{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Comparació propietats dels metalls"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import pandas as pd"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Nom | \n",
" Densitat | \n",
" Punt de fusió | \n",
" Conductivitat tèrmica | \n",
" Dilatació tèrmica | \n",
" Mòdul elàstic | \n",
" Límit elàstic | \n",
" Resistència al trencament | \n",
" Allargament | \n",
" Duresa | \n",
" Resistivitat | \n",
"
\n",
" \n",
" \n",
" \n",
" 0 | \n",
" Cu | \n",
" 8.960 | \n",
" 1084.62 | \n",
" 401.0 | \n",
" 16.5 | \n",
" 110 | \n",
" 69.00 | \n",
" 220.0 | \n",
" 45 | \n",
" 874.0 | \n",
" 16.78 | \n",
"
\n",
" \n",
" 1 | \n",
" Al | \n",
" 2.700 | \n",
" 660.32 | \n",
" 237.0 | \n",
" 23.1 | \n",
" 70 | \n",
" 17.00 | \n",
" 55.0 | \n",
" 25 | \n",
" 245.0 | \n",
" 28.20 | \n",
"
\n",
" \n",
" 2 | \n",
" Mg | \n",
" 1.738 | \n",
" 650.00 | \n",
" 156.0 | \n",
" 24.8 | \n",
" 45 | \n",
" 41.00 | \n",
" 165.0 | \n",
" 6 | \n",
" 260.0 | \n",
" 43.90 | \n",
"
\n",
" \n",
" 3 | \n",
" Ti | \n",
" 4.506 | \n",
" 1670.00 | \n",
" 21.9 | \n",
" 8.6 | \n",
" 116 | \n",
" 240.00 | \n",
" 330.0 | \n",
" 30 | \n",
" 716.0 | \n",
" 420.00 | \n",
"
\n",
" \n",
" 4 | \n",
" Pb | \n",
" 11.340 | \n",
" 327.46 | \n",
" 35.3 | \n",
" 28.9 | \n",
" 16 | \n",
" 3.50 | \n",
" 19.6 | \n",
" 50 | \n",
" 38.3 | \n",
" 208.00 | \n",
"
\n",
" \n",
" 5 | \n",
" Sn | \n",
" 7.365 | \n",
" 231.93 | \n",
" 66.8 | \n",
" 22.0 | \n",
" 50 | \n",
" 2.55 | \n",
" 34.3 | \n",
" 40 | \n",
" 350.0 | \n",
" 115.00 | \n",
"
\n",
" \n",
" 6 | \n",
" Zn | \n",
" 7.140 | \n",
" 419.53 | \n",
" 116.0 | \n",
" 30.2 | \n",
" 108 | \n",
" 7.00 | \n",
" 117.0 | \n",
" 32 | \n",
" 412.0 | \n",
" 59.00 | \n",
"
\n",
" \n",
" 7 | \n",
" Ni | \n",
" 8.908 | \n",
" 1455.00 | \n",
" 90.9 | \n",
" 13.4 | \n",
" 200 | \n",
" 138.00 | \n",
" 483.0 | \n",
" 40 | \n",
" 700.0 | \n",
" 69.30 | \n",
"
\n",
" \n",
" 8 | \n",
" Fe | \n",
" 7.874 | \n",
" 1538.00 | \n",
" 80.4 | \n",
" 11.8 | \n",
" 211 | \n",
" 130.00 | \n",
" 260.0 | \n",
" 45 | \n",
" 490.0 | \n",
" 96.10 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Nom Densitat Punt de fusió Conductivitat tèrmica Dilatació tèrmica \\\n",
"0 Cu 8.960 1084.62 401.0 16.5 \n",
"1 Al 2.700 660.32 237.0 23.1 \n",
"2 Mg 1.738 650.00 156.0 24.8 \n",
"3 Ti 4.506 1670.00 21.9 8.6 \n",
"4 Pb 11.340 327.46 35.3 28.9 \n",
"5 Sn 7.365 231.93 66.8 22.0 \n",
"6 Zn 7.140 419.53 116.0 30.2 \n",
"7 Ni 8.908 1455.00 90.9 13.4 \n",
"8 Fe 7.874 1538.00 80.4 11.8 \n",
"\n",
" Mòdul elàstic Límit elàstic Resistència al trencament Allargament \\\n",
"0 110 69.00 220.0 45 \n",
"1 70 17.00 55.0 25 \n",
"2 45 41.00 165.0 6 \n",
"3 116 240.00 330.0 30 \n",
"4 16 3.50 19.6 50 \n",
"5 50 2.55 34.3 40 \n",
"6 108 7.00 117.0 32 \n",
"7 200 138.00 483.0 40 \n",
"8 211 130.00 260.0 45 \n",
