An element of material in plane strain is subjected to strains εxx=480×10–6 , εyy=70×10–6 and τxy=470×10–6 . Determine the strains for an element rotated through an angle θ=80⁰, the principal strains and the maximum shear strains using (a) transformation relations, (b) using Mohr’s circle of strains.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter7: Analysis Of Stress And Strain
Section: Chapter Questions
Problem 7.7.4P: An element of material in plain strain is subjected to strains x = 0.0015, , y . = -0.0002, and xy =...
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An element of material in plane strain is subjected to strains εxx=480×10–6

, εyy=70×10–6 and

τxy=470×10–6

. Determine the strains for an element rotated through an angle θ=80⁰, the principal

strains and the maximum shear strains using (a) transformation relations, (b) using Mohr’s circle

of strains.

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