Determine the load required to punch a $$20$$ $$mm$$ diameter hole in $$2$$ $$mm$$ thick sheet. The properties of the material of the sheet are:
Tensile strength $$-580$$ $$MPa;$$
Yield strength in tension $$-410$$ $$MPa$$
Shear strength $$-350$$ $$MPa;$$
Yield strength in shear $$-250$$ $$MPa$$

The load in $$kN$$ is:

A cylindrical cup of $$48.5$$ $$mm$$ diameter and $$52$$ $$mm$$ height has a corner radius of $$1.5$$ $$mm$$ Cold rolled steel sheet of thickness $$1.5$$ $$mm$$ is used to produce the cup. Assume trim allowance as $$2$$ $$mm$$ per $$25$$ $$mm$$ of cup diameter. What is the blank size in $$mm$$ ?

The extrusion process(es) used for the production of toothpaste tubes is / are

$$1.$$ Tube extrusion
$$2.$$ Forward extrusion
$$3.$$ Impact extrusion

In an interchangeable assembly, a shaft of $${20.00^{\matrix{ { - 0.015} \cr { - 0.005} \cr } }}\,\,mm$$ diameter and a hole of $${20.00^{\matrix{ { - 0.025} \cr { - 0.010} \cr } }}\,\,mm$$ diameter form a mating pair. In the worst assembly conditions, the clearance between them will be