"\n",
" Duresa Resistivitat \n",
"0 874.0 16.78 \n",
"1 245.0 28.20 \n",
"2 260.0 43.90 \n",
"3 716.0 420.00 \n",
"4 38.3 208.00 \n",
"5 350.0 115.00 \n",
"6 412.0 59.00 \n",
"7 700.0 69.30 \n",
"8 490.0 96.10 "
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Dades de la Wikipèdia, excepte Límit elàstic, Resistència al trencament i Allargament.\n",
"# Buscant una font més fiable que el llibre de McGraw-Hill, està ple d'errades\n",
"\n",
"df = pd.DataFrame({\n",
" 'Nom':['Cu','Al','Mg','Ti','Pb','Sn','Zn','Ni','Fe'],\n",
"# densitat ρ [10³·kg/m³] \n",
" 'Densitat':[8.96,2.70,1.738,4.506,11.34,7.365,7.14,8.908,7.874],\n",
"# punt de fusió [⁰C] \n",
" 'Punt de fusió':[1084.62,660.32,650,1670,327.46,231.93,419.53,1455,1538],\n",
"# conductivitat tèrmica ϰ [W/m·⁰C] \n",
" 'Conductivitat tèrmica':[401,237,156,21.9,35.3,66.8,116,90.9,80.4],\n",
"# Dilatació tèrmica λ [10⁻⁶·K⁻¹]\n",
" 'Dilatació tèrmica':[16.5,23.1,24.8,8.6,28.9,22,30.2,13.4,11.8],\n",
"# mòdul elàstic E [GPa] \n",
" 'Mòdul elàstic':[110,70,45,116,16,50,108,200,211],\n",
"# límit elàstic σe [MPa] \n",
" 'Límit elàstic':[69,17,41,240,3.5,2.55,7,138,130],\n",
"# Resistència al trencament R [MPa] \n",
" 'Resistència al trencament':[220,55,165,330,19.6,34.3,117,483,260],\n",
"# Allargament ε [%] \n",
" 'Allargament':[45,25,6,30,50,40,32,40,45],\n",
"# Duresa HB [MPa] \n",
" 'Duresa':[874,245,260,716,38.3,350,412,700,490],\n",
"# Resistivitat elèctrica [10⁻⁹·Ω·m] \n",
" 'Resistivitat':[16.78,28.2,43.9,420,208,115,59,69.3,96.1]\n",
"})\n",
"df"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Densitat"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, 'ρ [10³·kg/m³]')"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"df.plot(kind='bar',x='Nom',y='Densitat')\n",
"plt.ylabel('ρ [10³·kg/m³]')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Fixeu-vos en la baixa densitat de l'alumni i el magnesi. Els aliatges de l'alumini reben el nom d'*aliatges lleugers*, i els de magnesi d'*aliatges ultralleugers*. \n",
"Per altra banda fixeu-vos l'alta densitat del plom. D'aquí el seu ús a projectils, llastres per bussos o plomades."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Temperatura de fusió"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, 'Tf [⁰C]')"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"df.plot(kind='bar',x='Nom',y='Punt de fusió')\n",
"plt.ylabel('Tf [⁰C]')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"La baixa temperatura de fusió de l'estany i el plom justifiquen el seu ús a soldadures i fusibles. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Conductivitat tèrmica"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, 'ϰ [W/m·⁰C]')"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"df.plot(kind='bar',x='Nom',y='Conductivitat tèrmica')\n",
