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authorKarl Berry <karl@freefriends.org>2016-12-21 22:13:50 +0000
committerKarl Berry <karl@freefriends.org>2016-12-21 22:13:50 +0000
commit6c96ff9af535476c3e29709eb7f90bf5fb76c35a (patch)
treeafa20da66a98b2460370aa2dbfd2b7550639724b /Master/texmf-dist/tex/latex
parent399ec11d0dff4eb7f37230a578d4032e6dbf9aed (diff)
stanli (21dec16)
git-svn-id: svn://tug.org/texlive/trunk@42765 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master/texmf-dist/tex/latex')
-rw-r--r--Master/texmf-dist/tex/latex/stanli/stanli.sty2107
1 files changed, 2107 insertions, 0 deletions
diff --git a/Master/texmf-dist/tex/latex/stanli/stanli.sty b/Master/texmf-dist/tex/latex/stanli/stanli.sty
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@@ -0,0 +1,2107 @@
+%=============================================================================
+% File: stanli.tex -- Structural Analysis Library based on PGF/TikZ
+% Author(s): Juergen Hackl <hackl.j@gmx.at>
+% Creation: 21 Dec 2016
+% Time-stamp: <Mit 2016-12-21 09:42 juergen>
+% Version: 3.0 (2016-12-21)
+%
+% Copyright (c) 2016 Juergen Hackl <hackl.j@gmx.at>
+%
+% More information on LaTeX: http://www.latex-project.org/
+%=============================================================================
+
+%================================================
+% use Package
+%================================================
+
+\NeedsTeXFormat{LaTeX2e}
+\ProvidesPackage{stanli}
+
+%
+%================================================
+% use Package
+%================================================
+%
+\RequirePackage{ifthen}
+\RequirePackage{tikz}
+\RequirePackage{xargs}
+\usetikzlibrary{shapes,arrows}
+\usetikzlibrary{positioning}
+\usepackage{verbatim}
+\usetikzlibrary{automata}
+\usetikzlibrary{arrows}
+\usetikzlibrary{calc,3d}
+\usetikzlibrary{%
+ decorations.pathreplacing,%
+ decorations.pathmorphing%
+}
+\usetikzlibrary{patterns}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% 2D Structural Analysis Library base on TikZ
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%
+%================================================
+% some variables
+%================================================
+%
+
+%------------------------------------------------
+% colors
+%------------------------------------------------
+
+\newcommand{\pathdrawcolor}{black} %
+\newcommand{\pathfillcolor}{white} %
+\newcommand{\colorGray}{gray} %
+
+%------------------------------------------------
+% line widths
+%------------------------------------------------
+
+\newcommand{\hugeLineWidth}{2pt} %
+\newcommand{\bigLineWidth}{1.5pt} %
+\newcommand{\normalLineWidth}{1pt} %
+\newcommand{\smallLineWidth}{.7pt} %
+\newcommand{\tinyLineWidth}{.3pt} %
+
+%------------------------------------------------
+% construction parameters
+%------------------------------------------------
+
+\newcommand{\scalingParameter}{1} %
+
+\newcommand{\hingeRadius}{1.5mm} %
+\newcommand{\hingeAxialLength}{5mm} %
+\newcommand{\hingeAxialHeight}{3mm} %
+\newcommand{\hingeCornerLength}{3mm} %
+
+\newcommand{\hatchingAngle}{45} %
+\newcommand{\hatchingAmplitude}{1.1cm} %
+\newcommand{\hatchingLength}{1.5mm} %
+
+\newcommand{\springLength}{10mm} %
+\newcommand{\springPreLength}{7pt} %
+\newcommand{\springPostLength}{3pt} %
+\newcommand{\springAmplitude}{2.5mm} %
+\newcommand{\springSegmentLength}{5pt} %
+
+\newcommand{\supportGap}{1mm} %
+\newcommand{\supportBasicLength}{12mm} %
+\newcommand{\supportBasicHeight}{3.5mm} %
+\newcommand{\supportLength}{8mm} %
+\newcommand{\supportHeight}{5mm} %
+\newcommand{\supportHatchingLength}{20mm} %
+\newcommand{\supportHatchingHeight}{5mm} %
+
+\newcommand{\barGap}{1.5mm} %
+\newcommand{\barAngle}{45} %
+
+%------------------------------------------------
+% load parameters
+%------------------------------------------------
+
+\newcommand{\forceDistance}{1.5mm} %
+\newcommand{\forceLength}{10mm} %
+\newcommand{\momentDistance}{4mm} %
+\newcommand{\momentAngle}{270} %
+\newcommand{\lineloadDistance}{3mm} %
+\newcommand{\lineloadForce}{0.15} %
+\newcommand{\lineloadInterval}{0.2} %
+
+%------------------------------------------------
+% temperature parameters
+%------------------------------------------------
+
+\newcommand{\temperatureHeight}{6mm} %
+
+%------------------------------------------------
+% dimensioning parameters
+%------------------------------------------------
+
+\newcommand{\dimensioningBar}{4mm} %
+
+
+%------------------------------------------------
+% help values
+%------------------------------------------------
+
+\newcommand{\helpVarA}{1} %
+\newcommand{\helpVarB}{1} %
+
+%
+%================================================
+% new tikz styles
+%================================================
+%
+
+%------------------------------------------------
+% line styles
+%------------------------------------------------
+
+\tikzstyle{hugeLine}=[line width=\hugeLineWidth,]
+\tikzstyle{bigLine}=[line width=\bigLineWidth,]
+\tikzstyle{normalLine}=[line width=\normalLineWidth,]
+\tikzstyle{smallLine}=[line width=\smallLineWidth,]
+\tikzstyle{tinyLine}=[line width=\tinyLineWidth,]
+
+%------------------------------------------------
+% spring style
+%------------------------------------------------
+
+\tikzstyle{spring} = [
+ normalLine,
+ decoration=
+ {
+ zigzag,
+ pre length=\springPreLength,
+ post length=\springPostLength,
+ segment length=\springSegmentLength,
+ amplitude=\springAmplitude
+ },
+ decorate,
+]
+
+%------------------------------------------------
+% hatch style
+%------------------------------------------------
+
+\tikzstyle{hatching} = [
+ tinyLine,
+ draw,
+ decorate,
+ decoration=
+ {
+ border,
+ angle=\hatchingAngle,
+ amplitude=\hatchingAmplitude,
+ segment length=\hatchingLength
+ }
+]
+
+%------------------------------------------------
+% hatch style for torsional spring
+%------------------------------------------------
+
+\tikzstyle{hatchingspring} = [
+ tinyLine,
+ draw,
+ decorate,
+ decoration=
+ {
+ border,
+ angle=\hatchingAngle,
+ amplitude=\hatchingAmplitude/2,
+ segment length=\hatchingLength/2
+ }
+]
+
+%------------------------------------------------
+% force style
+%------------------------------------------------
+
+\tikzstyle{force}=[>=latex,normalLine]
+
+%
+%================================================
+% library elements
+%================================================
+%
+
+%------------------------------------------------
+% scaling
+%------------------------------------------------
+% \scaling{scaling value}
+%
+
+\newcommandx{\scaling}[1]{
+ \renewcommand{\scalingParameter}{#1}
+}
+
+%------------------------------------------------
+% point
+%------------------------------------------------
+% \point{name}{x-coordiante}{y-coordiante}
+%
+
+\newcommandx{\point}[3]{
+ \node[coordinate][
+ shift={(#2*\scalingParameter,#3*\scalingParameter)}](#1){};
+}
+
+%------------------------------------------------
+% beam
+%------------------------------------------------
+% \beam{type}{initial point}{end point}[rounded initial point][rounded end point]
+
+\newcommandx{\beam}[5][4=0,5=0]{
+ \ifthenelse{\equal{#1}{1}}{ %
+ \draw [hugeLine] (#2) -- (#3);
+ \coordinate (barVarA) at ($ (#2)!\barGap!-\barAngle:(#3) $);
+ \coordinate (barVarB) at ($ (#3)!\barGap!\barAngle:(#2) $);
+ \draw [smallLine,dashed] (barVarA) -- (barVarB);
+ \ifthenelse{\equal{#4}{0}}{}
+ {\fill (#2) circle (\hugeLineWidth/2);}
+ \ifthenelse{\equal{#5}{0}}{}
+ {\fill (#3) circle (\hugeLineWidth/2);}
+ }{}
+
+ \ifthenelse{\equal{#1}{2}}{ %
+ \draw [bigLine] (#2) -- (#3);
+ \ifthenelse{\equal{#4}{0}}{}
+ {\fill (#2) circle (\bigLineWidth/2);}
+ \ifthenelse{\equal{#5}{0}}{}
+ {\fill (#3) circle (\bigLineWidth/2);}
+ }{}
+
+ \ifthenelse{\equal{#1}{3}}{ %
+ \draw [normalLine,dashed] (#2) -- (#3);
+ }{}
+
+ \ifthenelse{\equal{#1}{4}}{ %
+ \draw [hugeLine] (#2) -- (#3);
+ \ifthenelse{\equal{#4}{0}}{}
+ {\fill (#2) circle (\hugeLineWidth/2);}
+ \ifthenelse{\equal{#5}{0}}{}
+ {\fill (#3) circle (\hugeLineWidth/2);}
+ }{}
+}
+
+%------------------------------------------------
+% support
+%------------------------------------------------
+% \support{type}{insertion point}[rotation]
+%
+
+\newcommandx{\support}[3][3=0]{
+ \ifthenelse{\equal{#1}{1}}{ %
+ \begin{scope}[rotate around={#3:(#2)}]
+ \draw [normalLine] (#2) -- ++(\supportLength/2,-\supportHeight) -- ++(-\supportLength,0) -- cycle;
+ \draw [normalLine] ($(#2)+1*(\supportBasicLength/2,-\supportHeight)$) -- ++(-\supportBasicLength,0);
+ \clip ($(#2)+1*(-\supportBasicLength/2,-\supportBasicHeight-\supportHeight)$) rectangle ($(#2)+1*(\supportBasicLength/2,-\supportHeight)$);
+ \draw[hatching]($(#2)+1*(\supportHatchingLength/2,-\supportHatchingHeight)$) -- ++(-\supportHatchingLength,0);
+ \end{scope}
+ }{}
+
+ \ifthenelse{\equal{#1}{2}}{ %
+ \begin{scope}[rotate around={#3:(#2)}]
+ \draw [normalLine] (#2) -- ++(\supportLength/2,-\supportHeight) -- ++(-\supportLength,0) -- cycle;
+ \draw [normalLine] ($(#2)+1*(\supportBasicLength/2,-\supportHeight)$) -- ++(-\supportBasicLength,0);
+ \draw [normalLine] ($(#2)+1*(\supportBasicLength/2,-\supportHeight-\supportGap)$) -- ++(-\supportBasicLength,0);
+ \clip ($(#2)+1*(-\supportBasicLength/2,-\supportBasicHeight-\supportHeight-\supportGap)$) rectangle ($(#2)+1*(\supportBasicLength/2,-\supportHeight-\supportGap)$);
+ \draw[hatching]($(#2)+1*(\supportHatchingLength/2,-\supportHatchingHeight-\supportGap)$) -- ++(-\supportHatchingLength,0);
+ \end{scope}
+ }{}
+
+ \ifthenelse{\equal{#1}{3}}{ %
+ \begin{scope}[rotate around={#3:(#2)}]
+ \draw [normalLine] ($(#2)+1*(\supportBasicLength/2,0)$) -- ++(-\supportBasicLength,0);
+ \clip ($(#2)+1*(-\supportBasicLength/2,-\supportBasicHeight)$) rectangle ($(#2)+1*(\supportBasicLength/2,0)$);
+ \draw[hatching]($(#2)+1*(\supportHatchingLength/2,0)$) -- ++(-\supportHatchingLength,0);
+ \end{scope}
+ }{}
+
+ \ifthenelse{\equal{#1}{4}}{ %
+ \begin{scope}[rotate around={#3:(#2)}]
+ \draw [normalLine] ($(#2)+1*(\supportBasicLength/2,0)$) -- ++(-\supportBasicLength,0);
+ \draw [normalLine] ($(#2)+1*(\supportBasicLength/2,-\supportGap)$) -- ++(-\supportBasicLength,0);
+ \clip ($(#2)+1*(-\supportBasicLength/2,-\supportBasicHeight-\supportGap)$) rectangle ($(#2)+1*(\supportBasicLength/2,-\supportGap)$);
+ \draw[hatching]($(#2)+1*(\supportHatchingLength/2,-\supportGap)$) -- ++(-\supportHatchingLength,0);
