Added(A)/Deleted(D) following books

 A  Basic_Electronics_by_Rakesh_Kumar_Garg,_Ashish_Dixit_&_Paban_Yadav/chapter1.ipynb
A  Basic_Electronics_by_Rakesh_Kumar_Garg,_Ashish_Dixit_&_Paban_Yadav/chapter2.ipynb
A  Basic_Electronics_by_Rakesh_Kumar_Garg,_Ashish_Dixit_&_Paban_Yadav/chapter3.ipynb
A  Basic_Electronics_by_Rakesh_Kumar_Garg,_Ashish_Dixit_&_Paban_Yadav/chapter4.ipynb
A  Basic_Electronics_by_Rakesh_Kumar_Garg,_Ashish_Dixit_&_Paban_Yadav/chapter5.ipynb
A  Basic_Electronics_by_Rakesh_Kumar_Garg,_Ashish_Dixit_&_Paban_Yadav/chapter6.ipynb
A  Basic_Electronics_by_Rakesh_Kumar_Garg,_Ashish_Dixit_&_Paban_Yadav/chapter7.ipynb
A  Basic_Electronics_by_Rakesh_Kumar_Garg,_Ashish_Dixit_&_Paban_Yadav/chapter8.ipynb
A  Basic_Electronics_by_Rakesh_Kumar_Garg,_Ashish_Dixit_&_Paban_Yadav/screenshots/DCLOADLINEchapter4.png
A  Basic_Electronics_by_Rakesh_Kumar_Garg,_Ashish_Dixit_&_Paban_Yadav/screenshots/DCLOADLineCH4.png
A  Basic_Electronics_by_Rakesh_Kumar_Garg,_Ashish_Dixit_&_Paban_Yadav/screenshots/TransferCharofnchmosfetCH8.png
A  Engineering_Mechanics_by_A._K._Tayal/Chapter10.ipynb
A  Engineering_Mechanics_by_A._K._Tayal/Chapter12.ipynb
A  Engineering_Mechanics_by_A._K._Tayal/Chapter13.ipynb
A  Engineering_Mechanics_by_A._K._Tayal/Chapter14.ipynb
A  Engineering_Mechanics_by_A._K._Tayal/Chapter15.ipynb
A  Engineering_Mechanics_by_A._K._Tayal/Chapter16.ipynb
A  Engineering_Mechanics_by_A._K._Tayal/Chapter17.ipynb
A  Engineering_Mechanics_by_A._K._Tayal/Chapter18.ipynb
A  Engineering_Mechanics_by_A._K._Tayal/Chapter19.ipynb
A  Engineering_Mechanics_by_A._K._Tayal/Chapter2.ipynb
A  Engineering_Mechanics_by_A._K._Tayal/Chapter20.ipynb
A  Engineering_Mechanics_by_A._K._Tayal/Chapter21.ipynb
A  Engineering_Mechanics_by_A._K._Tayal/Chapter22.ipynb
A  Engineering_Mechanics_by_A._K._Tayal/Chapter23.ipynb
A  Engineering_Mechanics_by_A._K._Tayal/Chapter24.ipynb
A  Engineering_Mechanics_by_A._K._Tayal/Chapter25.ipynb
A  Engineering_Mechanics_by_A._K._Tayal/Chapter26.ipynb
A  Engineering_Mechanics_by_A._K._Tayal/Chapter3.ipynb
A  Engineering_Mechanics_by_A._K._Tayal/Chapter4.ipynb
A  Engineering_Mechanics_by_A._K._Tayal/Chapter5.ipynb
A  Engineering_Mechanics_by_A._K._Tayal/Chapter6.ipynb
A  Engineering_Mechanics_by_A._K._Tayal/Chapter7.ipynb
A  Engineering_Mechanics_by_A._K._Tayal/Chapter8.ipynb
A  Engineering_Mechanics_by_A._K._Tayal/Chapter9.ipynb
A  Engineering_Mechanics_by_A._K._Tayal/screenshots/1.png
A  Engineering_Mechanics_by_A._K._Tayal/screenshots/2.png
A  Engineering_Mechanics_by_A._K._Tayal/screenshots/3.png
A  Semiconductor_circuit_approximations_by_A.P._Malvino/ch10.ipynb
A  Semiconductor_circuit_approximations_by_A.P._Malvino/ch11.ipynb
A  Semiconductor_circuit_approximations_by_A.P._Malvino/ch12.ipynb
A  Semiconductor_circuit_approximations_by_A.P._Malvino/ch14.ipynb
A  Semiconductor_circuit_approximations_by_A.P._Malvino/ch16.ipynb
A  Semiconductor_circuit_approximations_by_A.P._Malvino/ch2.ipynb
A  Semiconductor_circuit_approximations_by_A.P._Malvino/ch3.ipynb
A  Semiconductor_circuit_approximations_by_A.P._Malvino/ch4.ipynb
