Graphics, Figures & Tables ⇒ TikZ: \foreach applied to rotated axes

[Sundial]

Arrows _improperly_ drawn. Instead of along the new axis z, TikZ places them over x-axis. Where is my fault? Thanks in advance for the appropriate drifts.

Code: Select all

% --------- inc.tex --------- Apr.23,2015 ---------
\documentclass{article}
\usepackage{tikz}             

\usepackage[active,tightpage]{preview}
\PreviewEnvironment{center}
\setlength\PreviewBorder{10pt}%

\tikzstyle{load}   = [thick,-latex]
\tikzstyle{stress} = [-latex]
\tikzstyle{dim}    = [latex-latex]
\tikzstyle{axis}   = [-latex,blue!55]

\tikzstyle{two}=[x={(1cm,0cm)},y={(0cm,1cm)}]
\tikzstyle{three}=[x={(0.5547cm,0.83205cm)},y={(-0.83205cm,0.5547cm)}]

\begin{document}
\begin{center}
  \begin{tikzpicture}
    \coordinate (O) at (0,0);
     \draw[axis,two] (O) -- ++(5.5,0) node[right] {$x$};
     \draw[axis,two] (O) -- ++(0,5) node[above] {$y$};
%
% Contour
  \draw[red] (-0.83205,0.5547) -- (2,3); % triangular load shape
  \draw[red] (-0.83205,0.5547) -- (0,0); % ditto
    
    \draw[ultra thick] (0,0) -- ++(2,3);  % beam-1-inclined
    \draw[ultra thick] (2,3) -- ++(2,0);  % beam-2-horizontal
%   
    \draw[dim] (4.5,0) -- ++(0,3) node[midway,right] {$h$}; % column dimension
    \draw (4.25,3) -- ++(0.5,0); 
%    
    \draw[dim] (0,-0.5) -- ++(4,0) node[midway,above] {$\ell$}; % beam dimension
    \draw (4,-0.75) -- ++(0,0.5); 
    \draw (0,-0.75) -- ++(0,0.5); 
%
 \draw[dim] (0,4) -- ++(2,0) node[midway,above] {$\ell_1$};
 \draw[dim] (2,4) -- ++(2,0) node[midway,above] {$\ell_2$}; 
 \draw (2,3.75) -- ++(0,0.5);
 \draw (4,3.75) -- ++(0,0.5);

% ==================== Rotated axes ====================================
%^^^^^^^^^^^^^^^^^^^^^ 
 \draw[axis,three] (O) -- ++(4.5,0) node[right] {$z$};
 \draw[axis,three] (O) -- ++(0,2) node[above] {$w$};  
%^^^^^^^^^^^^^^^^^^^^^ 

% Tentative to fill red triangle with group of arrows
% up to now _improperly_ drawn: on x-axis instead of z-axis
\foreach \z in {0,0.25,...,3.0} {%
\draw[-latex] (\z,-1/3.605*\z + 1) -- (\z,0);}
% 
\end{tikzpicture} %
\end{center}
\end{document}
% ---- EOF: inc.tex ----

[Stefan Kottwitz]

Nice to see another TikZ question!

It's easy to shift and rotate with TiKZ. Here I simply apply a rotation and it visually fits:

Code: Select all

\foreach \z in {0,0.25,...,3.0} {%
\draw[-latex,rotate=56] (\z,-1/3.605*\z + 1) -- (\z,0);}

rotation.png (15.69 KiB) Viewed 8197 times

Stefan

[Sundial]

Wow, Stefan! So great and useful. Thank you very much

[Sundial]

Hi,Stefan,just to upload the whole code after your precious drifts and ask you a further (and last, no more, believe me) question: how to translate the att'd figure from (0,0) to (2,3), coordinates of left-bottom point. Thx&cheers

Code: Select all

% --------- inc.tex --------- Apr.23,2015 ---------
\documentclass{article}
\usepackage{tikz}             

\usepackage[active,tightpage]{preview}
\PreviewEnvironment{center}
\setlength\PreviewBorder{10pt}%

\tikzstyle{load}   = [thick,-latex]
\tikzstyle{stress} = [-latex]
\tikzstyle{dim}    = [latex-latex]
\tikzstyle{axis}   = [-latex,blue!55]

\tikzstyle{two}=[x={(1cm,0cm)},y={(0cm,1cm)}]
\tikzstyle{three}=[x={(0.5547cm,0.83205cm)},y={(-0.83205cm,0.5547cm)}]

