to support the load. Their opposite lateral components cancel for the assembly, although each connection still carries a lateral component.

What This Calculator Represents

The legs are symmetric and the load is centered. Zero net lateral load does not mean zero lateral force at each attachment. Leg strength, connection strength, bending, fatigue and uneven load sharing are not calculated.

Calculation Method

For load F and included angle θ, each leg tension is T = F / [2 cos(θ/2)]. The tension-to-load ratio is T/F. The sum of the magnitudes of the two lateral components is 2T sin(θ/2); their signed resultant is zero by symmetry.

How to Read the Result

Change one input at a time to compare its effect. Apply the assumptions stated beside the equations when interpreting each result.

Assumptions and Limits

The legs are symmetric and the load is centered. Zero net lateral load does not mean zero lateral force at each attachment. Leg strength, connection strength, bending, fatigue and uneven load sharing are not calculated.

Frequently Asked Questions

Why is net side load zero when spread force is not?

The lateral components point in opposite directions and cancel as a resultant. Each attachment still carries its own lateral component.

Does a wider included angle increase leg tension?

Yes, for a fixed centered axial load in this symmetric model. The axial component of each leg tension becomes smaller as the legs spread.

Is the drawing suitable for manufacturing?

No. It is a schematic explanation and does not specify manufacturing dimensions, tolerances or materials.

Do these results establish safe operating limits?

No. Assess the complete equipment, loads, materials, controls and applicable requirements separately.

References

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