Answered: 1.5 q A iC B. 2b -2L * -L-

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 steel beam ABC is simply supported at A
and B and has an overhang BC of length L =150 mm
(see figure). The beam supports a uniform load of
intensity q = 4.0 kN/m over its entire span AB and
1.5q over BC. The cross section of the beam is rectangular
with width b and height 2b. The allowable
bending stress in the steel is σ_allow = 60 MPa, and its
weight density is Υ = 77.0 kN/m³.
(a) Disregarding the weight of the beam, calculate the
required width b of the rectangular cross section.
(b) Taking into account the weight of the beam,
calculate the required width b.

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