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The deflection of a uniform circular bar of diameter d and length l, which extends by an amount e under a tensile pull W, when it carries the same load at its mid-span is
$$Â el / 2d $$Â
$$ (e^2 l) / (3d^2) $$
$$ (el^2 ) / (3d^2) $$Â
$$ √e / (3d^2) $$Â
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