Sign up for the Dlubal Extranet to get most of the software and have exclusive access to your personal data.

Create Account

90-Day Free Trial

Back to Formulas

40x

000654

2024-10-10

First Element Using Bending Theory According to Kirchhoff

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

;