From ee0199fc03b947e94f89a0467af675eb8adccb27 Mon Sep 17 00:00:00 2001 From: Leandro Lucarella Date: Fri, 27 Apr 2007 23:47:04 +0000 Subject: [PATCH 1/1] Mover Materiales Industriales I para que tenga la misma nomenclatura que las otras carpetas. --- Makefile | 25 + guia_problemas1.rtf | 212 +++++++ guia_problemas2.rtf | 132 +++++ resolucion_guia1-21.png | Bin 0 -> 45292 bytes resolucion_guia1-24-brinell.jpg | Bin 0 -> 8016 bytes resolucion_guia1-24-knoop.jpg | Bin 0 -> 16951 bytes resolucion_guia1-24-rockwell.jpg | Bin 0 -> 23993 bytes resolucion_guia1-24-vickers.png | Bin 0 -> 11822 bytes resolucion_guia1-25.png | Bin 0 -> 90541 bytes resolucion_guia1-33.png | Bin 0 -> 81718 bytes resolucion_guia1-36.ods | Bin 0 -> 17641 bytes resolucion_guia1-36.png | Bin 0 -> 17139 bytes resolucion_guia1.rst | 948 +++++++++++++++++++++++++++++++ 13 files changed, 1317 insertions(+) create mode 100644 Makefile create mode 100644 guia_problemas1.rtf create mode 100644 guia_problemas2.rtf create mode 100644 resolucion_guia1-21.png create mode 100644 resolucion_guia1-24-brinell.jpg create mode 100644 resolucion_guia1-24-knoop.jpg create mode 100644 resolucion_guia1-24-rockwell.jpg create mode 100644 resolucion_guia1-24-vickers.png create mode 100644 resolucion_guia1-25.png create mode 100644 resolucion_guia1-33.png create mode 100644 resolucion_guia1-36.ods create mode 100644 resolucion_guia1-36.png create mode 100644 resolucion_guia1.rst diff --git a/Makefile b/Makefile new file mode 100644 index 0000000..d1a2b81 --- /dev/null +++ b/Makefile @@ -0,0 +1,25 @@ + +opts=--section-subtitles --language=es --use-latex-footnotes --use-latex-citations --use-latex-docinfo --use-latex-toc --use-verbatim-when-possible --hyperlink-color=0 + +all: resolucion_guia1.pdf + +resolucion_guia1.latex: resolucion_guia1.rst + @echo 'Creando $@...' + @rst2latex ${opts} $< > $@ + +resolucion_guia1.pdf: resolucion_guia1.latex + @echo 'Creando $@...' + @pdflatex $< > /dev/null + @pdflatex $< > /dev/null + 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ejemplos.}{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch 10.-Estados alotr\'f3picos del Fe.}{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch 11.-Como define substancias isotr\'f3picas.}{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch 12.-Como define a un s\'f3lido cristalino.}{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch 13.-Representaci\'f3n esquem\'e1tica de un cristal a:FCC; b:BCC;c;HC.}{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch 14.-Calcular el radio de un \'e1tomo de paladio,estructura FCC y densidad}{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch 12.0gr/cm3.}{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch 15.-Para un aleaci\'f3n de Pa= 43g/mol densidad=6.4gr/cm3}{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch Y radio at. 0,122nm determinar estructura cristalina Justificar.}{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch 16.-Clasificar en los metales s\'f3lidos los distintos tipos de imperfecciones. Dibujo esquem\'e1tico.}{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch 17.-\'bfCuando se forma una soluci\'f3n s\'f3lida?.}{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch 18.-\'bfPorque las gotas de los metales en estado l\'edquido adoptan la forma esf\'e9rica?.}{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch 19.-Investigue y realice una tabla con el modulo de elasticidad y resistencia a la tracci\'f3n en MPa para los siguientes materiales:}{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch Acero, Al, Cu, Lat\'f3n, Bronce, Titanio.}{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\fi360\li-360\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch 20.-Una barra de aluminio de 127mm de longitud con una secci\'f3n cuadrada de 16,5mm de lado es traccionado con una carga de 6.67x10)4 N;su alargamiento es de 0,43mm.Si suponemos que la deformaci\'f3n es el\'e1stica, determinar el m\'f3dulo de elasticidad del AL.}{\s30\f0\fs24\lang1034{\*\listtag0}\page }{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f2\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch 21.