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%  \usetheme{Marburg} % ima naslov i sadrzaj sa desne strane
%  \usetheme{Hannover} % ima naslov i sadrzaj sa leve strane 
%  \usetheme{Singapore} % ima sadrzaj i tackice gore
%  \usetheme{Antibes}  % ima sadrzaj gore i kao graf ...
%  \usetheme{Berkeley} % ima sadrzaj desno
%  \usetheme{Berlin} % ima sadrzaj gore i tackice
%  \usetheme{Goettingen} % ima sadrzxaj za desne strane
%  \usetheme{Montpellier} % ima graf sadrzaj gore
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%  \usecolortheme{seagull} % sivo
%%%%%%%
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\usepackage[english]{babel}

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\usepackage{times}
\usepackage[T1]{fontenc}
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% does not look nice, try deleting the line with the fontenc.


\title[Numerical Predictions of Soil-Foundation-Structure Interaction]
% (optional, use only with long paper titles)
{Numerical Predictions of Soil-Foundation-Structure Interaction}

%\subtitle
%{{\tiny full set of slides available at:}\\
%%\verb{http://sokocalo.engr.ucdavis.edu/~jeremic/}
%}

\pgfdeclareimage[height=0.2cm]{university-logo}{/home/jeremic/BG/amblemi/ucdavis_logo_blue_sm}

%\author[Boris Jeremi{\'c}, CompGeoMech \includegraphics[width=8cm]{/home/jeremic/BG/amblemi/ucdavis_logo_gold_lrg}] % (optional, use only with lots of authors)
\author[Jeremi{\'c}] % (optional, use only with lots of authors)
{Boris~Jeremi{\'c} \\
{\small with} \\
Yang, Cheng, Preisig, Jie, Sett, Taiebat}
% - Give the names in the same order as the appear in the paper.
% - Use the \inst{?} command only if the authors have different
%   affiliation.

\institute[Computational Geomechanics Group
\pgfuseimage{university-logo} \hspace*{-0.3truecm}] % (optional, but mostly needed)
{
  \texttt{http://geomechanics.ucdavis.edu} \\
  Department of Civil and Environmental Engineering\\
  University of California, Davis}
% - Use the \inst command only if there are several affiliations.
% - Keep it simple, no one is interested in your street address.

\date[] % (optional, should be abbreviation of conference name)
{ }
% - Either use conference name or its abbreviation.
% - Not really informative to the audience, more for people (including
%   yourself) who are reading the slides online

\subject{}
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% out. 



% If you have a file called "university-logo-filename.xxx", where xxx
% is a graphic format that can be processed by latex or pdflatex,
% resp., then you can add a logo as follows:

%\pgfdeclareimage[height=0.2cm]{university-logo}{/home/jeremic/BG/amblemi/ucdavis_logo_gold_lrg}
%\logo{\pgfuseimage{university-logo}}

% \pgfdeclareimage[height=0.5cm]{university-logo}{university-logo-filename}
% \logo{\pgfuseimage{university-logo}}



% Delete this, if you do not want the table of contents to pop up at
% the beginning of each subsection:
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   \begin{frame}<beamer>
     \frametitle{Outline}
     \tableofcontents[currentsection,currentsubsection]
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\begin{document}

\begin{frame}
  \titlepage
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\begin{frame}
  \frametitle{Outline}
  \tableofcontents
  % You might wish to add the option [pausesections]
\end{frame}


% Structuring a talk is a difficult task and the following structure
% may not be suitable. Here are some rules that apply for this
% solution: 

% - Exactly two or three sections (other than the summary).
% - At *most* three subsections per section.
% - Talk about 30s to 2min per frame. So there should be between about
%   15 and 30 frames, all told.

% - A conference audience is likely to know very little of what you
%   are going to talk about. So *simplify*!
% - In a 20min talk, getting the main ideas across is hard
%   enough. Leave out details, even if it means being less precise than
%   you think necessary.
% - If you omit details that are vital to the proof/implementation,
%   just say so once. Everybody will be happy with that.

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\section{Motivation and Tools}

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\begin{frame}
 \frametitle{Motivation}

\begin{itemize}
  
  \item Designers needs the best available tools for performance assessment

  \item Steady progress of numerical simulations over last 4 decades

  \item Steady progress of computer hardware

  \item Use of software and hardware tools for detailed (as needed) performance assessment

  \item In other words: simulation tools are available 

  \item Need to convince practice (you) that these tools are useful, 
        robust, verified, validated, and ready to be used


\end{itemize}
\end{frame}
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%\subsection{Software Tools}
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\begin{frame}
 \frametitle{Program(s)}

\begin{itemize}
  
  \item UCD Computational Geomechanics libraries: 
    \begin{itemize}
     \item nDarray (tensor, matrix and vector manipulations)
     \item FEMtools (dry and saturated  elements)
     \item Template3DEP (elastic--plastic computations)
     \item Plastic--Domain--Decomposition (PDD, for parallel runs)
    \end{itemize}

  \item Pre--processors (mesh generators) (ABAQUS, Matlab (UCD), ...)

