Question

A rolled I-section beam is supported on a 125 mm wide bearing plate as shown in the figure. The relevant properties of the section are: Depth of section, h = 300 mm
Width of flange,
$b_f=165mm$
Thickness of flange,
$t_f=11.4mm$
Thickness of Web
$t_w=7.4mm$
Radius at root R = 16 mm
Assuming material yield strength,
$f_y=250MPa$,
design compressive stress for web.
$f_{cd}=111.55MPa$,
and partial safety factor for material,
${\gamma }_{m0}=1.10$


As per IS : 800-2007, the web buckling strength (in kN, round off to two decimal places) of the beam is____

• A. 227.004

Answer 1

The correct option is A 227.004

$x=\frac{h}{2}=\frac{300}{2}=150mm$

Cross-sectional area of web for buckling

$A_b=B\times t_w=(b+x)\times t_w$

$=(125+150)\times 7.4$

$=2035{mm}^2$

$\text{Web buckling strength}=A_b\times f_{cd}$

$=2035m{m}^2\times 111.55N/m{m}^2$

$=227.004kN$