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| author | kinitrupti | 2017-05-12 18:53:46 +0530 |
|---|---|---|
| committer | kinitrupti | 2017-05-12 18:53:46 +0530 |
| commit | 6279fa19ac6e2a4087df2e6fe985430ecc2c2d5d (patch) | |
| tree | 22789c9dbe468dae6697dcd12d8e97de4bcf94a2 /Strength_of_Materials_by_Dr.R.K.Bansal/chapter7.ipynb | |
| parent | d36fc3b8f88cc3108ffff6151e376b619b9abb01 (diff) | |
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Removed duplicates
Diffstat (limited to 'Strength_of_Materials_by_Dr.R.K.Bansal/chapter7.ipynb')
| -rwxr-xr-x | Strength_of_Materials_by_Dr.R.K.Bansal/chapter7.ipynb | 130 |
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diff --git a/Strength_of_Materials_by_Dr.R.K.Bansal/chapter7.ipynb b/Strength_of_Materials_by_Dr.R.K.Bansal/chapter7.ipynb new file mode 100755 index 00000000..eb76c96c --- /dev/null +++ b/Strength_of_Materials_by_Dr.R.K.Bansal/chapter7.ipynb @@ -0,0 +1,130 @@ +{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:9a486aadfd6b9085cbabcb01b6c4b7704df2013ab12ac6b342be3bf11e26b98d"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 7:Bending Stresses in Beams"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Problem 7.1,page no.298"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "#Variable declaration\n",
+ "b=120 #Width of plate in mm\n",
+ "t=20 #Thickness of plate in mm\n",
+ "R=10*10**3 #Radius of curvature in mm\n",
+ "E=2e5 #Young's modulus in N/sq.mm\n",
+ "\n",
+ "#Calculation\n",
+ "I=b*t**3/12 #Moment of inertia in mm^4\n",
+ "y_max=t/2 #Maximum distance in mm\n",
+ "sigma_max=int((E/R)*y_max) #Maximum stress in N/sq.mm\n",
+ "M=round((E/R*I)*(10**-6),1) #Bending moment in kNm\n",
+ "\n",
+ "#Result\n",
+ "print \"Maximum stress =\",sigma_max,\"N/mm^2\"\n",
+ "print \"Bending moment =\",M,\"kNm\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Maximum stress = 200 N/mm^2\n",
+ "Bending moment = 1.6 kNm\n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Problem 7.8,page no.305"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "from __future__ import division\n",
+ "import math\n",
+ "\n",
+ "#Given\n",
+ "#Variable declaration\n",
+ "W=20*1000 #Total load in N\n",
+ "L=3.6 #Span in m\n",
+ "sigma_max=7 #Maximum stress in N/sq.mm\n",
+ "\n",
+ "#Calculation\n",
+ "M1=W*L/8*1e3 #Maximum Bending moment in Nmm\n",
+ "b1=round((M1*3/(sigma_max*2))**(1/3),1) #Breadth of the beam in mm\n",
+ "d1=int(round(2*b1,0)) #depth of the beam in mm\n",
+ "M2=W*L/4*1e3 #Maximum Bending moment in Nmm\n",
+ "b2=float(str(round((M2*3/(sigma_max*2))**(1/3),4))[:6]) #Breadth of the beam in mm\n",
+ "d2=2*b2 #depth of the beam in mm\n",
+ "\n",
+ "#Result\n",
+ "print \"Dimensions of the cross-section:\"\n",
+ "print \"Breadth of beam =\",b1,\"mm\"\n",
+ "print \"Depth of beam\",d1,\"mm\"\n",
+ "\n",
+ "print \"Dimensions of the cross-section when the beam carries a point load at the centre:\"\n",
+ "print \"Breadth of beam =\",b2,\"mm\"\n",
+ "print \"Depth of beam\",d2,\"mm\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Dimensions of the cross-section:\n",
+ "Breadth of beam = 124.5 mm\n",
+ "Depth of beam 249 mm\n",
+ "Dimensions of the cross-section when the beam carries a point load at the centre:\n",
+ "Breadth of beam = 156.82 mm\n",
+ "Depth of beam 313.64 mm\n"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [],
+ "language": "python",
+ "metadata": {},
+ "outputs": []
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}
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