  \item Post--processors (visualizers) (VEES (UCSC--UCD), Joey3D (UCD), Matlab, ...)

  \item Solvers (PETSc, UMFpack, ColSol (UCD)...)

  \item Graph partitioners (METIS, ParMETIS)

  \item OpenSees analysis model (revised at UCD)

\end{itemize}
\end{frame}
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%\subsection{Hardware Tools}

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\begin{frame}
 \frametitle{Computer(s)}

\begin{itemize}
  
  \item Linux and Windows PCs 

  \item  Any other UNIX (Apple) based computer

  \item  BeoWulf class parallel computers (clusters)

  \item Simulations possible on desktops and on large national parallel supercomputers! 

  \item As hardware steadily progresses, frontiers are rapidly expanding 

\end{itemize}
\end{frame}
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\begin{frame}
 \frametitle{Verification, Validation and Prediction !}


\begin{itemize}

     \item Verification: the  process  of  determining  that    a  model
   implementation  accurately  represents the developer's conceptual description
   and specification. Mathematics issue. {\it Verification provides evidence that the
   model is solved correctly.}

     \item Validation:  The process of determining the degree to which a
   model  is  accurate  representation of the real world from the perspective of
   the  intended  uses  of  the  model.  Physics issue. {\it Validation provides
   evidence that the correct model is solved.}

   \item Prediction:  use  of  computational  model  to foretell the state of a
   physical   system   under  consideration  under  conditions  for  which  the
   computational model has not been validated
\end{itemize}

%
%\item Models available (some now, some later) 
%\vspace*{-2.0cm}
\end{frame}
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\section{Behavior of Piles and Pile Groups}








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\subsection{Single Piles in Layered Soils}



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\begin{frame}
 \frametitle{Single Pile in Layered Soils: Model}


\begin{figure}[!htbp]
\begin{center}
\includegraphics[width=4.0cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/SinglePiles/SinglePile_CS_color.pdf}
\hfill
\includegraphics[width=4.0cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/SinglePiles/spUFmesh.pdf}
\end{center}
%\vspace*{-0.3cm}
\end{figure}

\end{frame}


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\begin{frame}
 \frametitle{Single Pile in Sand: M, Q, p}
\begin{figure}[!htbp]
\begin{center}
\includegraphics[width=7.5cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/SinglePiles/MQP_dsand_UFmid2hdp0.jpg}
\end{center}
\end{figure}
\end{frame}
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\begin{frame}
 \frametitle{Single Pile in Clay: M, Q, p}
\begin{figure}[!htbp]
\begin{center}
\includegraphics[width=7.5cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/SinglePiles/MQP_sfclay_UF2hdp0.jpg}
\end{center}
\end{figure}
\end{frame}
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\begin{frame}
 \frametitle{Single Pile in Sand with Clay Layer: M, Q, p}
\begin{figure}[!htbp]
\begin{center}
\includegraphics[width=7.5cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/SinglePiles/MQP_sand_wsfclay_UFmid2hdp0.jpg}
\end{center}
\end{figure}
\end{frame}
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\begin{frame}
 \frametitle{Single Pile in Clay with Sand Layer: M, Q, p}
\begin{figure}[!htbp]
\begin{center}
\includegraphics[width=7.5cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/SinglePiles/MQP_sfclay_sand_UF2hdp0.jpg}
\end{center}
\end{figure}
\end{frame}
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\begin{frame}
 \frametitle{Single Pile in Sand: $p-y$ Response}
\begin{figure}[!htbp]
\begin{center}
\includegraphics[width=7.5cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/SinglePiles/p_y_dsand_UFmid2hdp0.jpg}
\includegraphics[width=3.5cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/SinglePiles/MQP_dsand_UFmid2hdp0.jpg}
\hspace*{-1cm}
\end{center}
\end{figure}
\end{frame}
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\begin{frame}
 \frametitle{Single Pile in Clay: $p-y$ Response}
\begin{figure}[!htbp]
\begin{center}
\includegraphics[width=7.5cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/SinglePiles/p_y_sfclay_UF2hdp0.jpg}
\includegraphics[width=3.5cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/SinglePiles/MQP_sfclay_UF2hdp0.jpg}
\hspace*{-1cm}
\end{center}
\end{figure}
\end{frame}
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\begin{frame}
 \frametitle{Single Pile in Sand with Clay Layer: $p-y$ Response}
\begin{figure}[!htbp]
\begin{center}
\includegraphics[width=7.5cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/SinglePiles/p_y_sand_sfclay_UFmid2hdp0.jpg}
\includegraphics[width=3.5cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/SinglePiles/MQP_sand_wsfclay_UFmid2hdp0.jpg}
\hspace*{-1cm}
\end{center}
\end{figure}
\end{frame}
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\begin{frame}
 \frametitle{Single Pile in Clay with Sand Layer: $p-y$ Response}
\begin{figure}[!htbp]
\begin{center}
\includegraphics[width=7.5cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/SinglePiles/p_y_sfclay_sand_UF2hdp0.jpg}
\includegraphics[width=3.5cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/SinglePiles/MQP_sfclay_sand_UF2hdp0.jpg}
\hspace*{-1cm}
\end{center}
\end{figure}
\end{frame}
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\begin{frame}
 \frametitle{$p-y$ Pressure Ratio Reduction for Layered Soils}
\begin{figure}[!htbp]
\begin{center}
\includegraphics[width=7cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/SinglePiles/P_ReductionRatio_sand3casesdp0_065.jpg}
\includegraphics[width=3.5cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/SinglePiles/MQP_sand_wsfclay_UFmid2hdp0.jpg}
\hspace*{-1cm}
\end{center}
\end{figure}
\end{frame}
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\subsection{Pile Groups}


