{
    "info": {
        "author": "Danilo S. Victorazzo",
        "author_email": "victorazzo@gmail.com",
        "bugtrack_url": null,
        "classifiers": [
            "Intended Audience :: Science/Research",
            "License :: OSI Approved :: BSD License",
            "Natural Language :: English",
            "Operating System :: OS Independent",
            "Programming Language :: Python :: 3.6",
            "Programming Language :: Python :: 3.7",
            "Topic :: Scientific/Engineering"
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        "description": "# Abdbeam : composites cross section analysis\nA Python package for the cross section analysis of composite material beams of any shape. \n\n![Abdbeam Hat Example](https://user-images.githubusercontent.com/24232637/51789056-0d42e200-2153-11e9-9fae-cdd82db90422.png)\n\n## Main features\n\nThese are a few things you can do with **Abdbeam**:\n\n* Use a fast thin-walled anisotropic composite beam theory including closed cells, open branches, shear connectors and booms (discrete stiffeners containing axial and torsional stiffnesses);\n* Recover replacement stiffnesses (EA, EIyy, EIzz, EIyz, GJ) and/or a full 4 x 4 stiffness matrix for beams with arbitrary layups and shapes;\n* Recover centroid and shear center locations;\n* Obtain internal load distributions (Nx, Nxy, Mx, My, Mxy for segments; Px and Tx for booms) for a large number of cross section load cases (defined by Px, My, Mz, Tz, Vy and Vz section loads);\n* Plot cross sections, their properties and internal loads.\n\n## Installing\n\nInstall using PyPI ([Python package index](https://pypi.org/project/abdbeam)) :\n\n```sh\npip install abdbeam\n```\n\n## Source and Documentation\n\nThe source code is hosted on GitHub at https://github.com/victorazzo/abdbeam and the documentation can be found at https://docs.abdbeam.org.\n\n## Dependencies\n\n- [NumPy](https://www.numpy.org)\n- [Pandas](https://pandas.pydata.org)\n- [Matplotlib](https://matplotlib.org)\n\n## Example\n\nLet's use **Abdbeam** to analyze the cross section with two closed cells below:\n\n<img src=\"https://user-images.githubusercontent.com/24232637/50049830-266c6380-00bc-11e9-808d-97896d3f3e16.png\" width=\"400\">\n\nStart creating the section materials, its points and segments (we'll also calculate the section properties and request a summary at the end):\n\n```python\nimport abdbeam as ab\nsc = ab.Section()\n# Create a materials dictionary:\nmts = dict()\nmts[1] = ab.Laminate()\nply_mat = ab.PlyMaterial(0.166666, 148000, 9650, 4550, 0.3)\nmts[1].ply_materials[1] = ply_mat\nmts[1].plies = [[0,1]]*6 + [[45,1]]*6\n# Create a points dictionary based on Y and Z point coordinates:\npts = dict()\npts[1] = ab.Point(0, -35)\npts[2] = ab.Point(-50, -35)\npts[3] = ab.Point(-50, 35)\npts[4] = ab.Point(0, 35)\npts[5] = ab.Point(50, 35)\npts[6] = ab.Point(50, -35)\n# Create a segments dictionary referencing point and material ids:\nsgs = dict()\nsgs[1] = ab.Segment(1,2,1)\nsgs[2] = ab.Segment(2,3,1)\nsgs[3] = ab.Segment(3,4,1)\nsgs[4] = ab.Segment(4,1,1)\nsgs[5] = ab.Segment(4,5,1)\nsgs[6] = ab.Segment(5,6,1)\nsgs[7] = ab.Segment(6,1,1)\n# Point the dictionaries to the section\nsc.materials = mts\nsc.points = pts\nsc.segments = sgs\n# Calculate and output section properties\nsc.calculate_properties()\nsc.summary()\n```\n\nWhich prints:\n\n```sh\nSection Summary\n===============\n\nNumber of points: 6\nNumber of segments: 7\nNumber of cells: 2\n\nCentroid\n--------\nyc     = -2.67780636e-01\nzc     = 0.00000000e+00\n\nShear Center\n------------\nys     = 2.35301214e-03\nzs     = -1.45758049e-03\n\nReplacement Stiffnesses\n-----------------------\nEA     = 6.80329523e+07\nEIyy   = 5.24834340e+10\nEIzz   = 8.36408748e+10\nEIyz   = 0.00000000e+00\nGJ     = 1.23762317e+10\nEImax  = 8.36408748e+10\nEImin  = 5.24834340e+10\nAngle  = 0.00000000e+00\n\n[P_c] - Beam Stiffness Matrix at the Centroid\n---------------------------------------------\n[[ 6.80329523e+07  0.00000000e+00  2.46320132e+05 -1.43701515e+08]\n [ 0.00000000e+00  