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-{
- "cells": [
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "\n",
- "# Chapter 1: Introduction\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "\n",
- "\n",
- "### Problem1, pg 25"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 24,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "true length= 327.4905\n"
- ]
- }
- ],
- "source": [
- "\n",
- "\n",
- "l=20; #chain length\n",
- "e=0.03; #error\n",
- "l1=l+e; #L'\n",
- "ml=327; #measured length\n",
- "truel=(l1/l)*(ml) #true length\n",
- "print (\"true length=\",truel)"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "\n",
- "\n",
- "### Problem2, pg 25"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 25,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "amount of error= 0.20083682008368697\n"
- ]
- }
- ],
- "source": [
- "\n",
- "\n",
- "l1=20; #chain 1 length\n",
- "e=0.05; #error\n",
- "l11=l1+e; \n",
- "ml1=1200; #measured lenght\n",
- "tl=(l11/l1)*ml1; #true lenght of line\n",
- "\n",
- "l2=30; #chain 2 length\n",
- "ml2=1195; #measured length\n",
- "\n",
- "l21=(tl/ml2)*l2; \n",
- "ae=l21-l2; #amount of error\n",
- "print('amount of error=',ae)\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "\n",
- "\n",
- "### Problem3, pg 25"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 26,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "true length1= 901.35\n",
- "true length 2= 678.3750000000001\n",
- "true distance= 1579.7250000000001\n"
- ]
- }
- ],
- "source": [
- "\n",
- "\n",
- "l1=20\n",
- "e=(0.06/2) #consider mean elongation\n",
- "l11=l1+e;\n",
- "ml=900;\n",
- "tl=(l11/l1)*ml;\n",
- "print('true length1=',tl)\n",
- "l2=20;\n",
- "e2=(0.06+0.14)/2;\n",
- "l21=20+e2;\n",
- "ml2=1575-ml;\n",
- "\n",
- "tl2=(l21/l2)*ml2;\n",
- "print('true length 2=',tl2)\n",
- "td=tl+tl2;\n",
- "print('true distance=',td)\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "\n",
- "\n",
- "### Problem4, pg26"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 27,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "distance between stations on map= 35.0 centimeters\n",
- "true distance on ground = 1750.0 meters\n"
- ]
- }
- ],
- "source": [
- "\n",
- "\n",
- "s=100;\n",
- "dsm=3500;\n",
- "adsm=dsm/s;\n",
- "\n",
- "print('distance between stations on map=',adsm,'centimeters')\n",
- "\n",
- "actuals=50;\n",
- "td=adsm*actuals;\n",
- "\n",
- "print('true distance on ground =',td,'meters')\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "\n",
- "\n",
- "### Problem 5, pg 26"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 28,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "actual area present= 132.01840894148586 square cm\n",
- "true area= 212286.9217619987 square meters\n"
- ]
- }
- ],
- "source": [
- "\n",
- "\n",
- "present=19.5\n",
- "actual=20;\n",
- "cm1=actual/present;\n",
- "cm12=(actual*actual)/(present*present);\n",
- "pm=125.5;\n",
- "apm=pm*cm12;\n",
- "print('actual area present=',apm,'square cm');\n",
- "\n",
- "cm=40;\n",
- "cm2=cm*cm;\n",
- "\n",
- "area=cm2*apm;\n",
- "scale=(20.05*20.05)/(20*20);\n",
- "ta=scale*area;\n",
- "print('true area=',ta,'square meters');\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "\n",
- "\n",
- "### Problem 6, pg 27"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 29,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- " for n=1\n",