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\begin{frame}
 \frametitle{Pile Group Simulations}

\begin{figure}[!hbpt]
\vspace*{-1.0cm}
\begin{center}
\hspace*{-1.0cm}
\includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/PileGroups/p4X3_Joey_iso.pdf}
\includegraphics[width=6cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/PileGroups/Plastified_3X3pg_skewCOLOR.pdf}
\end{center}
\end{figure}

\end{frame}

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\begin{frame}
 \frametitle{Bending Moments}

\begin{figure}[!hbpt]
%\vspace*{-0.3cm}
\begin{center}
\includegraphics[width=7.5cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/PileGroups/4x3PileGroupBendingMoments.jpg}
\end{center}
\end{figure}
%\vspace*{-1.0cm}

\end{frame}

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\begin{frame}
 \frametitle{Out of Plane Effects}

\begin{figure}[!hbpt]
\vspace*{-0.3cm}
\begin{center}
\includegraphics[width=4.5cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/PileGroups/Mx_4x3_4piles_com_dense.jpg}
\includegraphics[width=2cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/PileGroups/p4X3_deformedPile_Y.jpg}
\end{center}
\end{figure}
\vspace*{-1.0cm}

\end{frame}

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\begin{frame}
 \frametitle{Load Distribution per Pile}

\begin{figure}[!h]
\vspace*{-6.3cm}
\begin{center}
\includegraphics[width=9cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/PileGroups/LoadRatio_per_pile_Dense_pg4x3.pdf}
\end{center}
\end{figure}
\vspace*{-8.3cm}

\end{frame}

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\begin{frame}
 \frametitle{Piles Interaction at -2.0m ($p-y$)}




%\vspace*{-1.3cm}
%\vspace*{-1.3cm}
\begin{figure}[!hbpt]
\begin{center}
\includegraphics[width=10cm]{/home/jeremic/tex/works/Thesis/ZhaohuiYang/PileGroups/pg4x3_p_y_allpiles_20.jpg}
\end{center}
\end{figure}

%\begin{large}
%\begin{itemize}
%\item  Note the difference in response curves (cannot scale single pile response
%for multiple piles)
%\end{itemize}
%\end{large}


\end{frame}



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\section{Liquefying Soils}



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\subsection{Single Element and Soil Column Liquefaction}

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\begin{frame}
 \frametitle{Material Model Validation}


\begin{figure}[!htbp]
\hspace*{-0.4cm}
%\begin{center}
\includegraphics[width=5cm]{/home/jeremic/tex/works/Conferences/2007/GeoDenver/Coupled/Present/DMvalidation01a.jpg}
\hspace*{0.5cm}
\includegraphics[width=5.2cm]{/home/jeremic/tex/works/Conferences/2007/GeoDenver/Coupled/Present/DMvalidation02a.jpg}
\hspace*{-0.4cm}
%\end{center}
\end{figure}
%--   
%--   

%
%\item Models available (some now, some later) 
%\vspace*{-2.0cm}
\end{frame}
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\begin{frame}
 \frametitle{Level Ground, Dense Sand}


\vspace*{-0.7cm}
\begin{figure}[!htbp]
\begin{center}
  \includegraphics[width=11cm]{/home/jeremic/tex/works/Conferences/2007/PEERAnnualMeeting/Liquefaction/DenseLevelGround.jpg} \\
\end{center}
\end{figure}



