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2024-10-10

第一个单元 Kirchhoff 弯曲理论

v_{x} (x) = 10.038 - 5.025 x

m_{x} (x) = \int v_{x} dx m_{x, 0} = 10.038 x - \frac{5.025}{2} x^{2} m_{x, 0}

m_{x, C} = m_{x} (0.5) = 4.167 = \int_{0}^{1} 10.038 x - \frac{5.025}{2} x^{2} m_{x, 0} = {[\frac{10.038}{2} x^{2} - \frac{5.025}{6} x^{3} m_{x, 0} x]}_{0}^{1} = 4.182 m_{x, 0}

m_{x, 0} = m_{x} (0) = 4.167 - 4.182 = - 0.015 m_{x} {(1)}^{-} = 10.038 - \frac{5.025}{2} - 0.015 = 7.511

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