%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Copyright (C) 2018-2023 Theodore Chang
%%
%% 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, either version 3 of the License, or
%% (at your option) any later version.
%%
%% 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 .
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% structmech: A TikZ command set for structural mechanics drawings
% v1.2 by tlc
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\NeedsTeXFormat{LaTeX2e}
\ProvidesPackage{structmech}[2023/04/01 v1.2 structmech: A TikZ command set for structural mechanics drawings]
\RequirePackage{ifthen}
\RequirePackage{kvoptions}
\RequirePackage{tikz}
\RequirePackage{xkeyval}
\RequirePackage{xparse}
\RequirePackage{xstring}
\usetikzlibrary{calc,decorations.pathreplacing,positioning,decorations.pathmorphing}
\DeclareOptionX{fill}[black]{\def\fillColor{#1}}
\DeclareOptionX{line}[black]{\def\lineColor{#1}}
\DeclareOptionX{node}[black]{\def\nodeColor{#1}}
\DeclareOptionX{axis}[black]{\def\axisColor{#1}}
\DeclareOptionX{rotation}[black]{\def\rotationColor{#1}}
\DeclareOptionX{convention}[sign]{\IfStrEq{#1}{sign}{\def\convention{sign}}{\def\convention{direction}}}
\DeclareOptionX{showvalue}[on]{\IfStrEq{#1}{on}{\def\showvalue{on}}{\def\showvalue{off}}}
\DeclareOptionX{absvalue}[off]{\IfStrEq{#1}{on}{\def\absvalue{on}}{\def\absvalue{off}}}
\DeclareOptionX{opacity}[.4]{\def\fillOpacity{#1}}
\DeclareOptionX{linewidth}[.4mm]{\def\lineWidth{#1}}
\ExecuteOptionsX{fill,line,node,axis,rotation,convention,showvalue,absvalue,opacity,linewidth}
\ProcessOptionsX
\tikzset{
NOFILL/.style={fill=none,fill opacity=1},
DIAGRAM/.style={draw=\lineColor,fill=\fillColor,fill opacity=\fillOpacity},
ROTATION/.style={draw=\rotationColor,line width=\lineWidth,->},
FIXED/.style={postaction={draw,decorate,decoration={border,pre length=1mm,post length=1mm,angle=-60,amplitude=1mm,segment length=1mm}}}
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Command Zero: Set options.
% \setstructmech{1}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\NewDocumentCommand{\setstructmech}{m}{\ExecuteOptionsX{#1}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Command 1: Label All Nodal Forces.
% \NodalForce[1]{2}[3][4][5]{6}[7]
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\NewDocumentCommand{\NodalForce}{O{\nodeColor} m O{} O{} O{} G{0} O{1}}{
\begin{scope}[rotate around={#6:(#2)},shift={(#2)},scale=#7]
\IfEq{#3}{}
{\draw[#1,line width=\lineWidth,->](-1,0)--(-.2,0);}
{\IfEq{#3}{N}
{}
{\IfStrEq{\convention}{sign}
{\draw[#1,line width=\lineWidth,->](-1,0)--(-.2,0);\node[fill=none,#1]at(-1.4,0){\footnotesize$#3$};}
