{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# ✅RC section mesh" ] }, { "cell_type": "raw", "metadata": { "raw_mimetype": "text/restructuredtext", "tags": [] }, "source": [ "Here we regard the RC section as a single-material section, ignoring the different material properties of steel bars and concrete." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2023-05-06T12:30:08.206071Z", "iopub.status.busy": "2023-05-06T12:30:08.206071Z", "iopub.status.idle": "2023-05-06T12:30:09.080017Z", "shell.execute_reply": "2023-05-06T12:30:09.080017Z", "shell.execute_reply.started": "2023-05-06T12:30:08.206071Z" }, "tags": [] }, "outputs": [], "source": [ "import numpy as np\n", "import openseespy.opensees as ops\n", "import opstool as opst" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Generate geometric objects" ] }, { "cell_type": "raw", "metadata": { "raw_mimetype": "text/restructuredtext", "tags": [] }, "source": [ "Functions: :py:func:`~opstool.preprocessing.offset` and :py:func:`~opstool.preprocessing.add_polygon` are used." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2023-05-06T12:30:09.080017Z", "iopub.status.busy": "2023-05-06T12:30:09.080017Z", "iopub.status.idle": "2023-05-06T12:30:09.097767Z", "shell.execute_reply": "2023-05-06T12:30:09.094807Z", "shell.execute_reply.started": "2023-05-06T12:30:09.080017Z" }, "tags": [] }, "outputs": [], "source": [ "# the points of the outer contour line, only the turning point of the line is needed, counterclockwise or clockwise.\n", "outlines = [[0.5, 0], [7.5, 0], [8, 0.5], [8, 4.5],\n", " [7.5, 5], [0.5, 5], [0, 4.5], [0, 0.5]]\n", "# cover thick\n", "cover_d = 0.08\n", "# Offset to get the inner boundary of the cover layer\n", "coverlines = opst.offset(outlines, d=cover_d)\n", "\n", "# Generate polygonal geometry object for cover layer\n", "cover = opst.add_polygon(outlines, holes=[coverlines])\n", "\n", "# Creating core with voids\n", "holelines1 = [[1, 1], [3.5, 1], [3.5, 4], [1, 4]]\n", "holelines2 = [[4.5, 1], [7, 1], [7, 4], [4.5, 4]]\n", "core = opst.add_polygon(coverlines, holes=[holelines1, holelines2])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Generate mesh" ] }, { "cell_type": "raw", "metadata": { "raw_mimetype": "text/restructuredtext", "tags": [] }, "source": [ "by class :py:class:`~opstool.preprocessing.SecMesh`." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2023-05-06T12:30:09.098767Z", "iopub.status.busy": "2023-05-06T12:30:09.098767Z", "iopub.status.idle": "2023-05-06T12:30:09.158565Z", "shell.execute_reply": "2023-05-06T12:30:09.158565Z", "shell.execute_reply.started": "2023-05-06T12:30:09.098767Z" }, "tags": [] }, "outputs": [], "source": [ "sec = opst.SecMesh(sec_name=\"My Fiber Section\")\n", "# Grouping, the dict key is the group name, which can be arbitrary.\n", "sec.assign_group({\"cover\": cover, \"core\":core})\n", "# Specify the mesh size\n", "sec.assign_mesh_size(dict(cover=0.2, core=0.4))\n", "# Specify the region color\n", "sec.assign_group_color(dict(cover=\"gray\", core=\"green\"))\n", "# Specify the material tag in the opensees, the material needs to be defined by you beforehand.\n", "ops.uniaxialMaterial('Concrete01', 1, -30, -0.002, -15, -0.005)\n", "ops.uniaxialMaterial('Concrete01', 2, -40, -0.006, -30, -0.015)\n", "sec.assign_ops_matTag(dict(cover=1, core=2))\n", "# mesh!\n", "sec.mesh()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## add rebars" ] }, { "cell_type": "raw", "metadata": { "raw_mimetype": "text/restructuredtext", "tags": [] }, "source": [ "by class :py:class:`~opstool.preprocessing.Rebars`." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2023-05-06T12:30:09.158565Z", "iopub.status.busy": "2023-05-06T12:30:09.158565Z", "iopub.status.idle": "2023-05-06T12:30:09.174609Z", "shell.execute_reply": "2023-05-06T12:30:09.174229Z", "shell.execute_reply.started": "2023-05-06T12:30:09.158565Z" }, "tags": [] }, "outputs": [], "source": [ "ops.uniaxialMaterial('Steel01', 3, 200, 2.E5, 0.02)\n", "# Instantiating the rebar class\n", "rebars = opst.Rebars()\n", "\n", "rebar_d_outer = 0.032 # dia of rebar\n", "rebar_d_inner = 0.02\n", "# Offset to obtain the rebars arranged along the contour line, Inward offset is positive\n", "rebar_lines1 = opst.offset(outlines, d=cover_d + rebar_d_outer / 2)\n", "# add the rebar line, gap is the spacing of the rebars, matTag is the opensees material tag predefined.