Wharf Crane: Load-radius and Counterweight Comparison

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A wharf crane moves cargo between a vessel and the dock. This simplified calculator compares load and counterweight mass-radius products about one pivot, using a multiplier and counterweight share you enter.

Wharf Crane Interactive Calculator

Enter load, outreach, dynamic multiplier, assumed counterweight share and counterweight radius. Results are moment comparison only—not a load chart or stability certification.

0°

Load-radius moment
--
Multiplier-scaled moment
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Share-equivalent counterweight mass
--
Unallocated design moment
--

Equation Used

M_s=LR; M_d=D M_s; m_c=f M_d/R_c; M_res=M_d-m_c R_c.
Results use tonne-metres as mass-radius units. The entered share allocates only part of the multiplied moment; no self-weight, overturning axis, wind, acceleration, rope geometry or safety factor is solved.
  • Load and counterweight are represented as point masses at horizontal radii.
  • The dynamic factor and counterweight share are entered assumptions.
  • Results use tonne-metres; mass has not been converted to gravitational force.
  • Boom, machinery and platform self-weight are omitted.
  • Stability, structure, fatigue, wind, slew, braking, rope and foundation checks are omitted.
Same mechanism and inputs as the interactive calculator.

Wharf-Crane Moment comparison

The NASA Glenn torque reference defines moment as force times perpendicular distance. Here the comparison uses mass times radius in tonne-metres. The multiplier and counterweight share are assumptions you supply.

What This Calculator Represents

It compares a load-side moment with an assumed counterweight contribution about one illustrated pivot.

Moment Allocation

M_s=LR
M_d=D M_s
m_c=fM_d/R_c
M_res=(1-f)M_d

D and f are assumptions, not predictions.

Worked Scenario

At 20 t and 64 m, the mass-radius product is 1,280 t-m. An assumed multiplier of 1.5 gives 1,920 t-m. Allocating 40% to a counterweight at 16 m gives 48 t, leaving 1,152 t-m outside that counterweight contribution. These values do not establish crane stability.

Assumptions and Limits

  • Calculated: entered mass-radius products and share allocation.
  • Illustrated: boom, load line, pivot and counterweight arms.
  • Not calculated: rated capacity, stability, structure, ropes, wind, motion, fatigue or safety.

Frequently Asked Questions

Is this a crane load chart?

No.

Is dynamic factor predicted?

No.

Does counterweight share prove stability?

No.

Are boom and platform weights included?

No.

Are tonne-metres force moments?

No. They are mass-radius products. Convert mass to gravitational force to express a force moment in units such as kN·m.

Can this approve a lift?

No.

References

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