+ \end{scope}
+ }{}
+
+ \ifthenelse{\equal{#1}{5}}{ %
+ \begin{scope}[rotate around={#3:(#2)}]
+ \draw [spring] (#2) -- ++(0,-\springLength);
+ \draw [normalLine] ($(#2)+1*(\supportBasicLength/2,-\springLength)$) -- ++(-\supportBasicLength,0);
+ \clip ($(#2)+1*(-\supportBasicLength/2,-\supportBasicHeight-\springLength)$) rectangle ($(#2)+1*(\supportBasicLength/2,-\springLength)$);
+ \draw[hatching]($(#2)+1*(\supportHatchingLength/2,-\springLength)$) -- ++(-\supportHatchingLength,0);
+ \end{scope}
+ }{}
+
+ \ifthenelse{\equal{#1}{6}}{ %
+ \begin{scope}[rotate around={#3:(#2)}]
+ \begin{scope}[rotate around={-90:(#2)},shift={(#2)}]
+ \draw[normalLine,scale=0.035,domain=0:18.85,variable=\t,smooth,]
+ plot({\t*sin(\t r)},{-\t*cos(\t r)});
+ \end{scope}
+ \draw [normalLine] ($(#2)+1*(-\supportBasicLength/2.5,0)$) -- ++(-\supportBasicLength/3.5,0);
+ \clip ($(#2)+1*(-\supportBasicLength/2.5,0)$) rectangle ($(#2)+1*(-\supportBasicLength/1.47,-\supportBasicHeight/2)$);
+ \draw[hatchingspring]($(#2)+1*(0,0)$) -- ++(-\supportHatchingLength/2,0);
+ \end{scope}
+ }{}
+}
+
+%------------------------------------------------
+% hinge
+%------------------------------------------------
+% \hinge{type}{insertion point}[rotation][initial point][end point]
+% [rotation][initial point][end point] are optional
+%
+
+\newcommandx{\hinge}[5][3=0,4=0,5=0]{
+ \ifthenelse{\equal{#1}{1}}{ %
+ \begin{scope}[rotate around={#3:(#2)}]
+ \fill [white] (#2) circle (\hingeRadius);
+ \draw [normalLine] (#2) circle (\hingeRadius);
+ \end{scope}
+ }{}
+
+ \ifthenelse{\equal{#1}{2}}{ %
+ \begin{scope}[even odd rule]
+ \ifthenelse{\equal{#5}{1}}{
+ \clip (#2) circle (\hingeRadius+\normalLineWidth)
+ (#2)--(#3)--($(#3)!\hingeRadius+\normalLineWidth!-90:(#2)$)--($(#4)!\hingeRadius+\normalLineWidth!90:(#2)$)--(#4)-- cycle;
+ }{
+ \clip (#2)--(#3)--($(#3)!\hingeRadius+\normalLineWidth!-90:(#2)$)--($(#4)!\hingeRadius+\normalLineWidth!90:(#2)$)--(#4)-- cycle;
+ }
+ \filldraw [fill=white,normalLine] (#2) circle (\hingeRadius);
+ \end{scope}
+ \draw[hugeLine] ($(#2)!\hingeRadius!(#3)$)--(#2)--($(#2)!\hingeRadius!(#4)$);
+ }{}
+
+ \ifthenelse{\equal{#1}{3}}{ %
+ \begin{scope}[rotate around={#3:(#2)}]
+ \fill [white] (#2) circle (\supportGap/1.5);
+ \draw [normalLine] ($(#2)+1*(\supportGap/2,\supportBasicLength/2)$) -- ++(0,-\supportBasicLength);
+ \draw [normalLine] ($(#2)+1*(-\supportGap/2,\supportBasicLength/2)$) -- ++(0,-\supportBasicLength);
+ \end{scope}
+ }{}
+
+ \ifthenelse{\equal{#1}{4}}{ %
+ \begin{scope}[rotate around={#3:(#2)}]
+ \fill [white] ($(#2)+1*(-\hingeAxialLength/3,\hingeAxialHeight/2)$) rectangle ($(#2)+1*(0,-\hingeAxialHeight/2)$);
+ \draw [normalLine] ($(#2)+1*(2*\hingeAxialLength/3,\hingeAxialHeight/2)$)
+ -- ++(-\hingeAxialLength,0)
+ -- ++(0,-\hingeAxialHeight)
+ -- ++(\hingeAxialLength,0);
+ \end{scope}
+ }{}
+
+ \ifthenelse{\equal{#1}{5}}{ %
+ \coordinate (hingeVarA) at ($ (#2)!\hingeCornerLength!(#3) $);
+ \coordinate (hingeVarB) at ($ (#2)!\hingeCornerLength!(#4) $);
+ \fill[black] (#2) -- (hingeVarA) -- (hingeVarB) -- cycle;
+ \fill[black] (#2)circle (\hugeLineWidth/2);
+ }{}
+
+}
+
+%------------------------------------------------
+% load
+%------------------------------------------------
+% \load{type}{insertion point}[rotation][length or included angle][load distance]
+% [rotation][length or included angle][load distance] are optional
+%
+
+\newcommandx{\load}[5][3=0,4=0,5=0]{
+ \ifthenelse{\equal{#1}{1}}{ %
+ \ifthenelse{\equal{#5}{0}}
+ {\renewcommand{\helpVarA}{\forceDistance}}
+ {\renewcommand{\helpVarA}{#5}}
+ \ifthenelse{\equal{#4}{0}}
+ {\renewcommand{\helpVarB}{\forceLength}}
+ {\renewcommand{\helpVarB}{#4}}
+ \draw[force,<-] ($(#2)+1*(#3:\helpVarA)$) --++($(#3:\helpVarB)$);
+ }{}
+
+ \ifthenelse{\equal{#1}{2}}{ %
+ \ifthenelse{\equal{#5}{0}}
+ {\renewcommand{\helpVarA}{\momentDistance}}
+ {\renewcommand{\helpVarA}{#5}}
+ \ifthenelse{\equal{#4}{0}}
+ {\renewcommand{\helpVarB}{\momentAngle}}
+ {\renewcommand{\helpVarB}{#4}}
+ \begin{scope}[rotate around={#3:(#2)}]
+ \draw[<-,normalLine] ($(#2)+1*(\helpVarA,0)$) arc (0:\helpVarB:\helpVarA);
+ \end{scope}
+ }{}
+
+ \ifthenelse{\equal{#1}{3}}{ %
+ \ifthenelse{\equal{#5}{0}}
+ {\renewcommand{\helpVarA}{\momentDistance}}
+ {\renewcommand{\helpVarA}{#5}}
+ \ifthenelse{\equal{#4}{0}}
+ {\renewcommand{\helpVarB}{\momentAngle}}
+ {\renewcommand{\helpVarB}{#4}}
+ \begin{scope}[rotate around={#3:(#2)}]
+ \draw[->,normalLine] ($(#2)+1*(\helpVarA,0)$) arc (0:\helpVarB:\helpVarA);
+ \end{scope}
+ }{}
+
+}
+
+%------------------------------------------------
+% lineload
+%------------------------------------------------
+% \lineload{type}{initial point}{end point}[initial force value][end force value][force interval]
+% [initial force value][end force value][force interval] are optional
+%
+% and accordingly for type 3
+%
+% \lineload{type}{initial point}{end point}[initial force value][end force value][lineload distance from inital point][force interval]
+% [initial force value][end force value][lineload distance from inital point][force interval] are optional
+%
+% and accordingly for type 4
+%
+% \lineload{type}{initial point}{end point}[force interval][force length]
+% [force interval][force length] are optional
+
+\newcommandx{\lineload}[7][4=1,5=1,6=\lineloadInterval,7=\lineloadInterval]{
+ \ifthenelse{\equal{#1}{1}}{ %
+ \coordinate (lineloadVarA1) at ($ (#2)!\lineloadDistance!90:(#3) $);
+ \coordinate (lineloadVarB1) at ($ (#3)!\lineloadDistance!-90:(#2) $);
+ \coordinate (lineloadVarA2) at ($ (#2)!{\lineloadDistance +#4cm}!90:(#3) $);
+ \coordinate (lineloadVarB2) at ($ (#3)!{\lineloadDistance+#5cm}!-90:(#2) $);
+ \ifthenelse{\equal{#4}{0}}{}
+ {
+ \draw [force,->] (lineloadVarA2) -- (lineloadVarA1);
+ }
+ \ifthenelse{\equal{#5}{0}}{}
+ {
+ \draw [force,->] (lineloadVarB2) -- (lineloadVarB1);
+ }
+ \draw [smallLine] (lineloadVarA1) -- (lineloadVarB1) node(xline)[right] {};
+ \draw [normalLine] (lineloadVarA2) -- (lineloadVarB2);
+ \fill (lineloadVarA2) circle (\normalLineWidth/2);
+ \fill (lineloadVarB2) circle (\normalLineWidth/2);
+ \pgfmathsetmacro{\lineloadIntervalBegin}{#6/\scalingParameter}
+ \pgfmathsetmacro{\lineloadIntervalStep}{#6/\scalingParameter*2}
+ \pgfmathsetmacro{\lineloadIntervalEnd}{1-#6/\scalingParameter}
+ \foreach \i in {\lineloadIntervalBegin,\lineloadIntervalStep,...,\lineloadIntervalEnd}
+ \draw [force,->] ($(lineloadVarA2)!\i!(lineloadVarB2)$)-- ($(lineloadVarA1)!\i!(lineloadVarB1)$);
+ }{}
+
+ \ifthenelse{\equal{#1}{2}}{ %
+ \coordinate (lineloadVarA1) at ($ (#2)+1*(0,\lineloadDistance) $);
+ \coordinate (lineloadVarB1) at ($ (#3)+1*(0,\lineloadDistance) $);
+ \coordinate (lineloadVarA2) at ($ (#2)+1*(0,\lineloadDistance+#4cm) $);
+ \coordinate (lineloadVarB2) at ($ (#3)+1*(0,\lineloadDistance+#5cm) $);
+ \ifthenelse{\equal{#4}{0}}{}
+ {
+ \draw [force,->] (lineloadVarA2) -- (lineloadVarA1);
+ }
+ \ifthenelse{\equal{#5}{0}}{}
+ {
+ \draw [force,->] (lineloadVarB2) -- (lineloadVarB1);
+ }
+ \draw [smallLine] (lineloadVarA1) -- (lineloadVarB1) node(xline)[right] {};
+ \draw [normalLine] (lineloadVarA2) -- (lineloadVarB2);
+ \fill (lineloadVarA2) circle (\normalLineWidth/2);
+ \fill (lineloadVarB2) circle (\normalLineWidth/2);
+ \pgfmathsetmacro{\lineloadIntervalBegin}{#6}
+ \pgfmathsetmacro{\lineloadIntervalStep}{#6*2}
+ \pgfmathsetmacro{\lineloadIntervalEnd}{1-#6}
+ \foreach \i in {\lineloadIntervalBegin,\lineloadIntervalStep,...,\lineloadIntervalEnd}
+ \draw [force,->] ($(lineloadVarA2)!\i!(lineloadVarB2)$)-- ($(lineloadVarA1)!\i!(lineloadVarB1)$);
+ }{}
+
+ \ifthenelse{\equal{#1}{3}}{ %
+ \ifthenelse{\equal{#6}{\lineloadInterval}}
+ {\renewcommand{\helpVarA}{0cm}}
+ {\renewcommand{\helpVarA}{#6cm}}
+ \path
+ let
+ \p1 = (#2),
+ \p2 = (#3)
+ in
+ coordinate (lineloadVarA1) at ($(\p1)+1*(0,\lineloadDistance+\helpVarA)$)
+ coordinate (lineloadVarB1) at ($(\x2,\y1)+1*(0,\lineloadDistance+\helpVarA)$)
+ coordinate (lineloadVarA2) at ($ (\p1)+1*(0,\lineloadDistance+\helpVarA+#4cm)$)
+ coordinate (lineloadVarB2) at ($ (\x2,\y1)+1*(0,\lineloadDistance+\helpVarA+#5cm)$);
+ \draw [tinyLine,loosely dotted] (lineloadVarA1)--($(#2)+1*(0,\hingeRadius)$);
+ \draw [tinyLine,loosely dotted] (lineloadVarB1)--($(#3)+1*(0,\hingeRadius)$);
+ \ifthenelse{\equal{#4}{0}}{}
+ {
+ \draw [force,->] (lineloadVarA2) -- (lineloadVarA1);
+ }
+ \ifthenelse{\equal{#5}{0}}{}
+ {
+ \draw [force,->] (lineloadVarB2) -- (lineloadVarB1);
+ }
+ \draw [smallLine] (lineloadVarA1) -- (lineloadVarB1) node(xline)[right] {};
+ \draw [normalLine] (lineloadVarA2) -- (lineloadVarB2);
+ \fill (lineloadVarA2) circle (\normalLineWidth/2);
+ \fill (lineloadVarB2) circle (\normalLineWidth/2);
+ \pgfmathsetmacro{\lineloadIntervalBegin}{#7}
+ \pgfmathsetmacro{\lineloadIntervalStep}{#7*2}
+ \pgfmathsetmacro{\lineloadIntervalEnd}{1-#7}
+ \foreach \i in {\lineloadIntervalBegin,\lineloadIntervalStep,...,\lineloadIntervalEnd}
+ \draw [force,->] ($(lineloadVarA2)!\i!(lineloadVarB2)$)-- ($(lineloadVarA1)!\i!(lineloadVarB1)$);
+ }{}
+
+ \ifthenelse{\equal{#1}{4}}{ %
+ \coordinate (lineloadVarA1) at ($ (#2)+1*(0,\lineloadDistance) $);
+ \coordinate (lineloadVarB1) at ($ (#3)+1*(0,\lineloadDistance) $);
+ \ifthenelse{\equal{#4}{1}}
+ {\pgfmathsetmacro{\lineloadIntervalStep}{\lineloadInterval}
+ \pgfmathsetmacro{\lineloadIntervalEnd}{1-\lineloadInterval/2}}
+ {\pgfmathsetmacro{\lineloadIntervalStep}{#4}
+ \pgfmathsetmacro{\lineloadIntervalEnd}{1-#4/2}}
+ \ifthenelse{\equal{#5}{1}}
+ {\pgfmathsetmacro{\lineloadForceLength}{\lineloadForce}}
+ {\pgfmathsetmacro{\lineloadForceLength}{#5}}
+ \foreach \i in {0,\lineloadIntervalStep,...,\lineloadIntervalEnd}
+ \draw [force,->] ($(lineloadVarA1)!\i!(lineloadVarB1)$) -- ($(lineloadVarA1)!\i+\lineloadForceLength!(lineloadVarB1)$);
+ }{}
+
+}
+
+%------------------------------------------------
+% dimensioning
+%------------------------------------------------
+% \dimensioning{type}{initial point}{end point}{distance from point of origin}[measure]
+%
+
+\newcommandx{\dimensioning}[5][5]{
+ \ifthenelse{\equal{#1}{1}}{ %
+ \path
+ let
+ \p1 = (#2),
+ \p2 = (#3)
+ in
+ coordinate (dimensioningVarA) at (\x1,#4)
+ coordinate (dimensioningVarB) at (\x2,#4);
+ \draw [smallLine] (dimensioningVarA)--++(0,\dimensioningBar/2)--++(0,-\dimensioningBar)
+ (dimensioningVarA)--++(\dimensioningBar/4,\dimensioningBar/4)--++(-\dimensioningBar/2,-\dimensioningBar/2)