"plt.ylabel('ϰ [W/m·⁰C]')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"L'alta conductivitat tèrmica del coure justifica el seu ús a recipients per a cuinar aliments."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Dilatació tèrmica"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, 'λ [K⁻¹]')"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"df.plot(kind='bar',x='Nom',y='Dilatació tèrmica')\n",
"plt.ylabel('λ [K⁻¹]')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Mòdul elàstic"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, 'σ [MPa]')"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"df.plot(kind='bar',x='Nom',y='Mòdul elàstic')\n",
"plt.ylabel('σ [MPa]')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Límit elàstic"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, 'σe [MPa]')"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"df.plot(kind='bar',x='Nom',y='Límit elàstic')\n",
"plt.ylabel('σe [MPa]')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"El límit elàstic del titani, juntament amb la seva baixa densitat, justifiquen el seu ús a estructures aeroespacials, ulleres ..."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Resistència al trencament"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, 'R [MPa]')"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"df.plot(kind='bar',x='Nom',y='Resistència al trencament')\n",
"plt.ylabel('R [MPa]')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Allargament"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, 'ε [%]')"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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EPFX93rau5UuS+qfONYIbgRPWGXcJcG9m7gHcWw1LkhpUWxFk5gPAinVGnwJMqx5PA06ta/mSpP5p9z6CHTPz+erxb4Ede5oxIqZExJyImPPCCy+0J50kFaixncWZmUD2Mn1qZk7IzAmjRo1qYzJJKku7i2BpROwMUP1e1ublS5LW0e4iuAuYXD2eDNzZ5uVLktZR5+Gj04FHgL0iYklEnAVcCRwXEU8Bf1YNS5IatGldL5yZH+lh0rF1LVOStP48s1iSCmcRSFLhLAJJKpxFIEmFswgkqXAWgSQVziKQpMJZBJJUOItAkgpnEUhS4SwCSSpcbdca0uDVcckPB+R1Fl154oC8jqRmuUYgSYWzCCSpcBaBJBXOIpCkwlkEklQ4i0CSCmcRSFLhLAJJKpxFIEmFswgkqXAWgSQVziKQpMJZBJJUOItAkgpnEUhS4SwCSSqcRSBJhbMIJKlwFoEkFc4ikKTCNVIEEXFCRPwqIp6OiEuayCBJaml7EUTEMOAa4C+AccBHImJcu3NIklqaWCOYCDydmc9k5uvAzcApDeSQJNFMEewCLO4yvKQaJ0lqQGRmexcY8SHghMz862r4TODgzDx/nfmmAFOqwb2AXw3A4rcHfjcArzPQBmMuM/WPmfpvMOYa6pl2zcxRfc206QAtbH08B7y7y/DoatxbZOZUYOpALjgi5mTmhIF8zYEwGHOZqX/M1H+DMZeZWprYNDQb2CMixkbEZsAZwF0N5JAk0cAaQWaujojzgZ8Aw4AbMvPJdueQJLU0sWmIzPwR8KMGFj2gm5oG0GDMZab+MVP/DcZcZqKBncWSpMHFS0xIUuEsAkkqnEUgSYVrZGdxO0XEx7obn5nfaneWwS4itutm9CuZ+Uabc8zKzCMi4hWg606sADIz/20786wrIkYA5wJH0Mo3C/hGZq5qMtdgFBGHAR10+azx/173ImJXYI/M/D8RsQWwaWa+0o5lD/kiAA7q8ngEcCzwGND2P8aImM9bP9jWTgLWZOYBbY60rsdonez3Iq1M2wDPR8Qy4OzMnNumHFsCZObWbVre+voW8Arwj9XwfwS+DZzeVKCI2BO4CNiVt37oHtNgpm8DuwPzgDc7I9HA/70qz19l5nci4pPdTc/Mq9udqVNEnE3rSgrb0XrPRgP/ROvzqnZDvggy8xNdhyNiG2BaQ3EmdTMuaH34/k2bs3Tnx8DtmfkTgIg4HjgBuBX438DBbcox2A9l22