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"## Isolated Pad foundation example using the FoundationDesign module in python"
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"source": [
"### This example is contained in Reinforced concrete design to eurocodes by Prab Bhatt ,Thomas J. MacGinley and Ban Seng Choo 4TH EDITION\n",
"Example of Design of an Axially Loaded Base section 11.4.2.1 page 443 \n"
]
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"source": [
"### Problem statement"
]
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"source": [
""
]
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"source": [
"We start by importing the padfoundation class from the foundationdesign module"
]
},
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"execution_count": null,
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"outputs": [],
"source": [
"# RUN THIS CELL FIRST TO INITIALISE GOOGLE NOTEBOOK!!!!\n",
"!pip install FoundationDesign"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"from FoundationDesign import PadFoundation,padFoundationDesign"
]
},
{
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"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"# Create the pad foundation object\n",
"# Since the foundation is concentric the column position in x and y direction is foundation length and width divided by two\n",
"fdn = PadFoundation(\n",
" foundation_length=2500,\n",
" foundation_width=2500,\n",
" column_length=400,\n",
" column_width=400,\n",
" col_pos_xdir=1250,\n",
" col_pos_ydir=1250,\n",
" soil_bearing_capacity=200,\n",
")"
]
},
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"source": [
"#### Display the foundation geometry"
]
},
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"metadata": {},
"source": [
"#### Assign dead and imposed loads"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"fdn.column_axial_loads(permanent_axial_load=800,imposed_axial_load=300)"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Assign foundation loads needed to calculate the self weight of the soil and the concrete"
]
},
{
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"execution_count": 5,
"metadata": {},
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"The self weight of concrete is 15.6kN/m² while the soil weight is 0.0kN/m²\n"
]
}
],
"source": [
"#since this example doesnt include the depth of soil above the foundation it is set to zero. The initial depth is set to 300\n",
"#this can be changed easily if the foundation fails shear and punching shear checks\n",
"z = fdn.foundation_loads(foundation_thickness=650,soil_depth_abv_foundation=0,soil_unit_weight=18,concrete_unit_weight=24)\n",
"print(f'The self weight of concrete is {z[0]}kN/m\\u00b2 while the soil weight is {z[1]}kN/m\\u00b2')"
]
},
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"attachments": {},
"cell_type": "markdown",
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"source": [
"#### Check the base pressure at the foundation four corners"
]
},
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"name": "stdout",
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"print(z)"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Check the foundation soil pressure at serviceability limit state to ensure the foundation sizing is adequate\n"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
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"data": {
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"'PASS - Presumed bearing capacity exceeds design base pressure'"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
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],
"source": [
"fdn.bearing_pressure_check_sls()['status']\n",
"#This shpws that the foundation size is adequate"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Check the minimum area required for the pad foundation"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The minimum area requried for the pad foundation is 6.003m²\n"
]
}
],
"source": [
"# This method is can be called immediately after all the loads have been updated. This method will give the user the idea\n",
"# of the minimum area needed for the pad foundation. With this information the user can then decide either to use the area as a square or rectangular\n",
"# foundation\n",
"area = fdn.minimum_area_required()\n",
"print(f'The minimum area requried for the pad foundation is {area}m\\u00b2')\n",
"# The required area in this case is 10.24m2 meaning this foundation can be redesigned using a dimension of 2.45m"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Show the base pressures"
]
},
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"paper_bgcolor": "white",
"plot_bgcolor": "#E5ECF6",
"polar": {
"angularaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"radialaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"scene": {
"xaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"yaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"zaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
}
},
"shapedefaults": {
"line": {
"color": "#2a3f5f"
}
},
"ternary": {
"aaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"baxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"caxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"title": {
"x": 0.05
},
"xaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
},
"yaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
}
}
},
"title": {
"font": {
"size": 30
},
"text": "Shear Force Plot"
},
"xaxis": {
"title": {
"text": "Foundation width"
}
},
"yaxis": {
"title": {
"text": "Shear Force (N)"
}
}
}
}
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fdn_design.plot_shear_force_Y()"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Show the reinforcement area required along the x axis"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The area of steel required in the x direction is 907mm²/m\n"
]
}
],
"source": [
"z = fdn_design.area_of_steel_reqd_X_dir()['area_required_per_m']\n",
"print(f'The area of steel required in the x direction is {z}mm\\u00b2/m')"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Show the reinforcement area required along the y axis"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The area of steel required in the Y direction is 883mm²/m\n"
]
}
],
"source": [
"z = fdn_design.area_of_steel_reqd_Y_dir()['area_required_per_m']\n",
"print(f'The area of steel required in the Y direction is {z}mm\\u00b2/m')"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Show the reinforcement area provided along the x axis"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'Provide H16mm bars spaced at 200.0mm c/c bottom. The area provided is 1005mm²/m parallel to the 2.5m side'"
]
},
"execution_count": 31,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fdn_design.reinforcement_provision_flexure_X_dir()['status']"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Show the reinforcement area provided along the y axis"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'Provide H12mm bars spaced at 125.0mm c/c bottom. The area provided is 905mm²/m parallel to the 2.5m side'"
]
},
"execution_count": 32,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fdn_design.reinforcement_provision_flexure_Y_dir()['status']"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Check for transverse shear along Y direction"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'The design shear resistance of 570.395kN exceeds the design shear force of 274.176kN - PASS!!!'"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fdn_design.tranverse_shear_check_Xdir()['status']"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Check for transverse shear along Y direction"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'The design shear resistance of 574.91kN exceeds the design shear force of 283.968kN - PASS!!!'"
]
},
"execution_count": 34,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fdn_design.tranverse_shear_check_Ydir()['status']"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Check for Punching shear at the column face"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'The maximum punching shear resistance of 4.488N/mm² exceeds the design punching shear stress of 1.61N/mm² - PASS!!!'"
]
},
"execution_count": 35,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fdn_design.punching_shear_column_face()['status']"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Check for Punching shear at 1d from column face"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'The maximum punching shear resistance of 0.762N/mm² exceeds the design punching shear stress of 0.312N/mm² - PASS!!!'"
]
},
"execution_count": 36,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fdn_design.punching_shear_check_1d()['status']"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Check for Punching shear at 2d from column face"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'The maximum punching shear resistance of 0.381N/mm² exceeds the design punching shear stress of -0.011N/mm² - PASS!!!'"
]
},
"execution_count": 37,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fdn_design.punching_shear_check_2d()['status']"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"' The allowable sliding resistance 327kN is greater than the actual horizontal loads 0kN Status - PASS!!!'"
]
},
"execution_count": 38,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fdn_design.sliding_resistance_check()['status']"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": ".venv",
"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": "3.10.4"
},
"orig_nbformat": 4
},
"nbformat": 4,
"nbformat_minor": 2
}