Concept explainers
A uniformly tapered lube AB of circular cross section and length L is shown in the figure. The average diameters at the ends are dAand d£= 2d t. Assume E is constant. Find the elongation S of the tube when it is subjected to loads P acting at the ends. Use the following numerical data:^ = 35 mm, L = WO mm, E = 2.1 GPa. and P = 25 tN. Consider the following cases.
(a) A hole of constant diameter dAis drilled from B toward A to form a hollow section of length x - U2.
(b) A hole of variable diameter a\.x) is drilled, from B toward A to form a hollow section of length x = L/2 and constant thickness t = dA/20.
a.
The elongation of the tube when a hole of constant diameter dA is drilled from B to A to form a hollow section.
Answer to Problem 2.3.26P
The elongation of the tube when a hole of constant diameter dA is drilled from B to A to form a hollow section is 2.18 mm.
Explanation of Solution
Given:
From the given information, the area is calculated.
For the length
For the length x .
The elongation is calculated.
Given
Substituting the values:
Conclusion:
The elongation of the tube when a hole of constant diameter dA is drilled from B to A to form a hollow section is 2.18 mm.
b.
The elongation of the tube when a hole of variable diameter
Answer to Problem 2.3.26P
The elongation of the tube when a hole of variable diameter
Explanation of Solution
From the given information, the area is calculated.
For the length
For the length x .
The elongation is calculated.
Given
Substituting the values:
Conclusion:
The elongation of the tube when a hole of variable diameter
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Mechanics of Materials (MindTap Course List)
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- Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning