Commit 465d3b51 authored by Jorge Pérez Zerpa's avatar Jorge Pérez Zerpa
Browse files

Merge branch 'jorge' into 'master'

varios issues

Closes #12, #7, and #5

See merge request jorgepz/codigoFuenteLibroR2!7
parents 0f3d498f 03d7b4ee
......@@ -26,12 +26,22 @@
\usepackage{libertinust1math}
\usepackage{titlesec}
\usepackage{hyperref}
\usepackage[usenames]{color}
%\usepackage[dvipsnames]{xcolor}
\usepackage{graphicx,epsfig}
\usepackage{mathrsfs,amsfonts,amssymb,amsmath,amsthm,mathtools}
\usepackage{hyperref}
\definecolor{bluedark}{rgb}{0,0.1,0.5}%
\definecolor{miblue}{rgb}{0,0.1,0.6}%
\usepackage[colorlinks = true,
linkcolor = miblue,
urlcolor = miblue,
citecolor = blue,
anchorcolor = miblue]{hyperref}
\usepackage{anysize}
\usepackage{wasysym}
......@@ -241,8 +251,6 @@
% bash: wget https://raw.githubusercontent.com/jorgepz/myLaTeXDefinitions/master/definitions.tex
\include{texs/definitions}
%\newcommand{\cambio}{\color{blue}}
\usepackage[normalem]{ulem}
% ================ documento ====================
......
% codigoFuenteLibroR2
% Copyright (C) 2020 J.M. Perez Zerpa, et. al.
%
% This program is free software: you can redistribute it and/or modify
% it under the terms of the GNU General Public License as published by
% the Free Software Foundation version 3 of the License.
%
% This program is distributed in the hope that it will be useful,
% but WITHOUT ANY WARRANTY; without even the implied warranty of
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
% GNU General Public License for more details.
%
% You should have received a copy of the GNU General Public License
% along with this program. If not, see <http://www.gnu.org/licenses/>.
\chapter[Métodos energéticos aplicados a reticulados]{Métodos energéticos aplicados a reticulados}
......
% =======================================
% codigoFuenteLibroR2
% Copyright (C) 2020 J.M. Perez Zerpa, et. al.
%
% This program is free software: you can redistribute it and/or modify
% it under the terms of the GNU General Public License as published by
% the Free Software Foundation version 3 of the License.
%
% This program is distributed in the hope that it will be useful,
% but WITHOUT ANY WARRANTY; without even the implied warranty of
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
% GNU General Public License for more details.
%
% You should have received a copy of the GNU General Public License
% along with this program. If not, see <http://www.gnu.org/licenses/>.
\chapter[Método de Desplazamientos en pórticos]{Método de Desplazamientos en pórticos}
% intro e hipotesis
......@@ -560,20 +574,20 @@ El objetivo es entonces encontrar las fuerzas nodales equivalentes que tengan la
%
\begin{equation}
\Pi_{ext}^{tr} =
-F_{x,1}^{tr} v_1 - M_1^{tr} \theta_1 -F_{x,2}^{tr} v_2 - M_2^{tr} \theta_2
-F_{y,1}^{tr} v_1 - M_1^{tr} \theta_1 -F_{y,2}^{tr} v_2 - M_2^{tr} \theta_2
\end{equation}
donde
\begin{eqnarray}
F_{x,1}^{tr} = \int_{0}^{L} q(x) \varphi_{v_1}(x) \dif x \qquad & \displaystyle M_1^{tr} = \int_{0}^{L}q(x) \varphi_{\theta_1}(x) \dif x \nonumber\\
F_{x,2}^{tr} = \int_{0}^{L}q(x) \varphi_{v_2}(x) \dif x \qquad & \displaystyle M_2^{tr} = \int_{0}^{L} q(x)\varphi_{\theta_2}(x) \dif x \nonumber
F_{y,1}^{tr} = \int_{0}^{L} q(x) \varphi_{v_1}(x) \dif x \qquad & \displaystyle M_1^{tr} = \int_{0}^{L}q(x) \varphi_{\theta_1}(x) \dif x \nonumber\\
