Determine the moment of inertia of a rectangular beam with a width of 10 cm and a height of 20 cm.
Solution
The moment of inertia (I) of a rectangular beam is given by the formula:
\( I = \frac{1}{12} \times b \times h^3 \)
where \( b \) is the width and \( h \) is the height.
Substituting the values:
\( I = \frac{1}{12} \times 10 \times (20^3) = 6666.67 \, \text{cm}^4 \)