ud0r4vIp5oLE3L92h9cFzLnz50mzYBGJeD59DELavfg/ELxnm0Lsj5c4DMfCoidmjXwod8EXTjVWDPJhacmc92Po6IA2l9kzwd+A1wWxOZ1jEhM8/pHMjMn0bE/8zMT0bE5m3MsUNP39qqXI19c6s8HhGHZOY/A0TEwcBDDWdanZnfaDjDuhYAOwHPNx0EIDO/Wf2+vOks3fhjZr4eEQBExKa08QvRkC+CiPgBf3pDN6F1D4RbG8qyJ/CR6ud3wC20zuU4uok83VgRERfTujQ4wF8CL1b3kFjTxhzDgK1orS0NGl027Q0HPhYR/1IN7wosbDIb8IOIOBe4Hfhj58jMXNFcJLYHfhkRj/LWTCc3ESYi/raXyZmZf9+2MG/3s4i4FNgiIo6jtQ/qB+1a+JA9oSwi3gPsyFvLbjWtD5nnMvPXDWRaAzwInJWZT1fjnsnM3dqdpTsRsT3wd7R2gkLrW+7lwMvAmM7MbcjxWGa+tx3LWh/VzrwedV3ja7eI+E1njK7jm/jbiog/z8yfRMR/6GbyDpn5vXZnAoiIT3UzekvgLGBkZm7V5khrRcQmVY7jaX0B+glwXbs2qw3lIrgbuDQzf7HO+AnA32XmSQ1kOpXWRfYOp7U9/mZa/9hj251lMIuIxzPzwKZzrKs6Wugc4D3AfOD6zFzdcKaDgMWZ+dtqeDJwGrAI+FwTawQR8SbwAPBXmfncOtMGRclHxNbABbQ+fG8FvpyZyxrIMSYz/6Xdy31bjiFcBAsyc78eps3PzP3bnanL8rekdVe2jwDH0DqK4vbM/GlDeXq9+mu7V+UjYruGN2l0KyJuAd6gtVb3F8CzmXlBw5keA/4sM1dExJG0vlx8AhgP7JOZH2og0+O0Di64DPhkZs7oOq3Jkq8Okf4k8FFaB418LTNfbDDP2mKMiNsy87QmcgzlfQQjepm2RdtSdCMzXwW+C3w3IraltcP4YqCRIgAOpXXXuOm0jlpodNv8YCyByrjOLxARcT3waMN5AIZ1eb/+EpiambcBt0XEvIYyZWZeGxE/A26KiBOB8zLzDzR4RFhEXAV8kNZF3fbPzJVNZemi6/+1xjYRD+Uzi2dXx+a+RUT8NdCu4+H7lJkvZubUzGzL8cI92Am4FNgP+BpwHPC7zPxZZv6swVyDzdoT65reJNTFsOoIE2gdcz6zy7RGv+hl5v+j9SVjKa0jrdp1+HFPPgX8O+CzwL9GxO+rn1ci4vcNZcoeHrfVUN40tCOtIyhe508f/BOAzYAPdG5T1VtVh4l+BLgKuDwz/1fDkQaNatv3q52DtNYs/0CDZzxHxGeA99M6Cm0M8N7MzOpgiWmZeXgDmd62+ScijgJuAEYN4hMF267L31TXvydo89/UkC2CThFxNK1vugBPZubM3uYvVVUAJ9IqgQ5ad427Yd2dfRp8IuIQYGfgp9Vmx85DlbfKzMcayHNqZt7RzfhtgY9n5pXtzqTeDfkiUN8i4lu0yvJHwM2ZuaDhSJLayCJQ5/kNnZs8Bt1F3iTVyyKQpMIN5aOGJEn9YBFIUuEsAqkbEZER8eUuw/89Ij7XYCSpNhaB1L0/Ah+sLsQnDWkWgdS91bQuRXDhuhMioiMiZkbELyLi3ogYU42/MSK+ERH3RcQzEXFURNwQEQsj4sY255f6zSKQenYN8NGIeNc64/+R1lm7/x64Cfh6l2nb0rqQ4IW0Tsr7CrAvsH9EjK8/srT+LAKpB5n5e1pXhv2v60w6lNZFA6F1r+Ijukz7QXUN+fnA0sycn5lrgCdpnbEtDToWgdS7r9K6Zv2Wfc1Y6bwT15oujzuHh/LVfrURswikXlSXeL6VVhl0epjWDYagdV37B9udSxpIFoHUty/Tuv9up08A/zkifgGcSetOV9JGy0tMSFLhXCOQpMJZBJJUOItAkgpnEUhS4SwCSSqcRSBJhbMIJKlwFoEkFe7/A/Hsuf+CHxaCAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"df.plot(kind='bar',x='Nom',y='Allargament')\n",
"plt.ylabel('ε [%]')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Molts d'aquest metalls són molt dúctils, degut a la possibilitat d'una alta deformàció plàstica"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Duresa"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, 'HB [MPa]')"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"df.plot(kind='bar',x='Nom',y='Duresa')\n",
"plt.ylabel('HB [MPa]')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Resistivitat elèctrica"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, 'ρ [10⁻⁹·Ω·m]')"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"df.plot(kind='bar',x='Nom',y='Resistivitat')\n",