- "the temperature correction is 0.00396 meters\n",
- "the pull corretion is 0.002380952380952381 meters\n",
- "the sag correction is -0.0026680499999999995 meters\n",
- "the total correction is 0.0036729023809523816 meters\n",
- "the true length is 780.0954954619046\n",
- " for n=2\n",
- "the temperature correction is 0.00396 meters\n",
- "the pull corretion is 0.002380952380952381 meters\n",
- "the sag correction is -0.0006670124999999999 meters\n",
- "the total correction is 0.005673939880952382 meters\n",
- "the true length is 780.1475224369049\n"
- ]
- }
- ],
- "source": [
- "\n",
- "\n",
- "from __future__ import division\n",
- "\n",
- "L=30;\n",
- "t0=20;\n",
- "p0=10;\n",
- "pm=15;\n",
- "tm=32;\n",
- "a=0.03;\n",
- "al=11/(1000000);\n",
- "E=2.1*(1000000);\n",
- "w=0.693;\n",
- "ml=780;\n",
- "n=1;\n",
- "print(' for n=1')\n",
- "ct=al*L*(tm-t0);\n",
- "print('the temperature correction is',ct,'meters');\n",
- "\n",
- "cp=(pm-p0)*L/(a*E);\n",
- "print('the pull corretion is ',cp,' meters');\n",
- "\n",
- "cs=-L*w*w/(24*pm*pm*n*n);\n",
- "print('the sag correction is ',cs,'meters');\n",
- "\n",
- "e=ct+cp+cs;\n",
- "print('the total correction is ',e,'meters');\n",
- "\n",
- "l1=L+e;\n",
- "\n",
- "truelength=(l1/L)*ml;\n",
- "print('the true length is ',truelength);\n",
- "\n",
- "n=2;\n",
- "\n",
- "print(' for n=2')\n",
- "ct=al*L*(tm-t0);\n",
- "print('the temperature correction is',ct,'meters');\n",
- "\n",
- "cp=(pm-p0)*L/(a*E);\n",
- "print('the pull corretion is ',cp,' meters');\n",
- "\n",
- "cs=-L*w*w/(24*pm*pm*n*n);\n",
- "print('the sag correction is ',cs,'meters');\n",
- "\n",
- "e=ct+cp+cs;\n",
- "print('the total correction is ',e,'meters');\n",
- "\n",
- "l1=L+e;\n",
- "\n",
- "truelength=(l1/L)*ml;\n",
- "print('the true length is ',truelength);\n",
- "\n",
- "\n",
- "\n",
- "\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "\n",
- "\n",
- "### Problem 7, pg 28"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 30,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "the temperature correction is 0.0021999999999999997 meters\n",
- "the pull corretion is -0.002380952380952381 meters\n",
- "the sag correction is -0.0013333333333333335 meters\n",
- "the total correction is -0.001514285714285715 meters\n",
- "the horizontal distance is 19.998485714285714\n"
- ]
- }
- ],
- "source": [
- "\n",
- "from __future__ import division\n",
- "\n",
- "L=20;\n",
- "t0=20;\n",
- "p0=15;\n",
- "p=10;\n",
- "tm=30;\n",
- "a=0.02;\n",
- "al=11/(1000000);\n",
- "E=2.1*(1000000);\n",
- "w=0.4;\n",
- "\n",
- "n=1;\n",
- "ct=al*L*(tm-t0);\n",
- "print('the temperature correction is',ct,'meters');\n",
- "\n",
- "cp=(p-p0)*L/(a*E);\n",
- "print('the pull corretion is ',cp,' meters');\n",
- "\n",
- "cs=-L*w*w/(24*p*p*n*n);\n",
- "print('the sag correction is ',cs,'meters');\n",
- "\n",
- "e=ct+cp+cs;\n",
- "print('the total correction is ',e,'meters');\n",
- "\n",
- "hd=L+e;\n",
- "\n",
- "print('the horizontal distance is ',hd);\n",
- "\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "\n",
- "\n",
- "### Problem 8, pg 29"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 31,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "for p=5 case\n",
- "the temperature correction is 0.00165 meters\n",
- "the pull corretion is 0.0 meters\n",
- "the sag correction is -0.02178 meters\n",
- "the total correction is -0.020130000000000002 meters\n",
