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 $${\sigma _p} = 200\,\,MPa,$$ allowable shear stress of the rivet $${\sigma _s} = 100\,\,MPa$$ and allowable bearing stress of the rivet $${\sigma _c} = 150\,\,MPa.$$

If the plates are to be designed to avoid tearing failure, the maximum permissible load $$P$$ in $$kN$$ is

A fillet welded joint is subjected to transverse loading F as shown in the figure. Both legs of the fillets are of $$10$$ $$mm$$ size and the weld length is $$30$$ $$mm.$$ If the allowable shear stress of the weld is $$94$$ $$MPa,$$ considering the minimum throat area of the weld, the maximum allowable transverse load in $$kN$$ is

A bracket shown in fig. is rigidly mounted on wall using four rivets. Each rivet is $$6mm$$ in diameter and has an effective length of $$12mm.$$

Direct shear stress in $$MPa$$ in the most heavily loaded rivet is

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

The resultant shear stress on rivet $$P$$ is closest to