26.02.2020

# SHIP STABILITY BOOKLETS — SIMPSON'S RULES

 Author(s) Mahdi Bordbar Publisher Naval Archiecture Notes Date 2007 Pages 29 Format pdf Size 2 Mb D O W N L O A D

A nice collection of the records that will be of great use for the students of the naval architecture. Even though there are so many modern technologies and calculation software available today, the good understanding of the essential naval architecture techniques is a must have for any future naval architect, ship designed and shipbuilder. The Simpson’s Rules are among the most fundamental ones in the naval architecture.

They are still popular due to their simplicity. They are still in wide use for calculating the area of the figure as well as the volume and geometric centers of the spaces confined within the curve and straight line. As we know, there are three basic Simpson’s Rules and the Trapezoidal Rule. When calculating an area, we first choose the equidistant points along that line and then measure the perpendicular distance from each of those points to the curve.

The straight line is called the axis and the measured distances are ordinates. What we do next is that we multiply the ordinates by the numbers chosen from the Simpson’s Multipliers and get the product – as simple as that! In short, this is one of the most effective and simple methods and any naval architect shall know how to apply it.