"plt.ylabel('ρ [10⁻⁹·Ω·m]')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"La baixa resistivitat del coure i l'alumini, juntament amb la seva ductibilitat, justifiquen el seu ús a cables elèctrics. L'alumini és molt més lleuger, per això s'utilitza a xarxes d'alta tensió, alleugerant la càrrega de l'estructura de la torre."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Efecte de la densitat en la propietat"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Relació resistència mecànica / pes"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Nom | \n",
" Densitat | \n",
" Punt de fusió | \n",
" Conductivitat tèrmica | \n",
" Dilatació tèrmica | \n",
" Mòdul elàstic | \n",
" Límit elàstic | \n",
" Resistència al trencament | \n",
" Allargament | \n",
" Duresa | \n",
" Resistivitat | \n",
" Relació Resistència/pes | \n",
"
\n",
" \n",
" \n",
" \n",
" 0 | \n",
" Cu | \n",
" 8.960 | \n",
" 1084.62 | \n",
" 401.0 | \n",
" 16.5 | \n",
" 110 | \n",
" 69.00 | \n",
" 220.0 | \n",
" 45 | \n",
" 874.0 | \n",
" 16.78 | \n",
" 7.700893 | \n",
"
\n",
" \n",
" 1 | \n",
" Al | \n",
" 2.700 | \n",
" 660.32 | \n",
" 237.0 | \n",
" 23.1 | \n",
" 70 | \n",
" 17.00 | \n",
" 55.0 | \n",
" 25 | \n",
" 245.0 | \n",
" 28.20 | \n",
" 6.296296 | \n",
"
\n",
" \n",
" 2 | \n",
" Mg | \n",
" 1.738 | \n",
" 650.00 | \n",
" 156.0 | \n",
" 24.8 | \n",
" 45 | \n",
" 41.00 | \n",
" 165.0 | \n",
" 6 | \n",
" 260.0 | \n",
" 43.90 | \n",
" 23.590334 | \n",
"
\n",
" \n",
" 3 | \n",
" Ti | \n",
" 4.506 | \n",
" 1670.00 | \n",
" 21.9 | \n",
" 8.6 | \n",
" 116 | \n",
" 240.00 | \n",
" 330.0 | \n",
" 30 | \n",
" 716.0 | \n",
" 420.00 | \n",
" 53.262317 | \n",
"
\n",
" \n",
" 4 | \n",
" Pb | \n",
" 11.340 | \n",
" 327.46 | \n",
" 35.3 | \n",
" 28.9 | \n",
" 16 | \n",
" 3.50 | \n",
" 19.6 | \n",
" 50 | \n",
" 38.3 | \n",
" 208.00 | \n",
" 0.308642 | \n",
"
\n",
" \n",
" 5 | \n",
" Sn | \n",
" 7.365 | \n",
" 231.93 | \n",
" 66.8 | \n",
" 22.0 | \n",
" 50 | \n",
" 2.55 | \n",
" 34.3 | \n",
" 40 | \n",
" 350.0 | \n",
" 115.00 | \n",
" 0.346232 | \n",
"
\n",
" \n",
" 6 | \n",
" Zn | \n",
" 7.140 | \n",
" 419.53 | \n",
" 116.0 | \n",
" 30.2 | \n",
" 108 | \n",
" 7.00 | \n",
" 117.0 | \n",
" 32 | \n",
" 412.0 | \n",
" 59.00 | \n",
" 0.980392 | \n",
"
\n",
" \n",
" 7 | \n",
" Ni | \n",
" 8.908 | \n",
" 1455.00 | \n",
" 90.9 | \n",
" 13.4 | \n",
" 200 | \n",
" 138.00 | \n",
" 483.0 | \n",
" 40 | \n",
" 700.0 | \n",
" 69.30 | \n",
" 15.491693 | \n",
"
\n",
" \n",
" 8 | \n",
" Fe | \n",
" 7.874 | \n",
" 1538.00 | \n",
" 80.4 | \n",
" 11.8 | \n",
" 211 | \n",
" 130.00 | \n",
" 260.0 | \n",
" 45 | \n",
" 490.0 | \n",
" 96.10 | \n",
" 16.510033 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Nom Densitat Punt de fusió Conductivitat tèrmica Dilatació tèrmica \\\n",
"0 Cu 8.960 1084.62 401.0 16.5 \n",
"1 Al 2.700 660.32 237.0 23.1 \n",
"2 Mg 1.738 650.00 156.0 24.8 \n",
"3 Ti 4.506 1670.00 21.9 8.6 \n",
"4 Pb 11.340 327.46 35.3 28.9 \n",
"5 Sn 7.365 231.93 66.8 22.0 \n",