\end{frame}

% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%  \frametitle{Medium Sand}
% 
% 
% 
% 
% \end{frame}
% 
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\begin{frame}
 \frametitle{Level Ground, Loose Sand}


\vspace*{-0.7cm}
\begin{figure}[!htbp]
\begin{center}
  \includegraphics[width=11cm]{/home/jeremic/tex/works/Conferences/2007/PEERAnnualMeeting/Liquefaction/LooseLevelGround.jpg} \\
\end{center}
\end{figure}




\end{frame}

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\begin{frame}
 \frametitle{Sloping Ground, Dense Sand}

\vspace*{-0.0cm}
\begin{figure}[!htbp]
\begin{center}
  \includegraphics[width=10.5cm]{/home/jeremic/tex/works/Conferences/2007/PEERAnnualMeeting/Liquefaction/DenseSlopingGround.jpg} \\
\end{center}
\end{figure}


% 

\end{frame}

% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%  \frametitle{Medium Sand}
% 
% 
% 
% 
% \end{frame}

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\begin{frame}
 \frametitle{Sloping Ground, Loose Sand}

\vspace*{-0.0cm}
\begin{figure}[!htbp]
\begin{center}
  \includegraphics[width=10.5cm]{/home/jeremic/tex/works/Conferences/2007/PEERAnnualMeeting/Liquefaction/LooseSlopingGround.jpg} \\
\end{center}
\end{figure}




\end{frame}

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\subsection{Piles in Liquefying Soils}

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\begin{frame}
 \frametitle{Bridge Pier--Pile Model}


\vspace*{-0.2cm}
\begin{figure}[!htbp]
\begin{center}
  \includegraphics[width=6cm]{/home/jeremic/tex/works/Conferences/2007/PEERAnnualMeeting/Liquefaction/PileBridgeModel01.jpg} \\
  \includegraphics[width=7cm]{/home/jeremic/tex/works/Conferences/2007/PEERAnnualMeeting/Liquefaction/PileBridgeModel02.jpg} \\
\end{center}
\end{figure}





\end{frame}

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\begin{frame}
 \frametitle{Bridge Pier in Level Ground}

\vspace*{-0.3cm}
\begin{figure}[!htbp]
%\begin{center}
\hspace*{-1.0cm}
  \includegraphics[width=13cm]{/home/jeremic/tex/works/Conferences/2007/PEERAnnualMeeting/Liquefaction/PileBridgeLevelGroundEPP.jpg} \\
%\end{center}
\end{figure}





\end{frame}

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\begin{frame}
 \frametitle{Bridge Pier in Sloping Ground}

\vspace*{-0.3cm}
\begin{figure}[!htbp]
%\begin{center}
\hspace*{-1.0cm}
\includegraphics[width=13cm]{/home/jeremic/tex/works/Conferences/2007/PEERAnnualMeeting/Liquefaction/PileBridgeSlopingGroundEPP.jpg} \\
%\end{center}
\end{figure}





\end{frame}

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\begin{frame}
 \frametitle{Case IV: Sloping Ground}

\begin{figure}[!htbp]
%\begin{center}
\hspace*{-1.0cm}
\includegraphics[width=5cm]{/home/jeremic/tex/works/Thesis/ZhaoCheng/thesis/file/upU/SinglePile/SP_Slope_FixAngle/EPP_CaseIV.jpg} 
%\end{center}
\end{figure}

\end{frame}

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\begin{frame}
 \frametitle{Case V: Pile in Sloping Ground, Free Top}

\begin{figure}[!htbp]
%\begin{center}
\hspace*{-1.0cm}
\includegraphics[width=5cm]{/home/jeremic/tex/works/Thesis/ZhaoCheng/thesis/file/upU/SinglePile/SP_Slope_FixAngle/EPP_CaseV.jpg} 
%\end{center}
\end{figure}

\end{frame}

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\begin{frame}
 \frametitle{Case VI: Pile in Sloping Ground, Fixed Top Rotation}

\begin{figure}[!htbp]
%\begin{center}
\hspace*{-1.0cm}
\includegraphics[width=5cm]{/home/jeremic/tex/works/Thesis/ZhaoCheng/thesis/file/upU/SinglePile/SP_Slope_FixAngle/EPP_CaseVI.jpg} 
%\end{center}
\end{figure}

