Answered: 46 h L2

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 small balcony constructed of wood is
supported by three identical cantilever beams (see
figure). Each beam has length L₁ = 2.1m, width b,
and height h = 4b/3. The dimensions of the balcony
floor are L₁ XL2, where L₂ = 2.5 m. The design
load is 5.5 kPa acting over the entire floor area.
(This load accounts for all loads except the weights
of the cantilever beams, which have a weight density
Υ = 5.5 kN/m³.) The allowable bending stress in the
cantilevers is 15 MPa.
Assuming that the middle cantilever supports
50% of the load and each outer cantilever supports
25% of the load, determine the required dimensions b
and h.

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