{\StrLeft{#3}{1}[\SS]\IfStrEq{\SS}{-}
{\draw[#1,line width=\lineWidth,->](-.2,0)--(-1,0);\node[fill=none,#1]at(-1.4,0){\footnotesize$\StrDel[1]{#3}{-}$};}
{\draw[#1,line width=\lineWidth,->](-1,0)--(-.2,0);\node[fill=none,#1]at(-1.4,0){\footnotesize$#3$};}
}
}
}
\IfEq{#4}{}
{\draw[#1,line width=\lineWidth,->](0,-1)--(0,-.2);}
{\IfEq{#4}{N}
{}
{\IfStrEq{\convention}{sign}
{\draw[#1,line width=\lineWidth,->](0,-1)--(0,-.2);\node[fill=none,#1]at(0,-1.4){\footnotesize$#4$};}
{\StrLeft{#4}{1}[\SS]\IfStrEq{\SS}{-}
{\draw[#1,line width=\lineWidth,->](0,-.2)--(0,-1);\node[fill=none,#1]at(0,-1.4){\footnotesize$\StrDel[1]{#4}{-}$};}
{\draw[#1,line width=\lineWidth,->](0,-1)--(0,-.2);\node[fill=none,#1]at(0,-1.4){\footnotesize$#4$};}
}
}
}
\IfEq{#5}{}
{\draw[#1,line width=\lineWidth,->](.2121,-.2121)arc[#1,start angle=-45,end angle=135,radius=3mm];}
{\IfEq{#5}{N}
{}
{\IfStrEq{\convention}{sign}
{\draw[#1,line width=\lineWidth,->](.2121,-.2121)arc[#1,start angle=-45,end angle=135,radius=3mm];\node[#1,fill=none]at(-.5303,.5303){\footnotesize$#5$};}
{\StrLeft{#5}{1}[\SS]\IfStrEq{\SS}{-}
{\draw[#1,line width=\lineWidth,<-](.2121,-.2121)arc[#1,start angle=-45,end angle=135,radius=3mm];\node[#1,fill=none]at(-.5303,.5303){\footnotesize$\StrDel[1]{#5}{-}$};}
{\draw[#1,line width=\lineWidth,->](.2121,-.2121)arc[#1,start angle=-45,end angle=135,radius=3mm];\node[#1,fill=none]at(-.5303,.5303){\footnotesize$#5$};}
}
}
}
\end{scope}
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Command 2: Label Element Forces.
% \BasicForce[1]{2}{3}{4}{5}[6][7][8]
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\NewDocumentCommand{\BasicForce}{O{3} m m m G{above=2mm} o o o}{
\coordinate(A)at(#2);
\coordinate(B)at(#3);
\pgfmathanglebetweenpoints{\pgfpointanchor{A}{center}}{\pgfpointanchor{B}{center}}
\let\Angle\pgfmathresult
\tikzset{
EndRotA/.style={start angle=\Angle+90,end angle=\Angle+270,radius=3mm},
EndRotB/.style={start angle=\Angle-90,end angle=\Angle+90,radius=3mm},
EndRotC/.style={start angle=\Angle+270,end angle=\Angle+90,radius=3mm},
EndRotD/.style={start angle=\Angle+90,end angle=\Angle-90,radius=3mm},
}
\IfEq{#1}{1}
{
\IfNoValueTF{#6}
{\draw[\axisColor,line width=\lineWidth,<->](#2)--(#3)node[midway,fill=none,#5]{$#4$};}
{\IfStrEq{\convention}{sign}
{\draw[\axisColor,line width=\lineWidth,<->](#2)--(#3)node[midway,fill=none,#5]{$#4$}node[midway,fill=white]{\footnotesize$#6$};}
{\StrLeft{#6}{1}[\SS]\IfStrEq{\SS}{-}
{\draw[\axisColor,line width=\lineWidth,>-<](#2)--(#3)node[midway,fill=none,#5]{$#4$}node[midway,fill=white]{\footnotesize$\StrDel[1]{#6}{-}$};}