\end{frame}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
 \frametitle{Comparing Cases IV, V, and VI}

\begin{figure}[!htbp]
%\begin{center}
\hspace*{-1.0cm}
\vspace*{-0.5cm}

\begin{flushleft}
\includegraphics[width=4.8cm]{/home/jeremic/tex/works/Thesis/ZhaoCheng/thesis/file/upU/SinglePile/SP_Slope_FixAngle/Ru_Case456.jpg} 
\end{flushleft}
%
\vspace*{-7cm}
\begin{flushright}
\includegraphics[width=5cm]{/home/jeremic/tex/works/Thesis/ZhaoCheng/thesis/file/upU/SinglePile/SP_Slope_FixAngle/HorizontalDisp_Case456.jpg}
\\ 
\includegraphics[width=2.5cm]{/home/jeremic/tex/works/Thesis/ZhaoCheng/thesis/file/upU/SinglePile/SP_Slope_FixAngle/maxMoment_Case56.jpg} 
\end{flushright}
%\end{center}
\end{figure}

\end{frame}

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\section{ESS Simulations}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\subsection{High Fidelity, 3D Models}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


\begin{frame}
 \frametitle{Detailed 3D, FEM model}

   \begin{itemize}

  \item Construction process

  \item Two types of soil: stiff soil (UT, UCD), soft soil (Bay Mud)

  \item Deconvolution of given surface ground motions

  \item Use of the DRM  (Prof. Bielak et al.) for seismic input

  \item Piles $\rightarrow$ beam-column elements in soil holes

  \item No artificial damping (only mat. dissipation, radiation)

  \item Structural model: collaboration UCD, UCB and UW

  \item Element size issues (filtering of frequencies) 

\vspace*{-0.3cm}
\begin{table}[!htbp]
%\caption{ }
\begin{center}
\begin{tabular}{|c|c|c|c|r|} 
\hline
model  size (el) &  el.  size  &  $f_{cutoff}$  & min. $G/Gmax$ & $\gamma$  \\
\hline
%
%
% 100cm element model, f_cuttof=10HZ, G/Gmax=1.0, 12K elements, Gmax model
12K         &  1.0~m          &  10~Hz      & 1.0      & <0.5~\% \\
%
%
%~90cm element model, f_cutoff ~= 3Hz, G/Gmax~=0.08, for epsilon ~= 1%, 15K
%elements, now running...
15K         &  0.9~m          &  >3~Hz     & 0.08            & 1.0~\% \\
%
%
%27.6cm element model, f_cutoff= 10HZ, G/Gmax=0.08, for epsilon = 1%, 150K
%elements, finest model
150K        &  0.3~m          &  10~Hz      & 0.08            & 1.0~\% \\
500K        &  0.15~m          &  10~Hz      & 0.02            & 5.0~\% \\
% 27.6cm element model, f_cutoff= 10HZ, G/Gmax=0.08, for epsilon = 1%, 150K
%elements, finest model
\hline
\end{tabular}
\end{center}
\end{table}

  \end{itemize}


\end{frame}
%- 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}
 \frametitle{FEM Mesh (one of)}

%
\begin{figure}[!htbp] 
\begin{center}
\includegraphics[width=8cm]{/home/jeremic/tex/works/Reports/2006/NEESDemoProject/PrototypeMesh.jpg}
%\caption{\label{BridgeSFSI01}  FEM  model  for  seismic response of a three bend
%bridge.}
\end{center}
\end{figure}
%
\end{frame}
%- 

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}
  \frametitle{Northridge and Kocaeli Input Motions}


\begin{figure}[!htbp] 
\begin{center}
\hspace*{-1cm}
\includegraphics[width=6.0truecm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/InputMotion_Northridge.pdf}
\includegraphics[width=6.0truecm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/LongMotion/InputMotion_Kocaeli.pdf}
\hspace*{-1cm}
\\
\hspace*{-1cm}
\includegraphics[width=6.0truecm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/InputMotion_Northridge_Spectrum.pdf}
\includegraphics[width=6.0truecm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/LongMotion/InputMotion_Kocaeli_Spectrum.pdf}
\hspace*{-1cm}
%\caption{\label{BridgeSFSI01}  FEM  model  for  seismic response of a three bend
%bridge.}
\end{center}
\end{figure}
%

\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{frame}
  \frametitle{Simulation Results}


\vspace*{-0.5cm}
%\begin{landscape}
\begin{figure}[!htbp]
\begin{center}
\hspace*{-1cm}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/DispSoilBlock1.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/DispBent1.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/DispSoilBlock2.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/DispBent2.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/DispSoilBlock3.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/DispBent3.pdf}
\hspace*{-1cm}
\\
\hspace*{-1cm}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/AccelSoilBlock1.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/AccelBent1.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/AccelSoilBlock2.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/AccelBent2.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/AccelSoilBlock3.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/AccelBent3.pdf}
\hspace*{-1cm}
\\
\hspace*{-1cm}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/DispSoilBlock1_Spectrum.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/DispBent1_Spectrum.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/DispSoilBlock2_Spectrum.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/DispBent2_Spectrum.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/DispSoilBlock3_Spectrum.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/DispBent3_Spectrum.pdf}
\hspace*{-1cm}
\\
\hspace*{-1cm}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/AccelSoilBlock1_Spectrum.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/AccelBent1_Spectrum.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/AccelSoilBlock2_Spectrum.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/AccelBent2_Spectrum.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/AccelSoilBlock3_Spectrum.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/AccelBent3_Spectrum.pdf}
\hspace*{-1cm}
\\
\hspace*{-1cm}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/MomentBent1Pile1.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/MomentBent1Pile2.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/MomentBent2Pile1.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/MomentBent2Pile2.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/MomentBent3Pile1.pdf}
\includegraphics[width=1.8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/MomentBent3Pile2.pdf}
\hspace*{-1cm}
\end{center}
\end{figure}

