1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
|
{
"metadata": {
"name": "CH9"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 9: Phase Diagram"
]
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Example 9.3 Page No 273"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#(a)Determination of Phases Present\n",
"#(b)Computation of Phase Compositions\n",
"\n",
"#Given\n",
"C1=40.0 # Overall alloy composition\n",
"Cb=98.0\n",
"Ca=10.0\n",
"\n",
"#Calculation\n",
"Wa=(Cb-C1)/(Cb-Ca)\n",
"Wb=(C1-Ca)/(Cb-Ca)\n",
"d_Sn=7.24 # in g/cm**3 density of tin\n",
"d_Pb=11.23 # in g/cm**3 density of lead\n",
"Ca_Sn=10.0\n",
"Ca_Pb=90.0\n",
"Cb_Sn=98.0\n",
"Cb_Pb=2.0\n",
"d_a=100/((Ca_Sn/d_Sn)+(Ca_Pb/d_Pb))\n",
"d_b=100/((Cb_Sn/d_Sn)+(Cb_Pb/d_Pb))\n",
"Va=Wa/(d_a*((Wa/d_a)+(Wb/d_b)))\n",
"Vb=Wb/(d_b*((Wa/d_a)+(Wb/d_b)))\n",
"\n",
"\n",
"#Result\n",
"print\"Mass fractions for alpha and beta phases are respectively\",round(Wa,2),\"and\",round(Wb,2)\n",
"print\"Density of alpha phase is \",round(d_a,2),\"g/cm**3\"\n",
"print\"Density of beta phase is \",round(d_b,2),\"g/cm**3\"\n",
"print\"Volume fraction of alpha phase \",round(Va,2),\"g/cm**3\"\n",
"print\"Volume fraction of beta phase \",round(Vb,2)\n",
"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Mass fractions for alpha and beta phases are respectively 0.66 and 0.34\n",
"Density of alpha phase is 10.64 g/cm**3\n",
"Density of beta phase is 7.29 g/cm**3\n",
"Volume fraction of alpha phase 0.57 g/cm**3\n",
"Volume fraction of beta phase 0.43\n"
]
}
],
"prompt_number": 7
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Example 9.4 Page No 299"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#(a)Determining ferrite and cementite phase\n",
"#(b)Determining proeutectoid ferrite and pearlite\n",
"#(c)Determining eutectoid ferrite\n",
"\n",
"#Given\n",
"C0=0.35\n",
"Ca=0.022\n",
"C_Fe3C=6.7\n",
"\n",
"#Calculation\n",
"Wa=(C_Fe3C-C0)/(C_Fe3C-Ca)\n",
"W_Fe3C=(C0-Ca)/(C_Fe3C-Ca)\n",
"C_p=0.76\n",
"Wp=(C0-Ca)/(C_p-Ca)\n",
"W_a=(C_p-C0)/(C_p-Ca)\n",
"Wp=(C0-Ca)/(C_p-Ca)\n",
"W_a=(C_p-C0)/(C_p-Ca)\n",
"Wa=(C_Fe3C-C0)/(C_Fe3C-Ca)\n",
"Wae=Wa-W_a\n",
"\n",
"#result\n",
"print\"Mass fraction of total ferritic phase is\",round(Wa,2)\n",
"print\"Mass fraction of Fe3C is\",round(W_Fe3C,2)\n",
"print\"Mass fraction of Pearlite is\",round(Wp,2)\n",
"print\"ass fraction of proeutectoid ferrite is\",round(W_a,2)\n",
"print\"Mass fraction of eutectoid ferrite is\",round(Wae,2)\n",
"\n",
"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Mass fraction of total ferritic phase is 0.95\n",
"Mass fraction of Fe3C is 0.05\n",
"Mass fraction of Pearlite is 0.44\n",
"ass fraction of proeutectoid ferrite is 0.56\n",
"Mass fraction of eutectoid ferrite is 0.4\n"
]
}
],
"prompt_number": 10
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
|
