A single riveted lap joint of two similar plates as shown in the figure below has the following geometrical and material details.
width of the plate w = $200$ $mm$, thickness of the plate $t$ = $5$ $mm$, number of rivets $n$ = $3$, diameter of the rivet $d_r$ = $10$ $mm$, diameter of the rivet hole $d_h$ = $11$ $mm$, allowable tensile stress of the plate $σ_p$ = $200$ $MPa$, allowable shear stress of the rivet $σ_s$ = $100$ $MPa$ and allowable bearing stress of the rivet $σ_c$ = $150$ $MPa$.
If the rivets are to be designed to avoid crushing failure, the maximum permissible load $P$ in $kN$ is
- $7.50$
- $15.00$
- $22.50$
- $30.00$