\vspace*{-0.8cm}
\begin{figure}[!htbp] 
\begin{center}
\includegraphics[width=3.2cm]{/home/jeremic/tex/works/Reports/2006/NEESDemoProject/PrototypeMesh.jpg}
%\caption{\label{BridgeSFSI01}  FEM  model  for  seismic response of a three bend
%bridge.}
\end{center}
\end{figure}
\vspace*{-2cm}


\clearpage




\end{frame}

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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%



\subsection{Behavior for Short and Long Period Motions}



%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
  \frametitle{Northridge Input Motions}


\vspace*{-0.7cm}
\begin{figure}[!htbp] 
\begin{center}
\hspace*{-1cm}
\includegraphics[width=8.0truecm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/InputMotion_Northridge.pdf}
\hspace*{-1cm}
\\
\hspace*{-1cm}
\includegraphics[width=8.0truecm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/InputMotion_Northridge_Spectrum.pdf}
\hspace*{-1cm}
%\caption{\label{BridgeSFSI01}  FEM  model  for  seismic response of a three bend
%bridge.}
\end{center}
\end{figure}
\vspace*{-1.0cm}
%

\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
  \frametitle{Short Period E.: Left Bent, Structure and Soil, Disp.}
  



\vspace*{-1cm}
\begin{figure}[!htbp] 
\begin{center}
\includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/DispBent1.pdf}
%\includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/DispBent1.pdf}
\\
\includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/DispSoilBlock1.pdf}
%\includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/DispSoilBlock1.pdf}
%\caption{\label{BridgeSFSI01}  FEM  model  for  seismic response of a three bend
%bridge.}
\end{center}
\end{figure}


\vspace*{-2.9cm}
\hspace*{0.2cm}
\begin{figure}[!htbp] 
\begin{flushright}
\includegraphics[width=1.5cm]{/home/jeremic/tex/works/Reports/2006/NEESDemoProject/PrototypeMesh.jpg}
%\caption{\label{BridgeSFSI01}  FEM  model  for  seismic response of a three bend
%bridge.}
\end{flushright}
\end{figure}
\hspace*{-0.5cm}
\vspace*{-2.0cm}



\end{frame}
%-- 




%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
  \frametitle{Short Period E.:  Left Bent, Structure and Soil, Acc.}
  



\vspace*{-1cm}
\begin{figure}[!htbp] 
\begin{center}
\includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/AccelBent1.pdf}
\\
\includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/AccelSoilBlock1.pdf}
%\caption{\label{BridgeSFSI01}  FEM  model  for  seismic response of a three bend
%bridge.}
\end{center}
\end{figure}


\vspace*{-2.9cm}
\hspace*{0.2cm}
\begin{figure}[!htbp] 
\begin{flushright}
\includegraphics[width=1.5cm]{/home/jeremic/tex/works/Reports/2006/NEESDemoProject/PrototypeMesh.jpg}
%\caption{\label{BridgeSFSI01}  FEM  model  for  seismic response of a three bend
%bridge.}
\end{flushright}
\end{figure}
\hspace*{-0.5cm}
\vspace*{-2.0cm}

\end{frame}
%-- 



%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
  \frametitle{Short Period E.: Left Bent, Structure and Soil, Acc.Sp.}
  



\vspace*{-1cm}
\begin{figure}[!htbp] 
\begin{center}
\includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/AccelBent1_Spectrum.pdf}
\\
\includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/AccelSoilBlock1_Spectrum.pdf}
%\caption{\label{BridgeSFSI01}  FEM  model  for  seismic response of a three bend
%bridge.}
\end{center}
\end{figure}


\vspace*{-2.9cm}
\hspace*{0.2cm}
\begin{figure}[!htbp] 
\begin{flushright}
\includegraphics[width=1.5cm]{/home/jeremic/tex/works/Reports/2006/NEESDemoProject/PrototypeMesh.jpg}
%\caption{\label{BridgeSFSI01}  FEM  model  for  seismic response of a three bend
%bridge.}
\end{flushright}
\end{figure}
\hspace*{-0.5cm}
\vspace*{-2.0cm}


