Question

Locate the centroid of the T-section shown in the Fig.

Answer 1

Selecting the axis as shown in Fig. we can say due to symmetry centroid lies on y axis, i.e. x = 0. 

Now the given T-section may be divided into two rectangles 

A₁ and A₂ each of size 100 × 20 and 20 × 100. The centroid of A₁ and A₂ are g₁(0, 10) and g₂(0, 70) respectively. 

∴ The distance of centroid from top is given by:

\(\bar y\) = \(\frac{100\times20\times10+20\times100\times70}{100\times20+20\times100}\)

= 40 mm

Hence, centroid of T-section is on the symmetric axis at a distance 40 mm from the top.