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The analytical calculation of the problem are explained in the following word and pdf document: Word and PDF.  These passages are taken from the isotropic analysis section of "Design, Analysis and Testing of a Formula SAE Carbon Fiber Monocoque Chassis" by Jingsi Wu, Owusu A. Agyeman Badu, and Yongcheng Tai.  

Geometry Specification

One of the beauty of composite material is to customize the ply lay-ups to achieve optimum proeperties according to the needs. It is often the case where different ply lay-ups are used at different monocoque regions for their sepecific needs. This excise have 4 different regions as shown in diagram below:

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