Lesson October 16th

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

Lesson October 16th#

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

Exercise Displacement method#

Given the following structure. Use the horizontal displacement at \(\text{D}\) as the degree of freedom (→).

../../_images/structure27.svg

  1. Find the relation of the normal force in \(\text{CD}\) in terms of the degree of freedom \(w_\text{D}\).

  2. Solve the value of the degree of freedom.

  3. Find the bending moment distribution.

Solution assignment 1

In terms of the horizontal displacement at \(\text{D}\):

  • \(N_\text{CD} = 45−1500 w_D\)

  • \(N_\text{CD} = 3000 w_D - 11.25\)

Solution assignment 2

\(w_D = 1.25 \text{ cm}\) (→)

Solution assignment 3

../../_images/M-line2.svg
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