-Dibuje el diagrama de tensi\'f3n-deformaci\'f3n para el acero y defina a:E,b: ;c: d:}{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch 22.-Consideremos una probeta de una aleaci\'f3n \uc1\u8220\'93X\uc1\u8221\'94 con un \'d8=10mm. Fuerza de tracci\'f3n 1500N produce una reducci\'f3n el\'e1stica del di\'e1metro de 6,7 X 10)-4 mm. Calcular E para este material siendo el m\'f3dulo de Poisson= 0,35.}{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch 22.-Un penetrador Brinell de \'d8= 10mm produjo una impronta de 2,5mm de \'d8 en una pieza de acero. Carga aplicada 1000Kg. Calcular HB.}{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch 23.-Para el problema anterior;si la dureza fuera de HB=300 y la carga de 500kg. Calcular \'d8 de la impronta.}{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch 24.-Dibuje esquem\'e1ticamente los pentradores para realizar ensayos de dureza Brinell, Vickers, Knoop y Rockwell com\'fan y superficial.}{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch 25.-Busque las tablas que relacionan dureza y resistencia a la tracci\'f3n para aceros.}{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch 26.-Dibuje en un diagrama tensi\'f3n deformaci\'f3n las curvas de tracci\'f3n para un material d\'factil y para otro fr\'e1gil. Defina ductilidad.}{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch 27.-Condiciones a cumplir para realizar un ensayo de dureza.}{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch 28.-Podemos usar un durometro Rockwell en la escala C para ensayar una pieza de 0,3mm de espesor. Justifique la respuesta.}{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch 29.-Ensayando una pieza de acero con el m\'e9todo Vickers usamos una carga de 50Kg. Si la diagonal media de la impronta es de 0,01mm que dureza tenemos.}{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch 30.-Tablas de comparaci\'f3n de dureza con los diferentes m\'e9todos.}{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch 31.-Para un material met\'e1lico muy poroso que m\'e9todo de ensayo de dureza usar\'eda.}{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch 32.-Que se mide en los ensayos por impacto.}{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch 33.-Diferencia entre Charpy e Izod.Dibuje curvas para aceros con diferentes % de carbono.}{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch 34.-Es necesario seleccionar una aleaci\'f3n met\'e1lica. Se requiere para dicho material = 310 Mpa = 27% m\'ednimo. Si el metal puede ser trabajado en fri\'f3 decidir entre cobre, lat\'f3n, aceros SAE 1040.\'bfPor qu\'e9?.}{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch 35.-Explicar las diferencias en la estructura de grano para un metal que ha sido trabajado en fri\'f3 y el mismo despu\'e9s de recristalizado.}{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch 36.-Los resultados de un Ensayo de impacto fueron:}{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch Temperatura \'b0C Energ\'eda de impacto (J) }{\s30\f1\fs24\lang1034{\*\listtag0}\par} +{\listtext\pard\fi-3735\li4470\ri-260 50 }\pard\plain{\ltrpar\ql\fi-3735\li4470\ri-260\s30{\*\abilist\abilistid1001\abilistparentid0\abilistlevel1\abistartat50{\abifieldfont Times New Roman}{\abilistdecimal .}{\abilistdelim %L}{\abiliststyle Numbered List}}{\*\pn\pnql\pnstart50\pnlvlbody\pndec{\pntxtb }{\pntxta }}\fn-3735\li4470\ls2\ilvl0\itap0\tx4470{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch 76}{\s30\f2\fs24\lang1034{\*\listtag0}\par} +}{\listtext\pard\fi-3750\li4485\ri-260 40 }\pard\plain{\ltrpar\ql\fi-3750\li4485\ri-260\s30{\*\abilist\abilistid1002\abilistparentid0\abilistlevel1\abistartat40{\abifieldfont Times New Roman}{\abilistdecimal .}{\abilistdelim %L}{\abiliststyle Numbered List}}{\*\pn\pnql\pnstart40\pnlvlbody\pndec{\pntxtb }{\pntxta }}\fn-3750\li4485\ls3\ilvl0\itap0\tx4485{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch 76}{\s30\f2\fs24\lang1034{\*\listtag0}\par} +}{\listtext\pard\fi-3750\li4485\ri-260 30 }\pard\plain{\ltrpar\ql\fi-3750\li4485\ri-260\s30{\*\abilist\abilistid1003\abilistparentid0\abilistlevel1\abistartat30{\abifieldfont Times New Roman}{\abilistdecimal .