Question

A rectangular steel bar of length 500 mm, width 100 mm, and thickness 15 mm is cantilevered to a 200 mm steel channel using 4 bolts as shown.


For an external load of 10 kN applied at the tip of the steel bar, the resultant shear load on the bolt at B, is (round off to one decimal place).

• A. 16.005

Answer 1

The correct option is A 16.005
Primary tensile force,

$F_p=\frac{10}{4}=2.5kN$

Ecentricity, $e=400mm$

$r=\sqrt{{50}^2+{50}^2}=50\sqrt{2}mm$


Secondary tensile force,

$F_A=F_B=F_C=F_D$

$\frac{P\times e}{4\times r^2}=\frac{10\times 400}{4\times 50\sqrt{2}}=14.14kN$

Resultant force at $B$,

$B=\sqrt{F^{2}p+F_B^2+2f_B.f_p\times \cos {45}^{\circ }}$

$Re{s}_B=\sqrt{{14.14}^2+{2.5}^2+2\left(14.14\right)\left(2.5\right)\cos 45}$

$=16.005kN$