Mechanics of Materials (10th Edition)
10th Edition
ISBN: 9780134319650
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 2.2, Problem 2.2PP
A loading causes the mamber to deform into the dashed shape. Explain how to determine the normal strains εCD and εAB·.The displacement Δ and the lettered dimensions are known.
P2–2
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The strain components at a point in a body subjected to plane strain are &
850μ,
Ey
-300μ, and Yay
400μ. Determine the principal strains and the maximum
shearing strain at the point. Show the principal strain deformations and the maximum
shearing strain distortion on a sketch.
=
=
=
1. A loading causes the member to deform into the dashed shape. Explain how to
determine the normal strains ɛcd and ɛAB. The displacement A and the lettered
dimensions are known.
B
L.
L/2
A
2 L
(а)
L.
B
L/2
A
2 L
(b)
The strain components ɛ, Ey, and yy 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 0, the
principal strain deformations, and the maximum in-plane shear strain distortion in a sketch.
Ex = 300 µe, ɛ, = -710 pe, Vxy = -440 urad. Enter the angle such that -45°s0,s +45°.
Answer:
Ep1=
pe
Ep2=
με
Ymax in-plane =
prad
Yabsolute max.
prad
Əp =
Chapter 2 Solutions
Mechanics of Materials (10th Edition)
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