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| author | Thomas Stephen Lee | 2015-09-04 22:04:10 +0530 |
|---|---|---|
| committer | Thomas Stephen Lee | 2015-09-04 22:04:10 +0530 |
| commit | 41f1f72e9502f5c3de6ca16b303803dfcf1df594 (patch) | |
| tree | f4bf726a3e3ce5d7d9ee3781cbacfe3116115a2c /Aircraft_Structures_for_Engineering_Students/Chapter06.ipynb | |
| parent | 9c9779ba21b9bedde88e1e8216f9e3b4f8650b0e (diff) | |
| download | Python-Textbook-Companions-41f1f72e9502f5c3de6ca16b303803dfcf1df594.tar.gz Python-Textbook-Companions-41f1f72e9502f5c3de6ca16b303803dfcf1df594.tar.bz2 Python-Textbook-Companions-41f1f72e9502f5c3de6ca16b303803dfcf1df594.zip | |
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diff --git a/Aircraft_Structures_for_Engineering_Students/Chapter06.ipynb b/Aircraft_Structures_for_Engineering_Students/Chapter06.ipynb deleted file mode 100755 index 5195a30b..00000000 --- a/Aircraft_Structures_for_Engineering_Students/Chapter06.ipynb +++ /dev/null @@ -1,112 +0,0 @@ -{
- "metadata": {
- "name": "",
- "signature": "sha256:902d8cc266f9fb597a0d00273b10ab788d226cbd969bb1e960b465c84a750eef"
- },
- "nbformat": 3,
- "nbformat_minor": 0,
- "worksheets": [
- {
- "cells": [
- {
- "cell_type": "heading",
- "level": 1,
- "metadata": {},
- "source": [
- "Chapter 06: Matrix methods"
- ]
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 6.4 Pg.No.205"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from __future__ import division\n",
- "import math\n",
- "import numpy as np\n",
- "from sympy import solve, symbols, pprint\n",
- "from sympy import diff\n",
- "x,y=symbols('x,y')\n",
- "\n",
- "E=200000 #youngs modulus (N/mm^2)\n",
- "nu=0.3 #poissons ratio\n",
- "u1=0.001\n",
- "u2=0.003\n",
- "u3=-0.003 #displacements of corners (m)\n",
- "u4=0\n",
- "v1=-0.004\n",
- "v2=-0.002\n",
- "v3=0.001\n",
- "v4=0.001\n",
- "\n",
- "\n",
- "a=np.array([[1,-2,-1,2],[1,2,-1,-2],[1,2,1,2],[1,-2,1,-2]])\n",
- "b=np.array([u1,u2,u3,u4])\n",
- "alpha=np.linalg.solve(a,b)\n",
- "alpha1=alpha[0]\n",
- "alpha2=alpha[1]\n",
- "alpha3=alpha[2]\n",
- "alpha4=alpha[3]\n",
- "\n",
- "a=np.array([[1,-2,-1,2],[1,2,-1,-2],[1,2,1,2],[1,-2,1,-2]])\n",
- "b=np.array([v1,v2,v3,v4])\n",
- "alpha=np.linalg.solve(a,b)\n",
- "alpha5=alpha[0]\n",
- "alpha6=alpha[1]\n",
- "alpha7=alpha[2]\n",
- "alpha8=alpha[3]\n",
- "\n",
- "u=alpha1+alpha2*x+alpha3*y+alpha4*x*y\n",
- "v=alpha5+alpha6*x+alpha7*y+alpha8*x*y\n",
- "\n",
- "ex=diff(u,x)\n",
- "ey=diff(v,y)\n",
- "Yxy=diff(u,y)+diff(v,x)\n",
- "\n",
- "ex=-0.000125\n",
- "ey=.002\n",
- "Yxy=-0.0015\n",
- "\n",
- "sigma_x=E/(1-nu**2)*(ex+nu*ey)\n",
- "sigma_y=E/(1-nu**2)*(ey+nu*ex)\n",
- "print \"longitudinal stress in x direction = %3.1f N/mm^2\"%(sigma_x)\n",
- "print \"longitudinal stress in y direction = %3.1f N/mm^2\"%(sigma_y)\n",
- "\n",
- "T_xy=E/2/(1+nu)*Yxy\n",
- "print \"shear stress at the center of plate = %3.1f N/mm^2\"%(T_xy)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "longitudinal stress in x direction = 104.4 N/mm^2\n",
- "longitudinal stress in y direction = 431.3 N/mm^2\n",
- "shear stress at the center of plate = -115.4 N/mm^2\n"
- ]
- }
- ],
- "prompt_number": 44
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [],
- "language": "python",
- "metadata": {},
- "outputs": []
- }
- ],
- "metadata": {}
- }
- ]
-}
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