A  Semiconductor_circuit_approximations_by_A.P._Malvino/ch5.ipynb
A  Semiconductor_circuit_approximations_by_A.P._Malvino/ch6.ipynb
A  Semiconductor_circuit_approximations_by_A.P._Malvino/ch7.ipynb
A  Semiconductor_circuit_approximations_by_A.P._Malvino/ch8.ipynb
A  Semiconductor_circuit_approximations_by_A.P._Malvino/ch9.ipynb
A  Semiconductor_circuit_approximations_by_A.P._Malvino/screenshots/ACloadLineChapter10.png
A  Semiconductor_circuit_approximations_by_A.P._Malvino/screenshots/DCandACloadlinechapter9.png
A  Semiconductor_circuit_approximations_by_A.P._Malvino/screenshots/Powerratingchapter9.png

1 files changed, 355 insertions, 0 deletions

diff --git a/Engineering_Mechanics_by_A._K._Tayal/Chapter12.ipynb b/Engineering_Mechanics_by_A._K._Tayal/Chapter12.ipynb
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+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Chapter 12 Moment of Inertia"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Example 12.7 Moment of Inertia of an area of a plane figure with respect to an axis in its plane"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "The centroidal moment of inertia about X-axis (I_x) is 300 cm**4\n",
+      "The centroidal moment of inertia about Y-axis (I_y) is 150 cm**4\n"
+     ]
+    }
+   ],
+   "source": [
+    "# Initilization of variables\n",
+    "A= 50 # cm**2 # area of the shaded portion\n",
+    "J_A=22.5*10**2 # cm**4 # polar moment of inertia of the shaded portion\n",
+    "d=6 # cm\n",
+    "# Calculations\n",
+    "J_c=J_A-(A*d**2) \n",
+    "# substuting the value of I_x from eq'n 2 in eq'n 1 we get,\n",
+    "I_y=J_c/3 # cm**4 # M.O.I about Y-axis\n",
+    "# Now from eq'n 2,\n",
+    "I_x=2*I_y # cm**4 # M.O.I about X-axis\n",
+    "# Results\n",
+    "print('The centroidal moment of inertia about X-axis (I_x) is %d cm**4'%I_x)\n",
+    "print('The centroidal moment of inertia about Y-axis (I_y) is %d cm**4'%I_y)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Example 12.8 Moment of Inertia of a Composite area or hollow section"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "The M.O.I of the composite area about the centroidal x-axis is 36252.768805 cm**4\n"
+     ]
+    }
+   ],
+   "source": [
+    "import math\n",
+    "# Initilization of variables\n",
+    "b=20 # cm # width of the pate\n",
+    "d=30 # cm # depth of the plate\n",
+    "r=15 # cm # radius of the circular hole\n",
+    "h=20 # cm # distance between the centre of the circle & the x-axis\n",
+    "# Calculations\n",
+    "# (a) Location of the centroid of the composite area\n",
+    "A_1=b*d # cm**2 # area of the plate\n",
+    "y_1=d/2 # cm # y-coordinate of the centroid\n",
+    "A_2=(math.pi*r**2)/4 # cm**2 # area of the circle removed (negative)\n",
+    "y_2=h # cm # y-coordinate of the centroid\n",
+    "y_c=((A_1*y_1)-(A_2*y_2))/(A_1-A_2) # cm # from the bottom edge\n",
+    "# (b) Moment of Inertia of the composite area about the centroidal x-axis\n",
+    "# Area (A_1) M.I of area A_1 about x-axis\n",
+    "I_x1=(b*(d**3))/12 # cm**4\n",