{\draw[\axisColor,line width=\lineWidth,<->](#2)--(#3)node[midway,fill=none,#5]{$#4$}node[midway,fill=white]{\footnotesize$#6$};}
}
}
}
{}
\IfEq{#1}{2L}
{
\draw[\axisColor,draw=none](#2)--(#3)node[midway,fill=none,#5]{$#4$};
\IfNoValueTF{#6}
{\draw[ROTATION]($(#2)+(\Angle+90:.3)$)arc[EndRotA];}
{\IfStrEq{\convention}{sign}
{\node[fill=none,\rotationColor]at($(#2)+(\Angle+90:.6)$){\footnotesize$#6$};\draw[ROTATION]($(#2)+(\Angle+90:.3)$)arc[EndRotA];}
{\StrLeft{#6}{1}[\SS]\IfStrEq{\SS}{-}
{\node[fill=none,\rotationColor]at($(#2)+(\Angle-90:.6)$){\footnotesize$\StrDel[1]{#6}{-}$};\draw[ROTATION]($(#2)+(\Angle-90:.3)$)arc[EndRotC];}
{\node[fill=none,\rotationColor]at($(#2)+(\Angle+90:.6)$){\footnotesize$#6$};\draw[ROTATION]($(#2)+(\Angle+90:.3)$)arc[EndRotA];}
}
}
}
{}
\IfEq{#1}{2H}
{
\draw[\axisColor,draw=none](#2)--(#3)node[midway,fill=none,#5]{$#4$};
\IfNoValueTF{#6}
{\draw[ROTATION]($(#3)+(\Angle-90:.3)$)arc[EndRotB];}
{\IfStrEq{\convention}{sign}
{\node[fill=none,\rotationColor]at($(#3)+(\Angle-90:.6)$){\footnotesize$#6$};\draw[ROTATION]($(#3)+(\Angle-90:.3)$)arc[EndRotB];}
{\StrLeft{#6}{1}[\SS]\IfStrEq{\SS}{-}
{\node[fill=none,\rotationColor]at($(#3)+(\Angle+90:.6)$){\footnotesize$\StrDel[1]{#6}{-}$};\draw[ROTATION]($(#3)+(\Angle+90:.3)$)arc[EndRotD];}
{\node[fill=none,\rotationColor]at($(#3)+(\Angle-90:.6)$){\footnotesize$#6$};\draw[ROTATION]($(#3)+(\Angle-90:.3)$)arc[EndRotB];}
}
}
}
{}
\IfEq{#1}{2}
{
\draw[\axisColor,draw=none](#2)--(#3)node[midway,fill=none,#5]{$#4$};
\IfNoValueTF{#6}
{\draw[ROTATION]($(#2)+(\Angle+90:.3)$)arc[EndRotA];}
{\IfStrEq{\convention}{sign}
{\node[fill=none,\rotationColor]at($(#2)+(\Angle+90:.6)$){\footnotesize$#6$};\draw[ROTATION]($(#2)+(\Angle+90:.3)$)arc[EndRotA];}
{\StrLeft{#6}{1}[\SS]\IfStrEq{\SS}{-}
{\node[fill=none,\rotationColor]at($(#2)+(\Angle-90:.6)$){\footnotesize$\StrDel[1]{#6}{-}$};\draw[ROTATION]($(#2)+(\Angle-90:.3)$)arc[EndRotC];}
{\node[fill=none,\rotationColor]at($(#2)+(\Angle+90:.6)$){\footnotesize$#6$};\draw[ROTATION]($(#2)+(\Angle+90:.3)$)arc[EndRotA];}
}
}
\IfNoValueTF{#7}
{\draw[ROTATION]($(#3)+(\Angle-90:.3)$)arc[EndRotB];}
{\IfStrEq{\convention}{sign}
{\node[fill=none,\rotationColor]at($(#3)+(\Angle-90:.6)$){\footnotesize$#7$};\draw[ROTATION]($(#3)+(\Angle-90:.3)$)arc[EndRotB];}
{\StrLeft{#7}{1}[\SS]\IfStrEq{\SS}{-}
{\node[fill=none,\rotationColor]at($(#3)+(\Angle+90:.6)$){\footnotesize$\StrDel[1]{#7}{-}$};\draw[ROTATION]($(#3)+(\Angle+90:.3)$)arc[EndRotD];}
{\node[fill=none,\rotationColor]at($(#3)+(\Angle-90:.6)$){\footnotesize$#7$};\draw[ROTATION]($(#3)+(\Angle-90:.3)$)arc[EndRotB];}
}
}
}
