{"id":7900,"date":"2022-02-23T17:30:59","date_gmt":"2022-02-23T17:30:59","guid":{"rendered":"https:\/\/blogs.ugto.mx\/rea\/?p=7900"},"modified":"2022-02-24T19:19:53","modified_gmt":"2022-02-24T19:19:53","slug":"clase-digital-9-torsion-en-barras-efectos-internos-en-vigas","status":"publish","type":"post","link":"https:\/\/blogs.ugto.mx\/rea\/clase-digital-9-torsion-en-barras-efectos-internos-en-vigas\/","title":{"rendered":"Clase digital 9. Torsi\u00f3n en barras, efectos internos en vigas"},"content":{"rendered":"\n<div class=\"wp-block-cover\" style=\"min-height:284px;aspect-ratio:unset;\"><span aria-hidden=\"true\" class=\"has-background-dim-40 wp-block-cover__gradient-background has-background-dim\"><\/span><img decoding=\"async\" class=\"wp-block-cover__image-background wp-image-7901\" alt=\"fishing rod lot\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/drandvd5pus.jpg\" style=\"object-position:62% 33%\" data-object-fit=\"cover\" data-object-position=\"62% 33%\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"800\" height=\"1200\" class=\"wp-block-cover__image-background wp-image-7901\" alt=\"fishing rod lot\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/drandvd5pus.jpg\" style=\"object-position:62% 33%\" data-object-fit=\"cover\" data-object-position=\"62% 33%\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/drandvd5pus.jpg 800w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/drandvd5pus-200x300.jpg 200w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/drandvd5pus-683x1024.jpg 683w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/drandvd5pus-768x1152.jpg 768w\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" \/><\/noscript><div class=\"wp-block-cover__inner-container is-layout-flow wp-block-cover-is-layout-flow\">\n<p class=\"has-text-align-center has-base-3-color has-text-color has-large-font-size wp-block-paragraph\">Torsi\u00f3n en barras, efectos internos en vigas<\/p>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"introduccion\">Introducci\u00f3n<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u00a1Hola!&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Es un honor tenerte en esta nueva sesi\u00f3n donde seguramente aprender\u00e1s todo aquello que tu desees. Por lo tanto, te doy la bienvenida a la novena clase donde revisaremos los conceptos relacionados a los efectos que se producen en una barra sometida a torsi\u00f3n como lo son: el esfuerzo y el \u00e1ngulo de torsi\u00f3n. Estos mismos conceptos se aplicar\u00e1n en tubos de pared delgada. Los conceptos vistos en esta sesi\u00f3n son importantes en el dise\u00f1o de un \u00e1rbol que transmite la potencia de un motor a distintos equipos utilizados en la ingenier\u00eda qu\u00edmica como lo son los agitadores.&nbsp;&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Espero que el contenido de esta sesi\u00f3n sea de tu agrado y la disfrutes mucho.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Comencemos.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"desarrollo-del-tema\">Desarrollo del tema<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"torsion-en-barras-circulares-elasticas-e-inelasticas\">Torsi\u00f3n en barras circulares el\u00e1sticas e inel\u00e1sticas<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Al aplicar dos momentos de torsi\u00f3n en un \u00e1rbol circular macizo, una l\u00ednea cualquiera inicialmente recta y paralela al eje se tuerce formando una h\u00e9lice AC y la secci\u00f3n B gira un \u00e1ngulo \u03b8 respecto a la secci\u00f3n A.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/Captura-de-Pantalla-2022-02-23-a-las-11.14.33.png\" alt=\"\" class=\"wp-image-7902\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"376\" height=\"267\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/Captura-de-Pantalla-2022-02-23-a-las-11.14.33.png\" alt=\"\" class=\"wp-image-7902\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/Captura-de-Pantalla-2022-02-23-a-las-11.14.33.png 376w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/Captura-de-Pantalla-2022-02-23-a-las-11.14.33-300x213.png 300w\" sizes=\"auto, (max-width: 376px) 100vw, 376px\" \/><\/noscript><figcaption>Figura 1. <em>Singer, 1990.<\/em><\/figcaption><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">La longitud de deformaci\u00f3n es el arco del c\u00edrculo de radio&nbsp;\u03c1 y \u00e1ngulo \u03b8.