Revert "test"

This reverts commit a623e86.

book/_config.yml

@@ -39,10 +39,6 @@ sphinx:
       chtml: {
         mtextInheritFont: true # To typeset text within math prettier
       }
-    nb_custom_formats:
-      .py:
-        - jupytext.reads
-        - fmt: py
   local_extensions:
     apastyle: _ext/
     bracket_citation_style: _ext/

book/week_13/session_1/intro.ipynb

@@ -0,0 +1,154 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "```{index} Transformations; Class exercise using analytical formulas\n",
+    "```\n",
+    "\n",
+    "(lesson13.1)=\n",
+    "# Lesson November 25th\n",
+    "\n",
+    "During today's lesson you'll work on a complex exercise on the topic of the Transforming tensors. Please ask your questions regarding the [homework](homework13.1) as well!\n",
+    "\n",
+    "## Exercise Transforming tensors\n",
+    "\n",
+    "Given is the following structure and cross-section:\n",
+    "\n",
+    "```{figure} intro_data/structure.svg\n",
+    ":align: center\n",
+    "```\n",
+    "\n",
+    "1. Find the relevant cross-sectional properties.\n",
+    "2. Find the normal and shear stresses just below $\\text{G}$, in $\\text{H}$, in $\\text{I}$ and just right of $\\text{C}$ in cross-section $\\text{A}$.\n",
+    "3. Find the principal values of the stresses in the points just below $\\text{G}$, in $\\text{H}$, in $\\text{I}$ and just right of $\\text{C}$ in cross-section $\\text{A}$.\n",
+    "\n",
+    "````{admonition} Solution assignment 1\n",
+    ":class: tip, dropdown\n",
+    "\n",
+    "Normal force centre is given by:\n",
+    "```{figure} intro_data/NC.svg\n",
+    ":align: center\n",
+    "```\n",
+    "\n",
+    "- $A \\approx  17500 \\text{ mm}^2$\n",
+    "- $I_{zz} \\approx 655 \\cdot 10^6 \\text{ mm}^4$\n",
+    "\n",
+    "````\n",
+    "\n",
+    "````{admonition} Solution assignment 2\n",
+    ":class: tip, dropdown\n",
+    "\n",
+    "- $\\sigma_\\text{just below G} = +6.73 \\text{ MPa}$\n",
+    "- $\\tau_\\text{just below G} = +0.164 \\text{ MPa}$\n",
+    "- $\\sigma_\\text{H} = +6.73 \\text{ MPa}$\n",
+    "- $\\tau_\\text{H} = 0 \\text{ MPa}$\n",
+    "- $\\sigma_\\text{I} = -2 \\text{ MPa}$\n",
+    "- $\\tau_\\text{I} = +0.35 \\text{ MPa}$\n",
+    "- $\\sigma_\\text{just right of C} = -8.53 \\text{ MPa}$\n",
+    "- $\\tau_\\text{just right of C} = -0.12 \\text{ MPa}$\n",
+    "\n",
+    "````\n",
+    "\n",
+    "````{admonition} Solution assignment 3\n",
+    ":class: tip, dropdown\n",
+    "\n",
+    "- $\\sigma_\\text{1, just below G} = +6.73 \\text{ MPa}$\n",
+    "- $\\sigma_\\text{2, just below G} = -0.0040 \\text{ MPa}$\n",
+    "- $\\sigma_\\text{1, H} = +6.73 \\text{ MPa}$\n",
+    "- $\\sigma_\\text{2, H} = 0 \\text{ MPa}$\n",
+    "- $\\sigma_\\text{1, I} = 0.59 \\text{ MPa}$\n",
+    "- $\\sigma_\\text{2, I} = -2.06 \\text{ MPa}$\n",
+    "- $\\sigma_\\text{1, just right of C} = 0.0018 \\text{ MPa}$\n",
+    "- $\\sigma_\\text{2, just right of C} = -8.5 \\text{ MPa}$\n",
+    "\n",
+    "````"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {
+    "tags": [
+     "remove-cell"
+    ]
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "0.16374045801526718\n",
+      "-0.12251908396946565\n",
+      "6.733981439187675 -0.0039814391876737965\n",
+      "6.73 0.0\n",
+      "0.059481005020854516 -2.0594810050208547\n",
+      "0.0017594173959141202 -8.531759417395914\n"
+     ]
+    }
+   ],
+   "source": [
+    "Izz = 655e6\n",
+    "\n",
+    "tau_G = -3e3 * -250*10*286 / 20 / Izz\n",
+    "print(tau_G)\n",
+    "\n",
+    "tau_C = -3e3 * -250*20*(286-500) / 40 / Izz\n",
+    "print(tau_C)\n",
+    "\n",
+    "sigma_G = +6.73\n",
+    "tau_G = -tau_G\n",
+    "sigma_G_1 = 1/2 * (sigma_G + 0) + ((1/2 * (sigma_G + 0))**2 + tau_G**2)**0.5\n",
+    "sigma_G_2 = 1/2 * (sigma_G + 0) - ((1/2 * (sigma_G + 0))**2 + tau_G**2)**0.5\n",
+    "print(sigma_G_1, sigma_G_2)\n",
+    "\n",
+    "sigma_H = +6.73\n",
+    "tau_G = 0\n",
+    "sigma_H_1 = 1/2 * (sigma_H + 0) + ((1/2 * (sigma_H + 0))**2 + tau_G**2)**0.5\n",
+    "sigma_H_2 = 1/2 * (sigma_H + 0) - ((1/2 * (sigma_H + 0))**2 + tau_G**2)**0.5\n",
+    "print(sigma_H_1, sigma_H_2)\n",
+    "\n",
+    "sigma_I = -2\n",
+    "tau_I = +0.35\n",
+    "sigma_I_1 = 1/2 * (sigma_I + 0) + ((1/2 * (sigma_I + 0))**2 + tau_I**2)**0.5\n",
+    "sigma_I_2 = 1/2 * (sigma_I + 0) - ((1/2 * (sigma_I + 0))**2 + tau_I**2)**0.5\n",
+    "print(sigma_I_1, sigma_I_2)\n",
+    "\n",
+    "sigma_C = -8.53\n",
+    "tau_C = -tau_C\n",
+    "sigma_C_1 = 1/2 * (sigma_C + 0) + ((1/2 * (sigma_C))**2 + tau_C**2)**0.5\n",
+    "sigma_C_2 = 1/2 * (sigma_C + 0) - ((1/2 * (sigma_C))**2 + tau_C**2)**0.5\n",
+    "print(sigma_C_1, sigma_C_2)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "base",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.9.18"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}