Answered: y Aluminum 40 mm Steel O 80 mm 30 mm

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

The cross section of a composite beam made
of aluminum and steel is shown in the figure. The moduli
of elasticity are E_Al = 75 GPa and E_s =200 GPa.
(a) Under the action of a bending moment that produces
a maximum stress of 50 MPa in the aluminum,
what is the maximum stress σ_s in the steel?
(b) If the height of the beam remains at 120 mm
and allowable stresses in steel and aluminum are
defined as 94 MPa and 40 MPa, respectively,
what heights h_Al and h_s are required for aluminum
and steel, respectively, so that both steel
and aluminum reach their allowable stress values
under the maximum moment?

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