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/Captura-de-Pantalla-2022-02-23-a-las-11.15.11.png\" alt=\"\" class=\"wp-image-7903\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"133\" height=\"35\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/Captura-de-Pantalla-2022-02-23-a-las-11.15.11.png\" alt=\"\" class=\"wp-image-7903\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">En estas condiciones la distorsi\u00f3n es<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/Captura-de-Pantalla-2022-02-23-a-las-11.15.40.png\" alt=\"\" class=\"wp-image-7904\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"154\" height=\"62\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/Captura-de-Pantalla-2022-02-23-a-las-11.15.40.png\" alt=\"\" class=\"wp-image-7904\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Y el esfuerzo cortante seg\u00fan la Ley de Hooke<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/Captura-de-Pantalla-2022-02-23-a-las-11.16.11.png\" alt=\"\" class=\"wp-image-7905\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"140\" height=\"56\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/Captura-de-Pantalla-2022-02-23-a-las-11.16.11.png\" alt=\"\" class=\"wp-image-7905\" \/><\/noscript><\/figure><\/div>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"elementos-tubulares-de-pared-delgada\">Elementos tubulares de pared delgada<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">En la figura se observa un tubo de pared delgada donde el torque provocado sobre el elemento tubular provoca dos esfuerzos cortantes longitudinales \ud835\udf0f<sub>1<\/sub>&nbsp;y \ud835\udf0f<sub>2<\/sub>. Los resultantes de estos esfuerzos son \ud835\udc39<sub>1<\/sub>=\ud835\udc5e<sub>1<\/sub> \u2206\ud835\udc3f y \ud835\udc39<sub>2<\/sub>=\ud835\udc5e<sub>2<\/sub> \u2206\ud835\udc3f donde:<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/Captura-de-Pantalla-2022-02-23-a-las-11.17.16.png\" alt=\"\" class=\"wp-image-7906\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"142\" height=\"79\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/Captura-de-Pantalla-2022-02-23-a-las-11.17.16.png\" alt=\"\" class=\"wp-image-7906\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">El t\u00e9rmino <em>q<\/em> suele llamarse flujo cortante.&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Si se considera un equilibrio longitudinal se tiene que \ud835\udc5e<sub>1<\/sub>=\ud835\udc5e<sub>2<\/sub>.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/Captura-de-Pantalla-2022-02-23-a-las-11.17.55.png\" alt=\"\" class=\"wp-image-7907\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"603\" height=\"199\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/Captura-de-Pantalla-2022-02-23-a-las-11.17.55.png\" alt=\"\" class=\"wp-image-7907\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/Captura-de-Pantalla-2022-02-23-a-las-11.17.55.png 603w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/Captura-de-Pantalla-2022-02-23-a-las-11.17.55-300x99.png 300w\" sizes=\"auto, (max-width: 603px) 100vw, 603px\" \/><\/noscript><figcaption>&nbsp;Figura 2. <em>Singer, 1990.<\/em><\/figcaption><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Para que se cumplan las condiciones de equilibrio el\u00e1stico, aplicamos la condici\u00f3n de momentos igual a cero, es decir, el par torsor resistente ha de ser igual al par torsor aplicado:<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/Captura-de-Pantalla-2022-02-23-a-las-11.18.42.png\" alt=\"\" class=\"wp-image-7908\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"339\" height=\"322\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/Captura-de-Pantalla-2022-02-23-a-las-11.18.42.png\" alt=\"\" class=\"wp-image-7908\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/Captura-de-Pantalla-2022-02-23-a-las-11.18.42.png 339w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/Captura-de-Pantalla-2022-02-23-a-las-11.18.42-300x285.png 300w\" sizes=\"auto, (max-width: 339px) 100vw, 339px\" \/><\/noscript><figcaption>Figura 3. <em>Singer, 1990.