+ (dimensioningVarB)--++(0,\dimensioningBar/2)--++(0,-\dimensioningBar)
+ (dimensioningVarB)--++(\dimensioningBar/4,\dimensioningBar/4)--++(-\dimensioningBar/2,-\dimensioningBar/2)
+ (dimensioningVarA)--(dimensioningVarB) node [sloped,midway,above] {#5};
+ }{}
+
+ \ifthenelse{\equal{#1}{2}}{ %
+ \path
+ let
+ \p1 = (#2),
+ \p2 = (#3)
+ in
+ coordinate (dimensioningVarA) at (#4,\y1)
+ coordinate (dimensioningVarB) at (#4,\y2);
+ \draw [smallLine] (dimensioningVarA)--++(\dimensioningBar/2,0)--++(-\dimensioningBar,0)
+ (dimensioningVarA)--++(\dimensioningBar/4,\dimensioningBar/4)--++(-\dimensioningBar/2,-\dimensioningBar/2)
+ (dimensioningVarB)--++(\dimensioningBar/2,0)--++(-\dimensioningBar,0)
+ (dimensioningVarB)--++(\dimensioningBar/4,\dimensioningBar/4)--++(-\dimensioningBar/2,-\dimensioningBar/2)
+ (dimensioningVarA)--(dimensioningVarB) node [sloped,midway,above] {#5};
+ }{}
+
+ \ifthenelse{\equal{#1}{3}}{ %
+ \coordinate (dimensioningVarA) at ($ (#2)!{#4cm}!90:(#3) $);
+ \coordinate (dimensioningVarB) at ($ (#3)!{#4cm}!-90:(#2) $);
+ \draw [smallLine] ($ (dimensioningVarA)!{-\dimensioningBar/3}!90:(dimensioningVarB) $) -- ($ (dimensioningVarA)!{\dimensioningBar/3}!90:(dimensioningVarB) $);
+ \draw [smallLine,<-] (dimensioningVarB) -- (dimensioningVarA)node [sloped,midway,above] {#5};
+ }{}
+}
+
+%------------------------------------------------
+% influenceline
+%------------------------------------------------
+% \influenceline{initial point}{end point}{distance from initial point}[arrow distance]
+%
+
+\newcommandx{\influenceline}[5][4=.5]{%
+ \path
+ let
+ \p1 = (#1),
+ \p2 = (#2)
+ in
+ coordinate (influencelineVarA) at ($(\p1)+1*(0,\lineloadDistance+#3cm)$)
+ coordinate (influencelineVarB) at ($(\x2,\y1)+1*(0,\lineloadDistance+#3cm)$);
+ \draw [smallLine] (influencelineVarA)--++(0,\dimensioningBar/2)--++(0,-\dimensioningBar)
+ (influencelineVarB)--++(0,\dimensioningBar/2)--++(0,-\dimensioningBar);
+ \draw [smallLine,<->] (influencelineVarA)--(influencelineVarB);
+ \draw [smallLine] ($(influencelineVarA)!#4!(influencelineVarB)$)--++(\hingeRadius,0) arc (0:360:\hingeRadius);
+ \draw [force,->] ($(influencelineVarA)!#4!(influencelineVarB)+1*(0,\forceLength/2)$)
+ --($(influencelineVarA)!#4!(influencelineVarB)+1*(0,-\forceLength/2)$);
+}
+
+%------------------------------------------------
+% internalforces
+%------------------------------------------------
+% \internalforces{initial point}{end point}{initial value}{end value}[parabola height][color][bend position]
+% [parabola height][color][bend position] are optional
+%
+
+
+\newcommandx{\internalforces}[7][5=0,6=red,7=.6667]{%
+ \coordinate (internalforcesVarA) at ($ (#1)!#3cm!-90:(#2) $);
+ \coordinate (internalforcesVarB) at ($ (#2)!#4cm!90:(#1)$);
+ \coordinate (internalforcesVarAB) at ($ (internalforcesVarA)!.5!(internalforcesVarB)$);
+ \coordinate (internalforcesVarC) at ($ (internalforcesVarAB)+2*(0,#5)$);
+ \coordinate (internalforcesVarAC) at ($ (internalforcesVarA)!#7!(internalforcesVarC)$);
+ \coordinate (internalforcesVarBC) at ($ (internalforcesVarB)!#7!(internalforcesVarC)$);
+ \ifthenelse{\equal{#5}{0}}{
+ \draw [bigLine,color=#6] (#1) -- (internalforcesVarA) (internalforcesVarA) -- (internalforcesVarB) (internalforcesVarB) -- (#2);
+ \fill [color=#6] (internalforcesVarA) circle (\bigLineWidth/2);
+ \fill [color=#6] (internalforcesVarB) circle (\bigLineWidth/2);
+ \fill [color=#6] (#1) circle (\bigLineWidth/2);
+ \fill [color=#6] (#2) circle (\bigLineWidth/2);
+ }
+ {
+ %\draw [bigLine,color=#6](internalforcesVarA) parabola[parabola height=#5cm] (internalforcesVarB);
+ %\draw [bigLine,color=#6](internalforcesVarA)--(internalforcesVarAC)--(internalforcesVarBC)--(internalforcesVarB);
+ %\draw [bigLine,color=blue](internalforcesVarA)--(internalforcesVarB)
+ %(internalforcesVarAB) -- (internalforcesVarC);
+ \draw [bigLine,color=#6] (#1) -- (internalforcesVarA) (internalforcesVarA) .. controls (internalforcesVarAC) and (internalforcesVarBC) .. (internalforcesVarB) (internalforcesVarB) -- (#2);
+ \fill [color=#6] (internalforcesVarA) circle (\bigLineWidth/2);
+ \fill [color=#6] (internalforcesVarB) circle (\bigLineWidth/2);
+ \fill [color=#6] (#1) circle (\bigLineWidth/2);
+ \fill [color=#6] (#2) circle (\bigLineWidth/2);
+ }
+
+}
+
+%------------------------------------------------
+% temperature
+%------------------------------------------------
+% \temperature{initial point}{end point}{temperature below}{temperature above}[temperature position][temperature value below][temperature value above][text orientation below][text orientation above]
+% [temperature position][temperature value above][temperature value below][text orientation below][text orientation above] are optional
+%
+
+\newcommandx{\temperature}[9][5=.5,6,7,8=below,9=above]{
+ \coordinate (temperatureVarA1) at ($ (#1)!#5!(#2) $);
+ \coordinate (temperatureVarB1) at ($ (temperatureVarA1)!\temperatureHeight/2!90:(#2) $);
+ \coordinate (temperatureVarB2) at ($ (temperatureVarA1)!-\temperatureHeight/2!90:(#2) $);
+ \coordinate (temperatureVarC1) at ($ (temperatureVarB2)!-#3!90:(temperatureVarB1) $);
+ \coordinate (temperatureVarC2) at ($ (temperatureVarB1)!#4!90:(temperatureVarB2) $);
+
+ \filldraw[fill=\colorGray!20!white,smallLine] (temperatureVarB1) -- (temperatureVarC2) -- (temperatureVarC1) -- (temperatureVarB2) -- cycle;
+
+ \draw (temperatureVarC1) node [#8]{#6};
+ \draw (temperatureVarC2) node [#9]{#7};
+}
+
+%------------------------------------------------
+% addon
+%------------------------------------------------
+% \addon{type}{insertion point}{}{}[]
+% [] are optional
+%
+
+\newcommandx{\addon}[5][5=1]{
+ \ifthenelse{\equal{#1}{1}}{ % \addon{type}{insertion point}{end point}{position}
+ \coordinate (addonVarA1) at ($ (#2)!#4!(#3) $);
+ \coordinate (addonVarB1) at ($ (addonVarA1)!\dimensioningBar/2!45:(#3) $);
+ \coordinate (addonVarB2) at ($ (addonVarA1)!\dimensioningBar/2!225:(#3) $);
+ \draw[smallLine] (addonVarB1)--(addonVarB2)
+ ($(addonVarB1)+1*(\supportGap,0)$)--($(addonVarB2)+1*(\supportGap,0)$);
+ }{}
+
+ \ifthenelse{\equal{#1}{2}}{ % \addon{type}{insertion point}{initial point}{end point}[position-1/+1]
+ \coordinate (addonVarA1) at ($ (#2)!\dimensioningBar!(#3) $);
+ \coordinate (addonVarB1) at ($ (#2)!\dimensioningBar!(#4) $);
+ \ifthenelse{\equal{#5}{1}}
+ {
+ \coordinate (addonVarC1) at ($ (addonVarA1)!\dimensioningBar!90:(#3) $);
+ \coordinate (addonVarD1) at ($ (#2)!1.414*\dimensioningBar/2!45:(#3) $);
+ }
+ {
+ \coordinate (addonVarC1) at ($ (addonVarA1)!\dimensioningBar!-90:(#3) $);
+ \coordinate (addonVarD1) at ($ (#2)!1.414*\dimensioningBar/2!-45:(#3) $);
+ }
+ \draw[smallLine] (addonVarA1)--(addonVarC1)-- (addonVarB1);
+ \filldraw (addonVarD1) circle (\smallLineWidth);
+ }{}
+
+ \ifthenelse{\equal{#1}{3}}{ % \addon{type}{insertion point}{initial point}{end point}[position-1/+1]
+ \begin{scope}[even odd rule]
+ \ifthenelse{\equal{#5}{1}}{
+ \clip (#2) circle (\dimensioningBar+\normalLineWidth)
+ (#2)--(#3)--($(#3)!\dimensioningBar+\normalLineWidth!-90:(#2)$)--($(#4)!\dimensioningBar+\normalLineWidth!90:(#2)$)--(#4)-- cycle;
+ }{
+ \clip (#2)--(#3)--($(#3)!\dimensioningBar+\normalLineWidth!-90:(#2)$)--($(#4)!\dimensioningBar+\normalLineWidth!90:(#2)$)--(#4)-- cycle;
+ }
+ \draw [smallLine] (#2) circle (\dimensioningBar)
+ (#2) circle (\dimensioningBar-\normalLineWidth-\normalLineWidth);
+ \end{scope}
+ }{}
+
+}
+
+%------------------------------------------------
+% notation
+%------------------------------------------------
+% \notation{type}{insertion point}{}[][][]
+% [] are optional
+%
+
+\newcommandx{\notation}[7][4=above right,5=.5,6=above,7=sloped]{
+ \ifthenelse{\equal{#1}{1}}{ % \notation{1}{insertion point}{labelling}[orientation];
+ \begin{scope}
+ \draw (#2) node [#4]{#3};
+ \end{scope}
+ }{}
+
+ \ifthenelse{\equal{#1}{2}}{ % \notation{2}{insertion point}{labelling}[orientation];
+ \begin{scope}
+ \draw (#2) node [#4]{#3};
+ \draw[bigLine] (#2)--++(0,\dimensioningBar/2)--++(0,-\dimensioningBar);
+ \end{scope}
+ }{}
+
+ \ifthenelse{\equal{#1}{3}}{ %
+ \coordinate (notationVarA1) at ($ (#2)!#5!(#3) $);
+ \coordinate (notationVarB1) at ($ (notationVarA1)!\dimensioningBar/2!90:(#3) $);
+ \coordinate (notationVarB2) at ($ (notationVarA1)!\dimensioningBar/2!-90:(#3) $);
+ \draw[bigLine] (notationVarB1)--(notationVarB2);
+ \draw (notationVarA1) node [#6]{#4};
+ }{}
+
+ \ifthenelse{\equal{#1}{4}}{ %
+ \ifthenelse{\equal{#7}{1}}
+ {\renewcommand{\helpVarB}{}}
+ {\renewcommand{\helpVarB}{sloped}}
+ \begin{scope}
+ \path (#2) -- (#3) node[inner sep=0mm,rectangle,smallLine,fill=white,draw,minimum size=2.5*\hingeRadius,midway,#6,\helpVarB,pos=#5] {#4};
+ \end{scope}
+ }{}
+
+ \ifthenelse{\equal{#1}{5}}{ %
+ \ifthenelse{\equal{#7}{1}}
+ {\renewcommand{\helpVarB}{}}
+ {\renewcommand{\helpVarB}{sloped}}
+ \begin{scope}
+ \path (#2) -- (#3) node[midway,#6,\helpVarB,pos=#5] {#4};
+ \end{scope}
+ }{}
+
+ \ifthenelse{\equal{#1}{6}}{ %
+ \begin{scope}
+ \draw (#2) node [inner sep=0mm,circle,smallLine,fill=white,draw,minimum size=2.5*\hingeRadius]{#3};
+ \end{scope}
+ }{}
+
+}
+
+
+
+
+
+
+
+
+
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% 3D Structural Analysis Library base on TikZ
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%
+%================================================
+% some variables
+%================================================
+%
+
+%------------------------------------------------
+% line widths
+%------------------------------------------------
+
+\newcommand{\DhugeLineWidth}{2pt}
+\newcommand{\DbigLineWidth}{1.5pt}
+\newcommand{\DnormalLineWidth}{1pt}
+\newcommand{\DsmallLineWidth}{.7pt}
+\newcommand{\DtinyLineWidth}{.3pt}
+
+%------------------------------------------------
+% coords parameters
+%------------------------------------------------
+
+\newcommand{\DxAngle}{-12}
+\newcommand{\DxLength}{1}
+\newcommand{\DyAngle}{37}
+\newcommand{\DyLength}{1}
+\newcommand{\DzAngle}{90}
+\newcommand{\DzLength}{1}
+
+%------------------------------------------------
+% axis parameters
+%------------------------------------------------
+
+\newcommand{\DxVarA}{$x$}
+\newcommand{\DyVarA}{$y$}
+\newcommand{\DzVarA}{$z$}
+
+\newcommand{\DxVarB}{$x^\prime$}
+\newcommand{\DyVarB}{$y^\prime$}
+\newcommand{\DzVarB}{$z^\prime$}
+
+\newcommand{\DxNodePos}{below}