\begin{document}
\begin{center}
  \begin{tikzpicture}
    \coordinate (O) at (0,0);
     \draw[axis,two,dashed] (O) -- ++(5.5,0) node[right] {$x$};
     \draw[axis,two,dashed] (O) -- ++(0,5) node[above] {$y$};
%
% Draw structural elements
    \draw[ultra thick] (0,0) -- ++(2,3);  % beam-1-inclined
    \draw[ultra thick] (2,3) -- ++(2,0);  % beam-2-horizontal
%          
% ============= Create Arrows and Rotate to inclined beam ==============
\foreach \z in {0,0.25,...,3.0} {%
\draw[-latex,rotate=56.31] (\z,-1/3.6055*\z + 1) -- (\z,0);}
% Contour
 \draw[red,rotate=56.31] (0,1) -- (3.60,0); % triangular load shape
% ====================================================================== 
%   
    \draw[dim] (4.5,0) -- ++(0,3) node[midway,right] {$h$}; % column dimension
    \draw (4.25,3) -- ++(0.5,0); 
    \draw (4.25,0) -- ++(0.5,0);
%    
    \draw[dim] (0,-0.5) -- ++(4,0) node[midway,above] {$\ell$}; % beam dimension
    \draw (4,-0.75) -- ++(0,0.5); 
    \draw (0,-0.75) -- ++(0,0.5); 
%
 \draw[dim] (0,4) -- ++(2,0) node[midway,above] {$\ell_1$};
 \draw[dim] (2,4) -- ++(2,0) node[midway,above] {$\ell_2$}; 
 \draw (0,3.75) -- ++(0,0.5);
 \draw (2,3.75) -- ++(0,0.5);
 \draw (4,3.75) -- ++(0,0.5);
% 
\end{tikzpicture} %
\end{center}
\end{document}
% ---- EOF: inc.tex ----

[Stefan Kottwitz]

ask you a further (and last, no more, believe me) question

I would be disappointed! I hope for more interesting questions. Questions are the blood in the heart of the forum. No questions, no life. No answers, nothing to find for people googling for help.

how to translate the att'd figure from (0,0) to (2,3), coordinates of left-bottom point.

You could use a scope with shift, such as

Code: Select all

\begin{scope}[xshift=2cm, yshift=3cm]
...
\end{scope}

Stefan

[Sundial]

Superb, Stefan, as per code attachment. So, being my "blood flowing" around the interesting matter, could you please let me know how may I perform the rotation shown in the figure? Thanks again.

Code: Select all

% --------- shi.tex --------- Apr.24,2015 ---------
\documentclass{article}
\usepackage{tikz}             

\usepackage[active,tightpage]{preview}
\PreviewEnvironment{center}
\setlength\PreviewBorder{10pt}%

\tikzstyle{load}   = [thick,-latex]
\tikzstyle{stress} = [-latex]
\tikzstyle{dim}    = [latex-latex]
\tikzstyle{axis}   = [-latex,blue!55]

\tikzstyle{two}=[x={(1cm,0cm)},y={(0cm,1cm)}]
\tikzstyle{three}=[x={(0.5547cm,0.83205cm)},y={(-0.83205cm,0.5547cm)}]

\begin{document}
\begin{center}
  \begin{tikzpicture} [two]
    \coordinate (O) at (0,0);
     \draw[axis,two,dashed] (O) -- ++(5.5,0) node[right] {$x$};
     \draw[axis,two,dashed] (O) -- ++(0,5) node[above] {$y$};
%
% Draw structural elements
    \draw[ultra thick] (0,0) -- ++(2,3);  % beam-1-inclined
    \draw[ultra thick] (2,3) -- ++(2,0);  % beam-2-horizontal
%          
% ============= Create Arrows and Rotate to inclined beam ==============
\foreach \z in {0,0.25,...,3.0} {%
\draw[-latex,rotate=56.31] (\z,-1/3.6055*\z + 1) -- (\z,0);}
% Contour
 \draw[red,rotate=56.31] (0,1) -- (3.60,0); % triangular load shape
% ====================================================================== 
% ============== Group translated ============
\begin{scope}[xshift=2cm, yshift=3cm]
\foreach \z in {0,0.25,...,1.5} {%
\draw[-latex] (\z,-1/2*\z + 1) -- (\z,0);}
% Contour
 \draw[red] (0,1) -- (2,0);  %-- (0,0) ;
\end{scope}
% ============================================

%   
    \draw[dim] (4.5,0) -- ++(0,3) node[midway,right] {$h$}; % column dimension
    \draw (4.25,3) -- ++(0.5,0); 
    \draw (4.25,0) -- ++(0.5,0);
%    
    \draw[dim] (0,-0.5) -- ++(4,0) node[midway,above] {$\ell$}; % beam dimension
    \draw (4,-0.75) -- ++(0,0.5); 
    \draw (0,-0.75) -- ++(0,0.5); 
%
 \draw[dim] (0,4.5) -- ++(2,0) node[midway,above] {$\ell_1$};
 \draw[dim] (2,4.5) -- ++(2,0) node[midway,above] {$\ell_2$}; 
 \draw (0,4.25) -- ++(0,0.5);
 \draw (2,4.25) -- ++(0,0.5);
 \draw (4,4.25) -- ++(0,0.5);
% 
\end{tikzpicture} %
\end{center}
\end{document}
% ---- EOF: shi.tex ----

[Stefan Kottwitz]

TikZ can rotate around any point, by adding the rotate around={<angle>:<coordinate>} option to \draw, \path or to a scope, for example. Like this:

Code: Select all

\begin{scope}[rotate around={45:(2,3)}] 
 ...
\end{scope}

So you just need to find point and angle. You can combine with xshift and yshift or shift.

Stefan

[Sundial]

So beautiful, Stefan! The att'd figure (upper side) is my first tentative to apply the highly suitable TikZ command you kindly suggested me, while the lower part shows what I wish to reach in the near future.
When I obtain some results, I hope to issue them (files .tex, I mean) with pleasure in this forum platform.
Thanks a lot and best wishes.