+    "# M.I of the area A_1 about the centroidal x-axis of the composite area (By parallel-axis theorem)\n",
+    "OC_1=15 # cm # from the bottom edge\n",
+    "OC_2=20 # cm\n",
+    "OC=12.9 # cm # from the bottom edge\n",
+    "d_1=OC_1-OC # cm\n",
+    "d_2=OC_2-OC # cm \n",
+    "I_X1=(I_x1)+(A_1*d_1**2) # cm**4\n",
+    "# Area(A_2) M.I of area A_2 about x-axis\n",
+    "I_x2=(math.pi*r**4)/64 # cm**2\n",
+    "# M.I of the area A_2 about the centroidal x-axis of the composite area (By parallel-axis theorem)\n",
+    "I_X2=(I_x2)+(A_2*d_2**2) # cm**4\n",
+    "# COMPOSITE AREA:M.O.I of the composite area about the centroidal x-axis\n",
+    "I_x=(I_X1)-(I_X2) # cm**4\n",
+    "# Results\n",
+    "print('The M.O.I of the composite area about the centroidal x-axis is %f cm**4'%I_x)\n",
+    "# There may be a small error in the answer due to a decimal point "
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Example 12.9 Moment of Inertia of a Composite area or hollow section"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "The M.O.I of the composite area about the centroidal x-axis is 2309333.333333 mm**4\n"
+     ]
+    }
+   ],
+   "source": [
+    "# Initilization of variables\n",
+    "b1=80 # mm # width of the flange pate\n",
+    "d1=20 # mm # depth of the flange plate\n",
+    "b2=40 # mm # width/thickness of the web\n",
+    "d2=60 # mm # depth of the web\n",
+    "# Calculations\n",
+    "# (a) Location of the centroid of the composite area\n",
+    "A_1=b1*d1 # mm**2 # area of the flange plate\n",
+    "y_1=d2+(d1/2) # mm # y-coordinate of the centroid\n",
+    "A_2=b2*d2 # mm**2 # area of the web\n",
+    "y_2=d2/2 # mm # y-coordinate of the centroid\n",
+    "y_c=((A_1*y_1)+(A_2*y_2))/(A_1+A_2) # mm # from the bottom edge\n",
+    "# (b) Moment of Inertia of the composite area about the centroidal x-axis\n",
+    "# Area (A_1) M.I of area A_1 about x-axis\n",
+    "I_x1=(b1*(d1**3))/12 # mm**4\n",
+    "# M.I of the area A_1 about the centroidal x-axis of the composite area (By parallel-axis theorem)\n",
+    "OC_1=70 # mm # from the bottom edge\n",
+    "OC_2=30 # mm # from the bottom edge\n",
+    "OC=y_c # mm # from the bottom edge\n",
+    "d_1=(d2-y_c)+(d1/2) # mm\n",
+    "d_2=y_c-OC_2 # mm \n",
+    "I_X1=(I_x1)+(A_1*d_1**2) # mm**4\n",
+    "# Area(A_2) M.I of area A_2 about x-axis\n",
+    "I_x2=(b2*d2**3)/12 # mm**4\n",
+    "# M.I of the area A_2 about the centroidal x-axis of the composite area (By parallel-axis theorem)\n",
+    "I_X2=(I_x2)+(A_2*d_2**2) # mm**4\n",
+    "# COMPOSITE AREA:M.O.I of the composite area about the centroidal x-axis\n",
+    "I_x=(I_X1)+(I_X2) # mm**4\n",
+    "# Results\n",
+    "print('The M.O.I of the composite area about the centroidal x-axis is %f mm**4'%I_x)\n",
+    "# NOTE: The answer given in the text book is 2.31*10**3 insted of 2.31*10**6."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Example 12.10 Moment of Inertia of a Composite area or hollow section"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "The M.O.I of the composite area about the centroidal x-axis is 10761666.666667 mm**4\n",
