Clebsh example

The “Clebsh example”, a simple truss structure that A. Clebsh solved by the displacement method.

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
\documentclass[tikz,border=10pt]{standalone}
\usepackage{pgfplots}
\pgfplotsset{/pgf/number format/use comma,compat=1.16}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{stanli} % TikZ Library for Structural Analysis by Jurgen Hackl
\usetikzlibrary{calc,intersections,patterns}
\begin{document}
\begin{tikzpicture}[scale=1]
  %\draw [help lines] (0,0) grid [step=1] (8,9); %useful for construction
  % Coordinates system
  \draw (-2,3) node[below] {O};
  \draw[<->] (-1,3) node[right] {$x$}-|(-2,4) node[left]{$y$};
  %point
  \point{A}{2}{9};
  \point{B}{3}{4};
  \point{B'}{5}{5};
  \point{C}{0}{0};
  \point{D}{8}{1};
  %beams
  \beam{2}{A}{B}[0][0];
  \beam{2}{B}{C}[0][0];
  \beam{2}{B}{D}[0][0];
  \beam{3}{A}{B'};
  \beam{3}{B'}{C};
  \beam{3}{B'}{D};
  \notation{4}{A}{B}[1];
  \notation{4}{C}{B}[2][0.6];
  \notation{4}{D}{B}[3];
  %supports
  \support{3}{A}[180];
  \support{3}{C}[-45];
  \support{3}{D}[45];
  %hinges
  \hinge{1}{A}
  \hinge{1}{B}
  \hinge{1}{C}
  \hinge{1}{D}
  \hinge{1}{B'}
  %load force
 
 
הההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההה
XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX