Question

Find the centroid of the unequal angle 200 × 150 × 12 mm, shown in Fig. 

Answer 1

The given composite figure can be divided into two rectangles: 

A₁ = 150 × 12 = 1800 mm² 

A₂ = (200 – 12) × 12 = 2256 mm² 

Total area A = A₁ + A₂ = 4056 mm² 

Selecting the reference axis x and y as shown in Fig.  The centroid of A₁ is g₁ (75, 6) and that of A₂ is:

Thus, the centroid is at \(\bar x\) = 36.62 mm and \(\bar y\) = 61.62 mm as shown in the figure.