+\newcommand{\DyNodePos}{left}
+\newcommand{\DzNodePos}{above}
+
+%------------------------------------------------
+% construction parameters
+%------------------------------------------------
+
+\newcommand{\DscalingParameter}{1}
+\newcommand{\DshowPointParameter}{0}
+
+\newcommand{\DhingeBigRadius}{1.5mm}
+\newcommand{\DhingeRadius}{1mm}
+\newcommand{\DhingeAxialLength}{.5}
+\newcommand{\DhingeAxialHeight}{.4}
+\newcommand{\DhingeCornerLength}{3mm}
+
+\newcommand{\DspringLength}{10mm}
+\newcommand{\DspringPreLength}{7pt}
+\newcommand{\DspringPostLength}{5pt}
+\newcommand{\DspringAmplitude}{1.5mm}
+\newcommand{\DspringSegmentLength}{3pt}
+
+\newcommand{\DsupportGap}{1mm}
+\newcommand{\DsupportLength}{1}
+
+\newcommand{\DaxisLength}{1.5}
+\newcommand{\DlocalaxisLength}{.5}
+\newcommand{\DaxisDistance}{.2}
+
+%------------------------------------------------
+% load parameters
+%------------------------------------------------
+
+\newcommand{\DforceDistance}{.15}
+\newcommand{\DforceLength}{1.0}
+\newcommand{\DlineloadDistance}{.3}
+\newcommand{\DlineloadForce}{0.15}
+\newcommand{\DlineloadInterval}{0.2}
+\newcommand{\DlineloadDistanceMM}{3mm}
+
+%------------------------------------------------
+% dimensioning parameters
+%------------------------------------------------
+
+\newcommand{\DdimensioningBar}{4mm}
+\newcommand{\DnoteRadius}{1.5mm}
+
+%------------------------------------------------
+% addon parameters
+%------------------------------------------------
+
+\newcommand{\DaddonLength}{4mm}
+
+%------------------------------------------------
+% help values
+%------------------------------------------------
+
+\newcommand{\DhelpVarA}{1}
+\newcommand{\DhelpVarB}{1}
+\newcommand{\DhelpVarC}{1}
+
+%
+%================================================
+% new tikz styles
+%================================================
+%
+
+%------------------------------------------------
+% line styles
+%------------------------------------------------
+
+\tikzstyle{hugeLine}=[line width=\DhugeLineWidth,]
+\tikzstyle{bigLine}=[line width=\DbigLineWidth,]
+\tikzstyle{normalLine}=[line width=\DnormalLineWidth,]
+\tikzstyle{smallLine}=[line width=\DsmallLineWidth,]
+\tikzstyle{tinyLine}=[line width=\DtinyLineWidth,]
+
+%------------------------------------------------
+% coords styles
+%------------------------------------------------
+
+\tikzset{coords/.style={x={(\DxAngle:\DxLength cm)}, y={(\DyAngle:\DyLength cm)}, z={(\DzAngle:\DzLength cm)}}}
+
+%------------------------------------------------
+% axis styles
+%------------------------------------------------
+
+\tikzstyle{axisarrow}=[>=open triangle 45 ,normalLine]
+
+%------------------------------------------------
+% dspring style
+%------------------------------------------------
+
+\tikzstyle{Dspring} = [
+ normalLine,
+ decoration=
+ {
+ zigzag,
+ pre length=\DspringPreLength,
+ post length=\DspringPostLength,
+ segment length=\DspringSegmentLength,
+ amplitude=\DspringAmplitude
+ },
+ decorate,
+]
+
+%------------------------------------------------
+% force style
+%------------------------------------------------
+
+\tikzstyle{force}=[>=latex,normalLine]
+
+%
+%================================================
+% library elements
+%================================================
+%
+
+%------------------------------------------------
+% setcoords
+%------------------------------------------------
+% \setcoords{x-angle}{y-angle}[x-direction][y-direction][z-direction][z-angle];
+%
+
+\newcommandx{\setcoords}[6][3=1,4=1,5=1,6=90]{
+ \renewcommand{\DxAngle}{#1}
+ \renewcommand{\DxLength}{#3}
+ \renewcommand{\DyAngle}{#2}
+ \renewcommand{\DyLength}{#4}
+ \renewcommand{\DzAngle}{#6}
+ \renewcommand{\DzLength}{#5}
+}
+
+%------------------------------------------------
+% setaxis
+%------------------------------------------------
+% \setaxis{type}[][][][][][];
+%
+% Type 1
+% \setaxis{1};
+% set global axis to xyz and local axis to x'y'z'
+% Type 2
+% \setaxis{2};
+% set global axis to XYZ and local axis to xyz
+% Type 3
+% \setaxis{3}[X-labelling][Y-labelling][Z-labelling][x-labelling][y-labelling][z-labelling];
+% set global axis to [][][] and local axis to [][][]
+% Type 4
+% \setaxis{4}[x-orientation][y-orientation][z-orientation];
+% Change the xyz-orientation from \daxis{4}
+
+\newcommandx{\setaxis}[7][2,3,4,5,6,7]{
+ \ifthenelse{\equal{#1}{1}}{
+ \renewcommand{\DxVarA}{$x$}
+ \renewcommand{\DyVarA}{$y$}
+ \renewcommand{\DzVarA}{$z$}
+ \renewcommand{\DxVarB}{$x^\prime$}
+ \renewcommand{\DyVarB}{$y^\prime$}
+ \renewcommand{\DzVarB}{$z^\prime$}
+ }{}
+
+ \ifthenelse{\equal{#1}{2}}{
+ \renewcommand{\DxVarA}{$X$}
+ \renewcommand{\DyVarA}{$Y$}
+ \renewcommand{\DzVarA}{$Z$}
+ \renewcommand{\DxVarB}{$x$}
+ \renewcommand{\DyVarB}{$y$}
+ \renewcommand{\DzVarB}{$z$}
+ }{}
+
+ \ifthenelse{\equal{#1}{3}}{
+ \renewcommand{\DxVarA}{#2}
+ \renewcommand{\DyVarA}{#3}
+ \renewcommand{\DzVarA}{#4}
+ \renewcommand{\DxVarB}{#5}
+ \renewcommand{\DyVarB}{#6}
+ \renewcommand{\DzVarB}{#7}
+ }{}
+
+ \ifthenelse{\equal{#1}{4}}{
+ \renewcommand{\DxNodePos}{#2}
+ \renewcommand{\DyNodePos}{#3}
+ \renewcommand{\DzNodePos}{#4}
+ }{}
+}
+
+%------------------------------------------------
+% showpoint
+%------------------------------------------------
+% \showpoint
+%
+
+\newcommandx{\showpoint}{
+ \renewcommand{\DshowPointParameter}{1}
+}
+
+%------------------------------------------------
+% dscaling
+%------------------------------------------------
+% \dscaling{type}{scaling value};
+%
+% Type 1
+% \dscaling{1}{scaling value};
+% scaling the distance between two points
+% Type 2
+% \dscaling{2}{scaling value};
+% scaling supports and hinges
+% Type 3
+% \dscaling{3}{scaling value};
+% scaling axis
+% Type 4
+% \dscaling{4}{scaling value};
+% scaling loads and lineloads
+% Type 5
+% \dscaling{5}{scaling value};
+% scaling the dimensionings
+% Type 6
+% \dscaling{6}{scaling value};
+% scaling the addons
+
+\newcommandx{\dscaling}[2]{
+ \ifthenelse{\equal{#1}{1}}{
+ \renewcommand{\DscalingParameter}{#2}
+ }{}
+
+ \ifthenelse{\equal{#1}{2}}{
+ \pgfmathsetmacro{\DhingeBigRadiusPTtoMM}{\DhingeBigRadius/2.83527}
+ \pgfmathsetmacro{\DhingeRadiusPTtoMM}{\DhingeRadius/2.83527}
+ \pgfmathsetmacro{\DhingeAxialLengthPT}{\DhingeAxialLength}
+ \pgfmathsetmacro{\DhingeAxialHeightPT}{\DhingeAxialHeight}
+ \pgfmathsetmacro{\DhingeCornerLengthPTtoMM}{\DhingeCornerLength/2.83527}
+ %
+ \renewcommand{\DhingeBigRadius}{\DhingeBigRadiusPTtoMM*#2mm}
+ \renewcommand{\DhingeRadius}{\DhingeRadiusPTtoMM*#2mm}
+ \renewcommand{\DhingeAxialLength}{\DhingeAxialLengthPT*#2}
+ \renewcommand{\DhingeAxialHeight}{\DhingeAxialHeightPT*#2}
+ \renewcommand{\DhingeCornerLength}{\DhingeCornerLengthPTtoMM*#2mm}
+ %
+ \pgfmathsetmacro{\DspringLengthPTtoMM}{\DspringLength/2.83527}
+ \pgfmathsetmacro{\DspringPreLengthPT}{\DspringPreLength}
+ \pgfmathsetmacro{\DspringPostLengthPT}{\DspringPostLength}
+ \pgfmathsetmacro{\DspringAmplitudePTtoMM}{\DspringAmplitude/2.83527}
+ \pgfmathsetmacro{\DspringSegmentLengthPT}{\DspringSegmentLength}
+ %
+ \renewcommand{\DspringLength}{\DspringLengthPTtoMM*#2mm}
+ \renewcommand{\DspringPreLength}{\DspringPreLengthPT*#2}
+ \renewcommand{\DspringPostLength}{\DspringPostLengthPT*#2}
+ \renewcommand{\DspringAmplitude}{\DspringAmplitudePTtoMM*#2mm}
+ \renewcommand{\DspringSegmentLength}{\DspringSegmentLengthPT*#2}
+ %
+ \pgfmathsetmacro{\DsupportGapPTtoMM}{\DsupportGap/2.83527}
+ \pgfmathsetmacro{\DsupportLengthPT}{\DsupportLength}
+ %
+ \renewcommand{\DsupportGap}{\DsupportGapPTtoMM*#2mm}
+ \renewcommand{\DsupportLength}{\DsupportLengthPT*#2}
+ }{}
+
+ \ifthenelse{\equal{#1}{3}}{
+ \pgfmathsetmacro{\DaxisLengthPT}{\DaxisLength}
+ \pgfmathsetmacro{\DlocalaxisLengthPT}{\DlocalaxisLength}
+ \pgfmathsetmacro{\DaxisDistancePT}{\DaxisDistance}
+ %
+ \renewcommand{\DaxisLength}{\DaxisLengthPT*#2}
+ \renewcommand{\DlocalaxisLength}{\DlocalaxisLengthPT*#2}
+ \renewcommand{\DaxisDistance}{\DaxisDistancePT*#2}
+ }{}
+
+ \ifthenelse{\equal{#1}{4}}{
+ \pgfmathsetmacro{\DforceDistancePT}{\DforceDistance}
+ \pgfmathsetmacro{\DforceLengthPT}{\DforceLength}
+ \pgfmathsetmacro{\DlineloadDistancePT}{\DlineloadDistance}
+ \pgfmathsetmacro{\DlineloadForcePT}{\DlineloadForce}
+ \pgfmathsetmacro{\DlineloadIntervalPT}{\DlineloadInterval}
+ \pgfmathsetmacro{\DlineloadDistanceMMPTtoMM}{\DlineloadDistanceMM/2.83527}
+ %
+ \renewcommand{\DforceDistance}{\DforceDistancePT*#2}
+ \renewcommand{\DforceLength}{\DforceLengthPT*#2}
+ \renewcommand{\DlineloadDistance}{\DlineloadDistancePT*#2}
+ \renewcommand{\DlineloadForce}{\DlineloadForcePT*#2}
+ \renewcommand{\DlineloadInterval}{\DlineloadIntervalPT*#2}
+ \renewcommand{\DlineloadDistanceMM}{\DlineloadDistanceMMPTtoMM*#2mm}
+ }{}
+
+ \ifthenelse{\equal{#1}{5}}{
+ \pgfmathsetmacro{\DdimensioningBarPTtoMM}{\DdimensioningBar/2.83527}
+ %
+ \renewcommand{\DdimensioningBar}{\DdimensioningBarPTtoMM*#2mm}
+ }{}
+
+ \ifthenelse{\equal{#1}{6}}{
+ \pgfmathsetmacro{\DaddonLengthPTtoMM}{\DaddonLength/2.83527}
+ %
+ \renewcommand{\DaddonLength}{\DaddonLengthPTtoMM*#2mm}
+ }{}
+}
+
+%------------------------------------------------
+% 3dpoint
+%------------------------------------------------
+% \point{name}{x-coordiante}{y-coordiante}{z-coordiante};
+%
+
+\newcommandx{\dpoint}[4]{
+ \node[coordinate][
+ shift={(#2*\DscalingParameter,#3*\DscalingParameter,#4*\DscalingParameter)}](#1){};
+ \ifthenelse{\equal{\DshowPointParameter}{1}}{
+ \draw (#2*\DscalingParameter,#3*\DscalingParameter,#4*\DscalingParameter) node [above,red]{#1};
+ }{}
+}
+
+%------------------------------------------------
+% 3daxis
+%------------------------------------------------
+% \daxis{type}{}[][][][][][][];
+%
+% Type 1: Global Axis
+% \daxis{1}{insertion point}[X-orientation][Y-orientation][Z-orientation];
+%
+% Type 2: Local Axis in plane
+% \daxis{2}{plane}[insertion point][end point][position][x-orientation][y-orientation][z-orientation][change y with z];
+% plane e.g. xy, yx, xz, zx, yz or zy
+% Type 3: Local Axis in space
+% \daxis{3}{rotation A}[insertion point][end point][position][rotation 1][rotation 2][rotation 3][rotation B];
+% rotation A and B to positioning the local axis around the beam (spherical coordinates)
+% rotation 1 about the world z axis,
+% rotation 2 about the (unrotated) world y axis, and
+% rotation 3 about the (unrotated) world z axis.
