Simpson's Rules (Ship Stability)

Simpson's rules are a set of rules used in ship stability and naval architecture, to calculate the areas and volumes of irregular figures.

Also known as the 1-4-1 rule (after the multipliers used ).

${\displaystyle Area={\frac {h}{3}}(a+4b+c)}$

Also known as the 1-3-3-1 rule, Simpson's second rule is a simplified version of Simpson's 3/8 rule.

${\displaystyle Area={\frac {3h}{8}}(a+3b+3c+d)}$

Also known as the 5 - 8 -1 rule

${\displaystyle Area={\frac {h}{12}}(5a+8b-c)}$

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