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Lesson Friday September 13th

During today’s lesson you’ll work on a complex exercise on the topic of Equilibrium relations and cables. Please ask your questions regarding the homework as well!

Exercise Equilibrium relations and cables

Given is the following structure:

  1. Find the displacement halfway using equilibrium in a specific cross-section
  2. Find the displacement halfway using the differential equations

Given is the following structure:

  1. Find the moment distribution for the beam.
Solution assignment 1 and 2

wC=118≈0.0556 m{w_{\rm{C}}} =\cfrac {1}{18} \approx {\rm{0}}{\rm{.0556}}{\text{ m}} ↓

Solution assignment 3

MBC(xBC)=−30xBC (kNm)M_\text{BC}\left(x_\text{BC}\right) = - 30 x_\text{BC} \text{ } \left( \text{kNm} \right)

MCA(xCA)=−512xCA3−60.0xCA−120 (kNm)M_\text{CA}\left(x_\text{CA}\right) = - \cfrac{5}{12} x_\text{CA}^{3} - 60.0 x_\text{CA} - 120 \text{ } \left( \text{kNm} \right)

Activities
... using differential equations
Activities
Week 3 (September 16th)