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%% BEGIN pst-stru.tex
%%
%% This extension try to deals with wavelength in optics.
%% Beginning with spectra
%%
%% COPYRIGHT by Giuseppe Mattarazzo, Manuel Luque
%%
%% This program can be redistributed and/or modified under the terms
%% of the LaTeX Project Public License Distributed from CTAN
%% archives in directory macros/latex/base/lppl.txt.
%%
\csname PSTCircLoaded\endcsname
\let\PSTCircLoaded\endinput
% Require PSTricks and pst-node packages
\ifx\PSTricksLoaded\endinput\else\input pstricks.tex\fi
\ifx\PSTnodesLoaded\endinput\else\input pst-node.tex\fi
\ifx\PSTnodesLoaded\endinput\else\input pst-plot.tex\fi
\ifx\PSTXKeyLoaded\endinput\else\input pst-xkey\fi
%
\def\fileversion{0.13}%
\def\filedate{2015/10/08}%
\message{`PST-Stru v\fileversion,
\filedate\space (Giuseppe Matarazzo, Manuel Luque, hv)}%
%
\edef\PstAtCode{\the\catcode`\@} \catcode`\@=11\relax
\pst@addfams{pst-stru}
%
\psset{dimen=middle}
\newdimen\Start
\newdimen\debut
\newdimen\fin
\newdimen\Pst@Pos
\newcount\PAS
%
\define@boolkey[psset]{pst-stru}[Pst@]{node}[true]{}
\define@key[psset]{pst-stru}{position}{\def\psk@circuit@Pos{#1}}
\define@key[psset]{pst-stru}{OffsetLabel}{\def\psk@Label@Offset{#1}}
\define@key[psset]{pst-stru}{OffsetDipole}{\def\psk@Dipole@Offset{#1}}
\define@key[psset]{pst-stru}{AngleLabel}{\def\psk@Angle@Label{#1}}
\psset{position=0.5,node=false,OffsetLabel=0.70,OffsetDipole=0,AngleLabel=0}
%Commande permettant de placer un dipôle entre deux noeuds
%
\def\circput{\pst@object{circput}}
\def\circput@i(#1)(#2)#3#4{{%
\begin@SpecialObj
\Pst@Pos=\psk@circuit@Pos pt%
\multiply\Pst@Pos by 2
\def\Position{\pst@number\Pst@Pos}
\pst@getcoor{#1}\pst@tempA
\pst@getcoor{#2}\pst@tempB
\pnode(!%
/k \psk@circuit@Pos\space def
\pst@tempA /Y1 exch \pst@number\psyunit div def
/X1 exch \pst@number\psxunit div def
\pst@tempB /Y2 exch \pst@number\psyunit div def
/X2 exch \pst@number\psxunit div def
/XM X1 1 k sub mul X2 k mul add def
/YM Y1 1 k sub mul Y2 k mul add def
/deno X2 X1 sub def
/num Y2 Y1 sub def
/angle num deno Atan def
/XE1 XM 1 angle cos mul sub def
/YE1 YM 1 angle sin mul sub def
/XE2 XM 1 angle cos mul add def
/YE2 YM 1 angle sin mul add def
XM YM){M@}
\pnode(! XE1 YE1){E@1}
\pnode(! XE2 YE2){E@2}
\pcline(E@1)(#2)
\pcline(E@2)(#3)
\ncline[linestyle=none]{#1}{#2}
\ncput[npos=\Position]{\pnode{Temp}}
\pcline[linestyle=none,offset=\psk@Dipole@Offset](#1)(Temp)
\lput{:U}{#3}
\pcline[linestyle=none,offset=\psk@Label@Offset](#1)(Temp)
\lput{\psk@Angle@Label}{#4}
\end@SpecialObj
}\ignorespaces}
% Commande permettant de dessiner une flèche de longueur variable
% entre deux noeuds
\define@key[psset]{pst-stru}{length}{\edef\psk@circuit@Arrowlenght{#1}}
\define@key[psset]{pst-stru}{start}{\edef\psk@circuit@start{#1}}
\psset{length=1,start=0.5}
%
\def\psArrow{\pst@object{psArrow}}
\def\psArrow@i(#1)(#2)#3{{%
\begin@SpecialObj
\pst@getcoor{#1}\pst@tempA
\pst@getcoor{#2}\pst@tempB
\pnode(!%
/stru@length \psk@circuit@Arrowlenght\space def
/K \psk@circuit@start\space def
\pst@tempA /Y1 exch \pst@number\psyunit div def
/X1 exch \pst@number\psxunit div def
\pst@tempB /Y2 exch \pst@number\psyunit div def
/X2 exch \pst@number\psxunit div def
/XM X1 1 K sub mul X2 K mul add def
/YM Y1 1 K sub mul Y2 K mul add def
\pst@tempA /Y1 exch \pst@number\psyunit div def
/X1 exch \pst@number\psxunit div def
\pst@tempB /Y2 exch \pst@number\psyunit div def
/X2 exch \pst@number\psxunit div def
/Angle Y2 Y1 sub X2 X1 sub Atan def
/XE1 XM stru@length Angle cos mul add def
/YE1 YM stru@length Angle sin mul add def
XE1 YE1){E@}%
\pnode(! XM YM){M@@}
\psset{arrows=->}
\psline(M@@)(E@)%
\pcline[linestyle=none,offset=\psk@Label@Offset,arrows=-](M@@)(E@)
\lput{\psk@Angle@Label}{#3}
\end@SpecialObj
}\ignorespaces}
%
\def\node(#1){\pscircle*(#1){2\pslinewidth}}
\def\arrow{\psline[arrowinset=0,arrowscale=1.0,linewidth=0.75\pslinewidth]{->}(-2,0)(0,0)}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Structural Engineering: MACROs
% Updating:
% 7-10-2003 1) \def\fixedend
% 7-10-2003 2) macro \psArrowCivil
% 8-10-2003 3) macro \psArrowCivil: revised on loads label position
% 11-10-2003 4) \def\hinge, \def\roller, \def\guide, \interhinge,
% \def\clockCouple, \def\noclockCouple
%
% 25-10-2003 5) macro \triload for Parameterized Structure ps_01
% 2-11-2003 6) updating the above macro
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\def\fixedend{%
\psframe[fillstyle=vlines,linestyle=none,hatchwidth=0.5\pslinewidth](-0.5,0)(0.5,-0.2)
\psline[linewidth=1.5\pslinewidth](-0.5,0)(0.5,0)}
\def\hinge{%
\psframe[fillstyle=vlines,linestyle=none,hatchwidth=0.5\pslinewidth](-0.3,-0.45)(0.3,-0.3)
\psline[linewidth=1.5\pslinewidth](-0.3,-0.3)(0.3,-0.3)
\psline(0,0)(-0.3,-0.3)
\psline(0,0)(0.3,-0.3)}
\def\interhinge{\pscircle[fillstyle=solid](0,0){0.1}}
\def\guide{%
\psframe[fillstyle=vlines,linestyle=none,hatchwidth=0.5\pslinewidth](-0.3,-0.3)(0.3,-0.1)
\psline[linewidth=1.5\pslinewidth](-0.3,-0.1)(0.3,-0.1)
\psline[linewidth=1.5\pslinewidth](-0.3,0.1)(0.3,0.1)
\psframe[fillstyle=vlines,linestyle=none,hatchwidth=0.5\pslinewidth](-0.3,0.3)(0.3,0.1)}
\def\roller{%
\psframe[fillstyle=vlines,linestyle=none,hatchwidth=0.5\pslinewidth](-0.3,-0.7)(0.3,-0.5)
\psline[linewidth=1.5\pslinewidth](-0.3,-0.3)(0.3,-0.3)
\psline(0,0)(-0.3,-0.3)
\psline(0,0)(0.3,-0.3)
\psline(-0.3,-0.5)(0.3,-0.5)
\pscircle(-0.15,-0.4){0.1}
\pscircle(0.15,-0.4){0.1}}
\def\noclockCouple{%
\psset{arrowsize=1.8mm}
\psarc{->}(0,0){0.5}{280}{60}}
\def\clockCouple{%
\psset{arrowsize=1.8mm}
\psarc{<-}(0,0){0.5}{120}{260}}
%% Macro \psArrowCivil
%% ===================
\define@key[psset]{pst-stru}{RotArrows}{\def\psk@circ@RotArrows{#1}}
\psset{RotArrows=0}
\def\psArrowCivil{\pst@object{psArrowCivil}}
\def\psArrowCivil@i(#1)(#2)#3{%
% \begin@SpecialObj
\begingroup
\use@par
\pst@getcoor{#1}\pst@stru@tempA
\pst@getcoor{#2}\pst@stru@tempB
\pnode(!
