Abstract In ships and other floating structures calculation of section areas, waterplane areas, volumes and various properties such as first and second moments is commonplace. This leads to the evaluation of integrals of the form seen in the previous Chap. 5 , for example, $$ A = 2\;\int \limits _{x_A }^{x_F } {y(x)\;dx ,} $$ $$ M_x = 2\;\int \limits _{x_A }^{x_F } {x\;y(x)\;dx ,} $$ $$ J_{xx} = 2\;\int \limits _{x_A }^{x_F } {x^2 y(x)\;dx ,} $$ $$ a(x) = 2\;\int \limits _{_0 }^T {y(z, x)\;dz ,} $$ $$ \nabla = \;\int \limits _{x_A }^{x_F } {a(x)\;dx ,} $$ etc.
Numerical Integration Formulæ
Basic Naval Architecture ; 57-66
2018-01-01
10 pages
Article/Chapter (Book)
Electronic Resource
English
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