- "the horizontal distance is 29.97987\n",
- "for p=11 case\n",
- "the temperature correction is 0.00165 meters\n",
- "the pull corretion is 0.004285714285714286 meters\n",
- "the sag correction is -0.0045000000000000005 meters\n",
- "the total correction is 0.001435714285714285 meters\n",
- "the horizontal distance is 30.001435714285716\n"
- ]
- }
- ],
- "source": [
- "\n",
- "from __future__ import division\n",
- "\n",
- "L=30;\n",
- "t0=20;\n",
- "p0=5;\n",
- "tm=25;\n",
- "a=0.02;\n",
- "al=11/(1000000);\n",
- "E=2.1*(1000000);\n",
- "float(E);\n",
- "float(al);\n",
- "w1=22;\n",
- "w=0.66;\n",
- "n=1;\n",
- "\n",
- "p=5;\n",
- "print('for p=5 case');\n",
- "\n",
- "ct=al*L*(tm-t0);\n",
- "float(ct);\n",
- "print('the temperature correction is',ct,'meters');\n",
- "\n",
- "cp=(p-p0)*L/(a*E);\n",
- "print('the pull corretion is ',cp,' meters');\n",
- "\n",
- "cs=-L*w*w/(24*p*p*n*n);\n",
- "print('the sag correction is ',cs,'meters');\n",
- "\n",
- "e=ct+cp+cs;\n",
- "print('the total correction is ',e,'meters');\n",
- "\n",
- "hd=L+e;\n",
- "\n",
- "print('the horizontal distance is ',hd);\n",
- "\n",
- "p=11;\n",
- "print('for p=11 case');\n",
- "\n",
- "ct=al*L*(tm-t0);\n",
- "print('the temperature correction is',ct,'meters');\n",
- "\n",
- "cp=(p-p0)*L/(a*E);\n",
- "print('the pull corretion is ',cp,' meters');\n",
- "\n",
- "cs=-L*w*w/(24*p*p*n*n);\n",
- "print('the sag correction is ',cs,'meters');\n",
- "\n",
- "e=ct+cp+cs;\n",
- "print('the total correction is ',e,'meters');\n",
- "\n",
- "hd=L+e;\n",
- "\n",
- "print('the horizontal distance is ',hd);\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "\n",
- "\n",
- "### Problem 9, pg 30"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 32,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "the temperature correction is 0.00264 meters\n",
- "the pull corretion is 0.003492063492063492 meters\n",
- "the sag correction is -0.001171875 meters\n",
- "the total correction is 0.004960188492063492 meters\n",
- "the true length is 680.1686464087301\n"
- ]
- }
- ],
- "source": [
- "from __future__ import division\n",
- "\n",
- "L=20;\n",
- "t0=20;\n",
- "p0=5;\n",
- "pm=16;\n",
- "tm=32;\n",
- "a=0.03;\n",
- "al=11/(1000000);\n",
- "E=2.1*(1000000);\n",
- "w=0.6;\n",
- "ml=680;\n",
- "n=1;\n",
- "\n",
- "\n",
- "ct=al*L*(tm-t0);\n",
- "print('the temperature correction is',ct,'meters');\n",
- "\n",
- "cp=(pm-p0)*L/(a*E);\n",
- "print('the pull corretion is ',cp,' meters');\n",
- "\n",
- "cs=-L*w*w/(24*pm*pm*n*n);\n",
- "print('the sag correction is ',cs,'meters');\n",
- "\n",
- "e=ct+cp+cs;\n",
- "print('the total correction is ',e,'meters');\n",
- "\n",
- "l1=L+e;\n",
- "\n",
- "truelength=(l1/L)*ml;\n",
- "print('the true length is ',truelength);"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "\n",
- "\n",
- "### Problem 10, pg 31"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 33,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "the temperature correction is 0.0061600000000000005 meters\n",
- "the pull corretion is -0.0033333333333333335 meters\n",
- "the sag correction is -0.008979994074074075 meters\n",
- "the total correction is -0.006153327407407408 meters\n",
- "the correctt distance is 679.8505620486773\n"
- ]
- }
- ],
- "source": [
- "\n",
- "\n",
- "\n",
- "L=28;\n",
- "t0=20;\n",
- "p0=10;\n",
- "pm=5;\n",
- "tm=40;\n",
- "a=0.02;\n",
- "al=11/(1000000);\n",
- "E=2.1*(1000000);\n",