{}
\IfEq{#1}{3}
{
\IfNoValueTF{#6}
{\draw[\axisColor,line width=\lineWidth,<->](#2)--(#3)node[midway,fill=none,#5]{$#4$};}
{\IfStrEq{\convention}{sign}
{\draw[\axisColor,line width=\lineWidth,<->](#2)--(#3)node[midway,fill=none,#5]{$#4$}node[midway,fill=white]{\footnotesize$#6$};}
{\StrLeft{#6}{1}[\SS]\IfStrEq{\SS}{-}
{\draw[\axisColor,line width=\lineWidth,>-<](#2)--(#3)node[midway,fill=none,#5]{$#4$}node[midway,fill=white]{\footnotesize$\StrDel[1]{#6}{-}$};}
{\draw[\axisColor,line width=\lineWidth,<->](#2)--(#3)node[midway,fill=none,#5]{$#4$}node[midway,fill=white]{\footnotesize$#6$};}
}
}
\IfNoValueTF{#7}
{\draw[ROTATION]($(#2)+(\Angle+90:.3)$)arc[EndRotA];}
{\IfStrEq{\convention}{sign}
{\node[fill=none,\rotationColor]at($(#2)+(\Angle+90:.6)$){\footnotesize$#7$};\draw[ROTATION]($(#2)+(\Angle+90:.3)$)arc[EndRotA];}
{\StrLeft{#7}{1}[\SS]\IfStrEq{\SS}{-}
{\node[fill=none,\rotationColor]at($(#2)+(\Angle-90:.6)$){\footnotesize$\StrDel[1]{#7}{-}$};\draw[ROTATION]($(#2)+(\Angle-90:.3)$)arc[EndRotC];}
{\node[fill=none,\rotationColor]at($(#2)+(\Angle+90:.6)$){\footnotesize$#7$};\draw[ROTATION]($(#2)+(\Angle+90:.3)$)arc[EndRotA];}
}
}
\IfNoValueTF{#8}
{\draw[ROTATION]($(#3)+(\Angle-90:.3)$)arc[EndRotB];}
{\IfStrEq{\convention}{sign}
{\node[fill=none,\rotationColor]at($(#3)+(\Angle-90:.6)$){\footnotesize$#8$};\draw[ROTATION]($(#3)+(\Angle-90:.3)$)arc[EndRotB];}
{\StrLeft{#8}{1}[\SS]\IfStrEq{\SS}{-}
{\node[fill=none,\rotationColor]at($(#3)+(\Angle+90:.6)$){\footnotesize$\StrDel[1]{#8}{-}$};\draw[ROTATION]($(#3)+(\Angle+90:.3)$)arc[EndRotD];}
{\node[fill=none,\rotationColor]at($(#3)+(\Angle-90:.6)$){\footnotesize$#8$};\draw[ROTATION]($(#3)+(\Angle-90:.3)$)arc[EndRotB];}
}
}
}
{}
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Command 3: Hinge support
% \HingeSupport[1]{2}{3}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\NewDocumentCommand{\HingeSupport}{O{0} m G{1}}{
\begin{scope}[rotate around={#1:(#2)},shift={(#2)},scale=#3]
\draw[line width=\lineWidth](0,0)--++(-.25,-.4)--++(.5,0)--cycle;
\draw[line width=\lineWidth,FIXED](-.4,-.4)--++(.8,0);
\end{scope}
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Command 4: UDL
% \UDL[1]{2}{3}[4]{5}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\makeatletter
\NewDocumentCommand{\UDL}{O{N} m m O{} G{1}}{
\IfEq{#1}{F}{\def\FAC{-1}}{\def\FAC{1}}
\coordinate(A)at(#2);
\coordinate(B)at(#3);
\pgfmathanglebetweenpoints{\pgfpointanchor{A}{center}}{\pgfpointanchor{B}{center}}
\let\Angle\pgfmathresult
\pgfpointdiff{\pgfpointanchor{A}{center}}{\pgfpointanchor{B}{center}}
\pgfmathparse{veclen(\pgf@x,\pgf@y)/28.45274}
