%\usetheme{default}
%\usetheme{AnnArbor} % good band of yellow at top
%\usetheme{Antibes}
%\usetheme{Bergen}
%\usetheme{Berkeley}
%\usetheme{Berlin}
%\usetheme{Boadilla}
\usetheme{CambridgeUS} % good band of grey at top
%\usetheme{Copenhagen}
%\usetheme{Darmstadt}
%\usetheme{Dresden}
%\usetheme{Frankfurt}
%\usetheme{Goettingen} % good light blue band on the right
%\usetheme{Hannover} % good grey band on the left
%\usetheme{Ilmenau}
%\usetheme{JuanLesPins}
%\usetheme{Luebeck}
%\usetheme{Madrid}
%\usetheme{Malmoe}
%\usetheme{Marburg} % good dark blue band on the right
%\usetheme{Montpellier}
%\usetheme{PaloAlto} % good grey band on the left (not complete all the way to top) similar to Hannover
%\usetheme{Pittsburgh}
%\usetheme{Rochester}
%\usetheme{Singapore}  %% very good fading band at the top
%\usetheme{Szeged}
%\usetheme{Warsaw}

% As well as themes, the Beamer class has a number of color themes
% for any slide theme. Uncomment each of these in turn to see how it
% changes the colors of your current slide theme.

%\usecolortheme{albatross}
%\usecolortheme{beaver}   	%%% 																										%% LIKE CRANE red title font
%\usecolortheme{beetle} % dark grey, so so
%\usecolortheme{crane}       %%% 																										%% LIKE BEAVER red title font
%\usecolortheme{dolphin}  %% good, simple titles (no band) - 												%%	LIKE LILY dark blue title	font	
%\usecolortheme{dove}  		%% grey scale, good
%\usecolortheme{fly}
\usecolortheme{lily}			%% good, similar to dove, but light blue theme						%% LIKE DOLPHIN blue title font
%\usecolortheme{orchid}
%\usecolortheme{rose}
%\usecolortheme{seagull}
%\usecolortheme{seahorse}		%%% very good, very good blue color band at the top             %%% GREY title font, best first page title
%\usecolortheme{whale}
%\usecolortheme{wolverine}
% sea horse

%\setbeamertemplate{footline} % To remove the footer line in all slides uncomment this line
\setbeamertemplate{footline}[page number] % To replace the footer line in all slides with a simple slide count uncomment this line
\setbeamertemplate{headline} % To remove the header line in all slides uncomment this line

\setbeamertemplate{navigation symbols}{} % To remove the navigation symbols from the bottom of all slides uncomment this line
%\beamertemplatenavigationsymbolsempty
%}

\usepackage{ifthen}
\newboolean{draftv}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\setboolean{draftv}{true}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%absolute
\ifthenelse{\boolean{draftv}}
{
		\usepackage[absolute, showboxes,verbose,overlay]{textpos}
}
{
		\usepackage[absolute, verbose,overlay]{textpos}
}

\TPGrid[0mm,0mm]{100}{100}

\newcommand{\tblk}[4]
{%
%\FPeval\wdth{#1}%
%																options with absolute
\FPeval\xstart{#2} %
\FPeval\ystart{#3}%
%																options with relative
%\FPeval\xstart{#2-3} %
%\FPeval\ystart{#3-3}%
\begin{textblock}{#1}(\xstart,\ystart)%
#4
\end{textblock}%
}

\newcommand{\bgrid}{\ifthenelse{\boolean{draftv}}%
{\tblk{100}{0}{0}{\includegraphics[width=\textwidth]{background.png}}}
{}
}

\usepackage[percent]{overpic}


\usepackage{ragged2e}
%\usepackage{etoolbox}
%\usepackage{lipsum}
%\apptocmd{\frame}{\justifying}{}{}
\justifying   % to have full justification for text



