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%\usepackage{opensans}          % Can't make this work so far. Shame. Would be lovely.
\usepackage[normalem]{ulem}     % For underlining links
% Most of the following are not required for the majority
% of cheat sheets but are needed for some symbol support.
\usepackage{amsmath}            % Symbols
\usepackage{MnSymbol}           % Symbols
\usepackage{wasysym}            % Symbols
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% Document Info
\author{Gladyzz}
\pdfinfo{
  /Title (strength-of-materials.pdf)
  /Creator (Cheatography)
  /Author (Gladyzz)
  /Subject (Strength of Materials Cheat Sheet)
}

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% Commands
\newcommand{\SetRowColor}[1]{\noalign{\gdef\RowColorName{#1}}\rowcolor{\RowColorName}} % Shortcut for row colour
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% Header and Footer
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\fancyhead{} % Set header to blank
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\fancyhead[L]{
\noindent
\begin{multicols}{3}
\begin{tabulary}{5.8cm}{C}
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    \vspace{-7pt}
    {\parbox{\dimexpr\textwidth-2\fboxsep\relax}{\noindent
        \hspace*{-6pt}\includegraphics[width=5.8cm]{/web/www.cheatography.com/public/images/cheatography_logo.pdf}}
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\columnbreak
\begin{tabulary}{11cm}{L}
    \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{Strength of Materials Cheat Sheet}}}} \\
    \normalsize{by \textcolor{DarkBackground}{Gladyzz} via \textcolor{DarkBackground}{\uline{cheatography.com/178337/cs/48578/}}}
\end{tabulary}
\end{multicols}}

\fancyfoot[L]{ \footnotesize
\noindent
\begin{multicols}{3}
\begin{tabulary}{5.8cm}{LL}
  \SetRowColor{FootBackground}
  \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}}  \\
  \vspace{-2pt}Gladyzz \\
  \uline{cheatography.com/gladyzz} \\
  \end{tabulary}
\vfill
\columnbreak
\begin{tabulary}{5.8cm}{L}
  \SetRowColor{FootBackground}
  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}}  \\
   \vspace{-2pt}Not Yet Published.\\
   Updated 6th November, 2026.\\
   Page {\thepage} of \pageref{LastPage}.
\end{tabulary}
\vfill
\columnbreak
\begin{tabulary}{5.8cm}{L}
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  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Sponsor}}  \\
  \SetRowColor{white}
  \vspace{-5pt}
  %\includegraphics[width=48px,height=48px]{dave.jpeg}
  Measure your website readability!\\
  www.readability-score.com
\end{tabulary}
\end{multicols}}




\begin{document}
\raggedright
\raggedcolumns

% Set font size to small. Switch to any value
% from this page to resize cheat sheet text:
% www.emerson.emory.edu/services/latex/latex_169.html
\footnotesize % Small font.

\begin{multicols*}{4}

\begin{tabularx}{3.833cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Strain - Stress Graph}}  \tn
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\mymulticolumn{1}{p{3.833cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/gladyzz_1793960347_images.jpeg}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{3.833cm}}{Slope of the curve is Young's Modulus \newline Young's Modulus (E) = Δσ / Δε \newline Perfectly Elastic Bodies retain their shape in elastic region}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{3.833cm}{x{1.7165 cm} x{1.7165 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{Rigid vs Plastic Bodies}}  \tn
% Row 0
\SetRowColor{LightBackground}
Perfect Rigid body an ideal physical model of a solid object that does not deform, bend, stretch, or change shape in any way when forces or torques are applied to it & Perfectly Plastic Body does not regain its original shape or size at all when an external deforming force is removed, remaining permanently deformed \tn 
% Row Count 9 (+ 9)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
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\par\addvspace{1.3em}

\begin{tabularx}{3.833cm}{X}
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\mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Static Equilibrium Equation}}  \tn
\SetRowColor{white}
\mymulticolumn{1}{x{3.833cm}}{∑ F\textasciitilde{}x\textasciitilde{} = 0 ; ∑ F\textasciitilde{}y\textasciitilde{} = 0 ; ∑ F\textasciitilde{}z\textasciitilde{} = 0 ;  \newline % Row Count 1 (+ 1)
∑ M\textasciitilde{}x\textasciitilde{} = 0 ; ∑ M\textasciitilde{}y\textasciitilde{} = 0 ; ∑ M\textasciitilde{}z\textasciitilde{} = 0 ;% Row Count 2 (+ 1)
} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{3.833cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Assumptions in SOM}}  \tn
\SetRowColor{white}
\mymulticolumn{1}{x{3.833cm}}{1. Material is said to be {\bf{Homogeneous \& Isotropic}} \newline % Row Count 2 (+ 2)
2. Material obeys {\bf{Hooke's Law (Assume to be within stress \& strain region)}} \newline % Row Count 4 (+ 2)
3. Member is assumed to be {\bf{prismatic (Cross section \& dimensions are assumed to be same through the length)}} \newline % Row Count 7 (+ 3)
4. Load is assumed to be static load \newline % Row Count 8 (+ 1)
{\bf{5. Self weight of the component is neglected}} \newline % Row Count 9 (+ 1)
6. Member is assumed to be under static equation% Row Count 10 (+ 1)
} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{3.833cm}}{{\bf{Homogeneous}} : A material is said to be homogeneous when it exhibits same elastic properties at any point in a given direction \newline {\bf{Isotropic}}:A material is said to be isotropic when it exhibits same elastic properties in any direction. \newline {\emph{Every Homogeneous material need not be isotropic \& vice versa}} \newline {\bf{Anisotropic}} : A material is said to be anisotropic when it exhibits direction dependent elastic properties}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{3.833cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Classification of Loads - Application}}  \tn
\SetRowColor{white}
\mymulticolumn{1}{x{3.833cm}}{With Respect to Time :  \newline % Row Count 1 (+ 1)
1. {\bf{Static Load}} - Dead Load \& Gradually Applied Load \newline % Row Count 3 (+ 2)
2. {\bf{Dynamic Load}} - Impact / Shock / Suddenly Applied Load \newline % Row Count 5 (+ 2)
With Respect to Cross Section :  \newline % Row Count 6 (+ 1)
1. {\bf{Normal Load}} - Axial Loads \& Eccentric Axial Load \newline % Row Count 8 (+ 2)
2. {\bf{Shear Load}} - Transverse Shear load \& Eccentric transverse load \newline % Row Count 10 (+ 2)
With Respect to distribution load :  \newline % Row Count 11 (+ 1)
1. {\bf{Distributed Load}}  \newline % Row Count 12 (+ 1)
       - Uniformly Distributed Load \newline % Row Count 13 (+ 1)
       - Uniformly varying Load \newline % Row Count 14 (+ 1)
       - Uniformly Distributed Moment \newline % Row Count 15 (+ 1)
2. {\bf{Concentrated Load}} \newline % Row Count 16 (+ 1)
       -  Concentrated Point Load \newline % Row Count 17 (+ 1)
       -  Concentrated Moments% Row Count 18 (+ 1)
} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}


% That's all folks
\end{multicols*}

\end{document}