Q.2 Calculate the force required to punch acircular blank of 60 mm dia...
Calculation of Punching Force for Circular Blank
To calculate the force required for punching a circular blank in a plate, we need to consider the following factors:
- Diameter of the circular blank (d) = 60 mm
- Thickness of the plate (t) = 5 mm
- Ultimate shear stress of the plate (σu) = 50 N/mm2
Formula for Punching Force
The formula used to calculate the punching force is:
F = A x σu x t
- F = Punching force (N)
- A = Area of the circular blank (mm2)
- σu = Ultimate shear stress of the plate (N/mm2)
- t = Thickness of the plate (mm)
Calculation of Area of the Circular Blank
The area of the circular blank can be calculated using the formula:
A = π x (d/2)2
- π = 3.14
- d = Diameter of the circular blank (mm)
Substituting the values, we get:
A = 3.14 x (60/2)2 = 2827 mm2
Calculation of Punching Force
Now, substituting the values of A, σu and t in the formula for punching force, we get:
F = A x σu x t
F = 2827 x 50 x 5 = 706750 N
Conclusion
Therefore, the force required to punch a circular blank of 60 mm diameter in a plate of 5 mm thick with an ultimate shear stress of 50 N/mm2 is 706750 N.