Concept explainers
(a)
The stress in the column.
(a)
Answer to Problem 22P
The stress is
Explanation of Solution
The cross sectional area is
Write the equation for stress.
Here,
Conclusion:
Substitute
Therefore, the stress is
(b)
The strain in the column.
(b)
Answer to Problem 22P
The strain is
Explanation of Solution
The cross sectional area is
Write the equation for strain.
Here,
Conclusion:
Substitute
Therefore, the strain is
(c)
The elongation due to the supporting load.
(c)
Answer to Problem 22P
The elongation is
Explanation of Solution
The height of column is
Write the equation to find the elongation due to the supporting load.
Conclusion:
Substitute
Therefore, the strain is
(d)
The maximum weight that can be supported by the load.
(d)
Answer to Problem 22P
The maximum load is
Explanation of Solution
The height of column is
When the column supports the maximum possible weight, the compressive stress will be equal to the stress.
Write the equation for the maximum weight that can be supported by the load.
Here,
Conclusion:
Substitute
Therefore, the maximum load is
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