Lesson November 15th

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

Lesson November 15th#

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

Exercise Cross-sectional properties#

Given is the following cross-section:

../../_images/cs1.svg

  1. Find the normal force centre

  2. Find the second moment of area \(I_\text{zz}\)

Solution assignment 1

../../_images/cs1_NC.svg

Solution assignment 2

\(I_\text{zz} = 61.2 \cdot 10^6 \text{ mm}^4\)

Given is the following cross-section:

../../_images/cs2.svg

  1. Find the normal force centre

  2. Find the second moment of area \(I_\text{zz}\)

Solution assignment 3

../../_images/cs2_NC.svg

Solution assignment 4

\(I_\text{zz} = 685.3 \cdot 10^6 \text{ mm}^4\)

Given is the following cross-section:

../../_images/cs3.svg

  1. Find the normal force centre

  2. Find the second moment of area \(I_\text{zz}\)

Solution assignment 5

../../_images/cs3_NC.svg

Solution assignment 6

\(I_\text{zz} = 24.82 \cdot 10^9 \text{ mm}^4\)

Given is the following cross-section:

../../_images/cs4.svg

  1. Find the normal force centre

  2. Find the second moment of area \(I_\text{zz}\)

Solution assignment 7

../../_images/cs4_NC.svg

Solution assignment 8

\(I_\text{zz} = 4.95 \cdot 10^6 \text{ mm}^4\)

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