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46x

000655

2024-09-26

Second Element Using Bending Theory According to Kirchhoff

v_{x} (x) = 5.013 - 5.013 x

m_{x} (x) = \int v_{x} dx + m_{x, 0} = 5.013 x - \frac{5.013}{2} x^{2} + m_{x, 0}

m_{x, C} = m_{x} (1.5) = 9.167 = \int_{0}^{1} 5.013 x - \frac{5.013}{2} x^{2} + m_{x, 0} = {[\frac{5.013}{2} x^{2} - \frac{5.013}{6} x^{3} + m_{x, 0} x]}_{0}^{1} = 1.671 + m_{x, 0}

m_{x, 0} = m_{x} (1)^{+} = 9.167 - 1.671 = 7.496

m_{x} (1) = \frac{m_{x} (1)^{-} + m_{x} (1)^{+}}{2} = \frac{7.511 + 7.496}{2} = 7.503

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