\let\Length\pgfmathresult
\draw[\fillColor,fill=\fillColor,fill opacity=\fillOpacity](#2)--(#3)--($(#3)+(\Angle+\FAC*90:#5)$)--($(#2)+(\Angle+\FAC*90:#5)$)--cycle;
\IfNoValueTF{#4}
{}
{\IfStrEq{\convention}{sign}
{\node[NOFILL]at($(#2)!.5!(#3)+(\Angle+\FAC*90:1.2*#5)$)[rotate=\Angle]{$#4$};}
{\StrLeft{#4}{1}[\SS]\IfStrEq{\SS}{-}
{\node[NOFILL]at($(#2)!.5!(#3)+(\Angle+\FAC*90:1.2*#5)$)[rotate=\Angle]{$\StrDel[1]{#4}{-}$};}
{\node[NOFILL]at($(#2)!.5!(#3)+(\Angle+\FAC*90:1.2*#5)$)[rotate=\Angle]{$#4$};}
}
}
\foreach\x in{0,.1,.2,...,1}{
\coordinate(C)at($(#2)!\x!(#3)$);
\IfNoValueTF{#4}
{\draw[<-](C)--++($(\Angle+\FAC*90:#5)$);}
{\IfStrEq{\convention}{sign}
{\draw[<-](C)--++($(\Angle+\FAC*90:#5)$);}
{\StrLeft{#4}{1}[\SS]\IfStrEq{\SS}{-}
{\draw[->](C)--++($(\Angle+\FAC*90:#5)$);}
{\draw[<-](C)--++($(\Angle+\FAC*90:#5)$);}
}
}
};
}
\makeatother
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Command 5: Fixed support
% \FixedSupport[1]{2}{3}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\NewDocumentCommand{\FixedSupport}{O{0} m G{1}}{
\begin{scope}[rotate around={#1:(#2)},shift={(#2)},scale=#3]
\draw[draw=\lineColor,line width=\lineWidth,FIXED](-.4,0)--++(.8,0);
\end{scope}
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Command 6: Roller support
% \RollerSupport[1]{2}{3}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\NewDocumentCommand{\RollerSupport}{O{0} m G{1}}{
\begin{scope}[rotate around={#1:(#2)},shift={(#2)},scale=#3]
\draw[draw=\lineColor,line width=\lineWidth]
(0,0)--++(-.25,-.3)--++(.5,0)--cycle
(-.15,-.35)circle(.05)
(+.15,-.35)circle(.05);
\draw[draw=\lineColor,line width=\lineWidth,FIXED]
(-.4,-.4)--++(.8,0);
\end{scope}
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Command 7: Slider support
% \SliderSupport[1]{2}{3}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\NewDocumentCommand{\SliderSupport}{O{0} m G{1}}{
\begin{scope}[rotate around={#1:(#2)},shift={(#2)},scale=#3]
\draw[draw=\lineColor,line width=\lineWidth]
(-.25,-.1/#3)--++(.5,0)
(-.15,-.14/#3)--++(0,-.22)
(+.15,-.14/#3)--++(0,-.22);
\draw[draw=\lineColor,line width=\lineWidth,fill=white]
(-.15,-.14/#3)circle(.04)++(0,-.22)circle(.04)
(+.15,-.14/#3)circle(.04)++(0,-.22)circle(.04);
\draw[draw=\lineColor,line width=\lineWidth,FIXED]
(-.4,-.14/#3-.26)--++(.8,0);
\end{scope}
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Command 8: Sleeve support
% \SleeveSupport[1]{2}{3}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\NewDocumentCommand{\SleeveSupport}{O{0} m O{.4} G{1}}{
\begin{scope}[rotate around={#1:(#2)},shift={(#2)},scale=#4]
