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5x

001577

2024-09-10

Determination of Extreme Value of Bending Moment

Determination of Extreme Value of Bending Moment

M (x) = \frac{1}{1 - \frac{N}{N_{cr}}} \cdot N \cdot e_{0} \cdot \sin (\frac{π \cdot x}{L})

M^{'} (x) = \frac{π}{L} \cdot \frac{1}{1 - \frac{N}{N_{cr}}} \cdot N \cdot e_{0} \cdot \cos (\frac{π \cdot x}{L}) = 0

\cos (\frac{π \cdot x}{L}) = 0 = > x = 0

M (x = 0) = \frac{1}{1 - \frac{N}{N_{cr}}} \cdot N \cdot e_{0} = M_{max}

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