Question

A bracket plate connected to a column flange transmits a load of 120 kN as shown in the figure. The maximum force for which the bolts should be designed is kN

• A. 169.34

Answer 1

The correct option is A 169.34

$F_1=\frac{120}{5}=24kN$
$F_2=\frac{P.e.r.}{\sum r^2}$
$=\frac{120\times 0.5\times (70\sqrt{2}\times {10}^{-3})}{(70\times \sqrt{2}{)}^2\times 4\times {10}^{-6}}$
= 151.52kN
$\theta ={45}^{\circ }$
$F_R=\sqrt{F_1^2+F_2^2+2F_1{F}_2\cos \theta }$
$=\sqrt{{24}^2+{151.52}^2+2\times 24\times 151.52\times \cos {45}^{\circ }}$
$=169.34kN$