\n", "rebars.add_rebar_line(\n", " points=rebar_lines1, dia=rebar_d_outer, gap=0.15, color=\"red\", matTag=3\n", ")\n", "# Offset to obtain the rebars arranged along the holes\n", "rebar_lines2 = opst.offset(holelines1, d=-(cover_d + rebar_d_inner / 2))\n", "rebars.add_rebar_line(\n", " points=rebar_lines2, dia=rebar_d_inner, gap=0.2, color=\"black\", matTag=3\n", ")\n", "rebar_lines3 = opst.offset(holelines2, d=-(cover_d + rebar_d_inner / 2))\n", "rebars.add_rebar_line(\n", " points=rebar_lines3, dia=rebar_d_inner, gap=0.2, color=\"black\", matTag=3\n", ")\n", "# ---------------------------\n", "# add rebars to the sec\n", "sec.add_rebars(rebars)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Get the section properties" ] }, { "cell_type": "raw", "metadata": { "raw_mimetype": "text/restructuredtext", "tags": [] }, "source": [ "section props dict by method :py:meth:`~opstool.preprocessing.SecMesh.get_sec_props`, including:\n", "\n", " * Cross-sectional area (A)\n", " * Shear area (Asy, Asz)\n", " * Elastic centroid (centroid)\n", " * Second moments of area about the centroidal axis (Iy, Iz, Iyz)\n", " * Elastic section moduli about the centroidal axis with respect to the top and bottom fibres (Wyt, Wyb, Wzt, Wzb)\n", " * Torsion constant (J)\n", " * Principal axis angle (phi)\n", " * Section mass (mass), only true if material density is defined, otherwise geometric area (mass density is 1)\n", " * ratio of reinforcement (rho_rebar)\n", "\n", "If you need a faster calculation of section properties, you can use method :py:meth:`~opstool.preprocessing.SecMesh.get_frame_props`,\n", "except that the shear area cannot be calculated." ] }, { "cell_type": "raw", "metadata": { "raw_mimetype": "text/restructuredtext", "tags": [] }, "source": [ ".. tip:: \n", " Since the finite element method is used to calculate the section properties by ``sectionproperties`` pacakge,\n", " the calculation may be a bit slow, which can be ignored if there is no need to calculate the section properties." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2023-05-06T12:30:09.175472Z", "iopub.status.busy": "2023-05-06T12:30:09.175472Z", "iopub.status.idle": "2023-05-06T12:30:12.283048Z", "shell.execute_reply": "2023-05-06T12:30:12.283048Z", "shell.execute_reply.started": "2023-05-06T12:30:09.175472Z" }, "tags": [] }, "outputs": [ { "data": { "text/html": [ "
Section Properties \n", "┏━━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓\n", "┃ Symbol ┃ Value ┃ Definition ┃\n", "┡━━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┩\n", "│ A │ 2.450E+01 │ Cross-sectional area │\n", "│ Asy │ 1.400E+01 │ Shear area y-axis │\n", "│ Asz │ 1.215E+01 │ Shear area z-axis │\n", "│ centroid │ (4.000E+00, 2.500E+00) │ Elastic centroid │\n", "│ Iy │ 6.935E+01 │ Moment of inertia y-axis │\n", "│ Iz │ 1.522E+02 │ Moment of inertia z-axis │\n", "│ Iyz │ -3.126E-13 │ Product of inertia │\n", "│ Wyt │ 2.774E+01 │ Section moduli of top fibres y-axis │\n", "│ Wyb │ 2.774E+01 │ Section moduli of bottom fibres y-axis │\n", "│ Wzt │ 3.806E+01 │ Section moduli of top fibres z-axis │\n", "│ Wzb │ 3.806E+01 │ Section moduli of bottom fibres z-axis │\n", "│ J │ 1.584E+02 │ Torsion constant │\n", "│ phi │ -9.000E+01 │ Principal axis angle │\n", "│ mass │ 2.450E+01 │ Section mass │\n", "│ rho_rebar │ 6.747E-03 │ Ratio of reinforcement │\n", "└───────────┴────────────────────────┴────────────────────────────────────────┘\n", "\n" ], "text/plain": [ "\u001b[3m Section Properties \u001b[0m\n", "┏━━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓\n", "┃\u001b[1m \u001b[0m\u001b[1mSymbol \u001b[0m\u001b[1m \u001b[0m┃\u001b[1m \u001b[0m\u001b[1mValue \u001b[0m\u001b[1m \u001b[0m┃\u001b[1m \u001b[0m\u001b[1mDefinition \u001b[0m\u001b[1m \u001b[0m┃\n", "┡━━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┩\n", "│\u001b[36m \u001b[0m\u001b[36mA \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m2.450E+01 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32mCross-sectional area \u001b[0m\u001b[32m \u001b[0m│\n", "│\u001b[36m \u001b[0m\u001b[36mAsy \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m1.400E+01 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32mShear area