\draw[draw=\lineColor,line width=\lineWidth,FIXED](#3/2,-.4)--++(0,.8)(-#3/2,.4)--++(0,-.8);
\end{scope}
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Command 9: Coordinate system frame
% \CoorOrigin[1]{2}{3}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\NewDocumentCommand{\CoorOrigin}{O{0} m O{x} O{y} G{1}}{
\begin{scope}[rotate around={#1:(#2)},shift={(#2)},scale=#5]
\draw[draw=\lineColor,line width=\lineWidth,->](-.2,0)--++(1,0);\node[fill=none,draw=none]at(1.1,0){\footnotesize$#3$};
\draw[draw=\lineColor,line width=\lineWidth,->](0,-.2)--++(0,1);\node[fill=none,draw=none]at(0,1.1){\footnotesize$#4$};
\end{scope}
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Command 10: Rigid constraint
% \Rigid[1]{2}{3}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\NewDocumentCommand{\Rigid}{O{0} m G{1}}{
\begin{scope}[rotate around={#1:(#2)},shift={(#2)},scale=#3]
\draw[draw=\fillColor,fill=\fillColor,rounded corners=.2mm](0,0)--(.25,.4)--(.4,.25)--cycle;
\end{scope}
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Command 11: Linear Internal Force
% \IForceA[1]{2}{3}{4}{5}{6}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\makeatletter
\NewDocumentCommand{\IForceA}{O{\fillColor} m m m m G{1}}{
\coordinate(A)at(#2);
\coordinate(B)at(#3);
\pgfmathanglebetweenpoints{\pgfpointanchor{A}{center}}{\pgfpointanchor{B}{center}}
\let\Angle\pgfmathresult
\coordinate(C)at($(A)+(\Angle+90:#4*#6)$);
\coordinate(D)at($(B)+(\Angle-90:#5*#6)$);
\draw[#1,fill=#1,fill opacity=\fillOpacity](A)--(C)--(D)--(B)--cycle;
\pgfpointdiff{\pgfpointanchor{A}{center}}{\pgfpointanchor{B}{center}}
\pgfmathparse{veclen(\pgf@x,\pgf@y)/28.45274}
\let\Length\pgfmathresult
\IfStrEq{\showvalue}{on}{
\StrLeft{#4}{1}[\SA]
% \IfStrEq{\SA}{-}
% {\IfStrEq{\absvalue}{on}
% {\node[NOFILL]at($(C)+(\Angle-90:\Length/8)$)[rotate=\Angle]{$\StrDel[1]{#4}{-}$};}
% {\node[NOFILL]at($(C)+(\Angle-90:\Length/8)$)[rotate=\Angle]{$#4$};}
% }
% {\node[NOFILL]at($(C)+(\Angle+90:\Length/8)$)[rotate=\Angle]{$#4$};}
% \StrLeft{#5}{1}[\SB]
% \IfStrEq{\SB}{-}
% {\IfStrEq{\absvalue}{on}
% {\node[NOFILL]at($(D)+(\Angle+90:\Length/8)$)[rotate=\Angle]{$\StrDel[1]{#5}{-}$};}
% {\node[NOFILL]at($(D)+(\Angle+90:\Length/8)$)[rotate=\Angle]{$#5$};}
% }
% {\node[NOFILL]at($(D)+(\Angle-90:\Length/8)$)[rotate=\Angle]{$#5$};}
\IfStrEq{\SA}{-}
{\node[NOFILL,\lineColor]at($(C)+(\Angle-90:\Length/8)$)[rotate=\Angle]{$#4$};}
{\node[NOFILL,\lineColor]at($(C)+(\Angle+90:\Length/8)$)[rotate=\Angle]{$#4$};}
\IfStrEq{#5}{0}{
\node[NOFILL,\lineColor]at($(D)+(\Angle+90:\Length/8)$)[rotate=\Angle]{$#5$};
}{
\StrLeft{#5}{1}[\SB]
\IfStrEq{\SB}{-}
{\IfStrEq{\absvalue}{on}
