Shearing Operation

Q. In shear cutting operation, a sheet of $5$ mm thickness is cut along a length of $200$ mm. The cutting blade is $400$ mm long (see figure) and zero-shear $S=0$ is provided on the edge. The ultimate shear strength of the sheet is $100$ MPa and penetration to thickness ratio is $0.2$. Neglect friction



Assuming force vs displacement curve to be rectangular, the work done (in J) is

1. $100$
2. $200$
3. $250$
4. $300$

Q. In shear cutting operation, a sheet of $5$ mm thickness is cut along a length of $200$ mm. The cutting blade is $400$ mm long (see figure) and zero-shear $S=0$ is provided on the edge. The ultimate shear strength of the sheet is $100$ MPa and penetration to thickness ratio is $0.2$. Neglect friction
A shear of $20$ mm ( S = $20$ mm) is now provided on the blade. Assuming force vs displacement curve to be trapezoidal, the maximum force (in kN) exerted is

1. $5$
2. $10$
3. $20$
4. $40$

Q. The thickness of the blank needed to produce, by power spinning a missile cone of thickness $1.5$ mm and half cone angle ${30}^o$

1. $3.0$ mm
2. $2.5$ mm
3. $2.0$ mm
4. $1.5$ mm