+% to change the xyz-orientation use \setaxis{4}[x-orientation][y-orientation][z-orientation];
+
+\newcommandx{\daxis}[9][3,4,5=.5,6=right,7=below,8=left,9=0]{
+ \ifthenelse{\equal{#1}{1}}{ %
+ \ifthenelse{\equal{#3}{}}
+ {\renewcommand{\DhelpVarA}{below}}
+ {\renewcommand{\DhelpVarA}{#3}}
+ \ifthenelse{\equal{#4}{}}
+ {\renewcommand{\DhelpVarB}{above}}
+ {\renewcommand{\DhelpVarB}{#4}}
+ \ifthenelse{\equal{#5}{.5}}
+ {\renewcommand{\DhelpVarC}{above}}
+ {\renewcommand{\DhelpVarC}{#5}}
+ \draw[axisarrow,->] (#2) --++ (\DaxisLength,0,0)node[\DhelpVarA] {\DxVarA};
+ \draw[axisarrow,->] (#2) --++ (0,\DaxisLength,0)node[\DhelpVarB] {\DyVarA};
+ \draw[axisarrow,->] (#2) --++ (0,0,\DaxisLength)node[\DhelpVarC] {\DzVarA};
+ }{}
+
+ \ifthenelse{\equal{#1}{2}}{ %
+ \ifthenelse{\equal{#2}{xy}}
+ {\renewcommand{\DhelpVarA}{z}}{}
+ \ifthenelse{\equal{#2}{yx}}
+ {\renewcommand{\DhelpVarA}{z}}{}
+ \ifthenelse{\equal{#2}{xz}}
+ {\renewcommand{\DhelpVarA}{y}}{}
+ \ifthenelse{\equal{#2}{zx}}
+ {\renewcommand{\DhelpVarA}{y}}{}
+ \ifthenelse{\equal{#2}{yz}}
+ {\renewcommand{\DhelpVarA}{x}}{}
+ \ifthenelse{\equal{#2}{zy}}
+ {\renewcommand{\DhelpVarA}{x}}{}
+
+ \ifthenelse{\equal{#2}{xy}}{
+ \begin{scope}[canvas is yx plane at \DhelpVarA=0]}
+ {\begin{scope}[canvas is #2 plane at \DhelpVarA=0]}
+
+ \pgfmathsetmacro{\DaxisDistanceLO}{\DaxisDistance/0.283527}
+
+ \ifthenelse{\equal{#2}{xy}}
+ {\renewcommand{\DhelpVarA}{\DaxisDistanceLO*-3mm}}
+ {\renewcommand{\DhelpVarA}{\DaxisDistanceLO*3mm}}
+
+ \pgfmathsetmacro{\DlocalaxisLengthLO}{\DlocalaxisLength/0.283527}
+ \renewcommand{\DhelpVarB}{\DlocalaxisLengthLO*3mm}
+
+ \coordinate (axisVarA1) at ($ (#3)!#5!(#4) $);
+ \coordinate (axisVarB1) at ($ (axisVarA1)!{\DhelpVarB}!(#4) $);
+ \coordinate (axisVarA2) at ($ (axisVarA1)!\DhelpVarA!90:(#4) $);
+ \coordinate (axisVarB2) at ($ (axisVarB1)!\DhelpVarA!90:(#4) $);
+ \coordinate (axisVarC2) at ($ (axisVarA2)!1!90:(axisVarB2) $);
+
+ \ifthenelse{\equal{#9}{0}}
+ {\renewcommand{\DhelpVarB}{\DyVarB}}
+ {\renewcommand{\DhelpVarB}{\DzVarB}}
+
+ \draw[thin,->] (axisVarA2) -- (axisVarB2)node[#6] {\DxVarB};
+ \draw[thin,->] (axisVarA2) -- (axisVarC2)node[#7] {\DhelpVarB};
+ \end{scope}
+
+ \ifthenelse{\equal{#9}{0}}
+ {\renewcommand{\DhelpVarB}{\DzVarB}}
+ {\renewcommand{\DhelpVarB}{\DyVarB}}
+
+ \ifthenelse{\equal{#2}{xy}}
+ {\draw[thin,->] (axisVarA2) --++ (0,0,-\DlocalaxisLength)node[#8] {\DhelpVarB};}{}
+ \ifthenelse{\equal{#2}{yx}}
+ {\draw[thin,->] (axisVarA2) --++ (0,0,-\DlocalaxisLength)node[#8] {\DhelpVarB};}{}
+ \ifthenelse{\equal{#2}{xz}}
+ {\draw[thin,->] (axisVarA2) --++ (0,-\DlocalaxisLength,0)node[#8] {\DhelpVarB};}{}
+ \ifthenelse{\equal{#2}{zx}}
+ {\draw[thin,->] (axisVarA2) --++ (0,\DlocalaxisLength,0)node[#8] {\DhelpVarB};}{}
+ \ifthenelse{\equal{#2}{yz}}
+ {\draw[thin,->] (axisVarA2) --++ (\DlocalaxisLength,0,0)node[#8] {\DhelpVarB};}{}
+ \ifthenelse{\equal{#2}{zy}}
+ {\draw[thin,->] (axisVarA2) --++ (-\DlocalaxisLength,0,0)node[#8] {\DhelpVarB};}{}
+ }{}
+
+ \ifthenelse{\equal{#1}{3}}{
+ \ifthenelse{\equal{#6}{right}}
+ {\renewcommand{\DhelpVarA}{0}}
+ {\renewcommand{\DhelpVarA}{#6}}
+
+ \ifthenelse{\equal{#7}{below}}
+ {\renewcommand{\DhelpVarB}{0}}
+ {\renewcommand{\DhelpVarB}{#7}}
+
+ \ifthenelse{\equal{#8}{left}}
+ {\renewcommand{\DhelpVarC}{0}}
+ {\renewcommand{\DhelpVarC}{#8}}
+
+ \coordinate (axisVarA1) at ($ (#3)!#5!(#4) $);
+ \coordinate (axisVarA2) at ($(axisVarA1)+1*({\DaxisDistance*cos(#9)*sin(#2)},{\DaxisDistance*sin(#9)*sin(#2)},{\DaxisDistance*cos(#2)})$);
+
+ \tdplotsetrotatedcoords{\DhelpVarA}{\DhelpVarB}{\DhelpVarC};
+
+ \tdplotsetrotatedcoordsorigin{(axisVarA2)}
+ \draw[thin,tdplot_rotated_coords,->] (0,0,0) -- (.5,0,0) node[\DxNodePos]{\DxVarB};
+ \draw[thin,tdplot_rotated_coords,->] (0,0,0) -- (0,.5,0) node[\DyNodePos]{\DyVarB};
+ \draw[thin,tdplot_rotated_coords,->] (0,0,0) -- (0,0,.5) node[\DzNodePos]{\DzVarB};
+ }{}
+}
+
+%------------------------------------------------
+% 3dbeam
+%------------------------------------------------
+% \dbeam{type}{initial point}{end point}[rounded initial point][rounded end point];
+% with rounded initial point or/and rounded end point: 1 or nothing = true, 0=false,
+
+\newcommandx{\dbeam}[5][4=1,5=1]{
+ \ifthenelse{\equal{#1}{1}}{ %
+ \draw [hugeLine] (#2) -- (#3);
+ \ifthenelse{\equal{#4}{0}}{}
+ {\fill (#2) circle (\DhugeLineWidth/2);}
+ \ifthenelse{\equal{#5}{0}}{}
+ {\fill (#3) circle (\DhugeLineWidth/2);}
+ }{}
+
+ \ifthenelse{\equal{#1}{2}}{ %
+ \draw [bigLine] (#2) -- (#3);
+ \ifthenelse{\equal{#4}{0}}{}
+ {\fill (#2) circle (\DbigLineWidth/2);}
+ \ifthenelse{\equal{#5}{0}}{}
+ {\fill (#3) circle (\DbigLineWidth/2);}
+ }{}
+
+ \ifthenelse{\equal{#1}{3}}{ %
+ \draw [normalLine,dashed] (#2) -- (#3);
+ }{}
+}
+
+%------------------------------------------------
+% 3dsupport
+%------------------------------------------------
+% \dsupport{type}{insertion point}[][][][];
+%
+% Type 1
+% \dsupport{1}{insertion point}[x-direction][y-direction][z-direction];
+% with xyz-direction: 1=true, 0=false, -1=other direction
+% Type 2
+% \dsupport{2}{insertion point}[plane][normal-direction];
+%
+% Type 3
+% \dsupport{3}{insertion point}[x-direction][y-direction][z-direction];
+% in combination with \dhinge{3}
+% with xyz-direction: 1=true, 0=false, -1=other direction
+% Type 4
+% \dsupport{4}{insertion point}[x-direction][y-direction][z-direction];
+% same as type 1 but with springs
+% Type 5
+% \dsupport{5}{insertion point}[x-direction][y-direction][z-direction];
+% same as type 3 but with springs
+
+\newcommandx{\dsupport}[6][3=1,4=1,5=1,6=1]{
+ \ifthenelse{\equal{#1}{1}}{ %
+ \ifthenelse{\equal{#3}{0}}{}{
+ \draw [normalLine] (#2)-- ++(-\DsupportLength*#3,0,0);
+ \filldraw [normalLine,fill=white] ($(#2)+1*(-\DsupportLength*#3,0,0)$) circle (\DhingeRadius);
+ }
+ \ifthenelse{\equal{#4}{0}}{}{
+ \draw [normalLine] (#2)-- ++(0,-\DsupportLength*#4,0);
+ \filldraw [normalLine,fill=white] ($(#2)+1*(0,-\DsupportLength*#4,0)$) circle (\DhingeRadius);
+ }
+ \ifthenelse{\equal{#5}{0}}{}{
+ \draw [normalLine] (#2)-- ++(0,0,-\DsupportLength*#5);
+ \filldraw [normalLine,fill=white] ($(#2)+1*(0,0,-\DsupportLength*#5)$) circle (\DhingeRadius);
+ }
+ }{}
+
+ \ifthenelse{\equal{#1}{2}}{ %
+ \ifthenelse{\equal{#3}{xy}}
+ {\renewcommand{\DhelpVarA}{z}}{}
+ \ifthenelse{\equal{#3}{yx}}
+ {\renewcommand{\DhelpVarA}{z}}{}
+ \ifthenelse{\equal{#3}{xz}}
+ {\renewcommand{\DhelpVarA}{y}}{}
+ \ifthenelse{\equal{#3}{zx}}
+ {\renewcommand{\DhelpVarA}{y}}{}
+ \ifthenelse{\equal{#3}{yz}}
+ {\renewcommand{\DhelpVarA}{x}}{}
+ \ifthenelse{\equal{#3}{zy}}
+ {\renewcommand{\DhelpVarA}{x}}{}
+
+ \begin{scope}[canvas is #3 plane at \DhelpVarA=#4]
+ \draw [hugeLine] (#2)-- ++(-\DsupportLength/2,0)--++(\DsupportLength,0);
+ \draw [hugeLine] (#2)-- ++(0,-\DsupportLength/2)--++(0,\DsupportLength);
+ \end{scope}
+ }{}
+
+ \ifthenelse{\equal{#1}{3}}{ %
+
+ \ifthenelse{\equal{#3}{0}}{}{
+ \draw [normalLine] ($(#2)+1*(0,0,-\DhingeAxialHeight*2/3)$)-- ++(-\DsupportLength*#3,0,0);
+ \filldraw [normalLine,fill=white] ($(#2)+1*(-\DsupportLength*#3,0,-\DhingeAxialHeight*2/3)$) circle (\DhingeRadius);
+ }
+ \ifthenelse{\equal{#4}{0}}{}{
+ \draw [normalLine] ($(#2)+1*(0,0,-\DhingeAxialHeight*2/3)$)-- ++(0,-\DsupportLength*#4,0);
+ \filldraw [normalLine,fill=white] ($(#2)+1*(0,-\DsupportLength*#4,-\DhingeAxialHeight*2/3)$) circle (\DhingeRadius);
+ }
+ \ifthenelse{\equal{#5}{0}}{}{
+ \draw [normalLine] ($(#2)+1*(0,0,-\DhingeAxialHeight/2.5)$)-- ++(0,0,-\DsupportLength*#5+\DhingeAxialHeight/2);
+ \filldraw [normalLine,fill=white] ($(#2)+1*(0,0,-\DsupportLength*#5)$) circle (\DhingeRadius);
+ }
+
+ }{}
+
+ \ifthenelse{\equal{#1}{4}}{ %
+ \ifthenelse{\equal{#3}{0}}{}{
+ \draw [Dspring] (#2)-- ++(-\DsupportLength*#3,0,0);
+ \filldraw [normalLine,fill=white] ($(#2)+1*(-\DsupportLength*#3,0,0)$) circle (\DhingeRadius);
+ }
+ \ifthenelse{\equal{#4}{0}}{}{
+ \draw [Dspring] (#2)-- ++(0,-\DsupportLength*#4,0);
+ \filldraw [normalLine,fill=white] ($(#2)+1*(0,-\DsupportLength*#4,0)$) circle (\DhingeRadius);
+ }
+ \ifthenelse{\equal{#5}{0}}{}{
+ \draw [Dspring] (#2)-- ++(0,0,-\DsupportLength*#5);
+ \filldraw [normalLine,fill=white] ($(#2)+1*(0,0,-\DsupportLength*#5)$) circle (\DhingeRadius);
+ }
+
+ }{}
+
+ \ifthenelse{\equal{#1}{5}}{ %
+
+ \ifthenelse{\equal{#3}{0}}{}{
+ \draw [Dspring] ($(#2)+1*(0,0,-\DhingeAxialHeight*2/3)$)-- ++(-\DsupportLength*#3,0,0);
+ \filldraw [normalLine,fill=white] ($(#2)+1*(-\DsupportLength*#3,0,-\DhingeAxialHeight*2/3)$) circle (\DhingeRadius);
+ }
+ \ifthenelse{\equal{#4}{0}}{}{
+ \draw [Dspring] ($(#2)+1*(0,0,-\DhingeAxialHeight*2/3)$)-- ++(0,-\DsupportLength*#4,0);
+ \filldraw [normalLine,fill=white] ($(#2)+1*(0,-\DsupportLength*#4,-\DhingeAxialHeight*2/3)$) circle (\DhingeRadius);
+ }
+ \ifthenelse{\equal{#5}{0}}{}{
+ \draw [Dspring] ($(#2)+1*(0,0,-\DhingeAxialHeight/2.5)$)-- ++(0,0,-\DsupportLength*#5+\DhingeAxialHeight/2);
+ \filldraw [normalLine,fill=white] ($(#2)+1*(0,0,-\DsupportLength*#5)$) circle (\DhingeRadius);
+ }
+ }{}
+}
+
+%------------------------------------------------
+% 3dhinge
+%------------------------------------------------
+% \dhinge{type}{insertion point}[][][];
+%
+% Type 1
+% \dhinge{1}{insertion point};
+%
+% Type 2
+% \dhinge{2}{insertion point}[initial point][end point][orientation];
+% with orientation: 0=standard, 1=other direction
+% Type 3
+% \dhinge{3}{insertion point}[rotation];
