Structural analysis of three different torsional problem, created with TikZ using the 3Dstructuralanalysis package.
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% Shear torsion % Author: Marco Castelli \documentclass[border=10pt]{standalone} \usepackage{3Dstructuralanalysis} \begin{document} \begin{tikzpicture}[coords] % Points \dpoint{a}{0}{0}{0}; \dpoint{b}{0}{3.8}{0}; \dpoint{c}{0}{0}{0.3}; \dpoint{d}{0}{0.6}{0.3}; \dpoint{e}{0}{-0.8}{0.3}; % Torsiona supports and beam \dsupport{3}{a}[0][0][1]; \dhinge{3}{a}[0]; \dsupport{3}{b}[0][0][1]; \dhinge{3}{b}[0]; \dbeam{1}{a}{b}; % Loads acting on the edge \dload{4}{c}[90][90][1][0.1]; \dload{4}{c}[90][90][-1][-0.3]; % Notations \dnotation{1}{d}{$M_t$}[above left]; \dnotation{1}{e}{$M_t$}[above left]; \dnotation{2}{a}{}[below right]; \end{tikzpicture} % \begin{tikzpicture}[coords] % Points \dpoint{a}{0}{0}{0}; \dpoint{b}{0}{3.8}{0}; \dpoint{c}{0}{0.5}{0}; \dpoint{d}{0}{0}{0.3}; \dpoint{e}{0}{0.5}{0.3}; \dpoint{f}{0}{-0.8}{0.3}; \dpoint{g}{0}{1.4}{0.3}; % Torsiona supports and beam \dsupport{3}{a}[0][0][1]; \dhinge{3}{a}[0]; \dsupport{3}{b}[0][0][1]; \dhinge{3}{b}[0]; \dbeam{1}{a}{b}; % Load applied on the support and one load % at a 't' distance from the edge \dload{4}{e}[90][90][1][0]; \dload{4}{d}[90][90][-1][-0.3]; % Notations and dimensioning \dnotation{1}{f}{$M_t$}[above left]; \dnotation{1}{g}{$M_t$}[above left]; \dnotation{2}{c}{}[below right]; \ddimensioning{yz}{a}{c}{0.8}[$t$]; \end{tikzpicture} % \begin{tikzpicture}[coords] % Points \dpoint{a}{0}{0}{0}; \dpoint{b}{0}{3.8}{0}; \dpoint{c}{0}{0}{0.3}; \dpoint{d}{0}{-0.8}{0.3}; \dpoint{e}{0}{0}{0.3}; \dpoint{f}{0}{0.8}{0.3}; \dpoint{g}{0}{1.6}{0.3}; \dpoint{h}{0}{2.4}{0.3}; \dpoint{i}{0}{3.2}{0.3}; % Torsiona supports and beam \dsupport{3}{a}[0][0][1]; \dhinge{3}{a}[0]; \dsupport{3}{b}[0][0][1]; \dhinge{3}{b}[0]; \dbeam{1}{a}{b}; % Load applied on the support and one % distibuited load along the whole beam \dload{4}{c}[90][90][-1][-0.3]; \dload{4}{e}[90][90][0.7][0]; \dload{4}{f}[90][90][0.7][0]; \dload{4}{g}[90][90][0.7][0]; \dload{4}{h}[90][90][0.7][0]; \dload{4}{i}[90][90][0.7][0]; % Notations \dnotation{1}{h}{$m_t$}[above left]; \dnotation{1}{d}{$M_t$}[above left]; \end{tikzpicture} \end{document}
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