\end{frame}
%-- 



%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
  \frametitle{Short Period E.: Left Bent, Structure and Soil, M.}
  



\vspace*{-1cm}
\begin{figure}[!htbp] 
\begin{center}
\includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/MomentBent1Pile1.pdf}
\\
\includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/MomentBent1Pile2.pdf}
%\caption{\label{BridgeSFSI01}  FEM  model  for  seismic response of a three bend
%bridge.}
\end{center}
\end{figure}




\vspace*{-2.9cm}
\hspace*{0.2cm}
\begin{figure}[!htbp] 
\begin{flushright}
\includegraphics[width=1.5cm]{/home/jeremic/tex/works/Reports/2006/NEESDemoProject/PrototypeMesh.jpg}
%\caption{\label{BridgeSFSI01}  FEM  model  for  seismic response of a three bend
%bridge.}
\end{flushright}
\end{figure}
\hspace*{-0.5cm}
\vspace*{-2.0cm}


\end{frame}
%-- 

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
  \frametitle{Short Period E.: Left Bent, Structure and Soil, M.}
  



\vspace*{-1cm}
\begin{figure}[!htbp] 
\begin{center}
\includegraphics[width=11cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/MomentBent1Pile1_25s_SC.pdf}
%\caption{\label{BridgeSFSI01}  FEM  model  for  seismic response of a three bend
%bridge.}
\end{center}
\end{figure}


\vspace*{-2.9cm}
\hspace*{0.2cm}
\begin{figure}[!htbp] 
\begin{flushright}
\includegraphics[width=1.5cm]{/home/jeremic/tex/works/Reports/2006/NEESDemoProject/PrototypeMesh.jpg}
%\caption{\label{BridgeSFSI01}  FEM  model  for  seismic response of a three bend
%bridge.}
\end{flushright}
\end{figure}
\hspace*{-0.5cm}
\vspace*{-2.0cm}


\end{frame}
%-- 

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
  \frametitle{Short Period E.: Left Bent, Free Field vs Real Disp.}
  



\vspace*{-1cm}
\begin{figure}[!htbp] 
\begin{center}
\includegraphics[width=11cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/DispSoilBlock1_15cm_25s_SC.pdf}
%\caption{\label{BridgeSFSI01}  FEM  model  for  seismic response of a three bend
%bridge.}
\end{center}
\end{figure}


\vspace*{-2.9cm}
\hspace*{0.2cm}
\begin{figure}[!htbp] 
\begin{flushright}
\includegraphics[width=1.5cm]{/home/jeremic/tex/works/Reports/2006/NEESDemoProject/PrototypeMesh.jpg}
%\caption{\label{BridgeSFSI01}  FEM  model  for  seismic response of a three bend
%bridge.}
\end{flushright}
\end{figure}
\hspace*{-0.5cm}
\vspace*{-2.0cm}


\end{frame}
%-- 

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%



%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
  \frametitle{Kocaeli Input Motions}


\vspace*{-0.7cm}
\begin{figure}[!htbp] 
\begin{center}
\hspace*{-1cm}
\includegraphics[width=8.0truecm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/LongMotion/InputMotion_Kocaeli.pdf}
\hspace*{-1cm}
\\
\hspace*{-1cm}
\includegraphics[width=8.0truecm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/version_OKT/Images/LongMotion/InputMotion_Kocaeli_Spectrum.pdf}
\hspace*{-1cm}
%\caption{\label{BridgeSFSI01}  FEM  model  for  seismic response of a three bend
%bridge.}
\end{center}
\end{figure}
%
\vspace*{-1cm}

\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
  \frametitle{Long Period E.: Left Bent, Structure and Soil, Disp.}
  



\vspace*{-1cm}
\begin{figure}[!htbp] 
\begin{center}
\includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/LongMotion/DispBent1.pdf}
\\
\includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/LongMotion/DispSoilBlock1.pdf}
%\caption{\label{BridgeSFSI01}  FEM  model  for  seismic response of a three bend
%bridge.}
\end{center}
\end{figure}


\vspace*{-2.9cm}
\hspace*{0.2cm}
\begin{figure}[!htbp] 
\begin{flushright}
\includegraphics[width=1.5cm]{/home/jeremic/tex/works/Reports/2006/NEESDemoProject/PrototypeMesh.jpg}
%\caption{\label{BridgeSFSI01}  FEM  model  for  seismic response of a three bend
%bridge.}
\end{flushright}
\end{figure}
\hspace*{-0.5cm}
\vspace*{-2.0cm}



\end{frame}
%-- 




%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
  \frametitle{Long Period E.: Left Bent, Structure and Soil, Acc.}
  