}{\abilistdelim %L}{\abiliststyle Numbered List}}{\*\pn\pnql\pnstart30\pnlvlbody\pndec{\pntxtb }{\pntxta }}\fn-3750\li4485\ls4\ilvl0\itap0\tx4485{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch 71}{\s30\f2\fs24\lang1034{\*\listtag0}\par} +}{\listtext\pard\fi-3750\li4485\ri-260 20 }\pard\plain{\ltrpar\ql\fi-3750\li4485\ri-260\s30{\*\abilist\abilistid1004\abilistparentid0\abilistlevel1\abistartat20{\abifieldfont Times New Roman}{\abilistdecimal .}{\abilistdelim %L}{\abiliststyle Numbered List}}{\*\pn\pnql\pnstart20\pnlvlbody\pndec{\pntxtb }{\pntxta }}\fn-3750\li4485\ls5\ilvl0\itap0\tx4485{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch 58}{\s30\f2\fs24\lang1034{\*\listtag0}\par} +}{\listtext\pard\fi-3750\li4485\ri-260 10 }\pard\plain{\ltrpar\ql\fi-3750\li4485\ri-260\s30{\*\abilist\abilistid1005\abilistparentid0\abilistlevel1\abistartat10{\abifieldfont Times New Roman}{\abilistdecimal .}{\abilistdelim %L}{\abiliststyle Numbered List}}{\*\pn\pnql\pnstart10\pnlvlbody\pndec{\pntxtb }{\pntxta }}\fn-3750\li4485\ls6\ilvl0\itap0\tx4485{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch 38}{\s30\f2\fs24\lang1034{\*\listtag0}\par} +}{\listtext\pard\fi-3600\li4485\ri-260 0 }\pard\plain{\ltrpar\ql\fi-3600\li4485\ri-260\s30{\*\abilist\abilistid1006\abilistparentid0\abilistlevel1\abistartat0{\abifieldfont Times New Roman}{\abilistdecimal .}{\abilistdelim %L}{\abiliststyle Numbered List}}{\*\pn\pnql\pnstart0\pnlvlbody\pndec{\pntxtb }{\pntxta }}\fn-3600\li4485\ls7\ilvl0\itap0\tx4485{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch 23}{\s30\f2\fs24\lang1034{\*\listtag0}\par} +}\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch -10 14}{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch -20 9}{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch -30 5}{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch -40 1,5}{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f2\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f2\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f2\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\s30\itap0{\s30\f2\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\s30\itap0{\s30\f2\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\s30\itap0{\s30\f0\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch MATERIALES INDUSTRIALES I Docente:Ing Javier Estevez }{\s30\f0\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\fi360\li-360\s30\itap0{\s30\f0\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch Problemas Curso 2006 }{\s30\f0\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f2\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f2\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch a) Representar los resultados en un diagrama Energia-Temperatura}{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch b) La temperatura de transici\'f3n d\'factil-Fr\'e1gil siendo td_f= t correspondiente E media.}{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch C) Temperatura transici\'f3n d\'factil \uc1\u8211\'96 Fr\'e1gil para E = 20J}{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f2\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch 37.-Dadas las curvas del ensayo de fatiga sgte:}{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f2\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f2\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f2\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f2\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f2\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f2\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f2\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f2\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f2\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f2\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f2\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f2\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f2\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f2\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f2\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f2\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f2\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f2\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f2\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch