Although it is not common practice to reinforce only one side of a wood beam, this
sample problem illustrates many of the concepts encountered later in our discussion
of reinforced concrete beams.
In this problem, we have n ¼ Est=Ewd ¼ 20, which results in the transformed
section shown in Fig. (b), which is made of wood. The transformed section consists
of two rectangles with the areas Awd ¼ 150ð300Þ ¼ 45 103 mm2 and nAst ¼
20ð75 10Þ ¼ 15 103 mm2. The centroids of these areas are located at ywd ¼
150 þ 10 ¼ 160 mm and yst ¼ 10=2 ¼ 5 mm from the bottom of the section. The
centroidal coordinate y of the entire transformed section is given by (the common
factor 103 has been canceled)