"6 Zn 7.140 419.53 116.0 30.2 \n",
"7 Ni 8.908 1455.00 90.9 13.4 \n",
"8 Fe 7.874 1538.00 80.4 11.8 \n",
"\n",
" Mòdul elàstic Límit elàstic Resistència al trencament Allargament \\\n",
"0 110 69.00 220.0 45 \n",
"1 70 17.00 55.0 25 \n",
"2 45 41.00 165.0 6 \n",
"3 116 240.00 330.0 30 \n",
"4 16 3.50 19.6 50 \n",
"5 50 2.55 34.3 40 \n",
"6 108 7.00 117.0 32 \n",
"7 200 138.00 483.0 40 \n",
"8 211 130.00 260.0 45 \n",
"\n",
" Duresa Resistivitat Relació Resistència/pes \n",
"0 874.0 16.78 7.700893 \n",
"1 245.0 28.20 6.296296 \n",
"2 260.0 43.90 23.590334 \n",
"3 716.0 420.00 53.262317 \n",
"4 38.3 208.00 0.308642 \n",
"5 350.0 115.00 0.346232 \n",
"6 412.0 59.00 0.980392 \n",
"7 700.0 69.30 15.491693 \n",
"8 490.0 96.10 16.510033 "
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"rho=df['Densitat']\n",
"df[\"Relació Resistència/pes\"]= df[\"Límit elàstic\"].div(other = rho) \n",
"df"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"El titani és el que presenta de llarg la millor característica, com ja comentaven abans."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Producte resistivitat·densitat"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Nom | \n",
" Densitat | \n",
" Punt de fusió | \n",
" Conductivitat tèrmica | \n",
" Dilatació tèrmica | \n",
" Mòdul elàstic | \n",
" Límit elàstic | \n",
" Resistència al trencament | \n",
" Allargament | \n",
" Duresa | \n",
" Resistivitat | \n",
" Relació Resistència/pes | \n",
" Producte Resistivitat·densitat | \n",
"
\n",
" \n",
" \n",
" \n",
" 0 | \n",
" Cu | \n",
" 8.960 | \n",
" 1084.62 | \n",
" 401.0 | \n",
" 16.5 | \n",
" 110 | \n",
" 69.00 | \n",
" 220.0 | \n",
" 45 | \n",
" 874.0 | \n",
" 16.78 | \n",
" 7.700893 | \n",
" 150.3488 | \n",
"
\n",
" \n",
" 1 | \n",
" Al | \n",
" 2.700 | \n",
" 660.32 | \n",
" 237.0 | \n",
" 23.1 | \n",
" 70 | \n",
" 17.00 | \n",
" 55.0 | \n",
" 25 | \n",
" 245.0 | \n",
" 28.20 | \n",
" 6.296296 | \n",
" 76.1400 | \n",
"
\n",
" \n",
" 2 | \n",
" Mg | \n",
" 1.738 | \n",
" 650.00 | \n",
" 156.0 | \n",
" 24.8 | \n",
" 45 | \n",
" 41.00 | \n",
" 165.0 | \n",
" 6 | \n",
" 260.0 | \n",
" 43.90 | \n",
" 23.590334 | \n",
" 76.2982 | \n",
"
\n",
" \n",
" 3 | \n",
" Ti | \n",
" 4.506 | \n",
" 1670.00 | \n",
" 21.9 | \n",
" 8.6 | \n",
" 116 | \n",
" 240.00 | \n",
" 330.0 | \n",
" 30 | \n",
" 716.0 | \n",
" 420.00 | \n",
" 53.262317 | \n",
" 1892.5200 | \n",
"
\n",
" \n",
" 4 | \n",
" Pb | \n",
" 11.340 | \n",
" 327.46 | \n",
" 35.3 | \n",
" 28.9 | \n",
" 16 | \n",
" 3.50 | \n",
" 19.6 | \n",
" 50 | \n",
" 38.3 | \n",
" 208.00 | \n",
" 0.308642 | \n",
" 2358.7200 | \n",
"
\n",
" \n",
" 5 | \n",
" Sn | \n",
" 7.365 | \n",
" 231.93 | \n",
" 66.8 | \n",
" 22.0 | \n",
" 50 | \n",
" 2.55 | \n",
" 34.3 | \n",
" 40 | \n",
" 350.0 | \n",
" 115.00 | \n",
" 0.346232 | \n",
" 846.9750 | \n",
"
\n",
" \n",
" 6 | \n",