{\IfStrEq{\SA}{-}
{\node[NOFILL,\lineColor]at($(D)+(\Angle+90:\Length/8)$)[rotate=\Angle]{$#5$};}
{\node[NOFILL,\lineColor]at($(D)+(\Angle+90:\Length/8)$)[rotate=\Angle]{$\StrDel[1]{#5}{-}$};}
}
{\node[NOFILL,\lineColor]at($(D)+(\Angle+90:\Length/8)$)[rotate=\Angle]{$#5$};}
}
{\IfStrEq{\absvalue}{on}
{\IfStrEq{\SA}{-}
{\node[NOFILL,\lineColor]at($(D)+(\Angle-90:\Length/8)$)[rotate=\Angle]{$-#5$};}
{\node[NOFILL,\lineColor]at($(D)+(\Angle-90:\Length/8)$)[rotate=\Angle]{$#5$};}
}
{\node[NOFILL,\lineColor]at($(D)+(\Angle-90:\Length/8)$)[rotate=\Angle]{$#5$};}
}
}
}{}
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Command 12: Parabolic Internal Force
% \IForceB[1]{2}{3}{4}{5}{6}{7}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\NewDocumentCommand{\IForceB}{O{\fillColor} m m m m m G{1}}{
\coordinate(A)at(#2);\coordinate(B)at(#3);
\pgfmathsetmacro\height{#6*#7};
\pgfmathsetmacro\lvla{#4*#7};
\pgfmathsetmacro\lvlb{#5*#7};
% original cord
\pgfmathanglebetweenpoints{\pgfpointanchor{A}{center}}{\pgfpointanchor{B}{center}}
\let\Angle\pgfmathresult
\coordinate(C)at($(A)+(\Angle+90:\lvla)$);
\coordinate(D)at($(B)+(\Angle-90:\lvlb)$);
% original length
\pgfpointdiff{\pgfpointanchor{A}{center}}{\pgfpointanchor{B}{center}}
\pgfmathparse{veclen(\pgf@x,\pgf@y)/28.45274}
\let\Length\pgfmathresult
\coordinate(G)at($(A)+(\Angle:\Length/2)$);
\begin{scope}[rotate around={\Angle:(G)},shift={(G)}]
\draw[#1,fill=#1,fill opacity=\fillOpacity]plot[domain=-.5*\Length:.5*\Length,samples=100](\x,{\height-4./\Length/\Length*\height*\x*\x-\lvla/\Length*\x-\lvlb/\Length*\x+\lvla/2-\lvlb/2})--(B)--(A)--cycle;
\end{scope}
\IfStrEq{\showvalue}{on}{
\StrLeft{#4}{1}[\SA]
\IfStrEq{\SA}{-}
{\IfStrEq{\absvalue}{on}
{\node[NOFILL,\lineColor]at($(C)+(\Angle-90:\Length/8)$)[rotate=\Angle]{$\StrDel[1]{#4}{-}$};}
{\node[NOFILL,\lineColor]at($(C)+(\Angle-90:\Length/8)$)[rotate=\Angle]{$#4$};}
}
{\node[NOFILL,\lineColor]at($(C)+(\Angle+90:\Length/8)$)[rotate=\Angle]{$#4$};}
\StrLeft{#5}{1}[\SB]
\IfStrEq{\SB}{-}
{\IfStrEq{\absvalue}{on}
{\node[NOFILL,\lineColor]at($(D)+(\Angle+90:\Length/8)$)[rotate=\Angle]{$\StrDel[1]{#5}{-}$};}
{\node[NOFILL,\lineColor]at($(D)+(\Angle+90:\Length/8)$)[rotate=\Angle]{$#5$};}
}
{\node[NOFILL,\lineColor]at($(D)+(\Angle-90:\Length/8)$)[rotate=\Angle]{$#5$};}
}{}
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Command 13: Beam Deformation (perpendicular)
% \BeamDeformP[1]{2}{3}{4}[5]{6}[7]{8}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\NewDocumentCommand{\BeamDeformP}{O{\fillColor} m m m O{0} m O{0} G{1}}{
\coordinate(A)at(#2);\coordinate(B)at(#3);
% original cord
