Concept explainers
(a)
The expression for average pressure in plain-strain compression with Tresca friction.
(a)
Answer to Problem 6.82P
The expression for average pressure in plain-strain compression with Tresca friction is
Explanation of Solution
The figure (1) shows the force analysis in forging method,
Figure (1)
Using force balance in x-direction,
Here,
On solving the above equation,
Applying the boundary conditions,
The value of
The normal stress can be calculated by equation (1),
The condition for the die pressure is given as,
Here,
Substitute the values of
For
For
Adding equation (2) and (3),
Conclusion:
Therefore, the expression for average pressure in plain-strain compression with Tresca friction is
(b)
The expression for average pressure in plain-strain compression with sticking friction with
(b)
Answer to Problem 6.82P
The expression for average pressure in plain-strain compression with Sticking friction is
Explanation of Solution
The figure (2) shows the force analysis in forging method,
Figure (2)
Using force balance in x-direction,
Here,
On solving the above equation,
Applying the boundary conditions,
The value of
The normal stress can be calculated by equation (1),
The condition for the die pressure is given as,
Here,
Substitute the values of
For
For
Adding equation (2) and (3),
For sticking friction
Conclusion:
Therefore, the expression for average pressure in plain-strain compression with Sticking friction is
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Chapter 6 Solutions
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