y-axis \u001b[0m\u001b[32m \u001b[0m│\n", "│\u001b[36m \u001b[0m\u001b[36mAsz \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m1.215E+01 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32mShear area z-axis \u001b[0m\u001b[32m \u001b[0m│\n", "│\u001b[36m \u001b[0m\u001b[36mcentroid \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m(4.000E+00, 2.500E+00)\u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32mElastic centroid \u001b[0m\u001b[32m \u001b[0m│\n", "│\u001b[36m \u001b[0m\u001b[36mIy \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m6.935E+01 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32mMoment of inertia y-axis \u001b[0m\u001b[32m \u001b[0m│\n", "│\u001b[36m \u001b[0m\u001b[36mIz \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m1.522E+02 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32mMoment of inertia z-axis \u001b[0m\u001b[32m \u001b[0m│\n", "│\u001b[36m \u001b[0m\u001b[36mIyz \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m-3.126E-13 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32mProduct of inertia \u001b[0m\u001b[32m \u001b[0m│\n", "│\u001b[36m \u001b[0m\u001b[36mWyt \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m2.774E+01 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32mSection moduli of top fibres y-axis \u001b[0m\u001b[32m \u001b[0m│\n", "│\u001b[36m \u001b[0m\u001b[36mWyb \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m2.774E+01 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32mSection moduli of bottom fibres y-axis\u001b[0m\u001b[32m \u001b[0m│\n", "│\u001b[36m \u001b[0m\u001b[36mWzt \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m3.806E+01 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32mSection moduli of top fibres z-axis \u001b[0m\u001b[32m \u001b[0m│\n", "│\u001b[36m \u001b[0m\u001b[36mWzb \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m3.806E+01 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32mSection moduli of bottom fibres z-axis\u001b[0m\u001b[32m \u001b[0m│\n", "│\u001b[36m \u001b[0m\u001b[36mJ \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m1.584E+02 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32mTorsion constant \u001b[0m\u001b[32m \u001b[0m│\n", "│\u001b[36m \u001b[0m\u001b[36mphi \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m-9.000E+01 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32mPrincipal axis angle \u001b[0m\u001b[32m \u001b[0m│\n", "│\u001b[36m \u001b[0m\u001b[36mmass \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m2.450E+01 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32mSection mass \u001b[0m\u001b[32m \u001b[0m│\n", "│\u001b[36m \u001b[0m\u001b[36mrho_rebar\u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m6.747E-03 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32mRatio of reinforcement \u001b[0m\u001b[32m \u001b[0m│\n", "└───────────┴────────────────────────┴────────────────────────────────────────┘\n" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
Frame Section Properties \n", "┏━━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓\n", "┃ Symbol ┃ Value ┃ Definition ┃\n", "┡━━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┩\n", "│ A │ 2.450E+01 │ Cross-sectional area │\n", "│ centroid │ (4.000E+00, 2.500E+00) │ Elastic centroid │\n", "│ Iy │ 6.935E+01 │ Moment of inertia y-axis │\n", "│ Iz │ 1.522E+02 │ Moment of inertia z-axis │\n", "│ Iyz │ -3.126E-13 │ Product of inertia │\n", "│ Wyt │ 2.774E+01 │ Section moduli of top fibres y-axis │\n", "│ Wyb │ 2.774E+01 │ Section moduli of bottom fibres y-axis │\n", "│ Wzt │ 3.806E+01 │ Section moduli of top fibres z-axis │\n", "│ Wzb │ 3.806E+01 │ Section moduli of bottom fibres z-axis │\n", "│ J │ 1.584E+02 │ Torsion constant │\n", "│ phi │ -9.000E+01 │ Principal axis angle │\n", "│ mass │ 2.450E+01 │ Section mass │\n", "│ rho_rebar │ 6.747E-03 │ Ratio of reinforcement │\n", "└───────────┴────────────────────────┴────────────────────────────────────────┘\n", "\n" ], "text/plain": [ "\u001b[3m Frame Section Properties \u001b[0m\n", "┏━━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓\n", "┃\u001b[1m \u001b[0m\u001b[1mSymbol \u001b[0m\u001b[1m \u001b[0m┃\u001b[1m \u001b[0m\u001b[1mValue \u001b[0m\u001b[1m \u001b[0m┃\u001b[1m \u001b[0m\u001b[1mDefinition \u001b[0m\u001b[1m \u001b[0m┃\n", "┡━━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┩\n", "│\u001b[36m \u001b[0m\u001b[36mA \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m2.450E+01 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32mCross-sectional area \u001b[0m\u001b[32m \u001b[0m│\n", "│\u001b[36m \u001b[0m\u001b[36mcentroid \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m(4.000E+00, 2.500E+00)\u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32mElastic centroid \u001b[0m\u001b[32m \u001b[0m│\n", "│\u001b[36m \u001b[0m\u001b[36mIy \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m6.935E+01 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32mMoment of inertia y-axis \u001b[0m\u001b[32m \u001b[0m│\n", "│\u001b[36m \u001b[0m\u001b[36mIz \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m1.522E+02 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32mMoment of inertia z-axis \u001b[0m\u001b[32m \u001b[0m│\n", "│\u001b[36m \u001b[0m\u001b[36mIyz \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m-3.126E-13 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32mProduct of inertia \u001b[0m\u001b[32m \u001b[0m│\n", "│\u001b[36m \u001b[0m\u001b[36mWyt \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m2.774E+01 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32mSection moduli of top fibres y-axis \u001b[0m\u001b[32m \u001b[0m│\n", "│\u001b[36m \u001b[0m\u001b[36mWyb \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m2.774E+01 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32mSection moduli of bottom fibres y-axis\u001b[0m\u001b[32m \u001b[0m│\n", "│\u001b[36m \u001b[0m\u001b[36mWzt \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m3.806E+01 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32mSection moduli of top fibres z-axis \u001b[0m\u001b[32m \u001b[0m│\n", "│\u001b[36m \u001b[0m\u001b[36mWzb \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m3.806E+01 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32mSection moduli of bottom fibres z-axis\u001b[0m\u001b[32m \u001b[0m│\n", "│\u001b[36m \u001b[0m\u001b[36mJ \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m1.584E+02 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32mTorsion constant \u001b[0m\u001b[32m \u001b[0m│\n", "│\u001b[36m \u001b[0m\u001b[36mphi \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m-9.000E+01 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32mPrincipal axis angle \u001b[0m\u001b[32m \u001b[0m│\n", "│\u001b[36m \u001b[0m\u001b[36mmass \u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m2.450E+01 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32mSection mass \u001b[0m\u001b[32m \u001b[0m│\n", "│\u001b[36m \u001b[0m\u001b[36mrho_rebar\u001b[0m\u001b[36m \u001b[0m│\u001b[35m \u001b[0m\u001b[35m6.747E-03 \u001b[0m\u001b[35m \u001b[0m│\u001b[32m \u001b[0m\u001b[32mRatio of reinforcement \u001b[0m\u001b[32m \u001b[0m│\n", "└───────────┴────────────────────────┴────────────────────────────────────────┘\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sec_props = sec.get_sec_props(display_results=True, plot_centroids=False)\n", "# or more faster\n", "sec_props2 = sec.get_frame_props(display_results=True)\n", "# for key, value in sec_props.items():\n", "# print(f\"{key}: {value}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## centering or rotate the section" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2023-05-06T12:30:12.284084Z", "iopub.status.busy": "2023-05-06T12:30:12.284084Z", "iopub.status.idle": "2023-05-06T12:30:12.297890Z", "shell.execute_reply": "2023-05-06T12:30:12.297890Z", "shell.execute_reply.started": "2023-05-06T12:30:12.284084Z" }, "tags": [] }, "outputs": [], "source": [ "sec.centring()\n", "#sec.rotate(90)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## View the section mesh" ] }, { "cell_type": "raw", "metadata": { "raw_mimetype": "text/restructuredtext", "tags": [] }, "source": [ "engine='plotly'" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2023-05-06T12:30:12.297890Z", "iopub.status.busy": "2023-05-06T12:30:12.297890Z", "iopub.status.idle": "2023-05-06T12:30:12.841264Z", "shell.execute_reply": "2023-05-06T12:30:12.841264Z", "shell.execute_reply.started": 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