+      "The M.O.I of the composite area about the centroidal Y-axis is 6086666.666667 mm**4\n"
+     ]
+    }
+   ],
+   "source": [
+    "# Initilization of variables\n",
+    "b1=120 # mm # width of the flange pate of L-section\n",
+    "d1=20 # mm # depth of the flange plate\n",
+    "b2=20 # mm # width/thickness of the web\n",
+    "d2=130 # mm # depth of the web\n",
+    "# Calculations\n",
+    "# (a) Location of the centroid of the composite area\n",
+    "A_1=b1*d1 # mm**2 # area of the flange plate\n",
+    "A_2=b2*d2 # mm**2 # area of the web\n",
+    "y_1=d2+(d1/2) # mm # y-coordinate of the centroid\n",
+    "y_2=d2/2 # mm # y-coordinate of the centroid\n",
+    "x_1=60 # mm # x-coordinate of the centroid\n",
+    "x_2=110 # mm # x-coordinate of the centroid\n",
+    "y_c=((A_1*y_1)+(A_2*y_2))/(A_1+A_2) # mm # from the bottom edge\n",
+    "x_c=((A_1*x_1)+(A_2*x_2))/(A_1+A_2) # mm # from the bottom edge\n",
+    "# (b) Moment of Inertia of the composite area about the centroidal x-axis\n",
+    "# Area (A_1) M.I of area A_1 about x-axis\n",
+    "I_x1=(b1*(d1**3))/12 # mm**4\n",
+    "# M.I of the area A_1 about the centroidal x-axis of the composite area (By parallel-axis theorem)\n",
+    "OC_1=d2+(d1/2) # mm # from the bottom edge\n",
+    "OC_2=d2/2 # mm # from the bottom edge\n",
+    "OC=y_c # mm # from the bottom edge\n",
+    "d_1=(d2-y_c)+(d1/2) # mm\n",
+    "d_2=y_c-OC_2 # mm \n",
+    "I_X1=(I_x1)+(A_1*d_1**2) # mm**4\n",
+    "# Area(A_2) M.I of area A_2 about x-axis\n",
+    "I_x2=(b2*d2**3)/12 # mm**4\n",
+    "# M.I of the area A_2 about the centroidal x-axis of the composite area (By parallel-axis theorem)\n",
+    "I_X2=(I_x2)+(A_2*d_2**2) # mm**4\n",
+    "# COMPOSITE AREA:M.O.I of the composite area about the centroidal x-axis\n",
+    "I_x=(I_X1)+(I_X2) # mm**4\n",
+    "# (c) Moment of Inertia of the composite area about the centroidal y-axis\n",
+    "# Area (A_1) M.I of area A_1 about y-axis\n",
+    "I_y1=(d1*(b1**3))/12 # mm**4\n",
+    "# M.I of the area A_1 about the centroidal y-axis of the composite area (By parallel-axis theorem)\n",
+    "d_3=x_c-(b1/2) # mm # distance between c &c1 along x axis\n",
+    "I_Y1=(I_y1)+(A_1*d_3**2) # mm**4\n",
+    "# Area(A_2) M.I of area A_2 about y-axis\n",
+    "I_y2=(d2*b2**3)/12 # mm**4\n",
+    "# M.I of the area A_2 about the centroidal y-axis of the composite area (By parallel-axis theorem)\n",
+    "d_4=b1-x_c-(b2/2) # mm # distance between c &c2 along x axis\n",
+    "I_Y2=(I_y2)+(A_2*d_4**2) # mm**4\n",
+    "# COMPOSITE AREA:M.O.I of the composite area about the centroidal y-axis\n",
+    "I_y=(I_Y1)+(I_Y2) # mm**4\n",
+    "# Results\n",
+    "print('The M.O.I of the composite area about the centroidal x-axis is %f mm**4'%I_x)\n",
+    "print('The M.O.I of the composite area about the centroidal Y-axis is %f mm**4'%I_y)\n",
+    "# NOTE: The answer for I_x given in text book is 0.76*10**6 insted of 10.76*10**6"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Example 12.14 Product of Inertia"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "The Product of inertia of the L-section is 7.750000 cm**4\n"
