The integral part of this expression is the first moment of area of the shaded parts of Fig. 3.23(a) about the vertical axis and evaluation of this integral allows the determination of M for any assumed value of £t .

An alternative form of the expression is obtained by multiplying the top and bottom of the expression by 12R using R — d/sr for the numerator, i.e. M = 12

bd2 f£2 1 1 bd3 12 fc2 —/ aeds = — --• —r / 1

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