From 8216a16d78d7aff5bc5a1607694ec3ea24eef64f Mon Sep 17 00:00:00 2001
From: Christian Kolset <christian.kolset@gmail.com>
Date: Mon, 28 Apr 2025 11:39:06 -0600
Subject: Updated tex files and pdf

---
 book/module1/array.tex | 18 ++++++++----------
 1 file changed, 8 insertions(+), 10 deletions(-)

(limited to 'book/module1/array.tex')

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}
-- 
cgit v1.2.3

