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diff --git a/Engineering_Mechanics_by_Tayal_A.K./chapter04_15.ipynb b/Engineering_Mechanics_by_Tayal_A.K./chapter04_15.ipynb new file mode 100644 index 00000000..e5d35c61 --- /dev/null +++ b/Engineering_Mechanics_by_Tayal_A.K./chapter04_15.ipynb @@ -0,0 +1,138 @@ +{
+ "metadata": {
+ "name": "chapter4.ipynb"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 4 : Centroid , Centre Of Mass And Centre Of Gravity"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 4.4-8,Page No:100"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "\n",
+ "# Initilization of variables\n",
+ "\n",
+ "b1=20 #cm # width of top flange\n",
+ "t1=5 #cm # thickness of top flange\n",
+ "b2=5 #cm # width of web\n",
+ "t2=15 #cm # thickness or height of the web\n",
+ "b3=30 #cm # width of bottom flange\n",
+ "t3=5 #cm # thickness of bottom flange\n",
+ "\n",
+ "# Calculations\n",
+ "\n",
+ "A1=b1*t1 #cm^2 # area of bottom flange\n",
+ "A2=b2*t2 #cm^2 # area of the web\n",
+ "A3=b3*t3 #cm^2 # area of top flange\n",
+ "y1=t3+t2+(t1*0.5) #cm # y co-ordinate of the centroid of top flange\n",
+ "y2=t3+(t2*0.5) #cm # y co-ordinate of the centroid of the web\n",
+ "y3=t3*0.5 #cm # y co-ordinate of the centroid of the bottom flange\n",
+ "y_c=((A1*y1)+(A2*y2)+(A3*y3))/(A1+A2+A3) #cm # where y_c is the centroid of the un-symmetrycal I-section\n",
+ "\n",
+ "# Results\n",
+ "\n",
+ "print\"The centroid of the un equal I-section is \",round(y_c,2),\"cm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The centroid of the un equal I-section is 10.96 cm\n"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 4.4-9,Page No:101"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "\n",
+ "#Initilization of variables\n",
+ "\n",
+ "# The given section is Z-section which is un-symmetrycal about both the axis\n",
+ "\n",
+ "b1=20 #cm # width of bottom flange \n",
+ "t1=5 #cm # thickness of the bottom flange\n",
+ "b2=2.5 #cm # thickness of the web of the flange\n",
+ "t2=15 #cm # depth of the web\n",
+ "b3=10 #cm # width of the top flange\n",
+ "t3=2.5 #cm # thickness of the top flange\n",
+ "\n",
+ "# Calculations\n",
+ "\n",
+ "# Respective areas\n",
+ "\n",
+ "A1=b1*t1 # cm^2 # area of the bottom flange\n",
+ "A2=b2*t2 # cm^2 # area of the web\n",
+ "A3=b3*t3 # cm^2 # area of the top-flange\n",
+ "\n",
+ "# first we calculate the x co-ordinate of the centroid\n",
+ "\n",
+ "x1=b3-b2+(b1*0.5) #cm # for the bottom flange\n",
+ "x2=b3-(b2*0.5) #cm # for the web\n",
+ "x3=b3*0.5 #cm # for the top flange\n",
+ "x_c=((A1*x1)+(A2*x2)+(A3*x3))/(A1+A2+A3) #cm\n",
+ "\n",
+ "# secondly we calculate the y co-ordinate of the centroid\n",
+ "\n",
+ "y1=t1*0.5 #cm # for the bottom flange\n",
+ "y2=t1+(t2*0.5) #cm # for the web\n",
+ "y3=t1+t2+(t3*0.5) #cm # for the top flange\n",
+ "y_c=((A1*y1)+(A2*y2)+(A3*y3))/(A1+A2+A3) # cm\n",
+ "\n",
+ "# Results\n",
+ "\n",
+ "print\"The centroid of the cross-sectional area of a Z-section about x-axis is \",round(x_c,2),\"cm\"\n",
+ "print\"The centroid of the cross-sectional area of a Z-section about y-axis is \",round(y_c,2),\"cm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The centroid of the cross-sectional area of a Z-section about x-axis is 13.56 cm\n",
+ "The centroid of the cross-sectional area of a Z-section about y-axis is 7.69 cm\n"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}
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