diff --git "a/data/examples/Eccentric_Footing_Example.ipynb" "b/data/examples/Eccentric_Footing_Example.ipynb" new file mode 100644--- /dev/null +++ "b/data/examples/Eccentric_Footing_Example.ipynb" @@ -0,0 +1,12237 @@ +{ + "cells": [ + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## ECCENTRIC PAD FOUNDATION DESIGN IN ACCORDANCE TO EUROCODE 2" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "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 a Eccentrically Loaded Base section 11.5.3.1 page 450" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### PROBLEM STATEMENT" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "![title](https://github.com/kunle009/FoundationDesign/blob/main/assets/prab-bhatt-example-eccentrically-loaded-footing.png?raw=true)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Import the PadFoundation and padFoundationDesign classes from the foundationdesign module needed to effectively analyse and design the foundation" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "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 padFoundationDesign, PadFoundation" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "# Create the pad foundation object\n", + "# Since the column is centrally placed the column position in x and y direction is the foundation length and width divided by two\n", + "# The column position in x and y direction should be verified anytime the foundation length and width is updated\n", + "fdn = PadFoundation(\n", + " foundation_length=3600,\n", + " foundation_width=3000,\n", + " column_length=450,\n", + " column_width=450,\n", + " col_pos_xdir=1800,\n", + " col_pos_ydir=1500,\n", + " soil_bearing_capacity=150,\n", + ")\n" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Display the foundation geometry" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + 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"zerolinecolor": "white", + "zerolinewidth": 2 + }, + "yaxis": { + "automargin": true, + "gridcolor": "white", + "linecolor": "white", + "ticks": "", + "title": { + "standoff": 15 + }, + "zerolinecolor": "white", + "zerolinewidth": 2 + } + } + }, + "title": { + "text": "FOOTING PLAN" + }, + "width": 500 + } + } + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fdn.plot_geometry()" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Assign Loads to the foundation" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The self weight of concrete is 13.2kN/m² while the soil weight is 0.0kN/m²\n" + ] + } + ], + "source": [ + "# Assigning extra details about the foundation needed to calculate the soil weigth on the foundation and the concrete own load\n", + "# In this example, the soil above is not specified. Therefore the soil depth above foundation is assigned explicitly to zero\n", + "z = fdn.foundation_loads(\n", + " foundation_thickness=550,\n", + " soil_depth_abv_foundation=0,\n", + " soil_unit_weight=18,\n", + " concrete_unit_weight=24,\n", + ")\n", + "print(\n", + " f\"The self weight of concrete is {z[0]}kN/m\\u00b2 while the soil weight is {z[1]}kN/m\\u00b2\"\n", + ")\n" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "# Assign the column axial loads\n", + "fdn.column_axial_loads(permanent_axial_load=770, imposed_axial_load=330)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "# Assign the column horizontal loads in x direction\n", + "fdn.column_horizontal_loads_xdir(\n", + " permanent_horizontal_load_xdir=35, imposed_horizontal_load_xdir=15\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "# Assign column moments in the x direction\n", + "fdn.column_moments_xdir(permanent_moment_xdir=78, imposed_moment_xdir=34)" + ] + }, + { + "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 10.24m²\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 3.2m" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Check the total Moments in the foundation using the sls limit state" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The total moments on the foundation in x direction is 2376.108 kNm\n" + ] + } + ], + "source": [ + "# Check the total foundation moments in sls\n", + "f = fdn.total_moments_X_direction_sls()\n", + "print(f\"The total moments on the foundation in x direction is {f} kNm\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The total moments on the foundation in Y direction is 1863.84 kNm\n" + ] + } + ], + "source": [ + "# Check the total foundation moments in sls\n", + "f = fdn.total_moments_Y_direction_sls()\n", + "print(f\"The total moments on the foundation in Y direction is {f} kNm\")\n" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Check the foundation eccentricity at SLS" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The eccentricity of the foundation in the x direction is 112mm at SLS\n" + ] + } + ], + "source": [ + "# Eccentricity in x direction at sls\n", + "ex = fdn.eccentricity_X_direction_sls()\n", + "print(\n", + " f\"The eccentricity of the foundation in the x direction is {ex}mm at SLS\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The eccentricity of the foundation in the y direction is 0mm at SLS\n" + ] + } + ], + "source": [ + "# Eccentricity in y direction at sls\n", + "ey = fdn.eccentricity_Y_direction_sls()\n", + "print(\n", + " f\"The eccentricity of the foundation in the y direction is {ey}mm at