- "w1=470;\n",
- "ml=680;\n",
- "n=1;\n",
- "\n",
- "w=(470*28)/30;\n",
- "w=w/1000;\n",
- "\n",
- "ct=al*L*(tm-t0);\n",
- "print('the temperature correction is',ct,'meters');\n",
- "\n",
- "cp=(pm-p0)*L/(a*E);\n",
- "print('the pull corretion is ',cp,' meters');\n",
- "\n",
- "cs=-L*w*w/(24*pm*pm*n*n);\n",
- "print('the sag correction is ',cs,'meters');\n",
- "\n",
- "e=ct+cp+cs;\n",
- "print('the total correction is ',e,'meters');\n",
- "\n",
- "l1=L+e;\n",
- "\n",
- "dis=(l1/L)*ml;\n",
- "print('the correctt distance is ',dis);\n",
- "\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "\n",
- "\n",
- "### Problem 11, pg32"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 34,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "from fig p.1.1\n",
- "87\n",
- " the value of EF is 135.34797293685585 meters\n",
- " the value of DF is 103.68256255569626 meters\n",
- " the value of EG is 205.85953773426738 meters\n"
- ]
- }
- ],
- "source": [
- "#ch-1, problems on obstacles in chaining, page-32,pb-1\n",
- "\n",
- "from __future__ import division\n",
- "\n",
- "import math;\n",
- "\n",
- "print('from fig p.1.1')\n",
- "DE=87;\n",
- "print(DE);\n",
- "EF=float(87/(math.cos(50*(math.pi/180))))\n",
- "\n",
- "DF=87*(math.tan(50*(math.pi/180)))\n",
- "\n",
- "EG=87/(math.cos(65*(math.pi/180)))\n",
- "\n",
- "\n",
- "print(' the value of EF is ',EF,'meters');\n",
- "\n",
- "print(' the value of DF is ',DF,'meters');\n",
- "\n",
- "print(' the value of EG is ',EG,'meters'); \n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "\n",
- "\n",
- "### Problem 12, pg 33"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 35,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "width of river is 227.23577649516116 meters\n"
- ]
- }
- ],
- "source": [
- "#ch-1 page-33, pb-2\n",
- "import math\n",
- "\n",
- "\n",
- "x=(380.0285/2.5754);\n",
- "\n",
- "PA=x;\n",
- "AQ=367-x;\n",
- "al=180-(36.45+86.55);\n",
- "bt=86.35-40-35;\n",
- "\n",
- "TA=AQ*math.tan(46*(math.pi/180));\n",
- "\n",
- "print('width of river is ',TA,'meters');\n",
- "\n",
- "\n",
- "\n",
- "\n",
- "\n",
- "\n",
- "\n",
- "\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "### Problem 13, pg 34"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 36,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "width of river is 316.63370603933663 meters\n"
- ]
- }
- ],
- "source": [
- "# cha-1 page-34 pb-3\n",
- "\n",
- "from __future__ import division\n",
- "\n",
- "import math\n",
- "\n",
- "x=(849.224)/2.6196\n",
- "\n",
- "\n",
- "\n",
- "PA=x;\n",
- "AQ=517-x;\n",
- "al=78-33.67;\n",
- "bt=180-(43.333+78);\n",
- "\n",
- "TA=AQ*math.tan(58.66*(math.pi/180));\n",
- "\n",
- "print('width of river is ',TA,'meters');\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "\n",
- "\n",
- "### Problem 14, pg35"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 37,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "chainage of C is 277.08203230275507 meters\n"
- ]
- }
- ],
- "source": [
- "# cha-1 page-34,35 pb-4\n",
- "\n",
- "from __future__ import division\n",
- "\n",
- "import math\n",
- "\n",
- "al=288.5-(48.5+180);\n",
- "bt=90-48.5;\n",
- "BAC=360-41.5;\n",
- "\n",
- "AC=40*(math.tan(60*(math.pi/180)));\n",
- "\n",
- "A=207.8;\n",
- "\n",
- "C=A+AC;\n",
- "\n",
- "print('chainage of C is',C,'meters');\n",
- " \n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "\n",