a) Para una barra de acero 1045 sometida al ensayo de fatiga. Carga }{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch 70.000N.Calcular el valor \'d8 m\'ednimo para que no se rompa por fatiga.}{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch b) Para una barra de Al de \'d8 10mm seg\'fan aleaci\'f3n 2014 T6 sometida a fatiga. M\'e1ximo carga + 5700N y \uc1\u8211\'965700N, determinar la vida a fatiga.}{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\abinodiroverride\ltrch c) Para otra barra de Al 2014-T6 de 20mm de \'d8 se la somete a fatiga. Calcular carga m\'e1xima y m\'ednima a aplicar para que rompa a 1x10)8ciclos.}{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f2\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f2\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f2\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\ri-260\s30\itap0{\s30\f2\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\s30\itap0{\s30\f2\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\s30\itap0{\s30\f2\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\s30\itap0{\s30\f2\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\s30\itap0{\s30\f2\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\s30\itap0{\s30\f2\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\s30\itap0{\s30\f2\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\s30\itap0{\s30\f2\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\s30\itap0{\s30\f2\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\s30\itap0{\s30\f2\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\s30\itap0{\s30\f2\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\s30\itap0{\s30\f2\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\ql\itap0{\f2\fs24\lang11274{\*\listtag0}\par} +\pard\plain\ltrpar\ql\itap0\par} \ No newline at end of file diff --git a/guia_problemas2.rtf b/guia_problemas2.rtf new file mode 100644 index 0000000..814fa23 --- /dev/null +++ b/guia_problemas2.rtf @@ -0,0 +1,132 @@ +{\rtf1\ansi\ansicpg1252\deff0 +{\fonttbl +{\f0\fnil\fcharset0\fprq0\fttruetype Comic Sans MS;} +{\f1\fnil\fcharset0\fprq0\fttruetype Times New Roman;} +{\f2\fnil\fcharset0\fprq0\fttruetype Arial;} +{\f3\fnil\fcharset0\fprq0\fttruetype Dingbats;} +{\f4\fnil\fcharset0\fprq0\fttruetype Symbol;} +{\f5\fnil\fcharset0\fprq0\fttruetype Courier New;}} +{\colortbl +\red0\green0\blue0; 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Para una probeta, los radios iniciales y deformados son 15mm y 12mm, respectivamente. La segunda probeta, con un radio inicial de 11mm, una vez deformada debe tener la misma dureza que la primera probeta; calcular el radio de la segunda probeta despu\'e9s de la deformaci\'f3n.}{\s30\f1\fs28\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\qj\li-540\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\qj\li-540\s30\itap0{\s30\f1\fs28\lang1034{\*\listtag0}\abinodiroverride\ltrch 5- Una probeta cil\'edndrica de cobre trabajado en fr\'edo tiene una ductilidad (% L) de 15%. Si su radio despu\'e9s del trabajo en fr\'edo es 6,4mm \'bfCu\'e1l era el radio antes de la deformaci\'f3n?}{\s30\f1\fs28\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\qj\li-540\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\qj\li-540\s30\itap0{\s30\f1\fs28\lang1034{\*\listtag0}\abinodiroverride\ltrch 6- Determinar si es posible trabajar en fr\'edo un lat\'f3n para producir una dureza Brinell m\'ednima de 150 y al mismo tiempo producir una ductilidad de por lo menos el 20% L. Justifique su respuesta.