From d36fc3b8f88cc3108ffff6151e376b619b9abb01 Mon Sep 17 00:00:00 2001 From: kinitrupti Date: Fri, 12 May 2017 18:40:35 +0530 Subject: Revised list of TBCs --- .../chapter2_1.ipynb | 562 --------------------- 1 file changed, 562 deletions(-) delete mode 100755 Engineering_Mechanics,_Schaum_Series_by_McLean/chapter2_1.ipynb (limited to 'Engineering_Mechanics,_Schaum_Series_by_McLean/chapter2_1.ipynb') diff --git a/Engineering_Mechanics,_Schaum_Series_by_McLean/chapter2_1.ipynb b/Engineering_Mechanics,_Schaum_Series_by_McLean/chapter2_1.ipynb deleted file mode 100755 index 9a6ee7f9..00000000 --- a/Engineering_Mechanics,_Schaum_Series_by_McLean/chapter2_1.ipynb +++ /dev/null @@ -1,562 +0,0 @@ -{ - "metadata": { - "name": "chapter 2.ipynb" - }, - "nbformat": 3, - "nbformat_minor": 0, - "worksheets": [ - { - "cells": [ - { - "cell_type": "heading", - "level": 1, - "metadata": {}, - "source": [ - "Chapter 2: Operations with Forces" - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 2.2-1, Page No: 21" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "#Initilization of variables\n", - "\n", - "F=20 #lb\n", - "L=4.33 #ft\n", - "#Calculation\n", - "M=-F*L #lb-ft\n", - "\n", - "#Result\n", - "\n", - "print'The moment of force F about O is',round(M,1),\"lb-ft\"\n", - "\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "The moment of force F about O is -86.6 lb-ft\n" - ] - } - ], - "prompt_number": 1 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 2.2-2, Page no: 22" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "#Initilization of variables\n", - "\n", - "F=20 #lb\n", - "theta=((60*pi)/180) #radians\n", - "L=5 #ft\n", - "\n", - "#Calculations\n", - "\n", - "F_x=F*cos(theta) #Resloving the vector\n", - "F_y=F*sin(theta) #Resloving the vector\n", - "M=-F_y*L #Appling Varignon's theorem\n", - "#Negative sign tells that moment is clockwise\n", - "\n", - "#Result\n", - "\n", - "print'The moment of the force about O is',round(M,1),\"lb-ft\"\n", - " " - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "The moment of the force about O is -86.6 lb-ft\n" - ] - } - ], - "prompt_number": 2 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 2.2-3,Page No: 22" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "#Initilization of variables\n", - "\n", - "F=100 #N\n", - "x1=2 #m\n", - "x2=5 #m\n", - "y1=0 #m\n", - "y2=1 #m\n", - "z1=4 #m\n", - "z2=1 #m\n", - "\n", - "#Calculations\n", - "\n", - "xside=(x2-x1) #m\n", - "yside=(y2-y1) #m\n", - "zside=(z2-z1) #m\n", - "LD=sqrt(xside**2+yside**2+zside**2)\n", - "Fx=(xside/LD)*F #N\n", - "Fy=(yside/LD)*F #N\n", - "Fz=(zside/LD)*F #N\n", - "Mx=-Fy*z1 #N-m\n", - "My=Fx*x1-Fz*z1 #N-m\n", - "Mz=Fy*x1 #N-m\n", - "\n", - "#Result\n", - "\n", - "print'Fx is',round(Fx,1),\"N\"\n", - "print'Fy is',round(Fy,1),\"N\"\n", - "print'Fz is',round(Fz,1),\"N\"\n", - "print'Moment about X-Axis is',round(Mx,1),\"N.m\"\n", - "print'Moment about Y-Axis is +',round(My),\"N.m\"\n", - "print'Moment about Z-Axis is +',round(Mz,1),\"N.m\"\n", - "\n", - "# Decimal point error in calculation causes a small discrepancy in the resulting solutions." - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Fx is 68.8 