Question $2$: Two plates are fastened using a bolt and are under application of load $F,$ as shown in figure.

Assume

Bolt and plates are of same material

$($Yield strength $=60\frac{N}{m}{m}^2)$

E $($Young$\text{'}$s Modulus for elasticity$)=100\frac{N}{m}{m}^2$

Stress produced in bolt under these loading $=50\frac{N}{m}{m}^2$

$F=1000N$

For plate; Length $(L)=85mm,$ Width $(W)=30mm,$ Thickness $(t)=10mm$

Take

$=E$

$=\frac{F}{A}$

$=\frac{L}{L}$

FOS $=$ Strengt$\frac{h}{S}$tress

Answer following

a$)$ What type of stresses will be produced in bolt, also state if bolt is yielding?

b$)$ Formulate to find tensile stresses and strain produced in plates and diameter of bolt.

c$)$ Calculate Factor of safety $($FOS$)$ for plate and bolt. Finally, state if overall design is safe under this load or no$?$