}{\s30\f1\fs28\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\qj\li-540\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\qj\li-540\s30\itap0{\s30\f1\fs28\lang1034{\*\listtag0}\abinodiroverride\ltrch 7- Una probeta cil\'edndrica de acero trabajada en fr\'edo tiene una dureza Brinell de 240. }{\s30\f1\fs28\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\qj\li-540\s30\itap0{\s30\f1\fs28\lang1034{\*\listtag0}\abinodiroverride\ltrch a) Estimar su ductilidad en alargamiento porcentual. }{\s30\f1\fs28\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\qj\li-540\s30\itap0{\s30\f1\fs28\lang1034{\*\listtag0}\abinodiroverride\ltrch b) Si la probeta permaneciera cil\'edndrica durante la deformaci\'f3n y su radio inicial era }{\s30\f1\fs28\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\qj\li-540\s30\itap0{\s30\f1\fs28\lang1034{\*\listtag0}\abinodiroverride\ltrch de 10,2mm determinar su radio despu\'e9s de la deformaci\'f3n. }{\s30\f1\fs28\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\qj\li-540\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\qj\li-540\s30\itap0{\s30\f1\fs28\lang1034{\*\listtag0}\abinodiroverride\ltrch 8- Una barra cil\'edndrica de lat\'f3n de di\'e1metro original igual a 10,2mm va a ser deformada en fr\'edo por trefilado; la secci\'f3n circular se mantiene durante la deformaci\'f3n. Se requiere un l\'edmite el\'e1stico en exceso de 380 MP a y una ductilidad de por lo menos 15%. Adem\'e1s, el di\'e1metro final debe ser 7,6mm. Explique c\'f3mo puede conseguirse esto.}{\s30\f1\fs28\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\qj\li-540\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\qj\li-540\s30\itap0{\s30\f1\fs28\lang1034{\*\listtag0}\abinodiroverride\ltrch hoja1/2}{\s30\f1\fs28\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\qj\li-540\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\qj\li-540\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\qj\li-540\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\qj\li-540\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\qj\li-540\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\qj\li-540\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\qj\li-540\s30\itap0{\s30\f1\fs28\lang1034{\*\listtag0}\abinodiroverride\ltrch 9- Una muestra de 7,5Kg de una aleaci\'f3n magnesio-plomo consiste en una fase de disoluci\'f3n s\'f3lida que tiene la composici\'f3n algo inferior al l\'edmite de solubilidad a 300\'b0C.}{\s30\f1\fs28\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\qj\li-540\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\qj\li-540\s30\itap0{\s30\f1\fs28\lang1034{\*\listtag0}\abinodiroverride\ltrch 10- Dada Una aleaci\'f3n esta\'f1o-plomo que contiene 80% Sn y 20% Pb a 180\'b0C, determinar las fracciones de masas de:}{\s30\f1\fs28\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\qj\li-540\s30\itap0{\s30\f1\fs28\lang1034{\*\listtag0}\abinodiroverride\ltrch a) Las fases}{\s30\f1\fs28\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\qj\li-540\s30\itap0{\s30\f1\fs28\lang1034{\*\listtag0}\abinodiroverride\ltrch b) Los micro constituyentes primario y eut\'e9ctico.}{\s30\f1\fs28\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\qj\li-540\s30\itap0{\s30\f1\fs28\lang1034{\*\listtag0}\abinodiroverride\ltrch c) El eut\'e9ctico.}{\s30\f1\fs28\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\qj\li-540\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\qj\li-540\s30\itap0{\s30\f1\fs28\lang1034{\*\listtag0}\abinodiroverride\ltrch 11- Calcular las fracciones de masas de la ferrita y de la cementita en la perlita.}{\s30\f1\fs28\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\qj\li-540\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\qj\li-540\s30\itap0{\s30\f1\fs28\lang1034{\*\listtag0}\abinodiroverride\ltrch 12- \'bfCu\'e1l es la diferencia entre fase y constituyente?}{\s30\f1\fs28\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\qj\li-540\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\qj\li-540\s30\itap0{\s30\f1\fs28\lang1034{\*\listtag0}\abinodiroverride\ltrch 13- \'bfCu\'e1l es la diferencia entre un acero hipoeutectoide y un acero hipereutectoide? }{\s30\f1\fs28\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\qj\li-540\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\qj\li-540\s30\itap0{\s30\f1\fs28\lang1034{\*\listtag0}\abinodiroverride\ltrch 14- \'bfCu\'e1l es el porcentaje de carbono de un acero al carbono si la fracci\'f3n de cementita es de 0,10?