Lesson Friday September 13th

# Matplotlib compatibility patch for Pyodide
import matplotlib
if not hasattr(matplotlib.RcParams, "_get"):
    matplotlib.RcParams._get = dict.get

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:

../../_images/cable1.svg

  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:

../../_images/beam3.svg

  1. Find the moment distribution for the beam.

Solution assignment 1 and 2

\({w_{\text{C}}} =\cfrac {1}{18} \approx {\text{0}}{\text{.0556}}{\text{ m}}\) ↓

Solution assignment 3

../../_images/ans.svg

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

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

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