<\/em><\/figcaption><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">En muchas aplicaciones pr\u00e1cticas, los \u00e1rboles se utilizan para transmitir potencia (<em>\u03a1<\/em>) la cual es transmitida por un par constante <em>T<\/em> que gira a una velocidad angular constante <em>w<\/em> est\u00e1 dada por:<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"><strong><em>P = Tw<\/em><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Si el \u00e1rbol gira a una frecuencia de f revoluciones por unidad de tiempo entonces:<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/Captura-de-Pantalla-2022-02-23-a-las-11.19.36.png\" alt=\"\" class=\"wp-image-7909\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"173\" height=\"55\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/Captura-de-Pantalla-2022-02-23-a-las-11.19.36.png\" alt=\"\" class=\"wp-image-7909\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">por lo tanto&nbsp;&nbsp;<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/Captura-de-Pantalla-2022-02-23-a-las-11.20.01.png\" alt=\"\" class=\"wp-image-7910\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"123\" height=\"75\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/Captura-de-Pantalla-2022-02-23-a-las-11.20.01.png\" alt=\"\" class=\"wp-image-7910\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Para una secci\u00f3n rectangular de lados <em>bc<\/em>; donde b es el lado m\u00e1s largo, la m\u00e1xima tensi\u00f3n tangencial se da en los puntos medios de los lados m\u00e1s largos del rect\u00e1ngulo y vale:<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/Captura-de-Pantalla-2022-02-23-a-las-11.20.40.png\" alt=\"\" class=\"wp-image-7912\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"155\" height=\"66\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/Captura-de-Pantalla-2022-02-23-a-las-11.20.40.png\" alt=\"\" class=\"wp-image-7912\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Mientras que el giro de torsi\u00f3n por unidad de longitud vale:<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/Captura-de-Pantalla-2022-02-23-a-las-11.21.17.png\" alt=\"\" class=\"wp-image-7913\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"173\" height=\"88\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/Captura-de-Pantalla-2022-02-23-a-las-11.21.17.png\" alt=\"\" class=\"wp-image-7913\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Donde \u03b1 y \u03b2 dependen de la relaci\u00f3n b\/c&gt;1.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/Captura-de-Pantalla-2022-02-23-a-las-11.21.47.png\" alt=\"\" class=\"wp-image-7914\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"556\" height=\"103\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/Captura-de-Pantalla-2022-02-23-a-las-11.21.47.png\" alt=\"\" class=\"wp-image-7914\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/Captura-de-Pantalla-2022-02-23-a-las-11.21.47.png 556w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/Captura-de-Pantalla-2022-02-23-a-las-11.21.47-300x56.png 300w\" sizes=\"auto, (max-width: 556px) 100vw, 556px\" \/><\/noscript><\/figure><\/div>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"elementos-tubulares-de-pared-delgada-1\">Elementos tubulares de pared delgada<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">La relaci\u00f3n entre el torsor aplicado (T) y el flujo de cortante (q) es: \ud835\udc47 = 2\ud835\udc34\ud835\udc5e por \u00faltimo el esfuerzo cortante medio de cualquier punto de espesor t viene dado por:<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/Captura-de-Pantalla-2022-02-23-a-las-11.22.25.png\" alt=\"\" class=\"wp-image-7915\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"140\" height=\"57\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/Captura-de-Pantalla-2022-02-23-a-las-11.22.25.png\" alt=\"\" class=\"wp-image-7915\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">donde A es el \u00e1rea transversal de la parte hueca del tubo.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">La constante de torsi\u00f3n (<em>J<\/em>) para un tubo queda establecido como:<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/Captura-de-Pantalla-2022-02-23-a-las-11.23.15.png\" alt=\"\" class=\"wp-image-7916\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"131\" height=\"101\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/Captura-de-Pantalla-2022-02-23-a-las-11.23.15.png\" alt=\"\" class=\"wp-image-7916\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">donde si la secci\u00f3n transversal tiene espesor constante entonces:<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/Captura-de-Pantalla-2022-02-23-a-las-11.23.51.png\" alt=\"\" class=\"wp-image-7917\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"131\" height=\"76\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/Captura-de-Pantalla-2022-02-23-a-las-11.23.51.png\" alt=\"\" class=\"wp-image-7917\" \/><\/noscript><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">donde <em>L<\/em> es la longitud de arco de la l\u00ednea media del espesor del tubo.