Question

In: Mechanical Engineering

A sheet metal with a thickness of 3 mm has a limiting drawing ratio of 2.4....

A sheet metal with a thickness of 3 mm has a limiting drawing ratio of 2.4. Calculate the largest circular blank that could be used successfully in deep drawing a cylindrical cup with an internal diameter of 75 mm. Also calculate the punch force required when the sheet metal has an ultimate tensile strength of 530 MPa.

Expert Solution

(a) In deep drawing process, the large tensile stresses experienced by the cup wall leads to thinning and at times tearing. Hence there should be a limit to the drawing ratio so that the tensile stresses will be below certain limit. This drawing ratio is called Limiting Drawing Ratio. (LDR)

Where, D_i = Initial diameter (Blank diameter)

D_f = Final diameter (Diameter of cup)

(b) Punch force:

The punch force is calculated using the following empirical formula,

Where,

t = thickness of sheet = 3 mm

= Tensile strength = 530 MPa

C = A constant accounting for friction and bending.

The value of C is between 0.6 to 0.7.

Assume C = 0.6 for slightly safer load.

Any feedback is appreciated.

samet mamat answered 2 years ago

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