+% in combination with \dsupport{3}
+% Type 4
+% \dhinge{4}{insertion point}[initial point][end point];
+%
+
+\newcommandx{\dhinge}[5][3=0,4=0,5=0]{
+ \ifthenelse{\equal{#1}{1}}{ %
+ \begin{scope}[rotate around={#3:(#2)}]
+ \fill [white] (#2) circle (\DhingeRadius);
+ \draw [normalLine] (#2) circle (\DhingeRadius);
+ \end{scope}
+ }{}
+
+ \ifthenelse{\equal{#1}{2}}{ %
+ \begin{scope}[even odd rule]
+ \ifthenelse{\equal{#5}{1}}{
+ \clip (#2) circle (\DhingeBigRadius+\DnormalLineWidth)
+ (#2)--(#3)--($(#3)!\DhingeBigRadius+\DnormalLineWidth!-90:(#2)$)--($(#4)!\DhingeBigRadius+\DnormalLineWidth!90:(#2)$)--(#4)-- cycle;
+ }{
+ \clip (#2)--(#3)--($(#3)!\DhingeBigRadius+\DnormalLineWidth!-90:(#2)$)--($(#4)!\DhingeBigRadius+\DnormalLineWidth!90:(#2)$)--(#4)-- cycle;
+ }
+ \filldraw [fill=white,normalLine] (#2) circle (\DhingeBigRadius);
+ \end{scope}
+ \draw[hugeLine] ($(#2)!\DhingeBigRadius!(#3)$)--(#2)--($(#2)!\DhingeBigRadius!(#4)$);
+ }{}
+
+ \ifthenelse{\equal{#1}{3}}{ %
+ \begin{scope}
+ \draw [normalLine] ($(#2)+1*({0*cos(#3+90)-\DhingeAxialHeight/2*sin(#3+90)},{0*sin(#3+90)+\DhingeAxialHeight/2*cos(#3+90)},2*\DhingeAxialLength/3)$)
+ -- ++(0,0,-\DhingeAxialLength)
+ -- ++({0*cos(#3+90)+\DhingeAxialHeight*sin(#3+90)},{0*sin(#3+90)-\DhingeAxialHeight*cos(#3+90)})
+ -- ++(0,0,\DhingeAxialLength);
+ \end{scope}
+ }{}
+
+ \ifthenelse{\equal{#1}{4}}{ %
+ \coordinate (hingeVarA) at ($ (#2)!\DhingeCornerLength!(#3) $);
+ \coordinate (hingeVarB) at ($ (#2)!\DhingeCornerLength!(#4) $);
+ \fill[black] (#2) -- (hingeVarA) -- (hingeVarB) -- cycle;
+ \fill[black] (#2)circle (\DhugeLineWidth/2);
+ }{}
+}
+
+%------------------------------------------------
+% 3dload
+%------------------------------------------------
+% \dload{type}{insertion point}[rotation A][rotation B][load length][load distance];
+% rotation A and B to positioning the load around the insertion point (spherical coordinates)
+%
+
+\newcommandx{\dload}[6][3=0,4=0,5=0,6=0]{
+ \ifthenelse{\equal{#1}{1}}{ %
+ \ifthenelse{\equal{#6}{0}}
+ {\renewcommand{\DhelpVarA}{\DforceDistance}}
+ {\renewcommand{\DhelpVarA}{#6}}
+ \ifthenelse{\equal{#5}{0}}
+ {\renewcommand{\DhelpVarB}{\DforceLength}}
+ {\renewcommand{\DhelpVarB}{#5}}
+ \draw[force,<-] ($(#2)+1*({\DhelpVarA*cos(#4)*sin(#3)},{\DhelpVarA*sin(#4)*sin(#3)},{\DhelpVarA*cos(#3)})$) --++({\DhelpVarB*cos(#4)*sin(#3)},{\DhelpVarB*sin(#4)*sin(#3)},{\DhelpVarB*cos(#3)});
+ }{}
+
+
+ \ifthenelse{\equal{#1}{2}}{ %
+ \ifthenelse{\equal{#6}{0}}
+ {\renewcommand{\DhelpVarA}{\DforceDistance}}
+ {\renewcommand{\DhelpVarA}{#6}}
+ \ifthenelse{\equal{#5}{0}}
+ {\renewcommand{\DhelpVarB}{\DforceLength}}
+ {\renewcommand{\DhelpVarB}{#5}}
+ \draw[force,->] ($(#2)+1*({\DhelpVarA*cos(#4)*sin(#3)},{\DhelpVarA*sin(#4)*sin(#3)},{\DhelpVarA*cos(#3)})$) --++({\DhelpVarB*cos(#4)*sin(#3)},{\DhelpVarB*sin(#4)*sin(#3)},{\DhelpVarB*cos(#3)});
+ }{}
+
+ \ifthenelse{\equal{#1}{3}}{ %
+ \ifthenelse{\equal{#6}{0}}
+ {\renewcommand{\DhelpVarA}{\DforceDistance}}
+ {\renewcommand{\DhelpVarA}{#6}}
+ \ifthenelse{\equal{#5}{0}}
+ {\renewcommand{\DhelpVarB}{\DforceLength}}
+ {\renewcommand{\DhelpVarB}{#5}}
+ \draw[force,<<-] ($(#2)+1*({\DhelpVarA*cos(#4)*sin(#3)},{\DhelpVarA*sin(#4)*sin(#3)},{\DhelpVarA*cos(#3)})$) --++({\DhelpVarB*cos(#4)*sin(#3)},{\DhelpVarB*sin(#4)*sin(#3)},{\DhelpVarB*cos(#3)});
+ }{}
+
+ \ifthenelse{\equal{#1}{4}}{ %
+ \ifthenelse{\equal{#6}{0}}
+ {\renewcommand{\DhelpVarA}{\DforceDistance}}
+ {\renewcommand{\DhelpVarA}{#6}}
+ \ifthenelse{\equal{#5}{0}}
+ {\renewcommand{\DhelpVarB}{\DforceLength}}
+ {\renewcommand{\DhelpVarB}{#5}}
+ \draw[force,->>] ($(#2)+1*({\DhelpVarA*cos(#4)*sin(#3)},{\DhelpVarA*sin(#4)*sin(#3)},{\DhelpVarA*cos(#3)})$) --++({\DhelpVarB*cos(#4)*sin(#3)},{\DhelpVarB*sin(#4)*sin(#3)},{\DhelpVarB*cos(#3)});
+ }{}
+
+}
+
+%------------------------------------------------
+% 3dlineload
+%------------------------------------------------
+% \dlineload{type}{}[]{initial point}{end point}[][][][];
+%
+% Type 1: in plane
+% \dlineload{1}{plane}[plane distance]{initial point}{end point}[initial force value][end force value][force interval];
+%
+% Type 2: in plane
+% \dlineload{2}{plane}[plane distance]{initial point}{end point}[initial force value][end force value][force interval];
+%
+% Type 3: in plane
+% \dlineload{3}{plane}[plane distance]{initial point}{end point}[initial force value][end force value][lineload distance from inital point][force interval];
+%
+% Type 4: in plane
+% \dlineload{4}{plane}[plane distance]{initial point}{end point}[force interval][force length];
+%
+% Type 5: in space
+% \dlineload{5}{rotation A}[rotation B]{initial point}{end point}[initial force value][end force value][force interval];
+% rotation A and B to positioning the lineload around the initial point (spherical coordinates)
+% Type 6: in space
+% \dlineload{6}{rotation A}[rotation B]{initial point}{end point}[force interval][force length];
+% rotation A and B to positioning the lineload around the initial point (spherical coordinates)
+
+\newcommandx{\dlineload}[9][3=0,6=1,7=1,8=\DlineloadInterval,9=\DlineloadInterval]{
+ %
+ \ifthenelse{\equal{#2}{xy}}
+ {\renewcommand{\DhelpVarA}{z}}{}
+ \ifthenelse{\equal{#2}{yx}}
+ {\renewcommand{\DhelpVarA}{z}}{}
+ \ifthenelse{\equal{#2}{xz}}
+ {\renewcommand{\DhelpVarA}{y}}{}
+ \ifthenelse{\equal{#2}{zx}}
+ {\renewcommand{\DhelpVarA}{y}}{}
+ \ifthenelse{\equal{#2}{yz}}
+ {\renewcommand{\DhelpVarA}{x}}{}
+ \ifthenelse{\equal{#2}{zy}}
+ {\renewcommand{\DhelpVarA}{x}}{}
+ %
+ \ifthenelse{\equal{#1}{5}}
+ {\sublineload{#1}{#4}{#5}[#6][#7][#8][#9][#2][#3];}
+ {\ifthenelse{\equal{#1}{6}}
+ {\sublineload{#1}{#4}{#5}[#6][#7][#8][#9][#2][#3];}
+ {
+ \begin{scope}[canvas is #2 plane at \DhelpVarA=#3]
+ \sublineload{#1}{#4}{#5}[#6][#7][#8][#9];
+ \end{scope}
+ }
+ }
+}
+
+\newcommandx{\sublineload}[9][4=1,5=1,6=\DlineloadInterval,7=\DlineloadInterval,8=0,9=0]{
+ \ifthenelse{\equal{#1}{1}}{ %
+ \coordinate (lineloadVarA1) at ($ (#2)!\DlineloadDistanceMM!90:(#3) $);
+ \coordinate (lineloadVarB1) at ($ (#3)!\DlineloadDistanceMM!-90:(#2) $);
+ \coordinate (lineloadVarA2) at ($ (#2)!{\DlineloadDistanceMM +#4cm}!90:(#3) $);
+ \coordinate (lineloadVarB2) at ($ (#3)!{\DlineloadDistanceMM+#5cm}!-90:(#2) $);
+ \ifthenelse{\equal{#4}{0}}{}
+ {
+ \draw [force,->] (lineloadVarA2) -- (lineloadVarA1);
+ }
+ \ifthenelse{\equal{#5}{0}}{}
+ {
+ \draw [force,->] (lineloadVarB2) -- (lineloadVarB1);
+ }
+ \draw [smallLine] (lineloadVarA1) -- (lineloadVarB1) node(xline)[right] {};
+ \draw [normalLine] (lineloadVarA2) -- (lineloadVarB2);
+ \fill (lineloadVarA2) circle (\DnormalLineWidth/2);
+ \fill (lineloadVarB2) circle (\DnormalLineWidth/2);
+ \pgfmathsetmacro{\lineloadIntervalBegin}{#6/\DscalingParameter}
+ \pgfmathsetmacro{\lineloadIntervalStep}{#6/\DscalingParameter*2}
+ \pgfmathsetmacro{\lineloadIntervalEnd}{1-#6/\DscalingParameter}
+ \foreach \i in {\lineloadIntervalBegin,\lineloadIntervalStep,...,\lineloadIntervalEnd}
+ \draw [force,->] ($(lineloadVarA2)!\i!(lineloadVarB2)$)-- ($(lineloadVarA1)!\i!(lineloadVarB1)$);
+ }{}
+
+ \ifthenelse{\equal{#1}{2}}{ %
+ \coordinate (lineloadVarA1) at ($ (#2)+1*(0,\DlineloadDistanceMM) $);
+ \coordinate (lineloadVarB1) at ($ (#3)+1*(0,\DlineloadDistanceMM) $);
+ \coordinate (lineloadVarA2) at ($ (#2)+1*(0,\DlineloadDistanceMM+#4cm) $);
+ \coordinate (lineloadVarB2) at ($ (#3)+1*(0,\DlineloadDistanceMM+#5cm) $);
+ \ifthenelse{\equal{#4}{0}}{}
+ {
+ \draw [force,->] (lineloadVarA2) -- (lineloadVarA1);
+ }
+ \ifthenelse{\equal{#5}{0}}{}
+ {
+ \draw [force,->] (lineloadVarB2) -- (lineloadVarB1);
+ }
+ \draw [smallLine] (lineloadVarA1) -- (lineloadVarB1) node(xline)[right] {};
+ \draw [normalLine] (lineloadVarA2) -- (lineloadVarB2);
+ \fill (lineloadVarA2) circle (\DnormalLineWidth/2);
+ \fill (lineloadVarB2) circle (\DnormalLineWidth/2);
+ \pgfmathsetmacro{\lineloadIntervalBegin}{#6}
+ \pgfmathsetmacro{\lineloadIntervalStep}{#6*2}
+ \pgfmathsetmacro{\lineloadIntervalEnd}{1-#6}
+ \foreach \i in {\lineloadIntervalBegin,\lineloadIntervalStep,...,\lineloadIntervalEnd}
+ \draw [force,->] ($(lineloadVarA2)!\i!(lineloadVarB2)$)-- ($(lineloadVarA1)!\i!(lineloadVarB1)$);
+ }{}
+
+ \ifthenelse{\equal{#1}{3}}{ %
+ \ifthenelse{\equal{#6}{\DlineloadInterval}}
+ {\renewcommand{\DhelpVarA}{0cm}}
+ {\renewcommand{\DhelpVarA}{#6cm}}
+ \path
+ let
+ \p1 = (#2),
+ \p2 = (#3)
+ in
+ coordinate (lineloadVarA1) at ($(\p1)+1*(0,\DlineloadDistanceMM+\DhelpVarA)$)
+ coordinate (lineloadVarB1) at ($(\x2,\y1)+1*(0,\DlineloadDistanceMM+\DhelpVarA)$)
+ coordinate (lineloadVarA2) at ($ (\p1)+1*(0,\DlineloadDistanceMM+\DhelpVarA+#4cm)$)
+ coordinate (lineloadVarB2) at ($ (\x2,\y1)+1*(0,\DlineloadDistanceMM+\DhelpVarA+#5cm)$);
+ \draw [tinyLine,loosely dotted] (lineloadVarA1)--($(#2)+1*(0,\DhingeBigRadius)$);
+ \draw [tinyLine,loosely dotted] (lineloadVarB1)--($(#3)+1*(0,\DhingeBigRadius)$);
+ \ifthenelse{\equal{#4}{0}}{}
+ {
+ \draw [force,->] (lineloadVarA2) -- (lineloadVarA1);
+ }
+ \ifthenelse{\equal{#5}{0}}{}
+ {
+ \draw [force,->] (lineloadVarB2) -- (lineloadVarB1);
+ }
+ \draw [smallLine] (lineloadVarA1) -- (lineloadVarB1) node(xline)[right] {};
+ \draw [normalLine] (lineloadVarA2) -- (lineloadVarB2);
+ \fill (lineloadVarA2) circle (\DnormalLineWidth/2);
+ \fill (lineloadVarB2) circle (\DnormalLineWidth/2);
+ \pgfmathsetmacro{\lineloadIntervalBegin}{#7}
+ \pgfmathsetmacro{\lineloadIntervalStep}{#7*2}
+ \pgfmathsetmacro{\lineloadIntervalEnd}{1-#7}
