# GATE ME 2013 | Question: 48

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

1. $7.50$
2. $15.00$
3. $22.50$
4. $30.00$

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