F_{y,2}^{tr} = \int_{0}^{L}q(x) \varphi_{v_2}(x) \dif x \qquad & \displaystyle M_2^{tr} = \int_{0}^{L} q(x)\varphi_{\theta_2}(x) \dif x \nonumber
\end{eqnarray}
En el caso particular de carga distribuida uniforme $q(x) = q$ se tiene:
%
\begin{eqnarray}
F_{x,1}^{tr} &=& \frac{q L}{2} \\
F_{y,1}^{tr} &=& \frac{q L}{2} \\
M_1^{tr} &=& \frac{q L^{2}}{12} \\
F_{x,2}^{tr} &=& \frac{q L}{2} \\
F_{y,2}^{tr} &=& \frac{q L}{2} \\
M_2^{tr} &=& - \frac{q L^{2}}{12}
\end{eqnarray}
......@@ -1267,16 +1281,6 @@ se tiene que esa condición es equivalente a
\int_{0}^{\ell} \frac{ N (x)^2 }{E A} \dif x \ll \int_{0}^{\ell} \frac{ M (x)^2 }{E I} \dif x.
\end{equation}
%En clase se resolvió un ejemplo considerando deformación por esfuerzos axiales y se mostró que, en ese caso particular, la hipótesis de rigidez a directa es razonable. %
%
%\subsection{Ejemplo}
%
%PNI 20 3x3x3 carga 400 kg/m2
% Resolviendo usando ONSAS se tiene
\subsection{Método de Elementos Finitos}
......@@ -1399,14 +1403,3 @@ Sean las siguientes estructuras conformadas por barras de \textbf{EI}=cte y de l
\def\svgwidth{0.45\textwidth}
b) \input{figs/UT3/UT3ejDespb.pdf_tex}
\end{center}
\begin{center}
%\def\svgwidth{0.45\textwidth}
%c) \input{figs/UT3/UT3ejDespc.pdf_tex}
%\def\svgwidth{0.45\textwidth}
%d) \input{figs/UT3/UT3ejDespd.pdf_tex}
\end{center}
% =======================================
% codigoFuenteLibroR2
% Copyright (C) 2020 J.M. Perez Zerpa, et. al.
%
% This program is free software: you can redistribute it and/or modify
% it under the terms of the GNU General Public License as published by
% the Free Software Foundation version 3 of the License.
%
% This program is distributed in the hope that it will be useful,
% but WITHOUT ANY WARRANTY; without even the implied warranty of
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
% GNU General Public License for more details.
%
% You should have received a copy of the GNU General Public License
% along with this program. If not, see <http://www.gnu.org/licenses/>.
\chapter[Simetría y Líneas de Influencia en pórticos]{Simetría y Líneas de Influencia en pórticos}
......
\newcommand{\mE}{{\rm E}}
\newcommand{\mG}{{\rm G}}
\chapter{Hoja de fórmulas}
\begin{scriptsize}
\scriptsize{v.\today\date{\today} - Errores y comentarios:}
%\vspace{0.05cm}
\scriptsize{\href{https://eva.fing.edu.uy/mod/forum/view.php?id=67335}{Foro de EVA de errores y sugerencias}}
\end{scriptsize}
\chapter{Fórmulas útiles}
\begin{center}
\fcolorbox{black}{lightgray}{\textbf{Método de Desplazamientos matricial para reticulados.}}
......@@ -119,10 +113,8 @@ $$
\end{center}
\begin{center}
%\def\svgwidth{0.85\textwidth}
%\resizebox{1\linewidth}{1\linewidth}{\input{./figs/eje_viga_deformada.pdf_tex}}
\def\svgwidth{0.85\textwidth}
\input{./figs/HojaFormulas/eje_viga_deformada.pdf_tex}
\def\svgwidth{0.75\textwidth}
\input{./figs/HojaFormulas/ejeVigaDeformada.pdf_tex}
\end{center}
\underline{Desplazamiento relativo:}
......@@ -152,7 +144,7 @@ F_{21} &= -\frac{(M_{12} + M_{21})}{L} + F_{21}^{tramo-iso}
\right.
$$
&
%&
\underline{Caso particular ($M_{21}=0$):}
$$
......
......@@ -19,7 +19,7 @@
\NeedsTeXFormat{LaTeX2e}[1995/12/01]
\ProvidesClass{textbook}[\filedate\ \fileversion\ LaTeX Class for writing textbooks in english or spanish.]
%\LoadClass[oneside,openright,10pt]{book}
\LoadClass[twoside,openright,10pt]{book}
\LoadClass[oneside,openright,10pt]{book}
%
% --- packages ---
%
......
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