+ \foreach \i in {\lineloadIntervalBegin,\lineloadIntervalStep,...,\lineloadIntervalEnd}
+ \draw [force,->] ($(lineloadVarA2)!\i!(lineloadVarB2)$)-- ($(lineloadVarA1)!\i!(lineloadVarB1)$);
+ }{}
+
+ \ifthenelse{\equal{#1}{4}}{ %
+ \coordinate (lineloadVarA1) at ($ (#2)+1*(0,\DlineloadDistanceMM) $);
+ \coordinate (lineloadVarB1) at ($ (#3)+1*(0,\DlineloadDistanceMM) $);
+ \ifthenelse{\equal{#4}{1}}
+ {\pgfmathsetmacro{\lineloadIntervalStep}{\DlineloadInterval}
+ \pgfmathsetmacro{\lineloadIntervalEnd}{1-\DlineloadInterval/2}}
+ {\pgfmathsetmacro{\lineloadIntervalStep}{#4}
+ \pgfmathsetmacro{\lineloadIntervalEnd}{1-#4/2}}
+ \ifthenelse{\equal{#5}{1}}
+ {\pgfmathsetmacro{\lineloadForceLength}{\DlineloadForce}}
+ {\pgfmathsetmacro{\lineloadForceLength}{#5}}
+ \foreach \i in {0,\lineloadIntervalStep,...,\lineloadIntervalEnd}
+ \draw [force,->] ($(lineloadVarA1)!\i!(lineloadVarB1)$) -- ($(lineloadVarA1)!\i+\lineloadForceLength!(lineloadVarB1)$);
+ }{}
+
+\ifthenelse{\equal{#1}{5}}{ %
+ \coordinate (lineloadVarA1) at ($(#2)+1*({\DlineloadDistance*cos(#9)*sin(#8)},{\DlineloadDistance*sin(#9)*sin(#8)},{\DlineloadDistance*cos(#8)})$);
+ \coordinate (lineloadVarB1) at ($(#3)+1*({\DlineloadDistance*cos(#9)*sin(#8)},{\DlineloadDistance*sin(#9)*sin(#8)},{\DlineloadDistance*cos(#8)})$);
+ \coordinate (lineloadVarA2) at ($(#2)+1*({(\DlineloadDistance+#4)*cos(#9)*sin(#8)},{(\DlineloadDistance+#4)*sin(#9)*sin(#8)},{(\DlineloadDistance+#4)*cos(#8)})$);
+ \coordinate (lineloadVarB2) at ($(#3)+1*({(\DlineloadDistance+#5)*cos(#9)*sin(#8)},{(\DlineloadDistance+#5)*sin(#9)*sin(#8)},{(\DlineloadDistance+#5)*cos(#8)})$);
+ \ifthenelse{\equal{#4}{0}}{}
+ {
+ \draw [force,->] (lineloadVarA2) -- (lineloadVarA1);
+ }
+ \ifthenelse{\equal{#5}{0}}{}
+ {
+ \draw [force,->] (lineloadVarB2) -- (lineloadVarB1);
+ }
+ \draw [smallLine] (lineloadVarA1) -- (lineloadVarB1) node(xline)[right] {};
+ \draw [normalLine] (lineloadVarA2) -- (lineloadVarB2);
+ \fill (lineloadVarA2) circle (\DnormalLineWidth/2);
+ \fill (lineloadVarB2) circle (\DnormalLineWidth/2);
+ \pgfmathsetmacro{\lineloadIntervalBegin}{#6/\DscalingParameter}
+ \pgfmathsetmacro{\lineloadIntervalStep}{#6/\DscalingParameter*2}
+ \pgfmathsetmacro{\lineloadIntervalEnd}{1-#6/\DscalingParameter}
+ \foreach \i in {\lineloadIntervalBegin,\lineloadIntervalStep,...,\lineloadIntervalEnd}
+ \draw [force,->] ($(lineloadVarA2)!\i!(lineloadVarB2)$)-- ($(lineloadVarA1)!\i!(lineloadVarB1)$);
+ }{}
+
+
+ \ifthenelse{\equal{#1}{6}}{ %
+ \coordinate (lineloadVarA1) at ($(#2)+1*({\DlineloadDistance*cos(#9)*sin(#8)},{\DlineloadDistance*sin(#9)*sin(#8)},{\DlineloadDistance*cos(#8)})$);
+ \coordinate (lineloadVarB1) at ($(#3)+1*({\DlineloadDistance*cos(#9)*sin(#8)},{\DlineloadDistance*sin(#9)*sin(#8)},{\DlineloadDistance*cos(#8)})$);
+ \ifthenelse{\equal{#4}{1}}
+ {\pgfmathsetmacro{\lineloadIntervalStep}{\DlineloadInterval}
+ \pgfmathsetmacro{\lineloadIntervalEnd}{1-\DlineloadInterval/2}}
+ {\pgfmathsetmacro{\lineloadIntervalStep}{#4}
+ \pgfmathsetmacro{\lineloadIntervalEnd}{1-#4/2}}
+ \ifthenelse{\equal{#5}{1}}
+ {\pgfmathsetmacro{\lineloadForceLength}{\DlineloadForce}}
+ {\pgfmathsetmacro{\lineloadForceLength}{#5}}
+ \foreach \i in {0,\lineloadIntervalStep,...,\lineloadIntervalEnd}
+ \draw [force,->] ($(lineloadVarA1)!\i!(lineloadVarB1)$) -- ($(lineloadVarA1)!\i+\lineloadForceLength!(lineloadVarB1)$);
+ }{}
+
+}
+
+%------------------------------------------------
+% 3dinternalforces
+%------------------------------------------------
+% \dinternalforces{plane}[plane distance]{initial point}{end point}{initial value}{end value}[parabola height][color][bend position];
+%
+
+\newcommandx{\dinternalforces}[9][2=0,7=0,8=red,9=.6667]{
+ %
+ \ifthenelse{\equal{#1}{xy}}
+ {\renewcommand{\DhelpVarA}{z}}{}
+ \ifthenelse{\equal{#1}{yx}}
+ {\renewcommand{\DhelpVarA}{z}}{}
+ \ifthenelse{\equal{#1}{xz}}
+ {\renewcommand{\DhelpVarA}{y}}{}
+ \ifthenelse{\equal{#1}{zx}}
+ {\renewcommand{\DhelpVarA}{y}}{}
+ \ifthenelse{\equal{#1}{yz}}
+ {\renewcommand{\DhelpVarA}{x}}{}
+ \ifthenelse{\equal{#1}{zy}}
+ {\renewcommand{\DhelpVarA}{x}}{}
+
+ \begin{scope}[canvas is #1 plane at \DhelpVarA=#2]
+ \subinternalforces{#3}{#4}{#5}{#6}[#7][#8][#9];
+ \end{scope}
+}
+
+\newcommandx{\subinternalforces}[7][5=0,6=red,7=.6667]{%
+ \coordinate (internalforcesVarA) at ($ (#1)!#3cm!-90:(#2) $);
+ \coordinate (internalforcesVarB) at ($ (#2)!#4cm!90:(#1)$);
+ \coordinate (internalforcesVarAB) at ($ (internalforcesVarA)!.5!(internalforcesVarB)$);
+ \coordinate (internalforcesVarC) at ($ (internalforcesVarAB)+2*(0,#5)$);
+ \coordinate (internalforcesVarAC) at ($ (internalforcesVarA)!#7!(internalforcesVarC)$);
+ \coordinate (internalforcesVarBC) at ($ (internalforcesVarB)!#7!(internalforcesVarC)$);
+ \ifthenelse{\equal{#5}{0}}{
+ \draw [bigLine,color=#6] (#1) -- (internalforcesVarA) (internalforcesVarA) -- (internalforcesVarB) (internalforcesVarB) -- (#2);
+ \fill [color=#6] (internalforcesVarA) circle (\DbigLineWidth/2);
+ \fill [color=#6] (internalforcesVarB) circle (\DbigLineWidth/2);
+ \fill [color=#6] (#1) circle (\DbigLineWidth/2);
+ \fill [color=#6] (#2) circle (\DbigLineWidth/2);
+ }
+ {
+ \draw [bigLine,color=#6] (#1) -- (internalforcesVarA) (internalforcesVarA) .. controls (internalforcesVarAC) and (internalforcesVarBC) .. (internalforcesVarB) (internalforcesVarB) -- (#2);
+ \fill [color=#6] (internalforcesVarA) circle (\DbigLineWidth/2);
+ \fill [color=#6] (internalforcesVarB) circle (\DbigLineWidth/2);
+ \fill [color=#6] (#1) circle (\DbigLineWidth/2);
+ \fill [color=#6] (#2) circle (\DbigLineWidth/2);
+ }
+
+}
+
+%------------------------------------------------
+% 3ddimensioning
+%------------------------------------------------
+% \ddimensioning{plane}[plane distance]{initial point}{end point}{distance from point of origin}[measure][help line length];
+%
+
+\newcommandx{\ddimensioning}[7][2=0,6,7=0]{
+ %
+ \ifthenelse{\equal{#1}{xy}}
+ {\renewcommand{\DhelpVarA}{z}}{}
+ \ifthenelse{\equal{#1}{yx}}
+ {\renewcommand{\DhelpVarA}{z}}{}
+ \ifthenelse{\equal{#1}{xz}}
+ {\renewcommand{\DhelpVarA}{y}}{}
+ \ifthenelse{\equal{#1}{zx}}
+ {\renewcommand{\DhelpVarA}{y}}{}
+ \ifthenelse{\equal{#1}{yz}}
+ {\renewcommand{\DhelpVarA}{x}}{}
+ \ifthenelse{\equal{#1}{zy}}
+ {\renewcommand{\DhelpVarA}{x}}{}
+
+ \subdimensioning{#1}{#3}{#4}{#5}[#6][#7][#2][\DhelpVarA];
+}
+
+\newcommandx{\subdimensioning}[8][5,6=0,7=0,8]{
+ \ifthenelse{\equal{#1}{xy}}{
+ \begin{scope}[canvas is yx plane at #8=#7]
+ \path
+ let
+ \p1 = (#2),
+ \p2 = (#3)
+ in
+ coordinate (dimensioningVarA) at (#4,\y1)
+ coordinate (dimensioningVarB) at (#4,\y2);
+ \draw [smallLine] (dimensioningVarA)--++(\DdimensioningBar/2,0)--++(-\DdimensioningBar,0)
+ (dimensioningVarA)--++(\DdimensioningBar/4,\DdimensioningBar/4)--++(-\DdimensioningBar/2,-\DdimensioningBar/2)
+ (dimensioningVarB)--++(\DdimensioningBar/2,0)--++(-\DdimensioningBar,0)
+ (dimensioningVarB)--++(\DdimensioningBar/4,\DdimensioningBar/4)--++(-\DdimensioningBar/2,-\DdimensioningBar/2);
+ \end{scope}
+ \draw [smallLine] (dimensioningVarA)--(dimensioningVarB) node [sloped,midway,above] {#5};
+ \draw [tinyLine,dotted] (dimensioningVarA)--($ (dimensioningVarA)!{#6cm}!(#2) $)
+ (dimensioningVarB)--($ (dimensioningVarB)!{#6cm}!(#3) $);
+ }{
+ \begin{scope}[canvas is #1 plane at #8=#7]
+ \path
+ let
+ \p1 = (#2),
+ \p2 = (#3)
+ in
+ coordinate (dimensioningVarA) at (\x1,#4)
+ coordinate (dimensioningVarB) at (\x2,#4);
+ \draw [smallLine] (dimensioningVarA)--++(0,\DdimensioningBar/2)--++(0,-\DdimensioningBar)
+ (dimensioningVarA)--++(\DdimensioningBar/4,\DdimensioningBar/4)--++(-\DdimensioningBar/2,-\DdimensioningBar/2)
+ (dimensioningVarB)--++(0,\DdimensioningBar/2)--++(0,-\DdimensioningBar)
+ (dimensioningVarB)--++(\DdimensioningBar/4,\DdimensioningBar/4)--++(-\DdimensioningBar/2,-\DdimensioningBar/2);
+ \end{scope}
+ \draw [smallLine] (dimensioningVarA)--(dimensioningVarB) node [sloped,midway,above] {#5};
+ \draw [tinyLine,dotted] (dimensioningVarA)--($ (dimensioningVarA)!{#6cm}!(#2) $)
+ (dimensioningVarB)--($ (dimensioningVarB)!{#6cm}!(#3) $);
+ }
+}
+
+%------------------------------------------------
+% 3dnotation
+%------------------------------------------------
+% \dnotation{type}{insertion point}{}[][][];
+%
+% Type 1
+% \dnotation{1}{insertion point}{labelling}[orientation];
+%
+% Type 2
+% \dnotation{2}{insertion point}{labelling}[orientation];
+%
+% Type 3
+% \dnotation{3}{initial point}{end point}[labelling][position][orientation];
+%
+% Type 4
+% \dnotation{4}{initial point}{end point}[labelling][position][orientation][text orientation];
+% with text orientation: 0 or nothing = parallel to beam, 1=parallel to axis
+% Type 5
+% \dnotation{5}{initial point}{end point}[labelling][position][orientation][text orientation];
+% with text orientation: 0 or nothing = parallel to beam, 1=parallel to axis
+% Type 6
+% \dnotation{6}{insertion point}{labelling};
+%
+
+\newcommandx{\dnotation}[7][4=above right,5=.5,6=above,7=sloped]{
+ \ifthenelse{\equal{#1}{1}}{
+ \begin{scope}
+ \draw (#2) node [#4]{#3};
+ \end{scope}
+ }{}
+
+ \ifthenelse{\equal{#1}{2}}{
+ \begin{scope}
+ \draw (#2) node [#4]{#3};
+ \draw[bigLine] (#2)--++(0,\DdimensioningBar/2)--++(0,-\DdimensioningBar);
+ \end{scope}
+ }{}
+
+ \ifthenelse{\equal{#1}{3}}{
+ \coordinate (notationVarA1) at ($ (#2)!#5!(#3) $);
+ \coordinate (notationVarB1) at ($ (notationVarA1)!\DdimensioningBar/2!90:(#3) $);
