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Berthing Energy (PIANC)

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

Formula

$$ E = \tfrac{1}{2} M v^2 \cdot C_m \cdot C_e \cdot C_s \cdot C_c $$

Symbol legend

SymbolMeaningUnitSource
$M$Ship displacement masskgloading computer
$v$Approach normal velocitym/spilot observation
$C_m$Added-mass coefficient (water carried with hull)-Vasco Costa
$C_e$Eccentricity factor-berth geometry
$C_s$Fender softness factor-fender curve
$C_c$Berth configuration factor-open vs closed

Sources

  • PIANC WG33 - Guidelines for the Design of Fenders.
  • BS 6349-4.