Answered: b 4 P L 2

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

A rectangular bar of length L has a slot in
the middle half of its length (see figure). The bar has
width b, thickness t, and modulus of elasticity E. The
slot has width b/4.
(a) Obtain a formula for the elongation d of the bar
due to the axial loads P.
(b) Calculate the elongation of the bar if the material
is high-strength steel, the axial stress in the
middle region is 160 MPa, the length is 750 mm,
and the modulus of elasticity is 210 GPa.
(c) If the total elongation of the bar is limited to
δ_max = 0.475 mm, what is the maximum length
of the slotted region? Assume that the axial
stress in the middle region remains at 160 MPa.

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