Answered: q = 200 lb/ft A C B -a = 12 ft- -b = 6…

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 beam ABC with an overhang from B to C supports a uniform load of
200 lb/ft throughout its length (sec figure). The beam is a channel section
with dimensions as shown in the figure. The moment of inertia about
the - axis (the neutral axis) equals 8.13 in⁴.
a. Calculate the maximum tensile stress oand maximum
compressive stress tr, due to the uniform load.
Find the required span length a that results in the ratio of larger to
smaller compressive stress being equal to the ratio of larger to smaller
tensile stress for the beam. Assume that the total length L = a + h=18 ft
remains unchanged.

q = 200 lb/ft
A
C
B
-a = 12 ft-
-b = 6 ft
y
|0.787 in.
2.613 in.
C
PROBLEM 5.5-23

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