Consider the plane strain forging at 950C of a steel. The workpiece has the foll

Question

Consider the plane strain forging at 950C of a steel. The workpiece has the following dimensions: width = 100mm, depth = 500mm, and height = 150mm. Assume that the yield strength in tension is 65 ksi at room temperature, 40 ksi at 450C, and 20 ksi at 950C and the forging takes place at 10^2 / second. Calculate the forging load for the following: no friction, coefficient of friction at 0.2, and under the conditions of sticking friction.
How would your answer change if there were a 20% increase in temperature.
How would your answer change if there were a 20% increase in strain rate?
How would your answer change if there a 20% increase in the height? Consider the plane strain forging at 950C of a steel. The workpiece has the following dimensions: width = 100mm, depth = 500mm, and height = 150mm. Assume that the yield strength in tension is 65 ksi at room temperature, 40 ksi at 450C, and 20 ksi at 950C and the forging takes place at 10^2 / second. Calculate the forging load for the following: no friction, coefficient of friction at 0.2, and under the conditions of sticking friction.
How would your answer change if there were a 20% increase in temperature.
How would your answer change if there were a 20% increase in strain rate?
How would your answer change if there a 20% increase in the height?
How would your answer change if there were a 20% increase in temperature.
How would your answer change if there were a 20% increase in strain rate?
How would your answer change if there a 20% increase in the height?

Explanation / Answer

Let us consider Forging at 950,Flow stress at this temp is 20Ksi.

We know,

F's.A(1+ud /3h)

1)No friction

Therefore,

20×/4×.5^2,

u =0

=3.925Ksi

2)u=0.2

3.925+.22 =4.14Ksi

3)Sticking factor has the exponential relationship with Forging load I.e.

F=fs e^(2u/h)(a-x)

=20×e^(2×.2/.15)(.5-.1)

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