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(a) Assuming the slope of the bend w’ (2:) is very small, |w’ | << 1, write M / EI as a power series in terms
of w’ . Write down the first three terms. By truncating the second term and after in the series, showr
that M / EI is approximated as a well-known relation £~_d2_w
E1” dmfl' This relation is practically used in engineering when calculating the displacement shape.

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