Question

A bracket plate 16 mm thick is used to transmit a reaction of 180 kN at an eccentricity of 100 mm from the column flanges as shown in the figure. The size of the fillet weld is 10 mm.


The equivalents stress (in MPa, rounded off to one decimal place) on the fillet weld along the vertical plane would be_____.

• A. 61.22
• B. 133.6
• C. 174.93
• D. 204.6

Answer 1

The correct option is D 204.6

$P=180kN,e=100mm$
$t_t=0.7S=0.7\times 10=7mm$
Shear stress due to direct force

$q=\frac{180\times {10}^3}{2\times 210\times 7}=61.22Mpa$

Normal stress due to bending

$f_b=\frac{My}{I}=\frac{Pe\times d/2}{2\times \frac{t_t{d}^3}{12}}$

$=\frac{180\times {10}^3\times 100\times 105}{2\times \frac{7\times (210{)}^3}{12}}=174.93Mpa$

Equivalent stress,
$f_e=\sqrt{f{b}^2+3q^2}=\sqrt{{174.93}^2+3\times {61.22}^2}$
$=204.558Mpa=204.6Mpa$