Mechanics of Materials (10th Edition)
10th Edition
ISBN: 9780134319650
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 10.5, Problem 10.26P
The following readings are obtained for each gage: εa = 475(10−6), εb = 250(10−6), and εc = −360(10−6). Determine the in-plane principal strains.
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The state of plane strain on an element is represented by the following components:
Ex
=D340 x 10-6, ɛ, = , yxy
Ey
=D110 x 10-6,
3D180 x10-6
ху
Draw Mohr's circle to represent this state of strain.
Use Mohrs circle to obtain the principal strains and principal plane.
A 60º strain rosette, or delta rosette, is composed of three electrical resistance strain gauges arranged as shown in figure 5. Strain gauge A measures the normal strain εa in the x-axis direction. Strain gauges B and C measure the strains εb and εc in the indicated inclined directions. Using Mohr's Circle, obtain the equations for the strains εxx, εyy and γxy associated with the x and y axes.
For the given state of plane strain, use Mohr's circle to determine the state of plane strain associated with axes x' and y rotated
through the given angle 0.
Ex = 0, Ɛy= +320µ, Yxy=-100µ, 0 = 25°
(Round the final answers to one decimal place.)
X
The strains are
Ex' =
Ey'=
Yx'y'=|
Chapter 10 Solutions
Mechanics of Materials (10th Edition)
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