Question

The shape factor of the section shown in figure is

• A. 2

Answer 1

The correct option is A 2

Shape factor, $S=\frac{Z_P}{Z_y}$
Where, $Z_y=\frac{I_{xx}}{y}=\frac{I_{xx}}{h}$
and, $I_{xx}=2\times \frac{b{h}^3}{12}=\frac{b{h}^3}{6}$
$\therefore Z_y=\frac{I_{xx}}{h}=\frac{b{h}^2}{6}$
$Z_P=A_1\overline{y_1}+A_2\overline{y_2}$
$=2\times \frac{1}{2}\times bh\times \frac{h}{3}=\frac{b{h}^2}{3}$
$\therefore$ Shape factor, $S=\frac{\frac{b{h}^2}{3}}{\frac{b{h}^2}{6}}=2$