/stru@length \psk@circuit@Arrowlenght\space def
/stru@K \psk@circuit@start\space def
\pst@stru@tempA /Y1 exch \pst@number\psyunit div def
/X1 exch \pst@number\psxunit div def
\pst@stru@tempB /Y2 exch \pst@number\psyunit div def
/X2 exch \pst@number\psxunit div def
/stru@XM X1 1 stru@K sub mul X2 stru@K mul add def
/stru@YM Y1 1 stru@K sub mul Y2 stru@K mul add def
\pst@stru@tempA /Y1 exch \pst@number\psyunit div def
/X1 exch \pst@number\psxunit div def
\pst@stru@tempB /Y2 exch \pst@number\psyunit div def
/X2 exch \pst@number\psxunit div def
/stru@Angle Y2 Y1 sub X2 X1 sub Atan def
/RotArrows 180 90 \psk@circ@RotArrows\space add stru@Angle add sub def
/XC stru@XM stru@length RotArrows cos mul sub def
/YC stru@YM stru@length RotArrows sin mul add def
XC YC){C@}%
\pnode(! stru@XM stru@YM){M@@}
\psset{arrows=->}
\psline(C@)(M@@)%
\pcline[linestyle=none,offset=\psk@Label@Offset,arrows=-](C@)(M@@)
%\lput{\psk@Angle@Label}{#3}
\lput{:U}{#3}
% \end@SpecialObj
\endgroup
\ignorespaces}
%%
%% Starting Macro \triload
%% =======================
%
\define@key[psset]{pst-stru}{K}{\edef\psk@triload@K{#1}}
\define@key[psset]{pst-stru}{L}{\edef\psk@triload@L{#1}}
\define@key[psset]{pst-stru}{P}{\edef\psk@triload@P{#1}}
\define@key[psset]{pst-stru}{scaleFactor}{\edef\psk@triload@F{#1}}
\psset{K=3,L=6,P=6,scaleFactor=0.15}
%
\def\triload{\pst@object{triload}}
\def\triload@i{{%
\begin@SpecialObj
\pnode(0,0){A}
\pnode(! /xB \psk@triload@L\space \psk@triload@K\space mul def xB 0){B}
\pnode(! /xC \psk@triload@K\space 1 add \psk@triload@L\space mul def xC 0){C}
%
\pnode(! /xB1 \psk@triload@L\space \psk@triload@K\space mul def xB1 -1){B1}
\pnode(! /xC1 \psk@triload@K\space 1 add \psk@triload@L\space mul def xC1 -1){C1}
%
\pnode(! /xB2 \psk@triload@L\space \psk@triload@K\space mul def xB2 -3){B2}
\pnode(! /xC2 \psk@triload@K\space 1 add \psk@triload@L\space mul def xC2 -3){C2}
%
\pnode(! /xC3 \psk@triload@K\space 1 add \psk@triload@L\space mul 0.25 add def xC3 0.5){C3}
%
\rput{0}(C){\hinge}
\rput{0}(B){\roller}
\psline[linecolor=red,fillcolor=yellow,fillstyle=solid](0,0)(!xC 0)(! xC 1)(0,0)
%
\rput(1,-2){$k=\psk@triload@K\space \quad l=\psk@triload@L\space$}
\rput(C3){\Large p}
\rput(0,-0.4){\Large A}
\rput(B1){\Large B}
\rput(C1){\Large C}
%
\pcline[offset=0,linecolor=blue]{|-|}(0,-3)(B2)
\lput*{:U}{\bf $k\cdot l$}
\pcline[offset=0,linecolor=blue]{|-|}(B2)(C2)
\lput*{:U}{\bf $l$}
% --------- Triangular Distributed Load -------------------------
\multido{\nStart=1.000+0.025}{-37}{%
\psArrowCivil[RotArrows=0,length=\nStart,start=\nStart,linecolor=magenta](A)(C){}%
}
% définir les fonctions ici
\pnode(! /func1 {\psk@triload@K\space 1 add \psk@triload@P\space exch div
-6.0 div \psk@triload@L\space div x mul x mul x mul
\psk@triload@F\space mul neg} def
/func2 {\psk@triload@K\space 1 add \psk@triload@P\space exch div
-2.0 div \psk@triload@L\space div x mul x mul
\psk@triload@F\space mul} def
/func3 {\psk@triload@K\space 1 add \psk@triload@P\space exch div
-6.0 div \psk@triload@L\space div x mul x mul x mul
\psk@triload@K\space \psk@triload@L\space mul neg x add
\psk@triload@K\space 1 add mul
\psk@triload@K\space 1 add mul
\psk@triload@P\space mul 6.0 div \psk@triload@L\space mul add
\psk@triload@F\space mul neg} def
/func4 {\psk@triload@K\space 1 add \psk@triload@P\space exch div
-2.0 div \psk@triload@L\space div x mul x mul
\psk@triload@K\space 1 add
\psk@triload@K\space 1 add mul 6.0 div
\psk@triload@P\space mul \psk@triload@L\space mul add
\psk@triload@F\space mul} def
0 0){Temp}
%----------- Bending Moment in span AB ----------------------
\pscustom[linecolor=blue,linewidth=1pt,fillstyle=hlines]{
\psplot{0}{xB}{func1}
\psline(B)(A)}
%----------- Shear in span AB ----------------------
\pscustom[linecolor=green,linewidth=1pt,fillstyle=crosshatch]{
\psplot{0}{xB}{func2}
\psline(B)(A)}
%
%----------- Bending Moment in span BC ----------------------
\pscustom[linecolor=blue,linewidth=1pt,fillstyle=hlines]{
\psplot{xB}{xC}{func3}
\psline(C)(B)}
%----------- Shear in span BC ----------------------
\pscustom[linecolor=green,linewidth=1pt,fillstyle=crosshatch]{
\psplot{xB}{xC}{func4}
% Closing Shear diagram in bearing B (right side)
\psline(C)(B)(! xB /x xB def func4)}
\end@SpecialObj
}\ignorespaces}
\catcode`\@=\PstAtCode\relax
%%
%% End: Macro \triload %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% END: pst-stru.tex
|