A $$50$$ $$mm$$ diameter disc is to be punched out from a carbon steel sheet $$1.0$$ $$mm$$ thick. The diameter of the punch should be (Take clearance as $$3\% $$ of sheet thickness)

The fit on a hole-shaft system is specified as $$H7$$-$$s6.$$ The type of fit is

If the two principal strains at a point are 1000 $$ \times $$ 10^-6 and -600 $$ \times $$ 10^-6, then the maximum shear strain is

Two bars AB and BC are connected by a frictionless hinge at B. The assembly is supported and loaded as shown in Fig. Draw the shear force and bending moment diagrams for the combined beam AC, clearly labeling the important values. Also indicate your sign convention.