Answered: The doubly-symmetric beam cross section…

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 doubly-symmetric beam cross section shown in Figure P12.3b has been proposed for
a short foot bridge. The cross section will consist of two identical steel pipes that are securely
welded to a steel web plate that has a thickness of t = 9.5 mm. Each pipe has an outside diameter
of d = 70 mm and a wall thickness is 5 mm. The distance between the centers of the two pipes is
h = 370 mm. Internal forces of P = 13 kN, V = 25 kN, and M = 9 kN·m act in the directions
shown in Figure P12.3a. Determine the stresses acting on horizontal and vertical planes:
(a) at point H, which is located at a distance of yH = 120 mm above the z centroidal axis.
(b) at point K, which is located at a distance of yK = 80 mm below the z centroidal axis.
Show the stresses on a stress element for each point.

N
HV
К'
M
P
FIGURE P12.3a
X
Z
Ун
Ук
H
K
y
h
FIGURE P12.3b

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