\vspace*{-1cm}
\begin{figure}[!htbp] 
\begin{center}
\includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/LongMotion/AccelBent1.pdf}
\\
\includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/LongMotion/AccelSoilBlock1.pdf}
%\caption{\label{BridgeSFSI01}  FEM  model  for  seismic response of a three bend
%bridge.}
\end{center}
\end{figure}



\vspace*{-2.9cm}
\hspace*{0.2cm}
\begin{figure}[!htbp] 
\begin{flushright}
\includegraphics[width=1.5cm]{/home/jeremic/tex/works/Reports/2006/NEESDemoProject/PrototypeMesh.jpg}
%\caption{\label{BridgeSFSI01}  FEM  model  for  seismic response of a three bend
%bridge.}
\end{flushright}
\end{figure}
\hspace*{-0.5cm}
\vspace*{-2.0cm}


\end{frame}
%-- 



%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
  \frametitle{Long Period E.: Left Bent, Structure and Soil, Acc.Sp.}
  



\vspace*{-1cm}
\begin{figure}[!htbp] 
\begin{center}
\includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/LongMotion/AccelBent1_Spectrum.pdf}
\\
\includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/LongMotion/AccelSoilBlock1_Spectrum.pdf}
%\caption{\label{BridgeSFSI01}  FEM  model  for  seismic response of a three bend
%bridge.}
\end{center}
\end{figure}


\vspace*{-2.9cm}
\hspace*{0.2cm}
\begin{figure}[!htbp] 
\begin{flushright}
\includegraphics[width=1.5cm]{/home/jeremic/tex/works/Reports/2006/NEESDemoProject/PrototypeMesh.jpg}
%\caption{\label{BridgeSFSI01}  FEM  model  for  seismic response of a three bend
%bridge.}
\end{flushright}
\end{figure}
\hspace*{-0.5cm}
\vspace*{-2.0cm}


\end{frame}
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\begin{frame}
  \frametitle{Long Period E.: Left Bent, Structure and Soil, M.}
  



\vspace*{-1cm}
\begin{figure}[!htbp] 
\begin{center}
\includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/LongMotion/MomentBent1Pile1.pdf}
\\
\includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/LongMotion/MomentBent1Pile2.pdf}
%\caption{\label{BridgeSFSI01}  FEM  model  for  seismic response of a three bend
%bridge.}
\end{center}
\end{figure}


\vspace*{-2.9cm}
\hspace*{0.2cm}
\begin{figure}[!htbp] 
\begin{flushright}
\includegraphics[width=1.5cm]{/home/jeremic/tex/works/Reports/2006/NEESDemoProject/PrototypeMesh.jpg}
%\caption{\label{BridgeSFSI01}  FEM  model  for  seismic response of a three bend
%bridge.}
\end{flushright}
\end{figure}
\hspace*{-0.5cm}
\vspace*{-2.0cm}


\end{frame}
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%  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{frame}
%   \frametitle{Soft Soils: Left Bent, Structure and Soil, Moments}
%   
% 
% 
% 
% \vspace*{-1cm}
% \begin{figure}[!htbp] 
% \begin{center}
% \includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/LongMotion/MomentBent1Pile1_25s_SC.pdf}
% %\caption{\label{BridgeSFSI01}  FEM  model  for  seismic response of a three bend
% %bridge.}
% \end{center}
% \end{figure}
% \vspace*{-2cm}
% 
% 
% \end{frame}
% %-- 
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% \begin{frame}
%   \frametitle{Soft Soils: Left Bent, Free Field vs Real Displacements}
%   
% 
% 
% 
% \vspace*{-1cm}
% \begin{figure}[!htbp] 
% \begin{center}
% \includegraphics[width=8cm]{/home/jeremic/tex/works/Thesis/GuanzhouJie/thesis/Verzija_Februar/Images/LongMotion/DispSoilBlock1_15cm_25s_SC.pdf}
% %\caption{\label{BridgeSFSI01}  FEM  model  for  seismic response of a three bend
% %bridge.}
% \end{center}
% \end{figure}
% \vspace*{-2cm}
% 
% 
% \end{frame}
% %-- 
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\section{Summary}



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\begin{frame}
  \frametitle{Summary}
  
  \begin{itemize}

\vspace*{0.3cm}
    \item Useful numerical tools are available 

%\vspace*{0.3cm}
%    \item It might take a bit of learning

\vspace*{0.3cm}
    \item Willing to help as much as I can to see these tools used in practice


\vspace*{0.3cm}
    \item  My  web  site contains many useful materials

\vspace*{0.3cm}
    \item  \texttt{\bf http://geomechanics.ucdavis.edu}



  \end{itemize}



\end{frame}
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\end{document}