+     ]
+    }
+   ],
+   "source": [
+    "# Initilization of variables\n",
+    "b=1 # cm # smaller side of the L-section\n",
+    "h=4 # cm # larger side of the L-section\n",
+    "# Calculations\n",
+    "# (A) RECTANGLE A_1: Using the paralel axis theorem\n",
+    "Ixy=0\n",
+    "I_xy1=(Ixy)+((h*b)*(b/2)*(h/2)) # cm**4\n",
+    "# (B) RECTANGLE A_2: Using the paralel axis theorem\n",
+    "I_xy2=(Ixy)+((b*(h-1))*(1+(3/2))*(b/2)) # cm**4\n",
+    "# Product of inertia of the total area\n",
+    "I_xy=I_xy1+I_xy2 # cm**4\n",
+    "# Calculations\n",
+    "print('The Product of inertia of the L-section is %f cm**4'%I_xy)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Example 12.15 Principal Moment of Inertia"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 9,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "The principal axes of the section about O is -35.465403 degree\n",
+      "The Maximum value of principal M.O.I is 3822.059509 cm**4\n",
+      "The Minimum value of principal M.O.I is 393.940491 cm**4\n"
+     ]
+    }
+   ],
+   "source": [
+    "# Initilization of variables\n",
+    "I_x=1548 # cm**4 # M.O.I of the Z-section about X-axis\n",
+    "I_y=2668 # cm**4 # M.O.I of the Z-section about Y-axis\n",
+    "b=12 # cm # width of flange of the Z-section\n",
+    "d=3 # cm # depth of flange of the Z-section\n",
+    "t=2 # cm # thickness of the web of the Z-section\n",
+    "h=6 # cm # depth of the web of the Z-section\n",
+    "#Calculations\n",
+    "A_1=b*d # cm**2 # area of top flange\n",
+    "x_1=-5 # cm # distance of the centroid from X-axis for top flange\n",
+    "y_1=4.5 # cm # distance of the centroid from Y-axis for top flange\n",
+    "A_2=t*h # cm**2 # area of web\n",
+    "x_2=0 # cm # distance of the centroid from X-axis for the web\n",
+    "y_2=0 # cm # distance of the centroid from Y-axis for the web\n",
+    "A_3=b*d # cm**2 # area of bottom flange\n",
+    "x_3=5 # cm # distance of the centroid from X-axis for top flange\n",
+    "y_3=-4.5 # cm # distance of the centroid from Y-axis for top flange\n",
+    "# Product of Inertia of the total area is,\n",
+    "I_xy=((A_1*x_1*y_1)+(A_3*x_3*y_3)) # cm**4\n",
+    "# The direction of the principal axes is,\n",
+    "theta_m=(math.degrees(math.atan((2*I_xy)/(I_y-I_x))))/2 # degree\n",
+    "# Principa M.O.I\n",
+    "I_max=((I_x+I_y)/2)+(math.sqrt(((I_x-I_y)/2)**2+(I_xy)**2)) # cm**4\n",
+    "I_mini=((I_x+I_y)/2)-(math.sqrt(((I_x-I_y)/2)**2+(I_xy)**2)) # cm**4\n",
+    "# Results\n",
+    "print('The principal axes of the section about O is %f degree'%theta_m)\n",
+    "print('The Maximum value of principal M.O.I is %f cm**4'%I_max)\n",
+    "print('The Minimum value of principal M.O.I is %f cm**4'%I_mini)"
+   ]
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.5.1"
+  },
+  "widgets": {
+   "state": {},
+   "version": "1.1.2"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}