Question

A bracket has been attached to flange of a column as shown in the figure. What is the maximum force in the bolt is_____kN.

• A. 135
• B. 173.64
• C. 112.45
• D. 192.05

Answer 1

The correct option is B 173.64

Vertical shear force in bolt
$F_a=\frac{P-P}{n}=0$
Twisting moment (or) couple

M= 135 [150 + 150 ] = 40500 kN~mm

Maximum shear force in bolt due to M

$F_m=\frac{M.r}{\sum r^2}=\frac{40500\times \sqrt{{30}^2+{50}^2}}{4({30}^2+{50}^2)}$

$F_m=173.64kN$

Maximum Resultant shear force

$F_R=\sqrt{F^2+F_m^2+2F.F_m.cos\theta }$

$\therefore F_a=0$

$F_R=\sqrt{F_m^2+0}$

$F_R=F_m=173.64kN$