Mechanics of Materials (10th Edition)
10th Edition
ISBN: 9780134319650
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 10.3, Problem 10.6P
Use the strain transformation equations and determine the equivalent in-plane strains on an element oriented at an angle of θ = 60° counterclockwise from the original position. Sketch the deformed element within the x–y plane due to these strains.
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The state of strain at the point on the bracket has components Px = 350(10-6), Py = -860(10-6),gxy = 250(10-6). Use the strain transformation equations to determine the equivalent in-plane strains on an element oriented at an angle of u = 45° clockwise from the original position. Sketch the deformed element within the x–y plane due to these strains.
The state of strain at a point on the bracket has components of Px = 150(10-6), Py = 200(10-6), gxy = -700(10-6). Use the strain transformation equations and determine the equivalent in-plane strains on an element oriented at an angle of u = 60° counterclockwise from the original position. Sketch the deformed element within the x–y plane due to these strains.
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 (10th Edition)
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