5003 Lectures - Faculty of Engineering and Applied Science

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E5003 - Ship Structures I 62 © C.G. Daley The overall neutral axis (NA) is found by equating 2 expressions for the 1 st moment of area; A hNA = Σ ai hi The total area A is just the sum of areas. A = Σ ai This gives; hNA = Σ ai hi / Σ ai = (a1 h1 + a2 h2)/(a1+a2) The overall NA goes through the centroid of the compound area. Moment of Inertia Calculation Izz = Σ ai hi 2 + Σ Inai INA = Izz - A hNA 2 or INA = Σ(Inai + ai (hi - hNA) 2) Izz = Ina + a c 2 A simple spreadsheet, as shown below, can be used to find the moment of inertia of a ship;
E5003 - Ship Structures I 63 © C.G. Daley See Assignment #2 for an application. Section Modulus for Material Combinations (e.g. Steel Hull, Al Superstructure) Consider a section with 2 materials When the section bends the sections remain plane, meaning that the strain field is linear.
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5003 Lectures - Faculty of Engineering and Applied Science

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