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{ | ||
"cells": [ | ||
{ | ||
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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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