Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Chapter 10.3, Problem 12P
Determine the equivalent state of strain on an element at the same point oriented 30° clockwise with respect to the original element. Sketch the results on this element.
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Students have asked these similar questions
1. Find the relationships between strain components in the polar coordinate and
strain components in the rectangular coordinate.
For the state of a plane strain with Ex, Ey and yxy components: (a) construct Mohr's
circle and (b) determine the equivalent in-plane strains for an element oriented at
an angle of 30° clockwise.
Ex = 250 x 10-6
Ey = 310 x 10-6
Yxy = -100 × 10-6
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.
Chapter 10 Solutions
Mechanics of Materials
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