Question

The compact section of a laterally unsupported steel beam has elastic section modulus, plastic section modulus and design bending compressive stress of
$500c{m}^3,650c{m}^{3}and220MPa\text{respectively.}$
The design flexural capacity of the section is __________ kNm.

Answer 1

$M_d=\beta Z_p\times \frac{f_y}{{\gamma }_{m_0}}$

$\because \beta =1$

$\frac{f_y}{{\gamma }_{m_0}}\text{= design bending compressive stress}$

$=220Mpa\left(given\right)$

$\therefore M_d=1\times 650\times {10}^3\times 220\times {10}^{-6}kNm$

$\Rightarrow$ $M_d=143kNm$