SLS\")\n" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### BEARING CAPACITY CHECK" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(93.576, 93.576, 136.528, 136.528)\n" + ] + } + ], + "source": [ + "# The bearing pressure of the foundation at all corners of the foundation can be gotten\n", + "pres = fdn.pad_base_pressures_sls()\n", + "print(pres)\n" + ] + }, + { + "cell_type": "code", + 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"output_type": "display_data" + } + ], + "source": [ + "# Plot the shear force of the foundation in the Y direction\n", + "fdn_design.plot_shear_force_Y()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The foundation design bending moment along the x direction is 607.861kNm\n", + "The foundation design bending moment along the y direction is 415.754kNm\n", + "The foundation design shear force along the x direction is 520.616kN\n", + "The foundation design shear force along the y direction is 398.459kN\n" + ] + } + ], + "source": [ + "# Obtain the foundation design moments and shear force\n", + "bmx = fdn_design.get_design_moment_X()\n", + "bmy = fdn_design.get_design_moment_Y()\n", + "sfx = fdn_design.get_design_shear_force_X()\n", + "sfy = fdn_design.get_design_shear_force_Y()\n", + "print(\n", + " f\"The foundation design bending moment along the x direction is {bmx}kNm\")\n", + "print(\n", + " f\"The foundation design bending moment along the y direction is {bmy}kNm\")\n", + "print(f\"The foundation design shear force along the x direction is {sfx}kN\")\n", + "print(f\"The foundation design shear force along the y direction is {sfy}kN\")\n" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### CHECK REINFORCEMENTS REQUIREMENTS AND PROVISIONS" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The area of steel required is 958mm² along X direction\n" + ] + } + ], + "source": [ + "# Check the area of steel required along x direction\n", + "steel_areaX = fdn_design.area_of_steel_reqd_X_dir()\n", + "print(f\"The area of steel required is {steel_areaX}mm\\u00b2 along X direction\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The area of steel required is 958mm² along X direction\n" + ] + } + ], + "source": [ + "# Check the area of steel required along y direction\n", + "steel_areaX = fdn_design.area_of_steel_reqd_X_dir()\n", + "print(f\"The area of steel required is {steel_areaX}mm\\u00b2 along X direction\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'Provide H16mm bars spaced at 200.0mm c/c bottom. The area provided is 1005mm²/m parallel to the 3.6m side'" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Check the area of steel provided along the x direction\n", + "fdn_design.reinforcement_provision_flexure_X_dir()['status']\n" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'Provide H12mm bars spaced at 150.0mm c/c bottom. The area provided is 754mm²/m parallel to the 3.6m side'" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Check the area of steel provided along the Y direction\n", + "fdn_design.reinforcement_provision_flexure_Y_dir()['status']" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### CHECK THE ADEQUACY OF THE FOUNDATION AGAINST SHEAR, PUNCHING AND SLIDING" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'The design shear resistance of 609.792kN exceeds the design shear force of 520.616kN - PASS!!!'" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Transverse shear check along x direction\n", + "fdn_design.tranverse_shear_check_Xdir()['status']" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'The design shear resistance of 739.123kN exceeds the design shear force of 398.459kN - PASS!!!'" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Transverse shear check along y direction\n", + "fdn_design.tranverse_shear_check_Ydir()['status']" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'The maximum punching shear resistance of 4.488N/mm² exceeds the design punching shear stress of 1.691N/mm² - PASS!!!'" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Punching shear check at the face of the column\n", + "fdn_design.punching_shear_column_face()['status']" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'The maximum punching shear resistance of 0.798N/mm² exceeds the design punching shear stress of 0.588N/mm² - PASS!!!'" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Punching shear check at 1d from face of the column\n", + "fdn_design.punching_shear_check_1d()['status']" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'The maximum punching shear resistance of 0.399N/mm² exceeds the design punching shear stress of 0.222N/mm² - PASS!!!'" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Punching shear check at 2d from face of the column\n", + "fdn_design.punching_shear_check_2d()['status']" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "' The allowable sliding resistance 332kN is greater than the actual horizontal loads 70kN Status - PASS!!!'" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "fdn_design.sliding_resistance_check()['status']" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3.9.7 64-bit", + "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, + "vscode": { + "interpreter": { + "hash": "f6246b25e200e4c5124e3e61789ac81350562f0761bbcf92ad9e48654207659c" + } + } + }, + "nbformat": 4, + "nbformat_minor": 2 +}