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 10.27P
The following readings are obtained for each gage: εa = −780(10−6), εb = 400(10−6), and εc = 500(10−6). Determine (a) the principal strains and (b) the maximum In-plane shear strain and associated average normal strain. In each case show the deformed element due to these strains.
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The strain components ɛx, Ey, and yxy are given for a point in a body subjected to plane strain. Using Mohr's circle, determine the
principal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle 0p, the
principal strain deformations, and the maximum in-plane shear strain distortion in a sketch.
Ex = 0 HE, ɛy = 380 µɛ, Yxy = 230 µrad. Enter the angle such that -45° s 0,s+45°.
Answer:
Ep1 =
με
Ep2 =
με
Ymax in-plane =
prad
Yabsolute max. =
prad
0, =
The strain components Ex, Ey, and Yxy are given for a point in a body subjected to plane strain. Using Mohr's circle, determine the
principal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle 0p, the
principal strain deformations, and the maximum in-plane shear strain distortion in a sketch.
Ex = 0 μE, Ey = 310 με, Yxy = 280 μrad. Enter the angle such that -45° ≤ 0,≤ +45°
Answer:
Ep1 =
Ep2 =
Ymax in-plane =
Yabsolute max. =
0p
=
με
με
urad
urad
The strain components ɛx, ɛy, and Yxy are given for a point in a body subjected to plane strain. Using Mohr's circle, determine the
principal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle 0p, the
principal strain deformations, and the maximum in-plane shear strain distortion in a sketch.
Ex = 0 µɛ, ɛy = 430 µɛ, Yxy = 230 µrad. Enter the angle such that -45° s 0,s+45°.
Answer:
Ep1
με
Ep2 =
Ymax in-plane
prad
Yabsolute max.
prad
%3D
Chapter 10 Solutions
Mechanics of Materials (10th Edition)
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