Question

A steel bar of $10\times 50mm$ is cantilevered with two $M12$ bolts (P and Q) to support a static load of $4kN$ as shown in the figure.

The resultant shear stress on bolt $P$ is closest to :

• A. $132MPa$
• B. $178MPa$
• C. $159MPa$
• D. $195MPa$

Answer 1

The correct option is C $159MPa$

Resultant shear load on bolt $P$
$R_P=20kN-2kN$
$=18kN$ (here $d=12mm$)
${\tau }_{max}=\frac{18\times {10}^3}{\frac{\pi }{4}(12{)}^2}=159MPa$