Q.3) A structural member in plane strain has the following strains at a point: Ex = 360 µ, 8-230 μ , Χ- 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 Ex

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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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
Transcribed Image Text: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
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