" Zn | \n",
" 7.140 | \n",
" 419.53 | \n",
" 116.0 | \n",
" 30.2 | \n",
" 108 | \n",
" 7.00 | \n",
" 117.0 | \n",
" 32 | \n",
" 412.0 | \n",
" 59.00 | \n",
" 0.980392 | \n",
" 421.2600 | \n",
"
\n",
" \n",
" 7 | \n",
" Ni | \n",
" 8.908 | \n",
" 1455.00 | \n",
" 90.9 | \n",
" 13.4 | \n",
" 200 | \n",
" 138.00 | \n",
" 483.0 | \n",
" 40 | \n",
" 700.0 | \n",
" 69.30 | \n",
" 15.491693 | \n",
" 617.3244 | \n",
"
\n",
" \n",
" 8 | \n",
" Fe | \n",
" 7.874 | \n",
" 1538.00 | \n",
" 80.4 | \n",
" 11.8 | \n",
" 211 | \n",
" 130.00 | \n",
" 260.0 | \n",
" 45 | \n",
" 490.0 | \n",
" 96.10 | \n",
" 16.510033 | \n",
" 756.6914 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Nom Densitat Punt de fusió Conductivitat tèrmica Dilatació tèrmica \\\n",
"0 Cu 8.960 1084.62 401.0 16.5 \n",
"1 Al 2.700 660.32 237.0 23.1 \n",
"2 Mg 1.738 650.00 156.0 24.8 \n",
"3 Ti 4.506 1670.00 21.9 8.6 \n",
"4 Pb 11.340 327.46 35.3 28.9 \n",
"5 Sn 7.365 231.93 66.8 22.0 \n",
"6 Zn 7.140 419.53 116.0 30.2 \n",
"7 Ni 8.908 1455.00 90.9 13.4 \n",
"8 Fe 7.874 1538.00 80.4 11.8 \n",
"\n",
" Mòdul elàstic Límit elàstic Resistència al trencament Allargament \\\n",
"0 110 69.00 220.0 45 \n",
"1 70 17.00 55.0 25 \n",
"2 45 41.00 165.0 6 \n",
"3 116 240.00 330.0 30 \n",
"4 16 3.50 19.6 50 \n",
"5 50 2.55 34.3 40 \n",
"6 108 7.00 117.0 32 \n",
"7 200 138.00 483.0 40 \n",
"8 211 130.00 260.0 45 \n",
"\n",
" Duresa Resistivitat Relació Resistència/pes \\\n",
"0 874.0 16.78 7.700893 \n",
"1 245.0 28.20 6.296296 \n",
"2 260.0 43.90 23.590334 \n",
"3 716.0 420.00 53.262317 \n",
"4 38.3 208.00 0.308642 \n",
"5 350.0 115.00 0.346232 \n",
"6 412.0 59.00 0.980392 \n",
"7 700.0 69.30 15.491693 \n",
"8 490.0 96.10 16.510033 \n",
"\n",
" Producte Resistivitat·densitat \n",
"0 150.3488 \n",
"1 76.1400 \n",
"2 76.2982 \n",
"3 1892.5200 \n",
"4 2358.7200 \n",
"5 846.9750 \n",
"6 421.2600 \n",
"7 617.3244 \n",
"8 756.6914 "
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df[\"Producte Resistivitat·densitat\"]= df[\"Resistivitat\"].mul(other = rho) \n",
"df"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Per a un cable de resistència $R$, llargada $L$ i secció fixades, la massa del cable té l'expressió, en funció de la resistivitat $\\rho$ i densitat $d$ del material amb que està fet: \n",
"$M = \\frac{\\rho}{R} · L^2·d$ \n",
"Per tant, quan més baix el producte $\\rho · d$ més lleuger el cable i menys esforç ha de suportar l'estructura que manté elevat el cable. Com veieu, l'alumni és millor candidat que el coure en aquest cas."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
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"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
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"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
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