P = 190 N 100 mm . 300 mm -200 mm Re-centering spring (Part (b) only) - Plastic bar d = 32 mm
P = 190 N 100 mm . 300 mm -200 mm Re-centering spring (Part (b) only) - Plastic bar d = 32 mm
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter11: Columns
Section: Chapter Questions
Problem 11.2.15P: Repeat Problem 11.2-14 using L = 12 ft, ß = 0.25 kips/in., ßRl= 1.5ßL2, and ßR2= 2 ßR1.
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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 σmax and τmax?
(b) Find σmax and τmax 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.
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