N\n", - "Fy is 22.9 N\n", - "Fz is -68.8 N\n", - "Moment about X-Axis is -91.8 N.m\n", - "Moment about Y-Axis is + 413.0 N.m\n", - "Moment about Z-Axis is + 45.9 N.m\n" - ] - } - ], - "prompt_number": 3 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 2.2-4, Page No: 23" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "#Initilization of variables\n", - "\n", - "Fx=68.7 #N\n", - "Fy=22.9 #N\n", - "Fz=-68.7 #N\n", - "rx=2 #m\n", - "ry=0 #m\n", - "rz=4 #m\n", - "rx1=5 #m\n", - "ry1=1 #m\n", - "rz1=1 #m\n", - "\n", - "#Calculation\n", - "\n", - "Mx=Fz*ry-Fy*rz #N-m\n", - "My=-(Fz*rx-Fx*rz) #N-m\n", - "Mz=Fy*rx-Fx*ry #N-m\n", - "Mx1=Fz*ry1-Fy*rz1 #N-m\n", - "My1=-(Fz*rx1-Fx*rz1) #N-m\n", - "Mz1=Fy*rx1-Fx*ry1 #N-m\n", - "\n", - "#Result\n", - "\n", - "print'Moment with respect to origin using point(2,0,4)is',round(Mx,1),\"i +\",round(My),\"j +\",round(Mz,1),\"k N.m\"\n", - "print'Moment with respect to origin using point (5,1,1) is',round(Mx1,1),\"i +\",round(My1),\"j +\",round(Mz1,1),\"k N.m\"\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Moment with respect to origin using point(2,0,4)is -91.6 i + 412.0 j + 45.8 k N.m\n", - "Moment with respect to origin using point (5,1,1) is -91.6 i + 412.0 j + 45.8 k N.m\n" - ] - } - ], - "prompt_number": 6 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 2.2-5, Page no: 23" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "#Initilization of variables\n", - "\n", - "Fx=2 #lb\n", - "Fy=3 #lb\n", - "Fz=-1 #lb\n", - "rx=1 #ft\n", - "ry=-4 #ft\n", - "rz=3 #ft\n", - "#Coordinates of points\n", - "ax=3 #ft\n", - "ay=1 #ft\n", - "az=1 #ft\n", - "bx=3 #ft\n", - "by=-1 #ft\n", - "bz=1 #ft\n", - "cx=2 #ft\n", - "cy=5 #ft\n", - "cz=-2 #ft\n", - "\n", - "#Calculations\n", - "\n", - "Rx=ax-cx #ft\n", - "Ry=ay-cy #ft\n", - "Rz=az-cz #ft\n", - "Mx=(Ry*Fz)-(Rz*Fy) #lb-ft\n", - "My=-((Rx*Fz)-(Rz*Fx)) #lb-ft\n", - "Mz=(Rx*Fy)-(Ry*Fx) #lb-ft\n", - "E_u=sqrt((bx-cx)**2+(by-cy)**2+(bz-cz)**2) #ft\n", - "ex=(bx-cx)/E_u #ft\n", - "ey=(by-cy)/E_u #ft\n", - "ez=(bz-cz)/E_u #ft\n", - "M_lx=Mx*ex #lb-ft\n", - "M_ly=My*ey #lb-ft\n", - "M_lz=Mz*ez #lb-ft\n", - "M_l=M_lx+M_ly+M_lz #lb-ft\n", - "\n", - "#Result\n", - "\n", - "print'Hence the moment about line is',round(M_l,2),\"lb-ft\"\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Hence the moment about line is -2.06 lb-ft\n" - ] - } - ], - "prompt_number": 7 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 2.2-6, Page No: 24" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "#Initilization of variables\n", - "\n", - "P_x=22 #N\n", - "P_y=23 #N\n", - "P_z=7 #N\n", - "p1=1 #m\n", - "p2=-1 #m\n", - "p3=-2 #m\n", - "\n", - "#Calculations\n", - "\n", - "Mx=(p2*P_z)-(p3*P_y) #N-m\n", - "My=-((p1*P_z)-(p3*P_x)) #N-m\n", - "Mz=(p1*P_y)-(p2*P_x) #N-m\n", - "\n", - "#Result\n", - "\n", - "print'The moment about the line from the origin is',round(Mx),\"i\",round(My),\"j +\",round(Mz),\"k N.m\"\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "The moment about the line from the origin is 39.0 i -51.0 j + 45.0 k N.m\n" - ] - } - ], - "prompt_number": 9 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 2.2-8, Page No: 24" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "#Initilization of variables\n", - "\n", - "F=10 #N Force couple\n", - "a=3 #m Moment arm\n", - "#Calculations\n", - "C=-F*a #N-m\n", - "\n", - "#Result\n", - "\n", - "print'The resultant couple is',round(C),\"N-m\" \n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "The resultant couple is -30.0 N-m\n" - ] - } - ], - "prompt_number": 10 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 2.2-11, Page No: 26" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "#Initilization of variables\n", - "\n", - "C1=20 #N-m\n", - "C2=40 #N-m\n", - "C3=-55 #N-m\n", - "\n", - "#Calculations\n", - "\n", - "C=sqrt(C1**2+C2**2+C3**2) #N-m\n", - "thetax=C2/C \n", - "thetay=C3/C\n", - "thetaz=C1/C\n", - "Cx=C*thetax #N-m\n", - "Cy=C*thetay #N-m\n", - "Cz=C*thetaz #N-m\n", - "\n", - "#Result\n", - "\n", - "print'Couple in vector notation is',round(Cx),\"i\",round(Cy),\"j +\",round(Cz),\"k N.m\"\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Couple in vector notation is 40.0 i -55.0 j + 20.0 k N.m\n" - ] - } - ], - "prompt_number": 11 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 2.2-12,Page No: 26" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "#Initilization of variables\n", - "\n", - "F1=25 #lb\n", - "F2=25 #lb\n", - "L1=14 #in\n", - "L2=20 #in\n", - "\n", - "#Calculations\n", - "\n", - "C=F1*L1 #lb-in\n", - "M=-F2*L2 #lb-in\n", - "\n", - "#Result\n", - "\n", - "print'The twisting couple is',round(C),\"lb-in\"\n", - "print'The bending moment is',round(M),\"lb-in\"\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "The twisting couple is 350.0 lb-in\n", - "The bending moment is -500.0 lb-in\n" - ] - } - ], - "prompt_number": 12 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 2.2-13, Page No: 27" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "#Initilization of variables\n", - "\n", - "rx=20 #in\n", - "ry=0 #in\n", - "rz=14 #in\n", - "Fx=0 #lb\n", - "Fy=-25 #lb\n", - "Fz=0 #lb\n", - "\n", - "#Calculation\n", - "\n", - "Mx=ry*Fz-rz*Fy #lb-in\n", - "My=rx*Fz-rz*Fx #lb-in\n", - "Mz=rx*Fy-ry*Fx #lb-in\n", - "\n", - "#Result\n", - "\n", - "print'The moment of the 25-lb force is',round(Mx),\"i +\",round(My),\"j\",round(Mz),\"k lb-in\"\n", - "\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "The moment of the 25-lb force is 350.0 i + 0.0 j -500.0 k lb-in\n" - ] - } - ], - "prompt_number": 14 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 2.2-14,Page No: 27" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "#Initilization of variables\n", - "\n", - "#Co-ordinates with respect to point O\n", - "x=17.9 #ft\n", - "y=6.91 #ft\n", - "z=46.3 #ft\n", - "Fz=-4000 #lb\n", - "Fy=0 #lb\n", - "\n", - "#Calculation\n", - "\n", - "Mx=y*Fz-z*Fy #lb-ft\n", - "\n", - "#Result\n", - "\n", - "print'The scalar coefficient of the i term is the moment about the X-Axis is',round(Mx,3),\"lb-ft\"\n", - "\n", - "# The answer given in the textbook is incorrect" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "The scalar coefficient of the i term is the moment about the X-Axis is -27640.0 lb-ft\n" - ] - } - ], - "prompt_number": 16 - } - ], - "metadata": {} - } - ] -} \ No newline at end of file -- cgit