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">El \u00e1ngulo de giro est\u00e1 dado por:<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/Captura-de-Pantalla-2022-02-23-a-las-11.29.36.png\" alt=\"\" class=\"wp-image-7918\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"111\" height=\"88\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2022\/02\/Captura-de-Pantalla-2022-02-23-a-las-11.29.36.png\" alt=\"\" class=\"wp-image-7918\" \/><\/noscript><\/figure><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"conclusion\">Conclusi\u00f3n <\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Para concluir la clase, recuerda que es muy importante la comprensi\u00f3n de los conocimientos y procedimientos para calcular los esfuerzos y \u00e1ngulos de torsi\u00f3n en una barra ya que esto es de aplicaci\u00f3n muy com\u00fan en varios procesos en la ingenier\u00eda qu\u00edmica principalmente en \u00e1rboles que transmiten momentos a partir de un motor.&nbsp;Recordemos que el c\u00e1lculo del centro de gravedad nos ayudar\u00e1 a poder representar una distribuci\u00f3n de cargas en una sola carga representativa en magnitud y posici\u00f3n.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Te comento que el tema visto en esta clase se seguir\u00e1 utilizando en varios de los temas que se revisar\u00e1n posteriormente en el curso.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Recuerda que puedes apoyarte en cualquier momento del material reportado en las fuentes de informaci\u00f3n.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Has llegado al final de esta clase \u00a1Mis felicitaciones por tu gran logro! Para concluir la sesi\u00f3n te invito a realizar la tarea y mandarla como corresponde. Te encuentro en tu pr\u00f3xima clase, hasta entonces.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"fuentes-de-informacion\">Fuentes de informaci\u00f3n<\/h2>\n\n\n\n<ul class=\"wp-block-list\"><li>Singer, F. L. (1990). Resistencia de Materiales. (6a ed.). Harla.<\/li><li><a href=\"https:\/\/www.youtube.com\/watch?v=O-YqMRnw15A\" target=\"_blank\" rel=\"noreferrer noopener nofollow\">https:\/\/www.youtube.com\/watch?v=O-YqMRnw15A<\/a><\/li><li><a href=\"https:\/\/www.youtube.com\/watch?v=-JlblOFUn-8\" target=\"_blank\" rel=\"noreferrer noopener nofollow\">https:\/\/www.youtube.com\/watch?v=-JlblOFUn-8<\/a><\/li><\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Introducci\u00f3n \u00a1Hola!&nbsp; Es un honor tenerte en esta nueva sesi\u00f3n donde seguramente aprender\u00e1s todo aquello que tu desees. Por lo tanto, te doy la bienvenida a la novena clase donde revisaremos los conceptos relacionados a los efectos que se producen en una barra sometida a torsi\u00f3n como lo son: el esfuerzo y el \u00e1ngulo de &#8230; <a title=\"Clase digital 9. Torsi\u00f3n en barras, efectos internos en vigas\" class=\"read-more\" href=\"https:\/\/blogs.ugto.mx\/rea\/clase-digital-9-torsion-en-barras-efectos-internos-en-vigas\/\" aria-label=\"Leer m\u00e1s sobre Clase digital 9. Torsi\u00f3n en barras, efectos internos en vigas\">Leer m\u00e1s<\/a><\/p>\n","protected":false},"author":142,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_crdt_document":"","episode_type":"","audio_file":"","podmotor_file_id":"","podmotor_episode_id":"","cover_image":"","cover_image_id":"","duration":"","filesize":"","filesize_raw":"","date_recorded":"","explicit":"","block":"","itunes_episode_number":"","itunes_title":"","itunes_season_number":"","itunes_episode_type":"","footnotes":""},"categories":[238,239],"tags":[241,41,240],"class_list":["post-7900","post","type-post","status-publish","format-standard","hentry","category-licenciatura-en-ingenieria-quimica","category-uda-mecanica-de-solidos","tag-carlos-enrique-alvarado-rodriguez","tag-clase-digital","tag-neli04084"],"acf":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/posts\/7900","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/users\/142"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/comments?post=7900"}],"version-history":[{"count":3,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/posts\/7900\/revisions"}],"predecessor-version":[{"id":8158,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/posts\/7900\/revisions\/8158"}],"wp:attachment":[{"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/media?parent=7900"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/categories?post=7900"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/tags?post=7900"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}