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Berthing Energy (PIANC)

Kinetic energy to be absorbed by fenders: E = ½·M·v²·Cm·Ce·Cs·Cc (PIANC WG33 / BS 6349-4).

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Formula, assumptions, and limits

E=12Mv2CmCeCsCcE = \tfrac{1}{2} M v^2 \cdot C_m \cdot C_e \cdot C_s \cdot C_c
SymbolMeaningUnit
MMShip displacement masskg
vvApproach normal velocitym/s
CmC_mAdded-mass coefficient (water carried with hull)
CeC_eEccentricity factor
CsC_sFender softness factor
CcC_cBerth configuration factor

Source: PIANC WG33 - Guidelines for the Design of Fenders; BS 6349-4

In short

Kinetic energy to be absorbed by fenders: E = \u00bd\u00b7M\u00b7v\u00b2\u00b7Cm\u00b7Ce\u00b7Cs\u00b7Cc (PIANC WG33 / BS 6349-4).

Learn the theory Berthing Operations and Fender Selection