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Question

The total elongation of the structural element (fixed at one end, free at the other end, and of varying cross-section) as shown in the figure, when subjected to load 2P at the free end is


A
6.66PlAE
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B
5.55PlAE
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C
4.44PlAE
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D
3.33PlAE
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Solution

The correct option is A 6.66PlAE

Total elongation Δ

=Δ1+Δ2+Δ3

=2PIAE+2Pl3AE+2PlA2E

=2PlAE+2PI3AE+4PlAE=6.66PlAE

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