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"#Chapter-1, Section-1.22, pg-24, problem 1\n",
"\n",
"L=20; #True length of the chain is defined as L\n",
"print(' the length of the chain is ',L,'meters'); #Print L\n",
"\n",
"E=0.03; # Error in chain\n",
"print(' the error in the chain is ',E); # Print E\n",
"\n",
"ML=327; # Measured length is defined as ML\n",
"print(' the measured length ',ML,'meters'); #print ML\n",
"\n",
"tlength=((L+E)/L)*ML; #True length of L calculated\n",
"print(' the ture length of the chain is ',tlength,'meters') # Print true length.\n"
]
},
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"# Chapter-1, Section-1.23, pg 39, Problem- 4\n",
"\n",
"import math # Library imported.\n",
"\n",
"ab=28.7*math.cos(5*(math.pi/180)); #AB calculated using trigonometry\n",
"b1c=23.4*math.cos(7*(math.pi/180)); #B'C calculated\n",
"c1d=20.9*math.cos(10*(math.pi/180)); # C'D calculated\n",
"d1e=29.6*math.cos(12*(math.pi/180)) ; # D'E calculated\n",
"print(' the value of ab is ',ab,'meters'); #AB printed\n",
"\n",
"print(' the value of b1c is ',b1c,'meters'); #B'C printed\n",
"\n",
"print(' the value of c1d is ',c1d,'meters'); #C'D printed\n",
"\n",
"print(' the value of d1e is ',d1e,'meters'); #D'E printed\n",
"\n",
"\n",
"total=ab+b1c+c1d+d1e; #total calculated.\n",
"print('the total distance is ',total,'meters') #total printed\n"
]
},
{
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"# Chapter 1, Section 1.22, Problem 6, pg 27.\n",
"\n",
"L=30; # Length of tape\n",
"t0=20; # Temperature of tape\n",
"p0=10; # Pull under which tape is present\n",
"pm=15; # Measured line pull\n",
"tm=32; # Mean temperature.\n",
"a=0.03; # Cross-sectional area\n",
"al=11/(1000000); # Temperature correction co-efficient\n",
"E=2.1*(1000000); # E for steel\n",
"w=0.693; #Total weight\n",
"ml=780; #measured length\n",
"\n",
"n=1; #n defined\n",
"print(' for n=1'); #print n value\n",
"ct=al*L*(tm-t0); # temperature correction calculated\n",
"print('the temperature correction is',ct,'meters'); # print temperature correction\n",
"\n",
"cp=(pm-p0)*L/(a*E); #pull correction calculated\n",
"print('the pull corretion is ',cp,' meters'); #print pull correction\n",
"\n",
"cs=-L*w*w/(24*pm*pm*n*n); #sag correction calculated\n",
"print('the sag correction is ',cs,'meters'); # print sag correction\n",
"\n",
"e=ct+cp+cs; #total correction calculated\n",
"print('the total correction is ',e,'meters'); # total correction printed\n",
"\n",
"l1=L+e; # correction in length =sum of correction and measured length \n",
"\n",
"truelength=(l1/L)*ml; #true length calculated\n",
"print('the true length is ',truelength); #true length printed\n",
"\n",
"n=2; #new n defined\n",
"\n",
"print(' for n=2'); # print n value\n",
"ct=al*L*(tm-t0); # temperature correction calculated\n",
"print('the temperature correction is',ct,'meters'); # print temperature correction\n",
"\n",
"\n",
"cp=(pm-p0)*L/(a*E); #pull correction calculated\n",
"print('the pull corretion is ',cp,' meters'); #print pull correction\n",
"\n",
"cs=-L*w*w/(24*pm*pm*n*n); #sag correction calculated\n",
"print('the sag correction is ',cs,'meters'); #print sag correction\n",
"\n",
"e=ct+cp+cs; #total correction calculated\n",
"print('the total correction is ',e,'meters'); # total correction printed\n",
"\n",
"l1=L+e; #correction in length =sum of correction and measured length \n",
"\n",
"truelength=(l1/L)*ml; #true length calculated\n",
"print('the true length is ',truelength); #true length printed\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
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"# Chapter-2, Section-2.4, Problem 2, Page number 56\n",
"\n",
"import math #Library to be used is imported\n",
"\n",
"cd=(15-15*math.cos(3*(math.pi/180)))/10; #displacement perpendicular to chain line.\n",
"\n",
"print('the required displacement perpendicular to char line is ',cd); #Print cd\n",
"bc=15*(math.sin(3*(math.pi/180)))/10; #displacement parallel to chain line.\n",
"print('the displacemenet parllel to the chain line is ',bc) #print bc"
]
}
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