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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/Chapter08.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/Chapter08.ipynb b/Aircraft_Structures_for_Engineering_Students/Chapter08.ipynb deleted file mode 100755 index 65ccbf76..00000000 --- a/Aircraft_Structures_for_Engineering_Students/Chapter08.ipynb +++ /dev/null @@ -1,154 +0,0 @@ -{
- "metadata": {
- "name": "",
- "signature": "sha256:d4ab160ecba8745ef027bb167a7abbd97977707c483b1d0a639c7f068e2016a8"
- },
- "nbformat": 3,
- "nbformat_minor": 0,
- "worksheets": [
- {
- "cells": [
- {
- "cell_type": "heading",
- "level": 1,
- "metadata": {},
- "source": [
- "Chapter 08: Columns"
- ]
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 8.3 Pg.No.280"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from __future__ import division\n",
- "import math\n",
- "\n",
- "E=75000 #youngs modulus(N/mm^2)\n",
- "G=21000 #shear modulus (N/mm^2)\n",
- "L=2 #length of column (m)\n",
- "l1=75 #flange length (mm)\n",
- "l2=37.5 #total length(mm)\n",
- "t=2.5 #thickness(mm)\n",
- "\n",
- "A=t*(2*l2+l1) #observed from Fig 8.17\n",
- "\n",
- "#chapter 16 Ixx=bd^3/12+Ab^2\n",
- "Ixx=2*l2*t*l2**2+t*l1**3/12\n",
- "Iyy=2*t*l2**3/12\n",
- "\n",
- "I0=Ixx+Iyy\n",
- "\n",
- "#eqn 18.11 J=SUM((s*t^3)/3)\n",
- "J=2*l2*t**3/3+l1*t**3/3\n",
- "\n",
- "Gama=t*l2**3*l1**2/24\n",
- "Iyy=0.22*10**5\n",
- "L=2*10**3\n",
- "P_CRxx=math.pi**2*E*Ixx/L**2\n",
- "P_CRyy=math.pi**2*E*Iyy/L**2\n",
- "P_CRo=A/I0*(G*J+math.pi**2*E*Gama/L**2)\n",
- "\n",
- "print \"P_CRxx = %3.2e N\\n\"%(P_CRxx)\n",
- "print \"P_CRyy = %0.1e N\\n\"%(P_CRyy)\n",
- "print \"P_CRO = %0.2e N\\n\"%(P_CRo)\n",
- "\n",
- "print \"therefore buckling in the column due to axial load=%0.1e N\\n\"%(P_CRyy)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "P_CRxx = 6.51e+04 N\n",
- "\n",
- "P_CRyy = 4.1e+03 N\n",
- "\n",
- "P_CRO = 2.22e+04 N\n",
- "\n",
- "therefore buckling in the column due to axial load=4.1e+03 N\n",
- "\n"
- ]
- }
- ],
- "prompt_number": 9
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 8.4 Pg.No.282"
- ]
- },
- {
- "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",
- "P=symbols('P')\n",
- "\n",
- "E=70000 #youngs modulus (N/mm^2)\n",
- "G=30000 #shear modulus (N/mm^2)\n",
- "x_S=-76.2 #position of shear center(mm)\n",
- "l1=l2=100 #lengths (mm)\n",
- "t=2 #thickness(mm)\n",
- "\n",
- "x_bar=2*t*l1*50/(3*l1)/2\n",
- "\n",
- "A=600 #area (mm^2)\n",
- "Ixx=1.17*10**6 #second moment of area (mm^4)\n",
- "Iyy=0.67*10**6 #second moment of area (mm^4)\n",
- "I0=5.32*10**6 # total second moment of area (mm^4)\n",
- "J=800 #torsion constant (mm^4)\n",
- "Gama=2488*10**6 #(mm^6)\n",
- "L=10**3 #(mm)\n",
- "\n",
- "P_CRxx=math.pi**2*E*Ixx/L**2\n",
- "P_CRyy=math.pi**2*E*Iyy/L**2\n",
- "P_CRo=A/I0*(G*J+math.pi**2*E*Gama/L**2)\n",
- "\n",
- "fun=P**2*(1-A*x_S**2/I0)-P*(P_CRxx+P_CRo)+P_CRxx*P_CRo\n",
- "solution = solve(fun, P)\n",
- "print \"lowest value of critical load = %1.2e N\\n\"%(min(solution))"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "lowest value of critical load = 1.68e+05 N\n",
- "\n"
- ]
- }
- ],
- "prompt_number": 29
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [],
- "language": "python",
- "metadata": {},
- "outputs": []
- }
- ],
- "metadata": {}
- }
- ]
-}
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