A bar in tension has a circular cross section and includes a tapered portion of length l,

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A bar in tension has a circular cross section and includes a tapered portion of length l, as shown.
(a) For the tapered portion, use Eq. (4€“3) in the form of δ = ˆ« l0[F/(AE)] dx to show that
δ = 4/π Fl/d1d2E

A bar in tension has a circular cross section and

(b) Determine the elongation of each portion if d1 = 0.5 in, d2 = 0.75 in, l = l1 = l2 = 2.0 in, E = 30 Mpsi, and F = 1000lbf.

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Shigleys Mechanical Engineering Design

ISBN: 978-1121345317

9th edition

Authors: Richard G. Budynas, J. Keith Nisbett

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