}{\s30\f1\fs28\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\qj\li-540\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\qj\li-540\s30\itap0{\s30\f1\fs28\lang1034{\*\listtag0}\abinodiroverride\ltrch 15- Enfriar hasta temperaturas a 727\'b0C 3,5 Kg de austenita con 0,95%C.}{\s30\f1\fs28\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\qj\li-540\s30\itap0{\s30\f1\fs28\lang1034{\*\listtag0}\abinodiroverride\ltrch a) \'bfCu\'e1l es la fase proeutectoide?}{\s30\f1\fs28\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\qj\li-540\s30\itap0{\s30\f1\fs28\lang1034{\*\listtag0}\abinodiroverride\ltrch b) \'bfCu\'e1ntos kilogramos de ferrita y de fase proeutectoide se forman? }{\s30\f1\fs28\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\qj\li-540\s30\itap0{\s30\f1\fs28\lang1034{\*\listtag0}\abinodiroverride\ltrch c) \'bfCu\'e1ntos kilogramos de perlita y de fase proeutectoide se forman? }{\s30\f1\fs28\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\qj\li-540\s30\itap0{\s30\f1\fs28\lang1034{\*\listtag0}\abinodiroverride\ltrch d) Esquematizar y designar la micro estructura resultante.}{\s30\f1\fs28\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\qj\li-540\s30\itap0{\s30\f1\fs24\lang1034{\*\listtag0}\par} +\pard\plain\ltrpar\qj\li-540\s30\itap0{\s30\f1\fs28\lang1034{\*\listtag0}\abinodiroverride\ltrch 16- Enfriar hasta temperaturas inferiores a 727\'b0C, 6 Kg. de austenita con 0,45%C.}{\s30\f1\fs28\lang1034{\*\listtag0}\par} +{\listtext\pard\qj\fi-360\li960 a) }\pard\plain{\ltrpar\qj\fi-360\li960\s30{\*\abilist\abilistid1000\abilistparentid0\abilistlevel1\abistartat1{\abifieldfont Times New Roman}{\abilistdecimal .}{\abilistdelim %L)}{\abiliststyle Lower Case 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z9el~t0wCmHQVqvZ`UU5!ME|jYx1lvJ0QQ5IMO&LgFA{O0E>SKAgau)3{?_?!F)6L4 z)3~JbpA5pKz*(}RAFiz&r=15jRLJ{ToJ-Qz4g9Fu$x2froC5C5UOaBxMFr}Ssbg-? za9SE7%O=ne!O^XGuVPcAq6lE=HlZn_QoMKa!GWtp!h3=F$nyN-UWdv=aGESY^jIe! zkagwF#0kMobzwni_m#6uGJ!EWO>XFwmOkO({>R;~Dy6rz0-0=uUM6!??RVz1IQ=kM z{i-^gqG^57?KoNOb)5O0s@3TSUL9V6Yh89-9%$u&42W;Drk03_Qj=Dmt^rRu^4bOKfM zQLPTIt=V^}#kD?9`q-vdNC;TlG)Erda|2FyVgB=TN7Bh%P+CtWmN7hWUb3MeX 15,27 \] + +Por lo tanto el :m:`$\phi$` mínimo es 15.27 cm. + +Determinar la vida a fatiga. +---------------------------- +Para una barra de Al de :m:`$\phi = 10 mm$` según aleación 2014 T6 sometida +a fatiga. Máximo carga + 5700N y –5700N. + +Si :m:`$\phi = 1 cm$` es el radio de la barra, entonces el área de la misma es: + +.. raw:: latex + + \[ \pi \cdot \phi^2 cm^2 = \pi cm^2 \] + +Por lo tanto, la tensión máxima es: + +.. raw:: latex + + \[ \frac {5700 N} {\pi cm^2} = 1814 MPa \] + +Este valor no está representado en el gráfico, por lo que no podemos determinar +el valor preciso de la cantidad de ciclos, pero podemos estar seguro que será +considerablemente menor a los :m:`$10^4$` (probablemente este cerca de la rotura +por tracción más que por fatiga). + +Calcular carga máxima y mínima para que rompa a :m:`$1 \cdot 10^8$` ciclos. +--------------------------------------------------------------------------- +Para otra barra de Al 2014-T6 de 20mm de :m:`$\phi$` se la somete a fatiga. + +Suponiendo que el valor (obtenido del gráfico) de la rotura por fatiga del Al +2014-T6 es de 150 MPa: + +.. raw:: latex + + \[ \frac {X N} {4 \cdot \pi cm^2} = 150 \frac{N}{cm^2} \] + \[ X = 150 \cdot 4 \cdot \pi = 1884 \] + +Por lo tanto aplicando +1884N y -1884N de carga, la barra se compería a los +:m:`$10^8$` ciclos. + + +Bibliografía +============ + +* Diapositivas provistas por la cátedra. +* Wikipedia, la enciclopedia libre. 2007. http://es.wikipedia.org/ - Página + vigente al 2007-04-24. +* William D. Callister, Jr. 2000. "Introducción a la ciencia e ingeniería de los + materiales". + +.. vim: set sw=4 sts=4 et : -- 2.43.0