For the three bolt system shown in the figure, the bolt material has shear yield strength of $$200$$ $$MPa.$$ For a factor of safety of $$2,$$ the minimum metric specification required for the bolt is

A bolt of major diameter $$12$$ $$mm$$ is required to clamp two steel plates. Cross sectional area of the threaded portion of the bolt is $$84.3$$ $$m{m^2}$$ . The length of the threaded portion in grip is $$30$$ $$mm,$$ while the length of the unthreaded portion in grip is $$8$$ $$mm.$$ Young's modulus of material is $$200$$ $$GPa.$$ The effective stiffness (in $$MN/m$$) of the bolt in the clamped zone is _______.

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 rivets are to be designed to avoid crushing failure, the maximum permissible load $$P$$ in $$k/N$$ is

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