Mechanics of Materials
9th Edition
ISBN: 9780133254426
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Textbook Question
Chapter 10.3, Problem 10.7P
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.
10−7. Solve Prob.10-6 for an element oriented θ = 30° clockwise.
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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 60o strain rosette is mounted on the surface of the bracket. The following readings are obtained for each gage: ϵa = -650(10-6), ϵb = 450(10-6), and ϵc =670(10‑6). Determine the plain strain components ϵx , ϵy and γxy at that point.
Chapter 10 Solutions
Mechanics of Materials
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