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Tom-van-Woudenberg committed Dec 2, 2024
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1 change: 1 addition & 0 deletions book/_toc.yml
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Expand Up @@ -291,6 +291,7 @@ parts:
- file: week_14/homework_2/copy4
sections:
- file: external/mechanics-BSc/book/stresses_displacements/cross-sectional/shear-force-centre
- file: week_14/session_2/intro
- file: week_14/homework_3/intro
sections:
- file: external/mechanics-BSc/book/continuum/failure/failure
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84 changes: 84 additions & 0 deletions book/week_14/session_2/intro.ipynb
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"```{index} Shear force centre; Class exercise\n",
"```\n",
"\n",
"(lesson14.2)=\n",
"# Lesson December 3rd\n",
"\n",
"During today's lesson you'll work on a complex exercise on the topic of the Shear force centre. Please ask your questions regarding the [homework](homework14.2) as well!\n",
"\n",
"## Exercise Shear force centre\n",
"\n",
"Given is the following structure:\n",
"\n",
"```{figure} intro_data/structure.svg\n",
":align: center\n",
"```\n",
"\n",
"1. Find the relevant cross-sectional properties.\n",
"2. Find the maximum shear stress and its location.\n",
"3. Find the principal stresses at that point and their directions. Draw a square stress element to represent those stresses.\n",
"\n",
"````{admonition} Solution assignment 1\n",
":class: tip, dropdown\n",
"\n",
"```{figure} intro_data/NC.svg\n",
":align: center\n",
"```\n",
"\n",
"- $A = 9020 \\text{ mm}^2$\n",
"- $I_{zz} = 3.72 \\cdot 10^6 \\text{ mm}^4 $\n",
"- $I_t = 364 \\cdot 10^3 \\text{ mm}^4$\n",
"\n",
"````\n",
"\n",
"````{admonition} Solution assignment 2\n",
":class: tip, dropdown\n",
"\n",
"In segment $\\text{AD}$ in grey crosses:\n",
"```{figure} intro_data/max.svg\n",
":align: center\n",
"```\n",
"\n",
"$\\left| \\tau_{\\max} \\right| = 477.6 \\text{ MPa} $\n",
"\n",
"````\n",
"\n",
"````{admonition} Solution assignment 3\n",
":class: tip, dropdown\n",
"\n",
"```{figure} intro_data/max2.svg\n",
":align: center\n",
"```\n",
"\n",
"````\n"
]
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172 changes: 172 additions & 0 deletions book/week_14/session_2/intro_data/SC.svg
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