Question

A 16 mm thick gusset plate is connected to the 12 mm thick flange plate of an I-section using fillet welds on both sides as shown in the figure (not drawn to scale). The gusset plate is subjected to a point load of 350 kN acting at a distance of 100 mm from the flange plate. Size of fillet weld is 10 mm.


The maximum resultant stress (in MPa, round off to 1 decimal place) on the fillet weld along the vertical plane would be ___.

Answer 1

Given data :
Thickness of gusset plate (t) = 16 mm
Point load (P) = 350 KN
Eccentricity (e) = 100 mm

Throat thickness,
$=0.7S=0.7\times 10=7mm$

Direct shear stress,
$q=\frac{P}{2ht}$

$q=\frac{350\times {10}^3}{2\times 500\times 7}$

$q=50N/m{m}^2$

And bending stress on the extreme edge of weld (f)

$f=\frac{M}{Z}=\frac{3P.e}{t{h}^2}$

$f=\frac{3\times 350\times {10}^3\times 100}{7\times {500}^2}$

$\Rightarrow f=60N/m{m}^2$

Resultant Stress,
$f_e=\sqrt{f^2+3q^2}$
$=105.36N/m{m}^2$