Concept explainers
The maximum contact force.
The height up to which the aluminum cylinder to be forged before the press stalls.
Answer to Problem 6.96P
The maximum contact force is
The required height of the cylinder is
Explanation of Solution
Given:
The power of motor is
The number of strokes per minute is
The stroke length of the crankshaft is
The initial diameter of the cylinder is
The initial height of the cylinder is
Formula used:
The expression for the initial radius is given as,
The expression for velocity is given as,
The expression for power is given as,
Here,
The expression for volume consistency of the cylinder is given as,
Here,
The expression for relation of force in terms of yield strength is given as,
Here,
Calculation:
The initial radius of the cylinder can be calculated as,
The velocity can be calculated as,
The force from the relation of power can be calculated as,
From volume consistency, relation between final radius and final height can be calculated as,
From the table 3.5, “Properties of various aluminum alloys at room temperature”, yield strength can be given as,
From equation (1) and (2)final radius of the cylinder can be calculated as,
On further solving,
Now from equation (2) height of the cylinder can be calculated as,
Conclusion:
Therefore, the maximum contact force is
Therefore, the required height of the cylinder is
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Chapter 6 Solutions
Pearson eText for Manufacturing Processes for Engineering Materials -- Instant Access (Pearson+)
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