\newcommand{\emphcolor}{blue}
\newcommand{\emclr}[1]{\textcolor{\emphcolor}{#1}}
\newcommand{\empht}[1]{{\bfseries \underline{#1}}}
\newcommand{\levAP}[1]{\large{#1}}
\newcommand{\levACP}[2]{\textcolor{#1}{\large{#2}}}
\newcommand{\levACDP}[1]{\levACP{\emphcolor}{#1}}

\newcommand{\txtcgr}[1]{\textcolor{gray}{#1}}

\newcommand{\vectwo}[4]
{
\begin{tabular}{c|@{}c@{}c@{}c@{}|}
\cline{2-2}
\cline{4-4}
\txtcgr{#1}& $\:$ & #3  &  $\:$ \\
\txtcgr{#2} & & #4  & \\
\cline{2-2}
\cline{4-4}
\end{tabular}
}

\newcommand{\vecfour}[8]
{
\begin{tabular}{c|@{}c@{}c@{}c@{}|}
\cline{2-2}
\cline{4-4}
\txtcgr{#1}& $\:$ & #5  &  $\:$ \\
\txtcgr{#2}& $\:$ & #6  &  $\:$ \\
\txtcgr{#3}& $\:$ & #7  &  $\:$ \\
\txtcgr{#4}& $\:$ & #8  &  $\:$ \\
\cline{2-2}
\cline{4-4}
\end{tabular}
}


\newcommand{\mattwo}[4]
{
\begin{tabular}{c|@{}c@{}rl@{}c@{}|}
\multicolumn{3}{r}{\txtcgr{#1}} & \multicolumn{2}{l}{\txtcgr{#2}}  \\
\cline{2-2}
\cline{5-5}
\txtcgr{#1}& $\:$ & #3  &  $\:$ \\
\txtcgr{#2} & & #4  & \\
\cline{2-2}
\cline{5-5}
\end{tabular}
}

\newcommand{\matfour}[8]
{
\begin{tabular}{c|@{}c@{}rlll@{}c@{}|}
\multicolumn{3}{r}{\txtcgr{#1}} & \multicolumn{1}{l}{\txtcgr{#2}}& \multicolumn{1}{l}{\txtcgr{#3}}& \multicolumn{2}{l}{\txtcgr{#4}}  \\
\cline{2-2}
\cline{7-7}
\txtcgr{#1}& $\:$ & #5 &  $\:$ \\
\txtcgr{#2}& $\:$ & #6 &  $\:$ \\
\txtcgr{#3}& $\:$ & #7 &  $\:$ \\
\txtcgr{#4}& $\:$ & #8 &  $\:$ \\
\cline{2-2}
\cline{7-7}
\end{tabular}
}


\newcommand{\matfourB}[4]
{
$
\left[
\text{
\begin{tabular}{@{}cccc}
  #1 \\
 #2 \\
 #3 \\
 #4 
\end{tabular}
}
\right]
$
}

\newcommand{\bxd}[1]{{\mathbf{#1}}}
\newcommand{\TorstenfeltRef}{\begin{center}{source: B. Torstenfelt;} \ 
{\tiny \href{http://www.solid.iei.liu.se/Education/TMHL02/Book-Bars\%20and\%20Beams.pdf}{http://www.solid.iei.liu.se/Education/TMHL02/Book-Bars\%20and\%20Beams.pdf}}
\end{center}}
\newcommand{\HaftkaBeamRef}{\begin{center}{source: Nam-Ho Kim, Raphael T. Haftka; \quad  \href{http://www2.mae.ufl.edu/nkim/eml5526/}{http://www2.mae.ufl.edu/nkim/eml5526/} \ sec. 5}\end{center}}

%Instructor: 
%Class hour: 12:50-1:40 PM, MWF
%Class room: 102 NEB
%Office: 210 MAE-A
%Office hour: MWF 5thperiod (11:45 –12:35)
%Phone: 352-846-0665
%E-mail: nkim@ufl.edu
%http://www.mae.ufl.edu/nkim/eml5526/