Lesson October 9th

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

Lesson October 9th#

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

Exercise Mechanisms and virtual work#

Given the following structure.

../../_images/struc1.svg

  1. Find the vertical support reaction in \(\text{C}\)

  2. Find the bending moment in \(\text{E}\)

  3. Find the shear force just right of \(\text{B}\)

../../_images/struc2.svg

  1. Find the vertical support reaction in \(\text{B}\)

  2. Find the bending moment in \(\text{D}\)

  3. Find the shear force just right of \(\text{S}_1\)

../../_images/struc3.svg

  1. Find the bending moment just above \(\text{C}\)

  2. Find the bending moment just below \(\text{C}\)

Solution assignment 1

\(C_\text{v} = 23.75 \text{ kN} \) (↑)

Solution assignment 2

\(M_\text{E} = 22.5 \text{ kNm} \) (◡)

Solution assignment 3

\(V_\text{B}^\text{BC} = 11.25 \text{ kN} \) (⎽|⎺)

Solution assignment 4

\(B_\text{v} = 72 \text{ kN} \) (↑)

Solution assignment 5

\(M_\text{D} = 144 \text{ kNm} \) (◠)

Solution assignment 6

\(V_{\text{S}_1} = 72 \text{ kN} \) (⎺|⎽)

Solution assignment 7

\(M_\text{C}^\text{CE} = 120 \text{ kNm} \) (ᑐ)

Solution assignment 8

\(M_\text{C}^\text{BC} = 240 \text{ kNm} \) (ᑕ)

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