Concept explainers
The load required for each step.
Answer to Problem 2.91P
The load required in intermediate step is
Explanation of Solution
Given:
The initial height of the cylinder is
The intermediate height of the cylinder is
The final height of the cylinder is
The initial diameter of the cylinder is
Formula used:
The expression for the intermediate diameter is given as,
The expression for the final diameter is given as,
The expression for intermediate cross-sectional area is given as,
The expression for final cross-sectional area is given as,
The expression for true stress at intermediate step is given as,
The expression for true stress at finalstep is given as,
The load required at intermediate step is given as,
The load required at final step is given as,
Calculation:
The true strain for intermediate step calculated is,
The true strain for final step calculated is,
Refer to table 2.2 for aluminium
The intermediate step diameter can be calculated as,
The final step diameter can be calculated as,
The intermediate step cross-sectional area can be calculated as,
The final step cross-sectional area can be calculated as,
The true stress at final step can be calculated as,
The true stress at intermediate step can be calculated as,
The load required for intermediate step can be calculated as,
The load required for final step can be calculated as,
Conclusion:
Therefore, the load required in intermediate step is
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