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 10.23P
Determine (a) the principal strains at A, (b) the maximum shear strain in the x-y plane, and (c) the absolute maximum shear strain.
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1. Find the relationships between strain components in the polar coordinate and
strain components in the rectangular coordinate.
The state of strain in a plane element is Ex = -300 x 10-6 , Ey= 450 x 10-6, and
Yxy = 275 x 10-6.
(a)
Use the strain transformation equations to determine the equivalent
strain components on an element oriented at an angle of 0 = 30°
counterclockwise from the original position.
(b)
Sketch the deformed element due to these strains within the x-y
plane.
Q.3) A structural member in plane strain has the following strains at a point:
& 360 μ ,
E, = 230 µ,
Ky = 150 µ
(a) Determine the strains for an element oriented at an angle of 60° counter
clockwise.
(b) Determine the principal strains and the maximum shear strain using strain
transformation equations.
(c) Show the result of parts (a) and (b) via sketches of properly oriented elements.
Ey
Yxy
1
Ex
Chapter 10 Solutions
Mechanics of Materials (10th Edition)
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