5.24834340e+10  0.00000000e+00  0.00000000e+00]\n [ 2.46320132e+05  0.00000000e+00  8.36408748e+10 -2.12142163e+07]\n [-1.43701515e+08  0.00000000e+00 -2.12142163e+07  1.23762317e+10]]\n\n[W_c] - Beam Compliance Matrix at the Centroid\n----------------------------------------------\n[[1.50683149e-08 0.00000000e+00 1.66286490e-28 1.74959530e-10]\n [0.00000000e+00 1.90536313e-11 0.00000000e+00 0.00000000e+00]\n [1.57282135e-25 0.00000000e+00 1.19558821e-11 2.04936911e-14]\n [1.74959530e-10 0.00000000e+00 2.04936911e-14 8.28315446e-11]]\n\n[P] - Beam Stiffness Matrix at the Origin\n-----------------------------------------\n[[ 6.80329523e+07  0.00000000e+00 -1.79715871e+07 -1.43701515e+08]\n [ 0.00000000e+00  5.24834340e+10  0.00000000e+00  0.00000000e+00]\n [-1.79715871e+07  0.00000000e+00  8.36456213e+10  1.72662667e+07]\n [-1.43701515e+08  0.00000000e+00  1.72662667e+07  1.23762317e+10]]\n\n[W] - Beam Compliance Matrix at the Origin\n------------------------------------------\n[[1.50691722e-08 0.00000000e+00 3.20155371e-12 1.74965018e-10]\n [0.00000000e+00 1.90536313e-11 0.00000000e+00 0.00000000e+00]\n [3.20155371e-12 0.00000000e+00 1.19558821e-11 2.04936911e-14]\n [1.74965018e-10 0.00000000e+00 2.04936911e-14 8.28315446e-11]]\n```\n\nNow let's create two load cases (101 and 102) and calculate their internal loads:\n\n```python\nsc.loads = dict()\nsc.loads[101] = ab.Load(My=5e6)\nsc.loads[102] = ab.Load(Tx=250000, Vz=5000.0)\nsc.calculate_internal_loads()\n```\n\nNext print all internal loads (which outputs a lot of data we'll not show here):\n```python\nsc.print_internal_loads()\n```\n\nOr access the Pandas dataframe containing these internal loads directly:\n```python\ndf = sc.sgs_int_lds_df\n```\n\nNext plot the cross section and its properties (we'll show the segment orientations, hide legends, change the centroid , shear center and principal axis colors and use a custom figure size):\n```python\nab.plot_section(sc, segment_coord=True, title='Abdbeam - Example', \n                legend=False, prop_color='#471365', figsize=(5.12, 3.84))\n```\n![Abdbeam Plot Section Example](https://user-images.githubusercontent.com/24232637/51790615-babef100-2165-11e9-83c8-72a0d1a6c1f0.png)\n\nFinally, plot Nx and Nxy for load case 101 (we'll change the matplotlib contour palette, reduce the internal load diagram scale, and use a custom figure size):\n```python\nab.plot_section_loads(sc, 101, contour_color='viridis', diagram_scale=0.7, \n                      int_load_list=['Nx', 'Nxy'], figsize=(5.12, 3.84))\n```\n![Abdbeam Plot Loads Example](https://user-images.githubusercontent.com/24232637/52542062-0a0e3f80-2d6a-11e9-8f17-323d5186180b.png)\n\n## License\n\nBSD-3\n\n## Contribute\n\n**Abdbeam** is at its early development stages and we encourage you to pitch in and [contribute on GitHub](https://github.com/victorazzo/abdbeam). Guidelines for contributors are in the works, so stay tuned.\n\n## Theory\n\nFor the theory behind Abdbeam, the most complete reference is:\n\n[Victorazzo DS, De Jesus A. A Koll\u00c3\u00a1r and Pluzsik anisotropic composite beam theory for arbitrary multicelled cross sections. Journal of Reinforced Plastics and Composites. 2016 Dec;35(23):1696-711.](https://journals.sagepub.com/doi/abs/10.1177/0731684416665493)\n\nThese are also great references on its originating theory:\n\n* [Koll\u00c3\u00a1r LP, Springer GS. Mechanics of composite structures. Cambridge university press; 2003 Feb 17.](https://www.amazon.com/Mechanics-Composite-Structures-L%C3%A1szl%C3%B3-Koll%C3%A1r/dp/0521126908/ref=sr_1_1?ie=UTF8&qid=1544936929&sr=8-1&keywords=Mechanics+of+composite+structures)\n* [Koll\u00c3\u00a1r LP and Pluzsik A. Analysis of thin-walled composite beams with arbitrary layup. J Reinf Plast Compos 2002; 21: 1423\u00e2\u20ac\u201c1465.](https://journals.sagepub.com/doi/abs/10.1177/0731684402021016928)\n\n\nNote: the effects of shear deformation and restrained warping are assumed negligible in **Abdbeam**. Check the references above for more details.\n\n\n\n\n",
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