+ \coordinate (notationVarB2) at ($ (notationVarA1)!\DdimensioningBar/2!-90:(#3) $);
+ \draw[bigLine] (notationVarB1)--(notationVarB2);
+ \draw (notationVarA1) node [#6]{#4};
+ }{}
+
+ \ifthenelse{\equal{#1}{4}}{
+ \ifthenelse{\equal{#7}{1}}
+ {\renewcommand{\DhelpVarB}{}}
+ {\renewcommand{\DhelpVarB}{sloped}}
+ \begin{scope}
+ \path (#2) -- (#3) node[inner sep=0mm,rectangle,smallLine,fill=white,draw,minimum size=2.5*\DnoteRadius,midway,#6,\DhelpVarB,pos=#5] {#4};
+ \end{scope}
+ }{}
+
+ \ifthenelse{\equal{#1}{5}}{
+ \ifthenelse{\equal{#7}{1}}
+ {\renewcommand{\DhelpVarB}{}}
+ {\renewcommand{\DhelpVarB}{sloped}}
+ \begin{scope}
+ \path (#2) -- (#3) node[midway,#6,\DhelpVarB,pos=#5] {#4};
+ \end{scope}
+ }{}
+
+ \ifthenelse{\equal{#1}{6}}{
+ \begin{scope}
+ \draw (#2) node [inner sep=0mm,circle,smallLine,fill=white,draw,minimum size=2.5*\DnoteRadius]{#3};
+ \end{scope}
+ }{}
+
+}
+
+%------------------------------------------------
+% 3daddon
+%------------------------------------------------
+% \daddon{type}{plane}[plane distance]{}{}{}[];
+%
+% Type 1
+% \daddon{1}{plane}[plane distance]{insertion point}{end point}{position};
+%
+% Type 2
+% \daddon{2}{plane}[plane distance]{insertion point}{initial point}{end point}[orientation];
+% with orientation: 1=standard, -1 or 0 = other direction
+% Type 3
+% \daddon{3}{plane}[plane distance]{insertion point}{initial point}{end point}[orientation];
+% with orientation: 1=standard, -1 or 0 = other direction
+
+\newcommandx{\daddon}[7][3=0,7=1]{
+
+ \ifthenelse{\equal{#2}{xy}}
+ {\renewcommand{\DhelpVarA}{z}}{}
+ \ifthenelse{\equal{#2}{yx}}
+ {\renewcommand{\DhelpVarA}{z}}{}
+ \ifthenelse{\equal{#2}{xz}}
+ {\renewcommand{\DhelpVarA}{y}}{}
+ \ifthenelse{\equal{#2}{zx}}
+ {\renewcommand{\DhelpVarA}{y}}{}
+ \ifthenelse{\equal{#2}{yz}}
+ {\renewcommand{\DhelpVarA}{x}}{}
+ \ifthenelse{\equal{#2}{zy}}
+ {\renewcommand{\DhelpVarA}{x}}{}
+
+ \begin{scope}[canvas is #2 plane at \DhelpVarA=#3]
+ \subaddon{#1}{#4}{#5}{#6}[#7];
+ \end{scope}
+}
+
+\newcommandx{\subaddon}[5][5=1]{
+ \ifthenelse{\equal{#1}{1}}{
+ \coordinate (addonVarA1) at ($ (#2)!#4!(#3) $);
+ \coordinate (addonVarB1) at ($ (addonVarA1)!\DaddonLength/2!45:(#3) $);
+ \coordinate (addonVarB2) at ($ (addonVarA1)!\DaddonLength/2!225:(#3) $);
+ \draw[smallLine] (addonVarB1)--(addonVarB2)
+ ($(addonVarB1)+1*(\DsupportGap,0)$)--($(addonVarB2)+1*(\DsupportGap,0)$);
+ }{}
+
+ \ifthenelse{\equal{#1}{2}}{
+ \coordinate (addonVarA1) at ($ (#2)!\DaddonLength!(#3) $);
+ \coordinate (addonVarB1) at ($ (#2)!\DaddonLength!(#4) $);
+ \ifthenelse{\equal{#5}{1}}
+ {
+ \coordinate (addonVarC1) at ($ (addonVarA1)!\DaddonLength!90:(#3) $);
+ \coordinate (addonVarD1) at ($ (#2)!1.414*\DaddonLength/2!45:(#3) $);
+ }
+ {
+ \coordinate (addonVarC1) at ($ (addonVarA1)!\DaddonLength!-90:(#3) $);
+ \coordinate (addonVarD1) at ($ (#2)!1.414*\DaddonLength/2!-45:(#3) $);
+ }
+ \draw[smallLine] (addonVarA1)--(addonVarC1)-- (addonVarB1);
+ \filldraw (addonVarD1) circle (\DsmallLineWidth);
+ }{}
+
+ \ifthenelse{\equal{#1}{3}}{
+ \begin{scope}[even odd rule]
+ \ifthenelse{\equal{#5}{1}}{
+ \clip (#2) circle (\DdimensioningBar+\DnormalLineWidth)
+ (#2)--(#3)--($(#3)!\DaddonLength+\DnormalLineWidth!-90:(#2)$)--($(#4)!\DaddonLength+\DnormalLineWidth!90:(#2)$)--(#4)-- cycle;
+ }{
+ \clip (#2)--(#3)--($(#3)!\DaddonLength+\DnormalLineWidth!-90:(#2)$)--($(#4)!\DaddonLength+\DnormalLineWidth!90:(#2)$)--(#4)-- cycle;
+ }
+ \draw [smallLine] (#2) circle (\DaddonLength)
+ (#2) circle (\DaddonLength-\DnormalLineWidth-\DnormalLineWidth);
+ \end{scope}
+ }{}
+
+}
+
+
+%================================================
+% Commands from 3dplot.sty by Jeff Hein 2009
+%================================================
+
+%------------------------------------------------
+% \tdplotsinandcos{sin}{cos}{theta}
+%------------------------------------------------
+%determines the sin and cos of the specified angle (in degrees).
+%#1: returns sin(#3)
+%#2: returns cos(#3)
+%#3: user-specified angle
+\newcommand{\tdplotsinandcos}[3]{%
+\pgfmathsetmacro{#1}{sin(#3)}%
+\pgfmathsetmacro{#2}{cos(#3)}%
+}
+
+%------------------------------------------------
+% \tdplotmult{result}{multiplicand}{multiplicator}
+%------------------------------------------------
+%determines the multiplication of specified values.
+%#1: returns #2*#3
+%#2: user-specified multiplicand
+%#3: user-specified multiplicator
+\newcommand{\tdplotmult}[3]{%
+\pgfmathsetmacro{#1}{#2*#3}%
+}
+
+%------------------------------------------------
+% \tdplotsetrotatedcoords{\alpha}{\beta}{\gamma}
+%------------------------------------------------
+%generates the coordinate transformation for the rotated coordinate system within the display coordinate system. This should be called only after the display coordinate system has been defined. If the display coordinate system changes, this will have to be updated.
+%#1: user-specified euler angle \alpha.
+%#2: user-specified euler angle \beta.
+%#3: user-specified euler angle \gamma.
+\newcommand{\tdplotsetrotatedcoords}[3]{%
+%
+\pgfmathsetmacro{\alphaeul}{#1}
+\pgfmathsetmacro{\betaeul}{#2}
+\pgfmathsetmacro{\gammaeul}{#3}
+%
+%perform some trig for the Euler transformation
+\tdplotsinandcos{\sinalpha}{\cosalpha}{\alphaeul}
+\tdplotsinandcos{\sinbeta}{\cosbeta}{\betaeul}
+\tdplotsinandcos{\singamma}{\cosgamma}{\gammaeul}
+%
+\tdplotmult{\sasb}{\sinalpha}{\sinbeta}
+\tdplotmult{\sbsg}{\sinbeta}{\singamma}
+\tdplotmult{\sasg}{\sinalpha}{\singamma}
+\tdplotmult{\sasbsg}{\sasb}{\singamma}
+%
+\tdplotmult{\sacb}{\sinalpha}{\cosbeta}
+\tdplotmult{\sacg}{\sinalpha}{\cosgamma}
+\tdplotmult{\sbcg}{\sinbeta}{\cosgamma}
+\tdplotmult{\sacbsg}{\sacb}{\singamma}
+\tdplotmult{\sacbcg}{\sacb}{\cosgamma}
+%
+\tdplotmult{\casb}{\cosalpha}{\sinbeta}
+\tdplotmult{\cacb}{\cosalpha}{\cosbeta}
+\tdplotmult{\cacg}{\cosalpha}{\cosgamma}
+\tdplotmult{\casg}{\cosalpha}{\singamma}
+%
+\tdplotmult{\cacbsg}{\cacb}{\singamma}
+\tdplotmult{\cacbcg}{\cacb}{\cosgamma}
+%
+%determine rotation matrix elements for Euler transformation
+\pgfmathsetmacro{\raaeul}{\cacbcg - \sasg}
+\pgfmathsetmacro{\rabeul}{-\cacbsg - \sacg}
+\pgfmathsetmacro{\raceul}{\casb}
+\pgfmathsetmacro{\rbaeul}{\sacbcg + \casg}
+\pgfmathsetmacro{\rbbeul}{-\sacbsg + \cacg}
+\pgfmathsetmacro{\rbceul}{\sasb}
+\pgfmathsetmacro{\rcaeul}{-\sbcg}
+\pgfmathsetmacro{\rcbeul}{\sbsg}
+\pgfmathsetmacro{\rcceul}{\cosbeta}
+%
+% transformation from polar coordinates to Cartesian coordinates
+\pgfmathsetmacro{\xxcart}{\DxLength*cos(\DxAngle)}
+\pgfmathsetmacro{\xycart}{\DxLength*sin(\DxAngle)}
+\pgfmathsetmacro{\yxcart}{\DyLength*cos(\DyAngle)}
+\pgfmathsetmacro{\yycart}{\DyLength*sin(\DyAngle)}
+\pgfmathsetmacro{\zxcart}{\DzLength*cos(\DzAngle)}
+\pgfmathsetmacro{\zycart}{\DzLength*sin(\DzAngle)}
+%
+\pgfmathsetmacro{\raarot}{\xxcart}
+\pgfmathsetmacro{\rbarot}{\xycart}
+\pgfmathsetmacro{\rabrot}{\yxcart}
+\pgfmathsetmacro{\rbbrot}{\yycart}
+\pgfmathsetmacro{\racrot}{\zxcart}
+\pgfmathsetmacro{\rbcrot}{\zycart}
+%
+%now, determine master rotation matrix to define euler-rotated coordinates within the display coordinate frame
+\tdplotmult{\raaeaa}{\raarot}{\raaeul}
+\tdplotmult{\rabeba}{\rabrot}{\rbaeul}
+\tdplotmult{\raceca}{\racrot}{\rcaeul}
+%
+\tdplotmult{\raaeab}{\raarot}{\rabeul}
+\tdplotmult{\rabebb}{\rabrot}{\rbbeul}
+\tdplotmult{\racecb}{\racrot}{\rcbeul}
+%
+\tdplotmult{\raaeac}{\raarot}{\raceul}
+\tdplotmult{\rabebc}{\rabrot}{\rbceul}
+\tdplotmult{\racecc}{\racrot}{\rcceul}
+%
+\tdplotmult{\rbaeaa}{\rbarot}{\raaeul}
+\tdplotmult{\rbbeba}{\rbbrot}{\rbaeul}
+\tdplotmult{\rbceca}{\rbcrot}{\rcaeul}
+%
+\tdplotmult{\rbaeab}{\rbarot}{\rabeul}
+\tdplotmult{\rbbebb}{\rbbrot}{\rbbeul}
+\tdplotmult{\rbcecb}{\rbcrot}{\rcbeul}
+%
+\tdplotmult{\rbaeac}{\rbarot}{\raceul}
+\tdplotmult{\rbbebc}{\rbbrot}{\rbceul}
+\tdplotmult{\rbcecc}{\rbcrot}{\rcceul}
+%
+%set up the master rotation matrix elements
+\pgfmathsetmacro{\raarc}{\raaeaa + \rabeba + \raceca}
+\pgfmathsetmacro{\rabrc}{\raaeab + \rabebb + \racecb}
+\pgfmathsetmacro{\racrc}{\raaeac + \rabebc + \racecc}
+\pgfmathsetmacro{\rbarc}{\rbaeaa + \rbbeba + \rbceca}
+\pgfmathsetmacro{\rbbrc}{\rbaeab + \rbbebb + \rbcecb}
+\pgfmathsetmacro{\rbcrc}{\rbaeac + \rbbebc + \rbcecc}
+%
+\tikzset{tdplot_rotated_coords/.append style={x={(\raarc cm,\rbarc cm)},y={(\rabrc cm, \rbbrc cm)},z={(\racrc cm, \rbcrc cm)}}}%
+}
+
+%------------------------------------------------
+% \tdplotsetrotatedcoordsorigin{point}
+%------------------------------------------------
+%this translates the rotated coordinate system to the specified point.
+%#1: user-specified coordinate
+\newcommand{\tdplotsetrotatedcoordsorigin}[1]{%
+%\pgfmathsetmacro{\tdplotrotatedcoordsorigin}{#1}%
+\tikzset{tdplot_rotated_coords/.append style={shift=#1}}%
+}
+
+%------------------------------------------------
+% \tdplotresetrotatedcoordsorigin
+%------------------------------------------------
+%this resets the rotated coordinate system translation back to the origin of the main coordinate system
+\newcommand{\tdplotresetrotatedcoordsorigin}{%
+%\pgfmathsetmacro{\tdplotrotatedcoordsorigin}{#1}%
+\tikzset{tdplot_rotated_coords/.append style={shift={(0,0,0)}}}%
+}
+
+%=============================================================================
+%%% Local Variables:
+%%% mode: latex
+%%% TeX-master: t
+%%% End:
+
+
+
+
+
+
generated by cgit v1.2.3 (git 2.39.1) at 2024-11-15 23:10:13 +0000