Question

A bracket plate connected to a column flange transmits a load of 150 kN as shown in the following figure. The maximum force for which the bolts should be designed is -

Answer 1

$\text{Direct force}{F}_D=\frac{150}{5}=30\text{kN}$

Torsional force,
$F_T=\frac{Per}{\sum r^2}=\frac{150\times {10}^3\times 750\times 80\sqrt{2}}{4\times (80\sqrt{2}{)}^2}$

$=248592.2\text{N}=248.59\text{kN}$

$\theta ={45}^{\circ }$
$\Rightarrow$ Resultant force,
$F_R=\sqrt{(30{)}^2+(248.59{)}^2+2\left(30\right)\left(248.59\right)\cos {45}^{\circ }}$
$=270.64\text{kN}$