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Equation of a Line Perpendicular to a Given Line

The total elo...

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 a force $P$ at free end is given by

A

P L / A E

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B

3 P L / A E

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C

2.5 P L / A E

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D

2 P L / A E

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Solution

The correct option is C $2.5 P L / A E$
$δ = δ_{i} + δ_{i i} + δ_{i i i}$

$= \frac{P L}{A E} + \frac{P L}{2 A E} + \frac{P L}{A E}$

$= \frac{2.5 P L}{A E}$

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