- "### Problem 15, pg36"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 38,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "width of the river is 74.99999999999999 meters\n"
- ]
- }
- ],
- "source": [
- "\n",
- "\n",
- "import math\n",
- "BB=287.25;\n",
- "MC=62.25;\n",
- "al=(BB-180)-MC;\n",
- "BM=75;\n",
- "BC=BM*(math.tan(45*(math.pi/180)))\n",
- "\n",
- "print('width of the river is ',BC,'meters')\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "\n",
- "### Problem 16, pg 36"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 39,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "AB= 241.8677324489565\n"
- ]
- }
- ],
- "source": [
- "#CH-1 PAGE-36 PB-6;\n",
- "\n",
- "from __future__ import division\n",
- "import math\n",
- "\n",
- "\n",
- "AC=250;\n",
- "AD=300;\n",
- "DB=150;\n",
- "BC=100;\n",
- "DC=DB+BC;\n",
- "\n",
- "cosal=(AD*AD+DC*DC-(AC*AC))/(2*AD*DC);\n",
- "\n",
- "AB=math.sqrt((AD*AD+DB*DB)-2*(AD*DB*cosal));\n",
- "\n",
- "print('AB=',AB);\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "\n",
- "\n",
- "### Problem 17, pg37"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 40,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "al 63.43494882292201\n",
- "bt= 26.56505117707799\n",
- "k= 0.5\n",
- "chinage of c is 375.5 meters\n"
- ]
- }
- ],
- "source": [
- "# ch-1 page-36,37 pb-7\n",
- "\n",
- "from __future__ import division\n",
- "\n",
- "\n",
- "import math\n",
- "\n",
- "BE=50;\n",
- "AB=25;\n",
- "AEC=157.5-67.5;\n",
- "\n",
- "al=math.atan2(BE,AB);\n",
- "al=al*(180/math.pi);\n",
- "\n",
- "print('al',al)\n",
- "\n",
- "bt=90-al;\n",
- "print('bt=',bt);\n",
- "k=(math.tan(bt*math.pi/180))\n",
- "\n",
- "print('k=',k)\n",
- "BC=BE/k;\n",
- "C=275.5+BC;\n",
- "print('chinage of c is',C,'meters')\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "\n",
- "\n",
- "### Problem 18, pg38"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 41,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "measured length is 79.71623152917896 meters\n",
- "true length is 79.61658623976749 meters\n"
- ]
- }
- ],
- "source": [
- "#ch-1 page -37,38 pb-1\n",
- "\n",
- "from __future__ import division\n",
- "\n",
- "import math\n",
- "\n",
- "\n",
- "a=17.5;\n",
- "b=19.3;\n",
- "c=17.8;\n",
- "d=13.6;\n",
- "e=12.9;\n",
- "\n",
- "da=2.35;\n",
- "db=4.20;\n",
- "dc=2.95;\n",
- "dd=1.65;\n",
- "de=3.25;\n",
- "\n",
- "AB=math.sqrt((a*a)-(da*da));\n",
- "BC=math.sqrt((b*b)-(db*db));\n",
- "CD=math.sqrt((c*c)-(dc*dc));\n",
- "DE=math.sqrt((d*d)-(dd*dd));\n",
- "EF=math.sqrt((e*e)-(de*de));\n",
- "\n",
- "total=AB+BC+CD+DE+EF;\n",
- "print('measured length is ',total,'meters');\n",
- "\n",
- "e=0.025;\n",
- "l=20;\n",
- "l1=l-e;\n",
- "ml=total;\n",
- "\n",
- "tl=(l1/l)*ml;\n",
- "\n",
- "print('true length is ',tl,'meters');\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "\n",
- "\n",
- "### Problem 19, pg 38"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 42,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "measured length is 531.2592044589876 meters\n",
- "true length is 532.587352470135 meters\n"
- ]
- }
- ],
- "source": [
- "#ch-1 page -38 pb-2\n",
- "\n",
- "from __future__ import division\n",
- "\n",
- "import math\n",
- "\n",
- "ab=550;\n",
- "AB=ab*(math.cos(15*(math.pi/180)));\n",
- "\n",
- "l=20;\n",
- "e=0.05;\n",
- "l1=l+e;\n",
- "ml=AB;\n",
- "print('measured length is ',ml,'meters');\n",
- "\n",
- "tl=(l1/l)*ml;\n",
- "\n",
- "print('true length is ',tl,'meters');\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "\n",
- "\n",
- "### Problem 20, pg39"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 43,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "horizontal distance 1 is 275.74617084341827 meters\n",
- "horizontal distance 2 is 278.61041325879694 meters\n",
- "horizontal distance 3 is 279.8856909525744 meters\n"
- ]
- }
- ],
- "source": [
- "#ch-1 page -38,39 pb-3\n",
- "\n",
- "from __future__ import division\n",
- "\n",
- "import math\n",
- "\n",
- "ab=280;\n",
- "\n",
- "AB1=ab*(math.cos(10*(math.pi/180)));\n",
- "\n",
- "print('horizontal distance 1 is ',AB1,'meters');\n",
- "\n",
- "cosal=(10/(math.sqrt(101)));\n",
- "\n",
- "AB2=ab*cosal;\n",
- "\n",
- "print('horizontal distance 2 is ',AB2,'meters');\n",
- "\n",
- "bb=8;\n",
- "AB3=math.sqrt(ab*ab-(bb*bb));\n",
- "\n",
- "print('horizontal distance 3 is ',AB3,'meters');\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "\n",
- "\n",
- "### Problem 21, pg40"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 44,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "measured length is 101.35201880331583 meters\n",
- "true horizontal distance is 101.26755878764641 meters\n"
- ]
- }
- ],
- "source": [
- "#ch-1 page -39,40 pb-4\n",
- "\n",
- "from __future__ import division\n",
- "\n",
- "import math\n",
- "\n",
- "a=28.7;\n",
- "b=23.4;\n",
- "c=20.9;\n",
- "d=29.6;\n",
- "\n",
- "ag=5;\n",
- "bg=7;\n",
- "cg=10;\n",
- "dg=12;\n",
- "\n",
- "AB=a*(math.cos(ag*(math.pi/180)));\n",
- "\n",
- "BC=b*(math.cos(bg*(math.pi/180)));\n",
- "\n",
- "CD=c*(math.cos(cg*(math.pi/180)));\n",
- "\n",
- "DE=d*(math.cos(dg*(math.pi/180)));\n",
- "\n",
- "total=AB+BC+CD+DE;\n",
- "\n",
- "ml=total;\n",
- "\n",
- "print('measured length is ',ml,'meters');\n",
- "\n",
- "l=30;\n",
- "e=0.025;\n",
- "l1=l-e;\n",
- "\n",
- "tl=(l1/l)*ml;\n",
- "\n",
- "print('true horizontal distance is ',tl,'meters');\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "\n",
- "\n",
- "### Problem 22, pg 40"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 45,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "theta1= 30.009552668941378\n",
- "theta2= 106 degrees 32.534711618974654 minutes\n"
- ]
- }
- ],
- "source": [
- "#ch-1 page -40 pb-1\n",
- "\n",
- "from __future__ import division\n",
- "\n",
- "import math\n",
- "\n",
- "\n",
- "a=23;\n",
- "b=16.5;\n",
- "c=12;\n",
- "\n",
- "\n",
- "t1=math.acos((a*a+b*b-(c*c))/(2*a*b));\n",
- "t1=t1*(180/math.pi);\n",
- "\n",
- "print('theta1=',t1);\n",
- "\n",
- "t2=math.acos((c*c+b*b-(a*a))/(2*c*b));\n",
- "t2=t2*(180/math.pi);\n",
- "dg=int(t2)\n",
- "mi=t2-int(t2)\n",
- "mi=(mi*60);\n",
- "print('theta2=',dg,'degrees',mi,'minutes');\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "\n",
- "\n",
- "### Problem 23, pg 41"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 46,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "theta1= 5 degrees 46.94403663966165 minutes\n",
- "theta2= 165 degrees 26.421472313304548 minutes\n"
- ]
- }
- ],
- "source": [
- "#ch-1 page -40,41 pb-2\n",
- "\n",
- "from __future__ import division\n",
- "\n",
- "import math\n",
- "\n",
- "\n",
- "a=257;\n",
- "b=156;\n",
- "c=103;\n",
- "\n",
- "\n",
- "t1=math.acos((a*a+b*b-(c*c))/(2*a*b));\n",
- "t1=t1*(180/math.pi);\n",
- "\n",
- "dg1=int(t1)\n",
- "mi1=t1-int(t1)\n",
- "mi1=(mi1*60);\n",