\pgfmathanglebetweenpoints{\pgfpointanchor{A}{center}}{\pgfpointanchor{B}{center}}
\let\Angle\pgfmathresult
\coordinate(C)at($(A)+(\Angle+90:#4*#8)$);
\coordinate(D)at($(B)+(\Angle-90:#6*#8)$);
\pgfmathanglebetweenpoints{\pgfpointanchor{C}{center}}{\pgfpointanchor{D}{center}}
\let\AngleB\pgfmathresult
\draw[#1,line width=\lineWidth](C)to[out=\AngleB+#5*#8,in=180+\AngleB+#7*#8](D);
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Command 13: Beam Deformation (Rotation Only)
% \BeamDeformR[1]{2}{3}[4][5]{6}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\NewDocumentCommand{\BeamDeformR}{O{\fillColor} m m O{0} O{0} G{1}}{
\coordinate(A)at(#2);\coordinate(B)at(#3);
% original cord
\pgfmathanglebetweenpoints{\pgfpointanchor{A}{center}}{\pgfpointanchor{B}{center}}
\let\Angle\pgfmathresult
\draw[#1,line width=\lineWidth](A)to[out=\Angle+#4*#6,in=180+\Angle+#5*#6](B);
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Command 14: Dashpot
% \Dashpot[1]{2}{3}{4}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\NewDocumentCommand{\Dashpot}{O{\fillColor} m m G{1}}{
\coordinate(A)at(#2);\coordinate(B)at(#3);
% original cord
\pgfmathanglebetweenpoints{\pgfpointanchor{A}{center}}{\pgfpointanchor{B}{center}}
\let\Angle\pgfmathresult
\pgfpointdiff{\pgfpointanchor{A}{center}}{\pgfpointanchor{B}{center}}
\pgfmathparse{veclen(\pgf@x,\pgf@y)/28.45274}
\let\Length\pgfmathresult
\pgfmathsetmacro\unitL{#4*\Length/10};
\coordinate(G)at($(A)+(\Angle:\Length/2)$);
\begin{scope}[rotate around={\Angle:(G)},shift={(G)}]
\draw[#1,line width=\lineWidth]
(-\Length/2,0)--(-.5*\unitL,0)
(0,0)--(\Length/2,0)
(0,-.5*\unitL)--++(0,\unitL)
(.5*\unitL,\unitL)--++(-\unitL,0)--++(0,-2*\unitL)--++(\unitL,0);
\end{scope}
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Command 15: Spring
% \Spring[1]{2}{3}{4}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\NewDocumentCommand{\Spring}{O{\fillColor} m m G{1}}{
\coordinate(A)at(#2);\coordinate(B)at(#3);
% original cord
\pgfmathanglebetweenpoints{\pgfpointanchor{A}{center}}{\pgfpointanchor{B}{center}}
\let\Angle\pgfmathresult
\pgfpointdiff{\pgfpointanchor{A}{center}}{\pgfpointanchor{B}{center}}
\pgfmathparse{veclen(\pgf@x,\pgf@y)/28.45274}
\let\Length\pgfmathresult
\pgfmathsetmacro\unitL{#4*\Length/10};
\coordinate(G)at($(A)+(\Angle:\Length/2)$);
\begin{scope}[rotate around={\Angle:(G)},shift={(G)}]
\draw[#1,line width=\lineWidth]
(-\Length/2,0)--(-2*\unitL,0)
(2*\unitL,0)--(\Length/2,0);
\draw[#1,line width=\lineWidth,decorate,decoration={zigzag,segment length=3mm, amplitude=1mm}](-2*\unitL,0)--(2*\unitL,0);
\end{scope}
}
\makeatother