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Diffstat (limited to 'book/module1/array.tex')
| -rw-r--r-- | book/module1/array.tex | 18 |
1 files changed, 8 insertions, 10 deletions
diff --git a/book/module1/array.tex b/book/module1/array.tex index c9fc302..c79c6c0 100644 --- a/book/module1/array.tex +++ b/book/module1/array.tex @@ -220,17 +220,17 @@ arrays - Concatenation: \texttt{np.concatenate((arr1,\ arr2),\ axis=0)} Let's solve a statics problem given the following problem -A simply supported bridge of length L=20L = 20L=20 m is subjected to -three point loads: +A simply supported bridge of length L = 20 m is subjected to three point +loads: \begin{itemize} \tightlist \item - \(P1=10P_1 = 10P1=10 kN\) at \(x=5x = 5x=5 m\) + \(P_1 = 10 kN\) at \(x = 5 m\) \item - \(P2=15P_2 = 15P2=15 kN\) at \(x=10x = 10x=10 m\) + \(P_2 = 15 kN\) at \(x = 10 m\) \item - \(P3=20P_3 = 20P3=20 kN\) at \(x=15x = 15x=15 m\) + \(P_3 = 20 kN\) at \(x = 15 m\) \end{itemize} The bridge is supported by two reaction forces at points AAA (left @@ -245,13 +245,13 @@ point must be zero. \tightlist \item \textbf{Sum of Forces in the Vertical Direction}: - \(RA+RB−P1−P2−P3=0R_A + R_B - P_1 - P_2 - P_3 = 0RA+RB−P1−P2−P3=0\) + \(R_A + R_B - P_1 - P_2 - P_3 = 0\) \item \textbf{Sum of Moments About Point A}: - \(5P1+10P2+15P3−20RB=05 P_1 + 10 P_2 + 15 P_3 - 20 R_B = 05P1+10P2+15P3−20RB=0\) + \(5 P_1 + 10 P_2 + 15 P_3 - 20 R_B = 0\) \item \textbf{Sum of Moments About Point B}: - \(20RA−15P3−10P2−5P1=020 R_A - 15 P_3 - 10 P_2 - 5 P_1 = 020RA−15P3−10P2−5P1=0\) + \(20 R_A - 15 P_3 - 10 P_2 - 5 P_1 = 0\) \end{enumerate} \subparagraph{System of Equations:}\label{system-of-equations} @@ -260,8 +260,6 @@ point must be zero. \begin{cases} R_A + R_B - 10 - 15 - 20 = 0 \\ 5(10) + 10(15) + 15(20) - 20 R_B = 0 \\ 20 R_A - 5(10) - 10(15) - 15(20) = 0 \end{cases} -⎩ - \subsubsection{Solution}\label{solution} \begin{Shaded} |