Answered: P = 190 N 100 mm . 300 mm -200 mm…

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 plastic bar of diameter d = 32 mm is compressed
in a testing device by a force P = 190 N that
is applied as shown in the figure.
(a) Determine the normal and shear stresses acting
on all faces of stress elements oriented at (1) an
angle θ = 0°, (2) an angle θ = 22.5°, and (3) an
angle θ = 45°. In each case, show the stresses on
a sketch of a properly oriented element. What
are σ_max and τ_max?

(b) Find σ_max and τ_max in the plastic bar if a recentering
spring of stiffness k is inserted into
the testing device, as shown in the figure. The
spring stiffness is 1/6 of the axial stiffness of the
plastic bar.

P = 190 N
100 mm
.
300 mm
-200 mm
Re-centering
spring
(Part (b) only)
- Plastic bar
d = 32 mm

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