Question

The dimensions of a symmetrical welded I - Section are shown in the figure. The plastic section modulus about the weaker axis (upto one decimal place) is _______${\text{cm}}^3$.

• A. 95.23
• B. 57.57
• C. 114.1
• D. 132.63

Answer 1

The correct option is C 114.1

Weaker axis implies y - y axis.

$\therefore Z_{Py}=\frac{A}{2}(\overline{x_1}+\overline{x_2})$

$=\left[\frac{150\times 10}{2}\right(37.5+37.5\left)\right]\times 2+[\frac{(200-20)\times 6}{2}\times (\frac{3}{2}+\frac{3}{2})]$

$=112500+1620$

$=114120{\text{mm}}^3$

$=114.1{\text{cm}}^3$