재료역학7판05-03_chap

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Problem 5.7-2 A tall signboard is supported by two vertical
beams consisting of thin-walled, tapered circular tubes (see
figure). For purposes of this analysis, each beam may be
represented as a cantilever AB of length L
8.0 m subjected
to a lateral load P
2.4 kN at the free end. The tubes have
constant thickness t
10.0 mm and average diameters
dA
90 mm and dB
270 mm at ends A and B, respectively.
Because the thickness is small compared to the diameters,
the moment of inertia at any cross section may be obtained
from the formula I
d3t/8 (see Case 22, Appendix D), and
therefore the section modulus may be obtained from the
formula S
d2t/4.
At what distance x from the free end does the maximum
bending stress occur? What is the magnitude
max of the
maximum bending stress? What is the ratio of the maximum
stress to the largest stress
B at the support?
Solution 5.7-2 Tapered circular tube

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