Rivets and bolts subjected to both shear stress $$\left( {{\tau _{vf}},\,cal} \right)$$ and axial tensile stress $$\left( {{\sigma _{tf,cal}}} \right)$$ shall be so proportioned that the stresses do not exceed the respective allowable stresses $${\tau _{vf,}}$$ and $${{\sigma _{tf,}}}$$ and the value of $$\left( {{{{\tau _{vf.cal}}} \over {{\tau _{vf}}}} + {{{\sigma _{tf,cal}}} \over {{\sigma _{tf}}}}} \right)$$ does not exceed

The maximum shear stress in a solid shaft of circular cross-section having diameter subjected to a torque $$T$$ is $$\tau $$ . If the torque is increased by four times and the diameter of the shaft is increased by two times, the maximum shear stress in the shaft will be

The stepped cantilever is subjected to moments, $$M$$ as shown in the figure below. The vertical deflection at the free end (neglecting the self weight) is

Beam $$GHI$$ is supported by these pontoons as shown in the figure below. The horizontal cross sectional area of each pontoon is $$8\,\,{m^2},$$ the flexural rigidity of the beam is $$10000$$ $$kN$$-$${m^2}$$ and the unit weight of water is $$10$$ $$kN$$/$${m^3}$$.

When the middle pontoon is removed, the deflection at $$H$$ will be