- "print('theta1=',dg1,'degrees',mi1,'minutes');\n",
- "\n",
- "\n",
- "t2=math.acos((c*c+b*b-(a*a))/(2*c*b));\n",
- "t2=t2*(180/math.pi);\n",
- "dg=int(t2)\n",
- "mi=t2-int(t2)\n",
- "mi=(mi*60);\n",
- "print('theta2=',dg,'degrees',mi,'minutes');\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "\n",
- "\n",
- "### Problem 24, pg 42"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 47,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "RF is 0.025\n",
- "length of scale is 15.000000000000002 meters\n"
- ]
- }
- ],
- "source": [
- "#CH-1 PAGE-42 PB-1;\n",
- "\n",
- "from __future__ import division\n",
- "import math\n",
- "\n",
- "\n",
- "sc=100;\n",
- "a=2.5;\n",
- "m=6;\n",
- "\n",
- "RF=(a/sc);\n",
- "\n",
- "print('RF is ',RF);\n",
- "\n",
- "length=RF*m*sc;\n",
- "\n",
- "print('length of scale is ',length,'meters');\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "\n",
- "\n",
- "### Problem 25, pg 42"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 48,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "RF= 0.0002\n",
- "length of final scale is 700.0\n"
- ]
- }
- ],
- "source": [
- "#CH-1 PAGE-42,43 PB-2;\n",
- "\n",
- "from __future__ import division\n",
- "import math\n",
- "\n",
- "\n",
- "sc=100;\n",
- "area=93750;\n",
- "l=6.0;\n",
- "b=6.25;\n",
- "\n",
- "cm2=(area)/(l*b);\n",
- "\n",
- "cm=math.sqrt(cm2);\n",
- "RF=1/(sc*cm);\n",
- "\n",
- "print('RF=',RF);\n",
- "\n",
- "leng=14;\n",
- "leng=leng*cm;\n",
- "\n",
- "print('length of final scale is ',leng);\n",
- "\n",
- "\n",
- "\n",
- "\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "### Problem 26, pg 43"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 49,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "RF= 0.00025\n",
- "length of scale is 600.0 meters\n"
- ]
- }
- ],
- "source": [
- "#CH-1 PAGE-43 PB-3;\n",
- "\n",
- "from __future__ import division\n",
- "import math\n",
- "\n",
- "l=1.2;\n",
- "al=30;\n",
- "al=al/100;\n",
- "sc=1000;\n",
- "\n",
- "\n",
- "RF=(al)/(sc*l);\n",
- "print('RF=',RF);\n",
- "\n",
- "\n",
- "cm1=(1/RF)/(100);\n",
- "\n",
- "lsc=15;\n",
- "cm15=lsc*cm1;\n",
- "\n",
- "print('length of scale is ',cm15,'meters');\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "\n",
- "\n",
- "### Problem 27, pg44"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 50,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "1cm= 30.0\n",
- "RF= 0.03333333333333333\n",
- "length of scale is 13.333333333333334 CENTIMETERS\n"
- ]
- }
- ],
- "source": [
- "#CH-1 PAGE-44 PB-4;\n",
- "\n",
- "from __future__ import division\n",
- "import math\n",
- "\n",
- "\n",
- "sc=100;\n",
- "hect=10000;\n",
- "area=0.45*hect;\n",
- "\n",
- "cm1=(area)/5;\n",
- "cm=math.sqrt(cm1);\n",
- "\n",
- "print('1cm=',cm);\n",
- "RF=1/(cm);\n",
- "print('RF=',RF);\n",
- "\n",
- "\n",
- "maxl=400;\n",
- "\n",
- "los=(RF*maxl);\n",
- "\n",
- "print('length of scale is',los,'CENTIMETERS');\n"
- ]
- }
- ],
- "metadata": {
- "kernelspec": {
- "display_name": "Python 2",
- "language": "python",
- "name": "python2"
- },
- "language_info": {
- "codemirror_mode": {
- "name": "ipython",
- "version": 2
- },
- "file_extension": ".py",
- "mimetype": "text/x-python",
- "name": "python",
- "nbconvert_exporter": "python",
- "pygments_lexer": "ipython2",
- "version": "2.7.11"
- }
- },
- "nbformat": 4,
- "nbformat_minor": 0
-}
generated by cgit (git 2.34.1) at 2025-01-24 14:22:54 +0000