Answered: q= PIL B A A B Sliding support P (a)…

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 tapered cantilever beam AB of length L has
square cross sections and supports a concentrated
load P at the free end (see figure part a). The width
and height of the beam vary linearly from h_A at the
free end to h_B at the fixed end.
Determine the distance x from the free end A to the
cross section of maximum bending stress if h_B = 3h_A.
(a) What is the magnitude σ_max of the maximum
bending stress? What is the ratio of the maximum
stress to the largest stress B at the support?
(b) Repeat part (a) if load P is now applied as a uniform
load of intensity q = P/L over the entire
beam, A is restrained by a roller support, and
B is a sliding support (see gure part b).

q= PIL
B
A
A
B
Sliding
support
P
(a)
(b)

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