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147 lines
3.5 KiB
Text
147 lines
3.5 KiB
Text
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Deformation limits"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Vertical deformation\n",
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"\n",
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"$w_c$ = precamber \n",
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"$w_1$ = initial deflection under permanent actions \n",
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"$w_2$ = long term deflection under permanent actions (creep) \n",
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"$w_3$ = deflection under variable actions \n",
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"$w_{tot} = w_1 + w_2 + w_3$ \n",
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"$w_{max}= w_{tot}-w_c$ \n",
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"\n",
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"```{figure} Images/Deformation.jpg\n",
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"---\n",
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"scale: 100%\n",
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"---\n",
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"```"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"```{note}\n",
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"As Eurocode does not specify deformation limits, the old limits\n",
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"originating in the Dutch code are used (NEN 6702 Belastingen en vervormingen TGB 1990).\n",
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"```"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"Floors in general $w_3 = 0,003 * l$ \n",
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"Floors carrying non-flexible walls $w_3 = 0,002 * l$ \n",
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"Roofs $w_3 = 0,004 * l$ \n",
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"Maximum deflection $w_{max} = 0,004 * l$ "
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Water accumulation\n",
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"\n",
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"Even if the drainage systems works properly there is a possibility of water accumulation.\n",
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"To prevent this, the roof must be designed stiff enough to ensure the remaining slope of\n",
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"the roof at the lowest support stays positive. It is therefore recommended to design for a minimum slope of 1,6%.\n",
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"\n",
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"```{figure} Images/Water accumulation.jpg\n",
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"---\n",
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"scale: 100%\n",
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"---\n",
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"```\n",
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"\n",
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"```{figure} Images/Water accumulation 2.jpg\n",
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"---\n",
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"scale: 100%\n",
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"---\n",
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"Too large deformations leading to water accumulation and eventually failure.\n",
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"```"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Horzintal deformations\n",
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"\n",
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"As Eurocode does not specify deformation limits, the old limits\n",
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"originating in the Dutch code are used (NEN 6702 Belastingen en\n",
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"vervormingen TGB 1990).\n",
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"\n"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"### Low rise\n",
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"\n",
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"$u <= 1/150*h$ for industrial buildings \n",
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"$u <= 1/300*h$ for other buildings\n",
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"\n",
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"```{figure} Images/Low rise deformation.jpg\n",
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"---\n",
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"scale: 100%\n",
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"---\n",
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"```\n",
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"\n",
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"### High rise\n",
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"\n",
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"$u <= 1/300*h$ for storey height \n",
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"$u <= 1/500*h$ for total height\n",
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"\n",
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"```{figure} Images/High rise deformation.jpg\n",
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"---\n",
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"scale: 100%\n",
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"---\n",
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"```"
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]
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},
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{
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"cell_type": "markdown",
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